Upgrade to Pro — share decks privately, control downloads, hide ads and more …

Computational OT #2 - Entropic regularization

Avatar for Gabriel Peyré Gabriel Peyré
April 09, 2025
74

Computational OT #2 - Entropic regularization

A course on computational optimal transport

Avatar for Gabriel Peyré

Gabriel Peyré

April 09, 2025
Tweet

Transcript

  1. Entropic Regularization Numerical Optimal Transport Gabriel Peyré É C O

    L E N O R M A L E S U P É R I E U R E www.numerical-tours.com http://optimaltransport.github.io
  2. Overview • Entropic Regularization and Sinkhorn • Convergence Analysis •

    Sinkhorn Divergences • Generative Model Fitting
  3. Schrodinger Lazy Gaz Problem 7.6. Dynamic Formulation over the Paths

    Space 111 Á = 0 Á = .05 Á = 0.2 Á = 1 Figure 7.5: Samples from Brownian bridge paths associated to the Schrödinger entropic interpola- tion (7.20) over path space. Blue corresponds to t = 0 and red to t = 1. We refer to the review paper by Léonard [2014] for an overview of this problem and an historical account of the work of Schrödinger [1931]. One can show that the (unique) ı
  4. Entropic Regularization Schr¨ odinger’s problem: [1931] Erwin Schrödinger min P1=a,P>1=b

    P i,j d(xi, yj)pPi,j + "Pi,j log(Pi,j) <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">AABF5nictVxfc9u4EYfv+ufq/kvax77w6qST9NzUdq/TztzczCWy4/jiJEokO7mLEg8p0TIdSlRIUXGi01fo9KXTaZ/6Tfo5+gE60z71K3SxAAhQArmgm4ZjGwTx210sgcXuAkwwiaNsurX1j7UPPvzWt7/z3Y++t/79H/zwRz++cvUnx1mSp/3wqJ/ESfos8LMwjsbh0TSaxuGzSRr6oyAOnwavWvz501mYZlEy7k7fTsIXI384jk6jvj+FqpOrax9e6+WjaDzvZf00mkyz6F3o9dpeLxmH2ec9v7UJdy9702SiqoLWYt3rZfnoZD7voQDzNBwsosWmug3iPFycLxbe4IbZ4uJkuc3bk/PFzZdAuU3TWv/E64WTLIqTsVP7XpwMbzg0vLl+bf3kysbWrS38560WtmVhg8l/7eTqx/9kPTZgCeuznI1YyMZsCuWY+SyD6znbZltsAnUv2BzqUihF+DxkC7YO2BxahdDCh9pX8HsId89l7RjuOc0M0X3gEsNPCkiPXQdMAu1SKHNuHj7PkTKvraI9R5pctrfwN5C0RlA7ZWdQS+FUS1cc78uUnbLfYx8i6NMEa3jv+pJKjlrhkntGr6ZAYQJ1vDyA5ymU+4hUevYQk2HfuW59fP4vbMlr+X1fts3Zv1HK63B5rCN7nxQUfDZD+h6+zRyeCXli4DwECqHsIy+9QV2PsPdjaD+H+odwLbCkdBLANcfaRS2yBZcN2SKR+3DZkPsk8hAuG/KQRLbhsiHbEsmxKercju/AZcN3SM6P4bIhH5PIJ3DZkE9I5DFcNuQxifwaLhvyaxJ5Fy4b8i6JvA+XDXmfRHbhsiG7JPIILhvyiETuwWVD7klk9UxN4UqQTkTMyttQLvPgliKGmtukfHfQOtqwdxzmdL8CS8/qXfhrx+466DSswO45jLvTCiw98vbBRtqxtC26h6uJDXuPxB7ACLBjD0jsl+y8Avulw0x7VYGl59ohtLNjaev7AO7s2Ack9iGU7Fh6jXoENXbsI4cVY1KBbZPYx+x1BdbF6qcVWNrud8Cu2LH0OtWF9nasizXNK7C0PT0GD8aOpVerp1Brxz4lsc/YRQX2GYn9Cqy7HfuVwwr7rgKr1th1XEGG6I+EMGPrqPnFrOSlCVDzCf5xsbbE6BsHUE9hhgVmiJgRidgvEPuOiMMCcegsV1bY0Qz9XZpLp0B0HBFBsTbx0pRsPyja81LsgNgtELtLiDqPlL9r1ZcZeheqhkJOi5WLl1z6lBT2m5dCOR7qLa9CPCohxNg+w5G/idESj6C4puqonRVrvEB6eF+HeIPRm+ql4kHjpoVVMFEXJCqwoAIS9daCekuicgsqJ1EzC2pGovTMN3E9hxGg9c/fxRzvxAgQPnL15YFXcBtWnXswRz0YP23wAp9gzSP428HYm7rqJOPRPF8neZbjRckSp1Casw2o11HhLsbXMc6wECQTLR/JGJ/f8dzGXM45YYUXxUruFRkTdzoRyjMs6HBv0cP51IzOfaxZoHcnSs3w94p5r0rN8Huo8QV68aLUDD+V0k8vIXtXYruXwHZgNk2k9nW5KQ2RfxE0VHkdV11ucflbHckxw+ldNKR/IN/MwSXeSwtLQj+63IxGZvQvK/WvCQ2t58zQczMq3HsSXq8qeY17MpZxry43lSHBVXQs5dB3Td8MbzOQb0aVm9Fog8fVwph7bpSbjt5J0RtdbkbjmIm85wI9eVVuRmOI90IfutyMBs+2+DLO1+Wmlp1rQMTOutzUqo8xC8xzQGLMixrtFaXoJ+WSWoT+QX22xvT5V9cxnrN5WcQI9ZS0b1tNJyjWsnqJlL8QglWbNpSD+xe54YOVaczZDhlfCRmmpfV9lY5e47nmD0GLHsx+sQdA5cxjkFDlJLj1joHiNhl1lXumcDskjo+S0yVUT9ZOSW9R8xVZo3LdCdZScZnurdZjD+11hmNvgj7hIWqW0sNh5Ruuokhp6LCkIZpeE929k/O1rP0tEjdZQkyKkdbHHSGxk1Yfp9q03jF0fF3u8kzhEns+evzybPOptDY85knQFnFZ6nia7VQeyazj6+om0zlu8czDN8rt1QytRoQ7UhkZhapssfDG53ivaR/hnhznIWj04T16ksqEiV0znkXn+XQPLappbyneXF8qQyfKGVpdZY/r0UMDPbSgm8c4LVgxHkKpCzHDEdx1HaKc9UJXCWo8Zb8qdkcTfIP1EX1cspCKhrA3YclC1kXZZyUqbwDNR4OI0t1pLNNR+N4KJTrqt8mjY9ey5b+OO7dqf9vHMV49mqszMQPkuoNcPZw1YldX3C1zEBLMrU920H+t7yXn14Qjt6EU15cGZ6GXMe74hxjBTtAzjnG2UbOj3NrMTy0/UZzaTO2d893sBC2kh/bPg/UpwTHp4Y95dkDtoAuLEKONdLE7UeHd2HydiBxj2o+LmDjVoMdbiLYsR/6Krjm7MhyLImIQ68BiaWwrnRyiLxgi11Radz2361cfjtTnJMxRIijqsXID+d/E3+pHjZONlRHBNczfQCZtne19JBizcB35uMrX2yDV1pTyWiHDSym1Xv+0TNdKku1ixMXl4av1ADj38V7w4qMkRbmzlTZiHa3L5nLKkyU98t6eYhQv7P5QrsBc7k1cJTdwzvVwlAxhFEyLKEK1pbLIy3zreZWpu9HO/i/Uta7LWuMUPaYzuEJDVH4/xGjNlDKGUS3G7yucTXatp0ut6vmMcSyOjLn8DdR+DL+V3OrejU5Qsgp3cAwICvpOa0TUeCst3HjdKfFSI1PR0veanx6TqpVZc5n4Wlg3HWPPGlNp46i5kFkLVb4MjXODxrmjDru416i1qOqVJTohY4uu3K105deEW7cB5ZykTHtkChU5SGnGUm5UByRVOsZXqHckrS2Slg+z1dwNMOe8C9I+15dn9zfF6u6xu+jb9NEDE/HLAGdphD6Xqq2P1AQFzvlTaV/N2d/DGs49QAvKKYtznHzGiF2nPl6LQtJfyJUtQTuvLYI6t/RGtlE2tofl36wgRzgnMpyXCvEptgil/KYc3pJFumX4HB5m/n30qYTfUR8zm631O/FK/oSON8Ws0rxEpDBG/VOZt4OV6PXAiF89jAlz6V0HQKv5G+YUBEZlEuyeZYZviK9yYidBeLQB2s9VOyV28caGRLdQ6jn73MHGiKhXj3VzbKkeq779Elpyreu3bmtB84udOVL8LrOj5+OqNpI+6nzp/nK0fLnKle/r9JAv8dX6yLGNGVnoKK+M6bHPnLkIiZpxERgXLs160UT+ZpI3kVnsTrlSVq0V5XKmQdiYM4yXqHOgHGHz7m5YvbmbRD+CFXoBYk1qooaixLNxicwPmJaWZ6W8pQjJrKfWpNhYj6rWC83DXDW0HReWMkQrGDMqdyNam33olaIVOhsjKPSZONlbFSeaND+Di//2mC1KVBxdcogd8HNvsxbbew+nIl7LsshseljDbcJgKQb3ZT/LLep19NqgbtJ34eDOIwJdU9JHuKI2lV1QpiU3qbvTf4PWIGUhKb1u2bwPJhe6J6ucmvQnQgtH9yZi6pucpn1RHFx6Uubizkfsb1C9OGXq26ZmfVDU6R6UOTThoc4zuL1z3bo5L5NTvb5WubjyEOuA2nlROL4DWB2z6HYuFio13sj758Ctw2kNdbVa/K/9UHw0p+a8XLll+M3ZucNbF+1CmZnlfnHzOaO5uYzmao7uPJOid9prsvMT/p/X6E0lRm/eP33ul+oxoHjNmciH0tIJvDmKtLyuVPj+gE2GhP2H/X2N/irhdUGjSo4mlNR+RTU11YKmpr68tPVOPXORSdOpkqlMTccTHTwZ22IH7C78tAoPsOkpUfFNpfjLsfbvaAdQe4rWQ2XTRQahh3UhZkH0btoA7/U52iqJ+Zlecca3CzV8T/wQa/l534fYnp/57Zb6Vv0liZjrD1jCBqXIZHmXT8+rAHpQ3oETuSD1va+HZ+pFNkucQBs57DGKc1QiUlJfP88RMcC4cFnSOSLUaKmjHFgpB3gmKaygHZT61scRPpE7/XzfgZ/P94vsksd+jXW+XB34Sk1J1bZI9RwzAwHqfwsitN+yTfi7Kct2Sdsrkmb4DsoSXRjP6k+CLazjQn/NeB3zYCpTN5PtEozq9e5hfSZ2t5KLOPFejx/W4IeGlB18W68w7k5Zfe4wr6GZS5nM/dwxU3lPoQcezfrF+KiPn2c1vGYO/b9fib5vSLoPsgSYbfdwPy9FerHUzR5KL85V1udt79VIq77aFDT1yUo9DtQZyfo9gViOu+rZL85BUrmasIKOOdfFiUzqtEhkpUTPz4nDaQjfobd0X116SlHJSUlyhy+RZw6yzBzonBLSnJIUhqQk0j6cXNnYXv6/PlYLxzu3trdubT/e2fjijvx/QD5iP2M/Zzdg7fsd+wLGf5sdsf7a+dof1/6y9te9s70/7P1p78+i6QdrEvNTVvq397f/AqSbpLU=</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit>
  5. Entropic Regularization Schr¨ odinger’s problem: [1931] Erwin Schrödinger min P1=a,P>1=b

    P i,j d(xi, yj)pPi,j + "Pi,j log(Pi,j) <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> <latexit sha1_base64="lE/k9lOb2WQUJfFwSPAJCPXHvR8=">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</latexit> ↵ <latexit sha1_base64="UMdzEzIP/rSMMKlIrQroFPs5ZKw=">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</latexit> xi <latexit sha1_base64="85425Mtdp1N95FYJosqiPm2k8Fg=">AABB0XictVzdchu3FYbTv9j9idNe9mZbxR2n47iy42mayXQmsiTLimmbNinZSWh7+LOiaS+5NJeULTOa6fS2j9Db9jn6HH2D9qqv0PMDLLAkdg9WdYURhcXiO+fgLHBwzsFSvWkyyuabm/889973vv+DH/7o/fMXfvyTn/7sg4sf/vwwSxezfnzQT5N09rjXzeJkNIkP5qN5Ej+ezuLuuJfEj3ovt/H+o+N4lo3SSXt+Mo2fjLvDyeho1O/OoenZxQ86RGPZSxbx6cmzF88ubmxe3aSfaL1yTVc2lP5pph9GB6qjBipVfbVQYxWriZpDPVFdlUH5Vl1Tm2oKbU/UEtpmUBvR/VidqguAXUCvGHp0ofUlfA7h6lvdOoFrpJkRug9cEvidATJSlwCTQr8Z1JFbRPcXRBlby2gviSbKdgJ/e5rWGFrn6jm0SjjTMxSHY5mrI/UHGsMIxjSlFhxdX1NZkFZQ8sgZ1RwoTKEN6wO4P4N6n5BGzxFhMho76rZL9/9FPbEVr/u670L9m6S8BCVSLT36NKfQVcdEP6KnuYB7LE8CnIdAIdZjxNpr0vWYRj+B/ktovwfllGpGJz0oS2o9rURuQ/Eht0XkHhQfck9ENqD4kA0R2YTiQzY1ErEz0rkf34Liw7dEzg+g+JAPRORDKD7kQxF5CMWHPBSR30DxIb8Rkbeg+JC3ROQdKD7kHRHZhuJDtkXkARQf8kBE7kLxIXc1snylzqCkRGckrMotqBd5oKVIoGVLlO8mWUcf9mbAmu6XYOVVvQN//didAJ3GJdjdgHl3VIKVZ94e2Eg/VrZFt2k38WFvi9h9mAF+7L6I/Uq9KMF+FbDSXpZg5bXWgH5+rGx978KVH3tXxN6Dmh8r71H3ocWPvR+wY0xLsE0R+0C9KsGGWP1ZCVa2+y2wK36svE+1ob8fG2JNFyVY2Z4eggfjx8q71SNo9WMfidjH6k0J9rGI/Rqsux/7dcAO+7YEa/bYC7SDDMkfiWHFVlHr5qsSa1Og1hX4J/nekpBv3IN2CTPMMUPCjEXEXo7YC0Q0ckQjWK4st6MZ+bsyl1aOaAUievnehLW52H+Q98daEoDYyRE7K4gqjxSftRnLMXkXpkVCzvOdC2shY0pz+421WM+HastrEPcLCJ7bz2nmX6FoCSMo1FQVtef5Hs/IiK6rEK8pejOjNDxk3Dy3Ci7qjYjqeVA9EXXiQZ2IqIUHtRBRxx7UsYiyK9/FdQJmgNU/PoslXfEMYB+5vETgFWzBrnMb1mgE86cJXuBDarkPf1sUe0ulSjKM5nGfxCzHk4IlnkFtqTag3UaFOxRfJ7TCYpCMe97XMT5eYW5jqdccW+HTfCeP8oxJOJ0RyTPM6aC3GNF6qkfnDrWcknfHtXr42/m6N7V6+F3S+Cl58Vyrh59r6ednkL2tse0zYFuwmqZa+7ZelwbnX5iGqV+gXRctLj7VsZ4zSO9NTfr7+snsn+G5bFON9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JRMe9tl5XhpR20YmWw17VfTLYZ6CfjKnXo9EEj2ubYu6lU687e6f5aGy9Ho1DxXnPU/LkTb0ejSFdsz5svR4NzLZ0dZxv63UtO2qAY2dbr2vVJ5QFxhwQz3lusV7RjPykhaY2Iv+gOlvj+vzr+xjmbJ7mMUI1JevbltPp5XtZtUTGX4jBqs1ryoH+xcLxwYo0luq6GF+xDPPC/r5Ox+7xqPkGaDGC1c9nAFLOPAEJTU4CrXcCFK+JUVdxZAZ3XcThLDlaQXV061z0Fi1fzhoV255RqxSX2dFaPXbIXmc096bkEzZIs5IeGqVPuIyipKFGQUMyvTq6e6vXa1H7myJuuoKY5jOtTydCfJJWHaf6tN5ydHxJn/LMofCZj52/mG0+0tYGY56UbBHKUsXT7WfySG4b7qtXlM1x872Inijaq2OyGiM6kcrEKNRki9kbX9K1pX1AZ3LIg2n04TlGmspU8akZZtExnx6RRXXtrcQb9WUydFzPyOoae1yNHjrooQddP8bZhh3jHtTaEDMcwFU7IMq5kOsqJY3P1Cf56WhKT7A6ok8KFtLQYHsTFyxkVZT9vEDlNaBxNnCUHk5jlY7Bd9YoyVG/Tx4buxYt/yU6uTXn212a4+WzuTwTMyCu14lrRKuGT3X5apUDS7D03rlO/mv1KJFfHY5oQyWuTx3OrJcJnfjHFMFOyTNOaLVJq6PY281Prd4xnJrKnJ3jaXZKFjIi+xfB/pTSnIzo1313wJygs0VIyEaG2J1R7t34fJ2ROMesHzdS/FaDnW8x2bIF8Td03dWV0VzkiIH3gdOVuW100iBfMCauM23d7dqu3n0Qad+TcGcJU7Rz5TLx/5g+za+ZJxtrMwI1jE8g07bO9zxSillQR13a5attkOnrSvlRLsNTLbXd/6xMHxUk26GIC+XB3XoAnPt0zbxwlsxI7mytD++jVdlcpDxd0SOO9oiieLb7Q70Do9xXaJfcoDXXoVkyhFkwz6MI01fKIq/yreZVpB5GO/u/ULe6LmoNKUbKZnBZQ1J+P6ZozZUygVnN8/clrSa/1mcrvar5TGgujp21/B20/go+jdzmOoxOr2AVbtIcYAr2ymqEW6K1HmG8bhZ4mZlpaNlry8/OSdPLbTlLfM3WzcbYx7WpNGnWvNFZC1M/C40XDo0XgTps01mj1aJpN5bomRhbtPVpZSi/OtzaNSgvRMqyR2ZQowAp3VgqjOpApCrH+Ab1VqS1KdLqwmp1TwPcNR+C9K/11dX9Xb67R+oW+TZ98sA4fhnQKh2Rz2VaqyM1poCcb2j76q7+DrUg9x5ZUKTM73HiiuFTpz6V01zS3+idLSU7by2CeW/pte5jbGyH6p+uIce0JjJalwZxg3rEWn5XjmjFIl11fI6IMv9d8qnY76iOmd3e9plEBX/Cxpu8qiwvjhQmpH8p87a/Fr3uO/FrRDHhQnvXPaBV/wkjBcaYTILfs8zoCeEuxycJ7NH2yH6u2yk+xZs4El0lqZfqjwE2hqNeO9fduWVGbMb2W+iJWrdP3ddD5pcEc5T4neVEr0u72lj7qMuV67PR6updrnhdpYfFCl+rjwX1cSMLG+UVMR31RTAXlqgeF8aEcKk3ijry15O8jsx8OhVK2fQ2lIuZBrYxzylekt4DRYTPu7vs9eY+FsbRW6PXI6xLjVskSpiNS3V+wLW0mJU6v7YPcev5yt0ocXaisp3CUHd3C2u/2ULGZP0SJeVsuLcre6cQpchZGKbQV/xGb1l86NL8Agp+RsoXHRqOIbnDFvi3W2pb7b6DtyFe6TpnNCNqQVswWIm9u3qcxR7VOnrlUHfph3AI5zECXUvSj2gnrSs7U5Yld6mH039NVmCmYlF627P+GFwu8kjWOdUZz4gsmzyakTLfxak7FsMhZCRFLuF8+FxDGsWRMt9pqjcGQ10eQZFDHR7mPYawZ2571+flcqrW1zqXUB68C5gTF4PDk7/yWMX2C7FQM+eJvHsOaB2OKqib3eJ/HYfhYznV5xXKLaPvmr0IeOrcL9YZWfSH668Zyy1kNpdzDOeZ5qOz3pKfH/t9Ua0nlTqjeff00R+1c8DwWirOg8rSMd6dRVbeUCp4LuCTIVX/Uf84J38b4VVOo0yOOpTMOUU5NdNDpma+cekbnbkXIpOlUyZTkZqNI1r0Ruy22le34Hc79wDrvh3K36Xkv4j1f392AK1HZD1MFp0zBx1qiyn7YU/RBnRt358tkxjf5eV3e9vQgmfhDWrF93zvUX9817ddGFv5N0h4rd9VqRoUIpLV0z27rnowguLJG+eAzPd8I3qXnrNY/ObZOOBs0bw/tSrRku7Ibxb0SvE9R8o+zdWpPqvHkwN8w76b54ci9Ttq62o7j3uuxLlZyrm5wjkj7RQ5vHHuVb+bVcZl2+EyyHNnx7pfSnG2Pc+rzo3ulHLhd9Cr8cMK/NCRskXaf0mR8ExVZ/MWFTQXWib3hHWiTCaS9YBxZjd/3tWR7XEFr+OA8d8pRd9xJN0DWXqU/47ohG1G9BKtm12Snt90rM6k3q6QVn+Pkv67wef0E3Hlsxu68vm1/L8bHF6/eu33Vz99cGPjy5v6/xy8r36pfq0uwxr/TH0J1JrqQOH/O/ir+pv6+1Zr62TrT1t/5q7vndOYX6jCz9Zf/gtVlqfW</latexit> yj <latexit sha1_base64="AjvyP616PW7X5tv4qCOtAQ6pKZE=">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</latexit> Pi,j > 10 3 " <latexit sha1_base64="wZX1IFUAaUK1mlhBZW6+5P+28Fg=">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</latexit> " = 0
  6. Entropic Regularization: General Case Relative-entropy: <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">AABB0nictVxbcxPJFW42t4XcIHnMyyReUmyKdYyzVblspWqNbYwXAQbJwO4KKF3GQjDSCI0kA1o/pPKav5DX5Gfkd+QfJE/5CzmX7ukeqWdOj0Post3T6u+c02e6T59zukV3kgyz2dbWPy988K1vf+e73/vw4qXv/+CHP/rx5Ss/eZSl82kvPu6lSTp90u1kcTIcx8ez4SyJn0ymcWfUTeLH3Ve7+PnjRTzNhum4NXs7iZ+OOoPx8GTY68yg6fnlKw/jBKqL+JN4PJumk7d/eH55Y2tzi/5F65UburKh9L+j9Ep0rNqqr1LVU3M1UrEaqxnUE9VRGZSv1Q21pSbQ9lQtoW0KtSF9HqszdQmwc+gVQ48OtL6C3wN4+lq3juEZaWaE7gGXBH6mgIzUVcCk0G8KdeQW0edzooytZbSXRBNlewt/u5rWCFpn6gW0SjjTMxSHY5mpE/U7GsMQxjShFhxdT1OZk1ZQ8sgZ1QwoTKAN6334fAr1HiGNniPCZDR21G2HPv8X9cRWfO7pvnP1b5LyKpRINfXo05xCRy2IfkRvcw6fsTwJcB4AhViPEWunpOsRjX4M/ZfQfg/KGdWMTrpQltR6VoncheJD7orIAyg+5IGIbEDxIRsi8giKD3mkkYidks79+CYUH74pcn4AxYd8ICIfQvEhH4rIR1B8yEci8isoPuRXIvIWFB/yloi8A8WHvCMiW1B8yJaIPIbiQx6LyH0oPuS+Rpav1CmUlOgMhVW5A/UiD7QUCbTsiPLdJOvow94MWNO9Eqy8qvfgrx+7F6DTuAS7HzDvTkqw8sw7ABvpx8q26DbtJj7sbRF7CDPAjz0UsV+olyXYLwJW2qsSrLzWGtDPj5Wt71148mPvith7UPNj5T3qPrT4sfcDdoxJCfZIxD5Qr0uwIVZ/WoKV7X4T7IofK+9TLejvx4ZY03kJVranj8CD8WPl3eoxtPqxj0XsE/WmBPtExH4J1t2P/TJgh31XgjV77CXaQQbkj8SwYquodfJVibUJUOsI/JN8b0nIN+5Cu4QZ5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsT9AoLn9gua+dcpWsIICjVVRe1FvsczMqLnKsQpRW9mlIaHjJvlVsFFvRFRXQ+qK6LeelBvRdTcg5qLqIUHtRBRduW7uHbADLD6x3expCeeAewjl5cIvIId2HVuwxqNYP4cgRf4kFruw98mxd5SqZIMo3ncJzHL8bRgiadQW6oNaLdR4R7F1wmtsBgk4573dYyPT5jbWOo1x1b4LN/JozxjEk5nSPIMcjroLUa0nurRuUMtZ+Tdca0e/na+7k2tHn6fNH5GXjzX6uFnWvrZOWRvaWzrHNgmrKaJ1r6t16XB+RemYeqXaNdFi4tvdaTnDNJ7U5P+oX4zh+d4L7tUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtZxr63XlSGlXXSs5bBPdd8M9unrN2Pq9Wgcgce1SzH30qnXnb2TfDS2Xo/GI8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5TFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xKirODKD2xZxOEtOVlBt3ToTvUXLl7NGxbbn1CrFZXa0Vo9tstcZzb0J+YQN0qykh0bpGy6jKGmoUdCQTK+O7t7p9VrU/paIm6wgJvlM69GJEJ+kVcepPq03HR1f1ac8Myh85mPnL2abT7S1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dWCrMaQTqQyMQo12WL2xpf0bGkf05kc8mAaPXiPkaYyUXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5XowcOeuBB149xdmHHuAe1FsQMx/DUCohyLuW6SknjU/VJfjqa0husjuiTgoU0NNjexAULWRVlvyhQOQU0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9KJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+szhzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK9eI/8f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5TI801Lb/c/K9FFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8oime7P9A7MMp9nXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Wrya3260quaz5jm4shZy99A68/ht5HbPIfR6Raswk2aA0zBPlmNcEu01iOM180CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmjc6a2Hq56Hx0qHxMlCHLTprtFo07cYSPRdji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3om0tkRaHVit7mmAu+ZDkP61vrq6v8l390jdIt+mRx4Yxy99WqVD8rlMa3WkxhSQ86favrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+ku9s6Vk561FMPeWTnUfY2PbVP/NGnJEayKjdWkQn1KPWMvvyhGtWKRNx+eIKPPfIZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhTPqXMm+Ha9HroRO/RhQTzrV33QVa9d8wUmCMyST4PcuM3hDucnySwB5tl+znup3iU7yxI9EmSb1UfwywMRz12rnuzi0zYjO2X0FP1Lp9674eMr8kmKPE7zwneh3a1UbaR12uPJ+PVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrz4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUHxknQPFBE+7+6a15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5GRT8HSlfdGg4huQOm+Df7qhdtf8ebkO81nXOaEbUgragvxJ7d/Q4iz2qdfTaoe7SD+EQzmMIupakH9JOWld2pixL7lIPp39KVmCqYlF627P+GFwu8kjWOdUZz5AsmzyaoTLfxak7FsMhZCRFLuF8+FxDGsWJMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j8HtA4nFdTNbvG/jsPwsZzq8wrlltF3zV4GvHXuF+uMLPrD9deM5RYym8s5hvNM89FZb8nPj/2+qNabSp3RvH/66I/aOWB4LRXnQWXpGO/OIitvKBU8F/DJkKr/qH9ckL+N8DqnUSZHHUrmnKKcmukhUzPfuPSNznwWIpOlUyZTkZqNI5p0I3ZXHapb8LObe4B1b4fydyn5L2L935/tQ+sJWQ+TRefMQZvaYsp+2FO0Pj3b+7NlEuNdXr7b24IWPAtvUCve871H/fGub6swtvJvkPBav6tS1S9EJKune3ZddWEExZM3zgGZ7/lGdJees1h882wUcLZo7k+tSrSkT+SbBd1SfNeRskdzdaLP6vHkAG/Yd/L8UKR+TW0dbedxz5U4H5VyPlrhnJF2ihzeOJ9V380q47LrcOnnubOF7pdSnG3P86pzo3ulXPgOejV+UIEfOFI2SfuvKBKequps3ryC5lzL5J6wjpXJRLIeMM7s5O+7OrJdVPBaBIz/Tin6jiPpAcjSpfx3RCdsU6KXaN3sk/R807E6k3q7Qlr9PcrnlzdurP5fBuuV4+3N32/eeLC98flN/d8cfKh+pn6hrsES/636HIgdqWNgcKr+qv6m/r5zvLPc+dPOn7nrBxc05qeq8G/nL/8FdI6new==</latexit> <latexit

    sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">AABB0nictVxbcxPJFW42t4XcIHnMyyReUmyKdYyzVblspWqNbYwXAQbJwO4KKF3GQjDSCI0kA1o/pPKav5DX5Gfkd+QfJE/5CzmX7ukeqWdOj0Post3T6u+c02e6T59zukV3kgyz2dbWPy988K1vf+e73/vw4qXv/+CHP/rx5Ss/eZSl82kvPu6lSTp90u1kcTIcx8ez4SyJn0ymcWfUTeLH3Ve7+PnjRTzNhum4NXs7iZ+OOoPx8GTY68yg6fnlKw/jBKqL+JN4PJumk7d/eH55Y2tzi/5F65UburKh9L+j9Ep0rNqqr1LVU3M1UrEaqxnUE9VRGZSv1Q21pSbQ9lQtoW0KtSF9HqszdQmwc+gVQ48OtL6C3wN4+lq3juEZaWaE7gGXBH6mgIzUVcCk0G8KdeQW0edzooytZbSXRBNlewt/u5rWCFpn6gW0SjjTMxSHY5mpE/U7GsMQxjShFhxdT1OZk1ZQ8sgZ1QwoTKAN6334fAr1HiGNniPCZDR21G2HPv8X9cRWfO7pvnP1b5LyKpRINfXo05xCRy2IfkRvcw6fsTwJcB4AhViPEWunpOsRjX4M/ZfQfg/KGdWMTrpQltR6VoncheJD7orIAyg+5IGIbEDxIRsi8giKD3mkkYidks79+CYUH74pcn4AxYd8ICIfQvEhH4rIR1B8yEci8isoPuRXIvIWFB/yloi8A8WHvCMiW1B8yJaIPIbiQx6LyH0oPuS+Rpav1CmUlOgMhVW5A/UiD7QUCbTsiPLdJOvow94MWNO9Eqy8qvfgrx+7F6DTuAS7HzDvTkqw8sw7ABvpx8q26DbtJj7sbRF7CDPAjz0UsV+olyXYLwJW2qsSrLzWGtDPj5Wt71148mPvith7UPNj5T3qPrT4sfcDdoxJCfZIxD5Qr0uwIVZ/WoKV7X4T7IofK+9TLejvx4ZY03kJVranj8CD8WPl3eoxtPqxj0XsE/WmBPtExH4J1t2P/TJgh31XgjV77CXaQQbkj8SwYquodfJVibUJUOsI/JN8b0nIN+5Cu4QZ5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsT9AoLn9gua+dcpWsIICjVVRe1FvsczMqLnKsQpRW9mlIaHjJvlVsFFvRFRXQ+qK6LeelBvRdTcg5qLqIUHtRBRduW7uHbADLD6x3expCeeAewjl5cIvIId2HVuwxqNYP4cgRf4kFruw98mxd5SqZIMo3ncJzHL8bRgiadQW6oNaLdR4R7F1wmtsBgk4573dYyPT5jbWOo1x1b4LN/JozxjEk5nSPIMcjroLUa0nurRuUMtZ+Tdca0e/na+7k2tHn6fNH5GXjzX6uFnWvrZOWRvaWzrHNgmrKaJ1r6t16XB+RemYeqXaNdFi4tvdaTnDNJ7U5P+oX4zh+d4L7tUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtZxr63XlSGlXXSs5bBPdd8M9unrN2Pq9Wgcgce1SzH30qnXnb2TfDS2Xo/GI8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5TFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xKirODKD2xZxOEtOVlBt3ToTvUXLl7NGxbbn1CrFZXa0Vo9tstcZzb0J+YQN0qykh0bpGy6jKGmoUdCQTK+O7t7p9VrU/paIm6wgJvlM69GJEJ+kVcepPq03HR1f1ac8Myh85mPnL2abT7S1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dWCrMaQTqQyMQo12WL2xpf0bGkf05kc8mAaPXiPkaYyUXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5XowcOeuBB149xdmHHuAe1FsQMx/DUCohyLuW6SknjU/VJfjqa0husjuiTgoU0NNjexAULWRVlvyhQOQU0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9KJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+szhzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK9eI/8f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5TI801Lb/c/K9FFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8oime7P9A7MMp9nXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Wrya3260quaz5jm4shZy99A68/ht5HbPIfR6Raswk2aA0zBPlmNcEu01iOM180CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmjc6a2Hq56Hx0qHxMlCHLTprtFo07cYSPRdji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3om0tkRaHVit7mmAu+ZDkP61vrq6v8l390jdIt+mRx4Yxy99WqVD8rlMa3WkxhSQ86favrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+ku9s6Vk561FMPeWTnUfY2PbVP/NGnJEayKjdWkQn1KPWMvvyhGtWKRNx+eIKPPfIZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhTPqXMm+Ha9HroRO/RhQTzrV33QVa9d8wUmCMyST4PcuM3hDucnySwB5tl+znup3iU7yxI9EmSb1UfwywMRz12rnuzi0zYjO2X0FP1Lp9674eMr8kmKPE7zwneh3a1UbaR12uPJ+PVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrz4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUHxknQPFBE+7+6a15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5GRT8HSlfdGg4huQOm+Df7qhdtf8ebkO81nXOaEbUgragvxJ7d/Q4iz2qdfTaoe7SD+EQzmMIupakH9JOWld2pixL7lIPp39KVmCqYlF627P+GFwu8kjWOdUZz5AsmzyaoTLfxak7FsMhZCRFLuF8+FxDGsWJMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j8HtA4nFdTNbvG/jsPwsZzq8wrlltF3zV4GvHXuF+uMLPrD9deM5RYym8s5hvNM89FZb8nPj/2+qNabSp3RvH/66I/aOWB4LRXnQWXpGO/OIitvKBU8F/DJkKr/qH9ckL+N8DqnUSZHHUrmnKKcmukhUzPfuPSNznwWIpOlUyZTkZqNI5p0I3ZXHapb8LObe4B1b4fydyn5L2L935/tQ+sJWQ+TRefMQZvaYsp+2FO0Pj3b+7NlEuNdXr7b24IWPAtvUCve871H/fGub6swtvJvkPBav6tS1S9EJKune3ZddWEExZM3zgGZ7/lGdJees1h882wUcLZo7k+tSrSkT+SbBd1SfNeRskdzdaLP6vHkAG/Yd/L8UKR+TW0dbedxz5U4H5VyPlrhnJF2ihzeOJ9V380q47LrcOnnubOF7pdSnG3P86pzo3ulXPgOejV+UIEfOFI2SfuvKBKequps3ryC5lzL5J6wjpXJRLIeMM7s5O+7OrJdVPBaBIz/Tin6jiPpAcjSpfx3RCdsU6KXaN3sk/R807E6k3q7Qlr9PcrnlzdurP5fBuuV4+3N32/eeLC98flN/d8cfKh+pn6hrsES/636HIgdqWNgcKr+qv6m/r5zvLPc+dPOn7nrBxc05qeq8G/nL/8FdI6new==</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> Schr¨ odinger’s problem: [1931] Erwin Schrödinger " ↵ ⇡" <latexit sha1_base64="tPJGuvugksii+MqmxGAbxV7kM5s=">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</latexit> <latexit sha1_base64="tPJGuvugksii+MqmxGAbxV7kM5s=">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</latexit> <latexit sha1_base64="tPJGuvugksii+MqmxGAbxV7kM5s=">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</latexit> <latexit sha1_base64="tPJGuvugksii+MqmxGAbxV7kM5s=">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</latexit> <latexit sha1_base64="tPJGuvugksii+MqmxGAbxV7kM5s=">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</latexit> Wp ",p (↵, ) def. = min ⇡1=↵,⇡2= Z X2 dp(x, y)d⇡(x, y) + "KL(⇡|↵ ⌦ ) <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> KL(⇡|↵ ⌦ ) def. = Z X2 log ✓ d⇡ d↵d (x, y) ◆ d⇡(x, y) <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> ⇡ = P i,j Pi,j xi,yj <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit>
  7. Probabilistic Interpretation Christian Léonard Erwin Schrödinger min (X,Y ) {E(c(X,

    Y )) + "I(X, Y ) ; X ⇠ ↵, Y ⇠ } <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> Mutual information <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">AABB53ictVxLcxy3EYachy3lJSfHXCah5ZJTCk0xrnJSrlSZIimKFiVR2qUkWyup9jFcrTS7s5rZpR5r/oMcckrlmr+Qa1KV35F/kJzyF9IPYIDZxUxjGEUokhgsvu5GD9DobmDVmyajfLax8c9z733nu9/7/vsfnL/wgx/+6Mc/ufjhT+/n6Tzrx0f9NEmzh71uHiejSXw0G82S+OE0i7vjXhI/6L3Yxs8fnMRZPkon7dmbafx43B1ORsejfncGTU8vftwhGo+yYe/xYuPK+udXNk6jW/PZvJtEo8lxmo11x7WN9Q36F61WrurKmtL/DtMPoyPVUQOVqr6aq7GK1UTNoJ6orsqhPFJX1YaaQttjtYC2DGoj+jxWp+oCYOfQK4YeXWh9Ab+H8PRIt07gGWnmhO4DlwR+MkBG6hJgUuiXQR25RfT5nChjaxXtBdFE2d7A356mNYbWmXoGrRLO9AzF4Vhm6lj9lsYwgjFNqQVH19dU5qQVlDxyRjUDClNow/oAPs+g3iek0XNEmJzGjrrt0uf/op7Yis993Xeu/k1SXoISqZYefVpQ6KoToh/R25zDZyxPApyHQCHWY8TaK9L1mEY/gf4LaL8N5ZRqRic9KAtqPa1FbkPxIbdF5B4UH3JPRB5A8SEPROQhFB/yUCMRm5HO/fgWFB++JXK+C8WHvCsi70HxIe+JyPtQfMj7IvIbKD7kNyLyOhQf8rqIvAnFh7wpIttQfMi2iDyC4kMeichdKD7krkZWr9QMSkp0RsKq3IJ6mQdaigRatkT5rpF19GGvBazpfgVWXtU78NeP3QnQaVyB3Q2Yd8cVWHnm7YGN9GNlW3SDdhMf9oaI3YcZ4Mfui9iv1PMK7FcBK+1FBVZeawfQz4+Vre8tePJjb4nY21DzY+U96g60+LF3AnaMaQX2UMTeVS8rsCFWP6vAyna/BXbFj5X3qTb092NDrOm8Aivb0/vgwfix8m71AFr92Aci9qF6XYF9KGK/Buvux34dsMO+rcCaPfYC7SBD8kdiWLF11LrFqsTaFKh1Bf5Jsbck5Bv3oF3CDAvMkDBjEbFXIPYCEQcF4iBYrrywozn5uzKXVoFoBSJ6xd6EtZnYf1D0x1oSgNgpEDtLiDqPFN+1GcsJeRemRULOip0LayFjSgv7jbVYz4d6y2sQd0oIntvPaOZfoWgJIyjUVB21Z8Uez8iInusQryh6M6M0PGTcrLAKLuq1iOp5UD0R9caDeiOi5h7UXESdeFAnIsqufBfXCZgBVv/4Lhb0xDOAfeTqEoFXsAW7zg1YoxHMn0PwAu9Ryx3426LYWyp1kmE0j/skZjkelyxxBrWFWoN2GxXuUHyd0AqLQTLueUfH+PiEuY2FXnNshU+LnTwqMibhdEYkz7Cgg95iROupGZ2b1HJK3h3XmuFvFOve1Jrhd0njp+TFc60Zfqaln51B9rbGts+AbcFqmmrt23pTGpx/YRqmfoF2XbS4+FbHes4gvdcN6e/rN7N/hveyTTXWj603o5E748tL42tCw+o5d/TcjAp6T+z1mlrUeCQTHffaelMZUtpFJ1oO+9T0zWCfgX4zpt6MxiF4XNsUcy+cetPZOy1GY+vNaNxXnPc8JU/e1JvRGNIz68PWm9HAbEtXx/m23tSyowY4drb1plZ9QllgzAHxnOcW6xVl5CfNNbUR+Qf12RrX51/dxzBn86SIEeopWd+2mk6v2MvqJTL+QgxWbdZQDvQv5o4PVqaxUJtifMUyzEr7+yodu8ej5g9AixGsfj4DkHLmCUhochJovROgeFWMusojM7hNEYez5HgJ1dGtM9FbtHw5a1Rue0qtUlxmR2v12CF7ndPcm5JPeECalfRwUPmGqyhKGjooaUim10R3b/V6LWt/Q8RNlxDTYqb16USIT9Lq41Sf1luOji/pU54ZFD7zsfMXs83H2tpgzJOSLUJZ6ni6/UweyW3DffWKsjlu/iyiN4r26oSsxohOpHIxCjXZYvbGF/RsaR/RmRzyYBp9eI+RpjJVfGqGWXTMp0dkUV17K/FGfZkMHddzsrrGHtejhw566EE3j3G2Yce4DbU2xAxH8NQOiHIuFLpKSeOZ+nVxOprSG6yP6JOShTQ02N7EJQtZF2U/K1F5BWicDRylh9NYpmPwnRVKctTvk8fGrmXLf4lObs35dpfmePVsrs7EDIjrJnGNaNXwqS4/LXNgCRbeTzbJf60fJfJrwhFtqMT1icOZ9TKhE/+YItgpecYJrTZpdZR7u/mp5U8Mp0Nlzs7xNDslCxmR/Ytgf0ppTkb0494dMCfobBESspEhdmdUeDc+X2ckzjHrx40U32qw8y0mWzYn/oauu7pymoscMfA+cLo0t41ODsgXjIlrpq27Xdv1uw8i7T0Jd5YwRTtXLhP/T+i3+THzZG1lRqCG8Q3k2tb53kdKMQvqqEu7fL0NMn1dKT8qZHiipbb7n5Xpo5JkOxRxoTy4Ww+Ac5+emRfOkozkzlf68D5al81FytMlPeJojymKZ7s/1Dswyn2Fdsk1WnMdmiVDmAWzIoowfaUs8jLfel5l6mG08/8LdavrstaQYqRsBpc1JOX3Y4rWXCkTmNU8f1/QavJrPVvqVc9nQnNx7Kzlb6H1F/DbyG2ew+j0SlbhGs0BpmCfrEa4JVrpEcbrWomXmZmGln22/OycNL3clrPE12zdbIx90pjKIc2a1zprYepnofHcofE8UIdtOmu0WjTtxhI9FWOLtj6tDOXXhFu7AeW5SFn2yAxqFCClG0uFUR2IVOUY36DeirQ2RFpdWK3uaYC75kOQ/rW+vLq/LXb3SF0n36ZPHhjHLwNapSPyuUxrfaTGFJDzZ9q+uqu/Qy3IvUcWFCnzPU5cMXzq1KdyWkj6sd7ZUrLz1iKYe0uvdB9jYztU/80KckxrIqd1aRCfUY9Yy+/KES1ZpHXH54go898ln4r9jvqY2e1t30lU8idsvMmryvLiSGFC+pcyb/sr0eu+E79GFBPOtXfdA1rN3zBSYIzJJPg9y5zeEO5yfJLAHm2P7OeqneJTvIkj0TpJvVC/D7AxHPXaue7OLTNiM7ZfQU/Uun3rvh4yvySYo8TvLCd6XdrVxtpHXSw9n41WV+9y5ec6PcyX+Fp9zKmPG1nYKK+M6agvgrmwRM24MCaES7NRNJG/meRNZObTqVDKprehXM40sI15RvGSdA8UET7v7rLXm/tEGEdvhV6PsC41bpEoYTYu1fkB19JiVur8yj7Eredrd6PE2YmqdgpD3d0trP1mCxmT9UuUlLPh3q7snVKUImdhmEJf8Y3eqvjQpfkFFPwdKV90aDiG5A5b4N9uqW21+w5uQ7zUdc5oRtSCtmCwFHt39TjLPep19NKh7tIP4RDOYwS6lqQf0U7aVHamLEvuUg+n/4qsQKZiUXrbs/kYXC7ySFY5NRnPiCybPJqRMt/FaToWwyFkJGUu4Xz4XEMaxbEy32lqNgZDXR5BmUMTHuYeQ9g7t72b83I51etrlUsoD94FzImLweHJX3WsYvuFWKjMeSPvngNah+Ma6ma3+F/HYfhYTs15hXLL6btmzwPeOveLdUYW/eHma8ZyC5nN1RzDeabF6Ky35OfHfl/U6E2lzmjePX30R+0cMLwWivOgsnSMd2eRlTeUCp4L+GRI1X/UP87J30Z4WdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRLboRu6321XX42S48wKa3Q/m7lPwXsf7vzw6g9Zish8mic+agQ20xZT/sKdqAnu392SqJ8S4v3+1tQwuehR9QK97zvU398a5vuzS26m+Q8Fq/pVI1KEUky6d7dl31YATlkzfOAZnv+UZ0l56zWHzzbBxwtmjuTy1LtKBP5JsFvUp8z5GyT3N1qs/q8eQAb9h3i/xQpD6ltq6287jnSpwPKzkfLnHOSTtlDq+dz+rvZlVx2Xa4DIrc2Ynul1Kcbc/z6nOjO5Vc+A56PX5Ygx86UrZI+y8oEs5UfTZvXkNzrmVyT1gnymQiWQ8YZ3aL910f2Z7U8DoJGP/NSvRNR9I9kKVH+e+ITtgyopdo3eyS9HzTsT6TeqNGWv09yqcX164u/18Gq5WjzfXfrV+9u7n25TX93xx8oH6ufqkuwxL/XH0JxA7VETD4g/qr+pv6+9bzrT9u/Wnrz9z1vXMa8zNV+rf1l/8CoZGveg==</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> Relative-entropy: <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> Schr¨ odinger’s problem: [1931] Wp ",p (↵, ) def. = min ⇡1=↵,⇡2= Z X2 dp(x, y)d⇡(x, y) + "KL(⇡|↵ ⌦ ) <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> KL(⇡|↵ ⌦ ) def. = Z X2 log ✓ d⇡ d↵d (x, y) ◆ d⇡(x, y) <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit> <latexit sha1_base64="pOUlfLhd2wuiDjFa6QDYJOKsVzE=">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</latexit>
  8. 7.6. Dynamic Formulation over the Paths Space 111 Á =

    0 Á = .05 Á = 0.2 Á = 1 Probabilistic Interpretation Christian Léonard Erwin Schrödinger min (X,Y ) {E(c(X, Y )) + "I(X, Y ) ; X ⇠ ↵, Y ⇠ } <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> <latexit sha1_base64="uua73HSTlgNcDKopCGGMZIfysco=">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</latexit> Mutual information <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">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</latexit> <latexit sha1_base64="pquXCVQMlvRuunFoEk+WoSUBkgs=">AABB53ictVxLcxy3EYachy3lJSfHXCah5ZJTCk0xrnJSrlSZIimKFiVR2qUkWyup9jFcrTS7s5rZpR5r/oMcckrlmr+Qa1KV35F/kJzyF9IPYIDZxUxjGEUokhgsvu5GD9DobmDVmyajfLax8c9z733nu9/7/vsfnL/wgx/+6Mc/ufjhT+/n6Tzrx0f9NEmzh71uHiejSXw0G82S+OE0i7vjXhI/6L3Yxs8fnMRZPkon7dmbafx43B1ORsejfncGTU8vftwhGo+yYe/xYuPK+udXNk6jW/PZvJtEo8lxmo11x7WN9Q36F61WrurKmtL/DtMPoyPVUQOVqr6aq7GK1UTNoJ6orsqhPFJX1YaaQttjtYC2DGoj+jxWp+oCYOfQK4YeXWh9Ab+H8PRIt07gGWnmhO4DlwR+MkBG6hJgUuiXQR25RfT5nChjaxXtBdFE2d7A356mNYbWmXoGrRLO9AzF4Vhm6lj9lsYwgjFNqQVH19dU5qQVlDxyRjUDClNow/oAPs+g3iek0XNEmJzGjrrt0uf/op7Yis993Xeu/k1SXoISqZYefVpQ6KoToh/R25zDZyxPApyHQCHWY8TaK9L1mEY/gf4LaL8N5ZRqRic9KAtqPa1FbkPxIbdF5B4UH3JPRB5A8SEPROQhFB/yUCMRm5HO/fgWFB++JXK+C8WHvCsi70HxIe+JyPtQfMj7IvIbKD7kNyLyOhQf8rqIvAnFh7wpIttQfMi2iDyC4kMeichdKD7krkZWr9QMSkp0RsKq3IJ6mQdaigRatkT5rpF19GGvBazpfgVWXtU78NeP3QnQaVyB3Q2Yd8cVWHnm7YGN9GNlW3SDdhMf9oaI3YcZ4Mfui9iv1PMK7FcBK+1FBVZeawfQz4+Vre8tePJjb4nY21DzY+U96g60+LF3AnaMaQX2UMTeVS8rsCFWP6vAyna/BXbFj5X3qTb092NDrOm8Aivb0/vgwfix8m71AFr92Aci9qF6XYF9KGK/Buvux34dsMO+rcCaPfYC7SBD8kdiWLF11LrFqsTaFKh1Bf5Jsbck5Bv3oF3CDAvMkDBjEbFXIPYCEQcF4iBYrrywozn5uzKXVoFoBSJ6xd6EtZnYf1D0x1oSgNgpEDtLiDqPFN+1GcsJeRemRULOip0LayFjSgv7jbVYz4d6y2sQd0oIntvPaOZfoWgJIyjUVB21Z8Uez8iInusQryh6M6M0PGTcrLAKLuq1iOp5UD0R9caDeiOi5h7UXESdeFAnIsqufBfXCZgBVv/4Lhb0xDOAfeTqEoFXsAW7zg1YoxHMn0PwAu9Ryx3426LYWyp1kmE0j/skZjkelyxxBrWFWoN2GxXuUHyd0AqLQTLueUfH+PiEuY2FXnNshU+LnTwqMibhdEYkz7Cgg95iROupGZ2b1HJK3h3XmuFvFOve1Jrhd0njp+TFc60Zfqaln51B9rbGts+AbcFqmmrt23pTGpx/YRqmfoF2XbS4+FbHes4gvdcN6e/rN7N/hveyTTXWj603o5E748tL42tCw+o5d/TcjAp6T+z1mlrUeCQTHffaelMZUtpFJ1oO+9T0zWCfgX4zpt6MxiF4XNsUcy+cetPZOy1GY+vNaNxXnPc8JU/e1JvRGNIz68PWm9HAbEtXx/m23tSyowY4drb1plZ9QllgzAHxnOcW6xVl5CfNNbUR+Qf12RrX51/dxzBn86SIEeopWd+2mk6v2MvqJTL+QgxWbdZQDvQv5o4PVqaxUJtifMUyzEr7+yodu8ej5g9AixGsfj4DkHLmCUhochJovROgeFWMusojM7hNEYez5HgJ1dGtM9FbtHw5a1Rue0qtUlxmR2v12CF7ndPcm5JPeECalfRwUPmGqyhKGjooaUim10R3b/V6LWt/Q8RNlxDTYqb16USIT9Lq41Sf1luOji/pU54ZFD7zsfMXs83H2tpgzJOSLUJZ6ni6/UweyW3DffWKsjlu/iyiN4r26oSsxohOpHIxCjXZYvbGF/RsaR/RmRzyYBp9eI+RpjJVfGqGWXTMp0dkUV17K/FGfZkMHddzsrrGHtejhw566EE3j3G2Yce4DbU2xAxH8NQOiHIuFLpKSeOZ+nVxOprSG6yP6JOShTQ02N7EJQtZF2U/K1F5BWicDRylh9NYpmPwnRVKctTvk8fGrmXLf4lObs35dpfmePVsrs7EDIjrJnGNaNXwqS4/LXNgCRbeTzbJf60fJfJrwhFtqMT1icOZ9TKhE/+YItgpecYJrTZpdZR7u/mp5U8Mp0Nlzs7xNDslCxmR/Ytgf0ppTkb0494dMCfobBESspEhdmdUeDc+X2ckzjHrx40U32qw8y0mWzYn/oauu7pymoscMfA+cLo0t41ODsgXjIlrpq27Xdv1uw8i7T0Jd5YwRTtXLhP/T+i3+THzZG1lRqCG8Q3k2tb53kdKMQvqqEu7fL0NMn1dKT8qZHiipbb7n5Xpo5JkOxRxoTy4Ww+Ac5+emRfOkozkzlf68D5al81FytMlPeJojymKZ7s/1Dswyn2Fdsk1WnMdmiVDmAWzIoowfaUs8jLfel5l6mG08/8LdavrstaQYqRsBpc1JOX3Y4rWXCkTmNU8f1/QavJrPVvqVc9nQnNx7Kzlb6H1F/DbyG2ew+j0SlbhGs0BpmCfrEa4JVrpEcbrWomXmZmGln22/OycNL3clrPE12zdbIx90pjKIc2a1zprYepnofHcofE8UIdtOmu0WjTtxhI9FWOLtj6tDOXXhFu7AeW5SFn2yAxqFCClG0uFUR2IVOUY36DeirQ2RFpdWK3uaYC75kOQ/rW+vLq/LXb3SF0n36ZPHhjHLwNapSPyuUxrfaTGFJDzZ9q+uqu/Qy3IvUcWFCnzPU5cMXzq1KdyWkj6sd7ZUrLz1iKYe0uvdB9jYztU/80KckxrIqd1aRCfUY9Yy+/KES1ZpHXH54go898ln4r9jvqY2e1t30lU8idsvMmryvLiSGFC+pcyb/sr0eu+E79GFBPOtXfdA1rN3zBSYIzJJPg9y5zeEO5yfJLAHm2P7OeqneJTvIkj0TpJvVC/D7AxHPXaue7OLTNiM7ZfQU/Uun3rvh4yvySYo8TvLCd6XdrVxtpHXSw9n41WV+9y5ec6PcyX+Fp9zKmPG1nYKK+M6agvgrmwRM24MCaES7NRNJG/meRNZObTqVDKprehXM40sI15RvGSdA8UET7v7rLXm/tEGEdvhV6PsC41bpEoYTYu1fkB19JiVur8yj7Eredrd6PE2YmqdgpD3d0trP1mCxmT9UuUlLPh3q7snVKUImdhmEJf8Y3eqvjQpfkFFPwdKV90aDiG5A5b4N9uqW21+w5uQ7zUdc5oRtSCtmCwFHt39TjLPep19NKh7tIP4RDOYwS6lqQf0U7aVHamLEvuUg+n/4qsQKZiUXrbs/kYXC7ySFY5NRnPiCybPJqRMt/FaToWwyFkJGUu4Xz4XEMaxbEy32lqNgZDXR5BmUMTHuYeQ9g7t72b83I51etrlUsoD94FzImLweHJX3WsYvuFWKjMeSPvngNah+Ma6ma3+F/HYfhYTs15hXLL6btmzwPeOveLdUYW/eHma8ZyC5nN1RzDeabF6Ky35OfHfl/U6E2lzmjePX30R+0cMLwWivOgsnSMd2eRlTeUCp4L+GRI1X/UP87J30Z4WdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRLboRu6321XX42S48wKa3Q/m7lPwXsf7vzw6g9Zish8mic+agQ20xZT/sKdqAnu392SqJ8S4v3+1tQwuehR9QK97zvU398a5vuzS26m+Q8Fq/pVI1KEUky6d7dl31YATlkzfOAZnv+UZ0l56zWHzzbBxwtmjuTy1LtKBP5JsFvUp8z5GyT3N1qs/q8eQAb9h3i/xQpD6ltq6287jnSpwPKzkfLnHOSTtlDq+dz+rvZlVx2Xa4DIrc2Ynul1Kcbc/z6nOjO5Vc+A56PX5Ygx86UrZI+y8oEs5UfTZvXkNzrmVyT1gnymQiWQ8YZ3aL910f2Z7U8DoJGP/NSvRNR9I9kKVH+e+ITtgyopdo3eyS9HzTsT6TeqNGWv09yqcX164u/18Gq5WjzfXfrV+9u7n25TX93xx8oH6ufqkuwxL/XH0JxA7VETD4g/qr+pv6+9bzrT9u/Wnrz9z1vXMa8zNV+rf1l/8CoZGveg==</latexit> Relative-entropy: <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">AABB0nictVxbcxPJFW42t4XcIHnMyyReUmyKdYyzVblspWqNbYwXAQbJwO4KKF3GQjDSCI0kA1o/pPKav5DX5Gfkd+QfJE/5CzmX7ukeqWdOj0Post3T6u+c02e6T59zukV3kgyz2dbWPy988K1vf+e73/vw4qXv/+CHP/rx5Ss/eZSl82kvPu6lSTp90u1kcTIcx8ez4SyJn0ymcWfUTeLH3Ve7+PnjRTzNhum4NXs7iZ+OOoPx8GTY68yg6fnlKw/jBKqL+JN4PJumk7d/eH55Y2tzi/5F65UburKh9L+j9Ep0rNqqr1LVU3M1UrEaqxnUE9VRGZSv1Q21pSbQ9lQtoW0KtSF9HqszdQmwc+gVQ48OtL6C3wN4+lq3juEZaWaE7gGXBH6mgIzUVcCk0G8KdeQW0edzooytZbSXRBNlewt/u5rWCFpn6gW0SjjTMxSHY5mpE/U7GsMQxjShFhxdT1OZk1ZQ8sgZ1QwoTKAN6334fAr1HiGNniPCZDR21G2HPv8X9cRWfO7pvnP1b5LyKpRINfXo05xCRy2IfkRvcw6fsTwJcB4AhViPEWunpOsRjX4M/ZfQfg/KGdWMTrpQltR6VoncheJD7orIAyg+5IGIbEDxIRsi8giKD3mkkYidks79+CYUH74pcn4AxYd8ICIfQvEhH4rIR1B8yEci8isoPuRXIvIWFB/yloi8A8WHvCMiW1B8yJaIPIbiQx6LyH0oPuS+Rpav1CmUlOgMhVW5A/UiD7QUCbTsiPLdJOvow94MWNO9Eqy8qvfgrx+7F6DTuAS7HzDvTkqw8sw7ABvpx8q26DbtJj7sbRF7CDPAjz0UsV+olyXYLwJW2qsSrLzWGtDPj5Wt71148mPvith7UPNj5T3qPrT4sfcDdoxJCfZIxD5Qr0uwIVZ/WoKV7X4T7IofK+9TLejvx4ZY03kJVranj8CD8WPl3eoxtPqxj0XsE/WmBPtExH4J1t2P/TJgh31XgjV77CXaQQbkj8SwYquodfJVibUJUOsI/JN8b0nIN+5Cu4QZ5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsT9AoLn9gua+dcpWsIICjVVRe1FvsczMqLnKsQpRW9mlIaHjJvlVsFFvRFRXQ+qK6LeelBvRdTcg5qLqIUHtRBRduW7uHbADLD6x3expCeeAewjl5cIvIId2HVuwxqNYP4cgRf4kFruw98mxd5SqZIMo3ncJzHL8bRgiadQW6oNaLdR4R7F1wmtsBgk4573dYyPT5jbWOo1x1b4LN/JozxjEk5nSPIMcjroLUa0nurRuUMtZ+Tdca0e/na+7k2tHn6fNH5GXjzX6uFnWvrZOWRvaWzrHNgmrKaJ1r6t16XB+RemYeqXaNdFi4tvdaTnDNJ7U5P+oX4zh+d4L7tUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtZxr63XlSGlXXSs5bBPdd8M9unrN2Pq9Wgcgce1SzH30qnXnb2TfDS2Xo/GI8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5TFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xKirODKD2xZxOEtOVlBt3ToTvUXLl7NGxbbn1CrFZXa0Vo9tstcZzb0J+YQN0qykh0bpGy6jKGmoUdCQTK+O7t7p9VrU/paIm6wgJvlM69GJEJ+kVcepPq03HR1f1ac8Myh85mPnL2abT7S1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dWCrMaQTqQyMQo12WL2xpf0bGkf05kc8mAaPXiPkaYyUXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5XowcOeuBB149xdmHHuAe1FsQMx/DUCohyLuW6SknjU/VJfjqa0husjuiTgoU0NNjexAULWRVlvyhQOQU0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9KJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+szhzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK9eI/8f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5TI801Lb/c/K9FFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8oime7P9A7MMp9nXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Wrya3260quaz5jm4shZy99A68/ht5HbPIfR6Raswk2aA0zBPlmNcEu01iOM180CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmjc6a2Hq56Hx0qHxMlCHLTprtFo07cYSPRdji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3om0tkRaHVit7mmAu+ZDkP61vrq6v8l390jdIt+mRx4Yxy99WqVD8rlMa3WkxhSQ86favrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+ku9s6Vk561FMPeWTnUfY2PbVP/NGnJEayKjdWkQn1KPWMvvyhGtWKRNx+eIKPPfIZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhTPqXMm+Ha9HroRO/RhQTzrV33QVa9d8wUmCMyST4PcuM3hDucnySwB5tl+znup3iU7yxI9EmSb1UfwywMRz12rnuzi0zYjO2X0FP1Lp9674eMr8kmKPE7zwneh3a1UbaR12uPJ+PVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrz4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUHxknQPFBE+7+6a15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5GRT8HSlfdGg4huQOm+Df7qhdtf8ebkO81nXOaEbUgragvxJ7d/Q4iz2qdfTaoe7SD+EQzmMIupakH9JOWld2pixL7lIPp39KVmCqYlF627P+GFwu8kjWOdUZz5AsmzyaoTLfxak7FsMhZCRFLuF8+FxDGsWJMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j8HtA4nFdTNbvG/jsPwsZzq8wrlltF3zV4GvHXuF+uMLPrD9deM5RYym8s5hvNM89FZb8nPj/2+qNabSp3RvH/66I/aOWB4LRXnQWXpGO/OIitvKBU8F/DJkKr/qH9ckL+N8DqnUSZHHUrmnKKcmukhUzPfuPSNznwWIpOlUyZTkZqNI5p0I3ZXHapb8LObe4B1b4fydyn5L2L935/tQ+sJWQ+TRefMQZvaYsp+2FO0Pj3b+7NlEuNdXr7b24IWPAtvUCve871H/fGub6swtvJvkPBav6tS1S9EJKune3ZddWEExZM3zgGZ7/lGdJees1h882wUcLZo7k+tSrSkT+SbBd1SfNeRskdzdaLP6vHkAG/Yd/L8UKR+TW0dbedxz5U4H5VyPlrhnJF2ihzeOJ9V380q47LrcOnnubOF7pdSnG3P86pzo3ulXPgOejV+UIEfOFI2SfuvKBKequps3ryC5lzL5J6wjpXJRLIeMM7s5O+7OrJdVPBaBIz/Tin6jiPpAcjSpfx3RCdsU6KXaN3sk/R807E6k3q7Qlr9PcrnlzdurP5fBuuV4+3N32/eeLC98flN/d8cfKh+pn6hrsES/636HIgdqWNgcKr+qv6m/r5zvLPc+dPOn7nrBxc05qeq8G/nL/8FdI6new==</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">AABB0nictVxbcxPJFW42t4XcIHnMyyReUmyKdYyzVblspWqNbYwXAQbJwO4KKF3GQjDSCI0kA1o/pPKav5DX5Gfkd+QfJE/5CzmX7ukeqWdOj0Post3T6u+c02e6T59zukV3kgyz2dbWPy988K1vf+e73/vw4qXv/+CHP/rx5Ss/eZSl82kvPu6lSTp90u1kcTIcx8ez4SyJn0ymcWfUTeLH3Ve7+PnjRTzNhum4NXs7iZ+OOoPx8GTY68yg6fnlKw/jBKqL+JN4PJumk7d/eH55Y2tzi/5F65UburKh9L+j9Ep0rNqqr1LVU3M1UrEaqxnUE9VRGZSv1Q21pSbQ9lQtoW0KtSF9HqszdQmwc+gVQ48OtL6C3wN4+lq3juEZaWaE7gGXBH6mgIzUVcCk0G8KdeQW0edzooytZbSXRBNlewt/u5rWCFpn6gW0SjjTMxSHY5mpE/U7GsMQxjShFhxdT1OZk1ZQ8sgZ1QwoTKAN6334fAr1HiGNniPCZDR21G2HPv8X9cRWfO7pvnP1b5LyKpRINfXo05xCRy2IfkRvcw6fsTwJcB4AhViPEWunpOsRjX4M/ZfQfg/KGdWMTrpQltR6VoncheJD7orIAyg+5IGIbEDxIRsi8giKD3mkkYidks79+CYUH74pcn4AxYd8ICIfQvEhH4rIR1B8yEci8isoPuRXIvIWFB/yloi8A8WHvCMiW1B8yJaIPIbiQx6LyH0oPuS+Rpav1CmUlOgMhVW5A/UiD7QUCbTsiPLdJOvow94MWNO9Eqy8qvfgrx+7F6DTuAS7HzDvTkqw8sw7ABvpx8q26DbtJj7sbRF7CDPAjz0UsV+olyXYLwJW2qsSrLzWGtDPj5Wt71148mPvith7UPNj5T3qPrT4sfcDdoxJCfZIxD5Qr0uwIVZ/WoKV7X4T7IofK+9TLejvx4ZY03kJVranj8CD8WPl3eoxtPqxj0XsE/WmBPtExH4J1t2P/TJgh31XgjV77CXaQQbkj8SwYquodfJVibUJUOsI/JN8b0nIN+5Cu4QZ5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsT9AoLn9gua+dcpWsIICjVVRe1FvsczMqLnKsQpRW9mlIaHjJvlVsFFvRFRXQ+qK6LeelBvRdTcg5qLqIUHtRBRduW7uHbADLD6x3expCeeAewjl5cIvIId2HVuwxqNYP4cgRf4kFruw98mxd5SqZIMo3ncJzHL8bRgiadQW6oNaLdR4R7F1wmtsBgk4573dYyPT5jbWOo1x1b4LN/JozxjEk5nSPIMcjroLUa0nurRuUMtZ+Tdca0e/na+7k2tHn6fNH5GXjzX6uFnWvrZOWRvaWzrHNgmrKaJ1r6t16XB+RemYeqXaNdFi4tvdaTnDNJ7U5P+oX4zh+d4L7tUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtZxr63XlSGlXXSs5bBPdd8M9unrN2Pq9Wgcgce1SzH30qnXnb2TfDS2Xo/GI8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5TFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xKirODKD2xZxOEtOVlBt3ToTvUXLl7NGxbbn1CrFZXa0Vo9tstcZzb0J+YQN0qykh0bpGy6jKGmoUdCQTK+O7t7p9VrU/paIm6wgJvlM69GJEJ+kVcepPq03HR1f1ac8Myh85mPnL2abT7S1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dWCrMaQTqQyMQo12WL2xpf0bGkf05kc8mAaPXiPkaYyUXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5XowcOeuBB149xdmHHuAe1FsQMx/DUCohyLuW6SknjU/VJfjqa0husjuiTgoU0NNjexAULWRVlvyhQOQU0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9KJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+szhzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK9eI/8f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5TI801Lb/c/K9FFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8oime7P9A7MMp9nXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Wrya3260quaz5jm4shZy99A68/ht5HbPIfR6Raswk2aA0zBPlmNcEu01iOM180CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmjc6a2Hq56Hx0qHxMlCHLTprtFo07cYSPRdji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3om0tkRaHVit7mmAu+ZDkP61vrq6v8l390jdIt+mRx4Yxy99WqVD8rlMa3WkxhSQ86favrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+ku9s6Vk561FMPeWTnUfY2PbVP/NGnJEayKjdWkQn1KPWMvvyhGtWKRNx+eIKPPfIZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhTPqXMm+Ha9HroRO/RhQTzrV33QVa9d8wUmCMyST4PcuM3hDucnySwB5tl+znup3iU7yxI9EmSb1UfwywMRz12rnuzi0zYjO2X0FP1Lp9674eMr8kmKPE7zwneh3a1UbaR12uPJ+PVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrz4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUHxknQPFBE+7+6a15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5GRT8HSlfdGg4huQOm+Df7qhdtf8ebkO81nXOaEbUgragvxJ7d/Q4iz2qdfTaoe7SD+EQzmMIupakH9JOWld2pixL7lIPp39KVmCqYlF627P+GFwu8kjWOdUZz5AsmzyaoTLfxak7FsMhZCRFLuF8+FxDGsWJMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j8HtA4nFdTNbvG/jsPwsZzq8wrlltF3zV4GvHXuF+uMLPrD9deM5RYym8s5hvNM89FZb8nPj/2+qNabSp3RvH/66I/aOWB4LRXnQWXpGO/OIitvKBU8F/DJkKr/qH9ckL+N8DqnUSZHHUrmnKKcmukhUzPfuPSNznwWIpOlUyZTkZqNI5p0I3ZXHapb8LObe4B1b4fydyn5L2L935/tQ+sJWQ+TRefMQZvaYsp+2FO0Pj3b+7NlEuNdXr7b24IWPAtvUCve871H/fGub6swtvJvkPBav6tS1S9EJKune3ZddWEExZM3zgGZ7/lGdJees1h882wUcLZo7k+tSrSkT+SbBd1SfNeRskdzdaLP6vHkAG/Yd/L8UKR+TW0dbedxz5U4H5VyPlrhnJF2ihzeOJ9V380q47LrcOnnubOF7pdSnG3P86pzo3ulXPgOejV+UIEfOFI2SfuvKBKequps3ryC5lzL5J6wjpXJRLIeMM7s5O+7OrJdVPBaBIz/Tin6jiPpAcjSpfx3RCdsU6KXaN3sk/R807E6k3q7Qlr9PcrnlzdurP5fBuuV4+3N32/eeLC98flN/d8cfKh+pn6hrsES/636HIgdqWNgcKr+qv6m/r5zvLPc+dPOn7nrBxc05qeq8G/nL/8FdI6new==</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> <latexit sha1_base64="1Ecr7XBZCK0ooJx2WSYSxRXyWmM=">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</latexit> Schr¨ odinger’s problem: [1931] Wp ",p (↵, ) def. = min ⇡1=↵,⇡2= Z X2 dp(x, y)d⇡(x, y) + "KL(⇡|↵ ⌦ ) <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit> <latexit sha1_base64="9fViwbMwb16e+5fGKDRerpzqm1o=">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</latexit>
  9. The Curse of Dimensionality <latexit sha1_base64="AAQHEaTZCo4XtKgRATbvN+r5c2g=">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</latexit> Theorem: <latexit sha1_base64="bQXa5RnTf3JiNE3Mcsaob7eZqxY=">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</latexit> requires

    n ⇠ (1/ )dimension <latexit sha1_base64="usmTbbqe/IeqTnEhwJBy4zEOnMU=">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</latexit> [Dudley 1968] <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="kAppDnYCtZIqp/kHZtYnyPO+LpM=">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</latexit> n = 1 n P i xi <latexit sha1_base64="8rJS+aIgevIFAyo1RoikENYqprs=">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</latexit> 8 <latexit sha1_base64="qIMVGIw1nrs/iQEzu5dZKAhRR4M=">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</latexit> 23 <latexit sha1_base64="PHdHdo8XGeIr6zZ1ehfD3lTUFPQ=">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</latexit> E|Wp(↵, n) Wp(↵, 1)| 6 Richard Dudley
  10. The Curse of Dimensionality <latexit sha1_base64="AAQHEaTZCo4XtKgRATbvN+r5c2g=">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</latexit> Theorem: <latexit sha1_base64="bQXa5RnTf3JiNE3Mcsaob7eZqxY=">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</latexit> requires

    n ⇠ (1/ )dimension <latexit sha1_base64="usmTbbqe/IeqTnEhwJBy4zEOnMU=">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</latexit> [Dudley 1968] <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="kAppDnYCtZIqp/kHZtYnyPO+LpM=">AAAC/XicjVHLTtwwFD2ktKU8yrRddhMxILEaJQjR2VQa0Q1LKjGANEGR4/GAhfOQ41QdRVH/pDt2Vbf9Abbttuof0L/otQkSMKrAUZJzz73n2Nc3KZQsTRD8mfOezD999nzhxeLS8srL1c6r14dlXmkuhjxXuT5OWCmUzMTQSKPEcaEFSxMljpLzDzZ/9EnoUubZgZkW4iRlp5mcSM4MUXGnvx45kzpRlWiiRBgW11njv/ejiWa8DhuKorJKY+lHY6Fs+nMsm/W40w16gVv+LAhb0EW79vPOb0QYIwdHhRQCGQxhBYaSnhFCBCiIO0FNnCYkXV6gwSJpK6oSVMGIPafvKUWjls0otp6lU3PaRdGrSeljgzQ51WnCdjff5SvnbNn/edfO055tSv+k9UqJNTgj9iHdTeVjdbYXgwn6rgdJPRWOsd3x1qVyt2JP7t/qypBDQZzFY8prwtwpb+7Zd5rS9W7vlrn8lau0rI15W1vhrz0lDTi8P85ZcLjVC3d62x+3uoPddtQLeIs1bNI832GAPexjSN5fcYmf+OV98S68b97361JvrtW8wZ3l/fgHAr+nHQ==</latexit> n = 1 n P i xi <latexit sha1_base64="8rJS+aIgevIFAyo1RoikENYqprs=">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</latexit> 8 <latexit sha1_base64="qIMVGIw1nrs/iQEzu5dZKAhRR4M=">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</latexit> 23 <latexit sha1_base64="PHdHdo8XGeIr6zZ1ehfD3lTUFPQ=">AABE+HictVxfcxPJER9f/hyQf3B5zMteDClI+YjxkT9VV6k6sIzxYcAg2XCHwLUrrYRgrRXSShiEvkveUnm9L5DPkdc8JU/5CunpntmZlWa3Zx3Clu3Z2fl19/TO9HT3zBKNksEk29z8x9onP/jhj3786bnzF37y05/9/BcXL312NEmn40582EmTdPw0CidxMhjGh9kgS+Kno3EcnkRJ/CR6vS2fP5nF48kgHbayd6P4+UnYHw56g06YQdXxxQ+X2zs7H9pZfJrNnyyOR1fnbSQ6H8fdRTtMFhu6Ikqm8aIdxcfDxbUvagHm7cGwl71bLK59CNpJ/CZod+MkCy8HxxfXN69v4r9gtXBDFdaF+neQXvr8e9EWXZGKjpiKExGLocignIhQTOB6Jm6ITTGCuudiDnVjKA3weSwW4gJgp9AqhhYh1L6G3324e6Zqh3AvaU4Q3QEuCfyMARmIK4BJod0YypJbgM+nSFnWltGeI00p2zv4GylaJ1CbiZdQy+F0S1+c7EsmeuJP2IcB9GmENbJ3HUVlilqRkgdWrzKgMII6We7C8zGUO4jUeg4QM8G+S92G+Pxf2FLWyvuOajsV/0Ypr8AViKbqfZpTCMUM6Qf4NqfwjORJgHMfKMSqj7L0FnV9gr0fQvs51D+Aa4ElrZMIrjnWLiqR23C5kNsschcuF3KXRe7D5ULus8gDuFzIA4WU2DHq3I1vwuXCN1nOj+ByIR+xyMdwuZCPWeQRXC7kEYv8Di4X8jsWeQcuF/IOi7wHlwt5j0W24HIhWyzyEC4X8pBF7sDlQu4oZPlMHcOVIp0BMytvQbnIQ1qKBGpusfLdRuvowt72mNOdEiw/qxvw141teOg0LsHueIy7XgmWH3m7YCPdWN4W3cXVxIW9y2L3YAS4sXss9hvxqgT7jcdMe12C5efaPrRzY3nrex/u3Nj7LPYBlNxYfo16CDVu7EOPFWNUgj1gsY/EmxKsj9Ufl2B5u98Eu+LG8utUC9q7sT7WdFqC5e3pEXgwbiy/Wj2BWjf2CYt9Kk5LsE9Z7Ldg3d3Ybz1W2PclWL3GXsAVpI/+SAwztopamM9KWRoBtZDhn+RrS4K+cQT1HKafY/qIOWERuzli1xOxnyP2veWa5HZ0gv4uz6WZI5qeiChfm2QpY9t38/aylHggGjmisYSo8kjlu9Z9maF3oWs4ZJavXLLk06c0t9+yFKvxUG15NeJhAUFj+yWO/A2MlmQEJTVVRe1lvsYTMsD7KsRbjN50LzUPHpflVsFGnbKoyIGKWNQ7B+odi5o6UFMWNXOgZizKzHwb1/YYAUb/8l3M8Y5GAPnI5VcAXsEtWHXuwhwNYPwcgBf4GGsewt8mxt7cVSWZjOblOimzHM8LlngMpblYh3oTFTYwvk5whsUgGbV8qGJ8eSdzG3M158gKL/KVPMgzJv50BihPP6cjvcUA51M9OvewZoHeHZXq4e/m816X6uF3UOML9OKpVA+fKemzM8jeUtjWGbBNmE0jpX1TrkuD8i9EQ5cv4KorLa58qydqzEh6pzXp76k3s3eG97KNJdKPKdejMbH6Nyn0rw4No+eJped6VKT3RF6vLgW1ezJUca8p15UhxVV0qOQwd3XfjGzTVW9Gl+vROACPaxtj7rlVrjt6R3lvTLkejSNBec8FevK6XI9GH+9JH6Zcj4bMtoQqzjflupZdaoBiZ1Oua9WHmAWWOSAa81RjvKIx+klTRW2A/kF1tsb2+VfXMZmzeZHHCNWUjG9bTifK17JqibS/EINVy2rKIf2LqeWDFWnMxRYbX5EMWWF9X6Vj1nip+X3QYgCzn/YAuJx5AhLqnIS03glQvMFGXcWeadwWi5OjpLeEaqvajPUWDV/KGhXrjrGWi8tMb40e22ivJzj2RugT7qNmOT3sl77hMoqchvYLGuLp1dHdezVfi9rfZHGjJcQoH2kd3BGinbTqONWl9aal4ytqlyeDi/Z8zPiV2eaesjYy5knRFklZqnja7XQeya6T6+qGMDluehbgG5X2aoZWY4A7UhM2CtXZYvLG53hvaB/inpzkQTQ68B4DRWUkaNdMZtFlPj1Ai2rbW4631JfO0FF5glZX2+NqdN9C9x3o+jHONqwYD6DUgpjhEO5aHlHOhVxXKWp8LL7Id0dTfIPVEX1SsJCaBtmbuGAhq6LslwUqbwEtRwNF6f40lulofHuFEh/1u+QxsWvR8l/BnVu9vx3iGC8fzeWZmC5y3UKuAc4a2tWlu2UOJMHc+WQL/dfqXkp+dThKG8pxfWFxJr0Mccc/xgh2hJ5xgrONmx3F1nZ+avmJ5nQg9N653M1O0UIGaP8CWJ9SHJMB/thnB/QOOlmEBG2kj90Z5N6Ny9cZsGPM+HEDQacazHiL0ZZNkb+ma8+uCY5FihhoHVgsjW2tk330BWPkOlbW3czt6tVHIs05CXuUEEUzVq4i/2v4W//ocbK+MiKkhuUbmChb53ofKcYsUkchrvLVNki3taW8nMvwQklt1j8j0+WCZA2MuKQ8crXuAucO3hMvOUrGKPdkpQ2to1XZXEl5tKRH2dseRvFk9/tqBZZyb+AquY5zro2jpA+jIMujCN2WyyIv863mVaTuR3vyf6FudF3UmqQYCJPBJQ1x+f0YozVbygRGNY3f1zib3FofL7Wq5jPEsXhizeUPUPs5/NZy63s/OlHBKtzGMUAUzJ3RCNUEKy38eN0u8NIjU9My94afGZO6lV1zlviarJuJsWe1qRzgqDlVWQtdPguNVxaNV546bOFeo9GirteW6JiNLVpqt9KXXx1urRqUpyxl3iPTqIGHlHYs5Ue1y1LlY3yNes/S2mRphTBb7d0Ae877IN1zfXl2f8hX90DcQd+mgx4YxS9dnKUD9Ll0bXWkRhQk55vKvtqzv401knuEFlRSpnOccsbQrlMHr0Uu6W/UypainTcWQZ9beqvaaBvbxvKXK8gTnBMTnJcacRNbxEp+W45gySJdt3yOADP/IfpU5HdUx8x2a/NOgoI/YeJNmlWGF0UKQ9Q/l3nbW4le96z4NcCYcKq86who1X/DkgJhdCbB7VlO8A3JVY52EsijjdB+rtop2sUbWhJdR6nn4s8eNoaiXjPW7bGle6z79ltoKbVu3rqrBc8v8ebI8TvLjl6Iq9qJ8lHnS/dnoxWqVa54X6WH6RJfo48ptrEjCxPlFTFt8ZU3F5KoHhfC+HCp14s68teTvI7MtDvlS1m31pSLmQayMS8xXuLOgUqEy7u76vTmrjH9iFboRYi1qVENR0lm41KVH7AtrcxKnV9Zh6j2fOVqlFgrUdlKoanbq4Wx32QhY7R+ieByNtTalr1diFL4LAxR6Ag60VsWH9o0v4JL/g6EKzrUHH1yh03wb2+JbbHzEU5DvFFlymgGWCNtQXcp9g5VP4stqnX0xqJu0/fh4M9jALrmpB/gSlpXdqLMS25T96f/Fq3AWMSs9KZl/T7YXPierHKq058BWja+NwOhv8Wp2xfNwacnRS7+fGhfg+tFT+hvmur1QVPne1DkUIeHPsfg985N6/q8bE7V+lrl4suDVgG946JxcuevPFYx7Xws1Nh6Ix+fg7QOvQrqerX4X/uh+RhO9Xn5cpvgt2avPN46tYtVRlb6w/XnjOHmM5rLOfrzTPPeGW/JzY/8vqDWm0qt3nx8+tIfNWNA85oLyoPy0hHeHkVGXl8qcl/AJUMq/iP+vsZ/jfAmp1EmRx1Kep+inJpuwVPTX1y6eqef+chk6JTJVKRm4ogmnojdFnviDvxs5x5g3dOh9C0l/ZVY9/ezXajtofXQWXTKHLSxLsbsh9lF6+K9OT9bJrE8y0tne1tQI/fC97FWnvN9gO3lWd9WoW/lX5DQXL8vUtEtRCTLu3tmXkXQg+LOG+WA9He+AZ6lpywWnTw78dhbpPNTFCHpr57niOhiPLgs6RwRerRUUY6clCM8ixSX0I4KfevgCB+pHX653yDP5Yd5VikQv8O6UK0OcqXmpDpwSPUMMwIR6n8TIrTfiw34u6HKbkkPViSd4DsoSnRqPas+AbZwjgvzFeMVzH/pDN1MtUsxmje7htUZ2EYpFzrpXo3vV+D7lpRNfFuvMd4ei+qc4bSC5lTJZO/jDoXOd5IeZDQb5uOjOn6eVfCaefT/Xin6niXpLsgSYZY9wH28MdJLlG52UHo6T1mdr71bIa3+WpNomhOVZhzos5HVewGJGnfls5/OP3I5mriEjj3X6SQmtzvBy8NL4yMLR2XKSjL1+EZ45iHLzINOj5Gmx1Los5KoGXx8cf3G8v/CsVo42rp+4w/Xbz7aWv/6tvofOs6JX4lfi6uwOv1RfA0j9EAcAqd/rp1bu7T2WeN94y+Nvzb+Rk0/WVOYX4rCv8b3/wWeNF4D</latexit> E|Wp(↵, n) Wp(↵, 1)| 6 Aude Genevay <latexit sha1_base64="AAQHEaTZCo4XtKgRATbvN+r5c2g=">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</latexit> Theorem: <latexit sha1_base64="bqML1+xf+kMBSZuJMdXq4/xbgEk=">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</latexit> [Genevay 2019] <latexit sha1_base64="55EpdpZSl2Iinvopx/RYdSz4qro=">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</latexit> E|W" p (↵, n) W" p (↵, 1)| 6 <latexit sha1_base64="bK09BEGbce3aga+hK85roGLmMAY=">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</latexit> requires n ⇠ (1/")dimension ⇥ (1/ )2 Richard Dudley
  11. Impact of Regularization ↵ ↵ ⇡" ⇡" ⇡" "!0 !

    ⇡ OT ⇡" "!+1 ! ↵ ⌦ Theorem: " 10 0.1 10 3
  12. Impact of Regularization ↵ ↵ ⇡" ⇡" ⇡" "!0 !

    ⇡ OT ⇡" "!+1 ! ↵ ⌦ Theorem: " 10 0.1 10 3
  13. " = 10 " = .1 " = 10 3

    ↵ ⇡" Impact of Regularization Theorem: C⇡(x, y) def. = R x 1 R y 1 d⇡(x, y) Copula: Cumulative: ⇡" (s, t) (independence) (dependence) ⇡" s t 0 1 1 " 10 0.1 10 3 " ! 0 " ! +1 st min(s, t) ⇡(s, t) def. = C⇡(C 1 ↵ (s), C 1(t))
  14. " = 10 " = .1 " = 10 3

    ↵ ⇡" Impact of Regularization Theorem: C⇡(x, y) def. = R x 1 R y 1 d⇡(x, y) Copula: Cumulative: ⇡" (s, t) (independence) (dependence) ⇡" s t 0 1 1 " 10 0.1 10 3 " ! 0 " ! +1 st min(s, t) ⇡(s, t) def. = C⇡(C 1 ↵ (s), C 1(t))
  15. Sinkhorn’s Algorithm Proposition: <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit

    sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> Ki,j def. = e d(xi,yj )p " <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="Aj13Pudp3mh0YVvEj8fuguyPDYc=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="+2swvmn1CRFRsgsGG2A0werotFo=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> min P nP i,j d(xi, yj)pPi,j + "Pi,j log(Pi,j) ; P1 = a, P>1 = b o <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">AABF7HictVxfc9u4EYev/+7cf0n72BdenXSSnpva7nXamZubucR2El+cRIlkJ3dR4hElWqFDiYooKU50+hadvnQ67VO/Rj9HP0Bn2qd+hS52AQKUQC7opuHYBkH8dhdLYLG7ABOOkjibbG39Y+2Db337O9/93ocfrX//Bz/80Y8vXf7JcZZOx93oqJsm6fhp2MmiJB5GR5N4kkRPR+OoMwiT6En4alc+fzKLxlmcDluTt6Po+aDTH8ancbczgaqTy2sfXWlPB/Fw3m4sgnY0zLrpsDdfD9rZdHAyn7eRw3wc9RbxYlPfhsk0WpwtFkHvmt3i/GS5zduTs8X1F6Og3eBprX8C/EdZnKRDr/btJO1f82h4fX0xX283gnY6jLLP253dTSD/oj1JR7oq3F1frF9ZP7m0sXVjC/8Fq4VtVdgQ6l8jvfzxP0Vb9EQqumIqBiISQzGBciI6IoPrmdgWW2IEdc/FHOrGUIrxeSQWYh2wU2gVQYsO1L6C3324e6Zqh3AvaWaI7gKXBH7GgAzEVcCk0G4MZcktwOdTpCxry2jPkaaU7S38DRWtAdROxEuo5XC6pS9O9mUiTsXvsQ8x9GmENbJ3XUVlilqRkgdWryZAYQR1styD52ModxGp9RwgJsO+S9128Pm/sKWslfdd1XYq/o1SXoUrEE3V+zSn0BEzpB/g25zCM5InAc59oBCpPsrSG9T1AHs/hPZzqH8A1wJLWichXHOsXVQid+FyIXdZ5B24XMg7LPIQLhfykEU24HIhGwopsWPUuRvfhMuFb7KcH8HlQj5ikY/hciEfs8hjuFzIYxb5NVwu5Ncs8jZcLuRtFnkPLhfyHotsweVCtljkEVwu5BGL3IfLhdxXyPKZOoYrRToxMytvQrnIQ1qKBGpusvLdQuvowt7ymNPdEiw/q/fgrxu756HTqAS77zHuTkuw/Mi7AzbSjeVt0V1cTVzYuyz2AEaAG3vAYr8UZyXYLz1m2qsSLD/XDqGdG8tb3/tw58beZ7EPoOTG8mvUQ6hxYx96rBijEmyDxT4Sr0uwPlZ/XILl7X4T7Ioby69TLWjvxvpY02kJlrenx+DBuLH8avUEat3YJyz2qTgvwT5lsV+BdXdjv/JYYd+VYPUau44rSB/9kQhmbBW1Tj4rZWkE1DoM/yRfWxL0jUOo5zD9HNNHzIBF3MkRdzwRhzni0FuuLLejGfq7PJdmjmh6IsJ8bZKlCdu+l7eXpcQDsZcj9pYQVR6pfNe6LzP0LnQNh5zkK5cs+fQpze23LEVqPFRbXo14WEDQ2H6JI38ToyUZQUlNVVF7ma/xhAzwvgrxBqM33UvNg8dNcqtgo85ZVOhAhSzqrQP1lkVNHagpi5o5UDMWZWa+jWt7jACjf/ku5nhHI4B85PIrAK/gJqw6d2GOBjB+GuAFPsaah/C3ibE3d1VJJqN5uU7KLMfzgiUeQ2kuNqDeRIV7GF8nOMMikIxaPlQxvryTuY25mnNkhRf5Sh7kGRN/OjHK08/pSG8xwPlUj849rFmgd0elevi7+bzXpXr4fdT4Ar14KtXDT5T0kwvI3lLY1gWwTZhNI6V9U65Lg/IvREOX13HVlRZXvtWBGjOS3nlN+gfqzRxc4L3sYon0Y8r1aGRW/7JC/+rQMHrOLD3XoyK9J/J6dSmo3ZOhintNua4MKa6iQyWHuav7ZmSbnnozulyPRgM8rl2MuedWue7oHeW9MeV6NI4F5T0X6Mnrcj0afbwnfZhyPRoy29JRcb4p17XsUgMUO5tyXas+xCywzAHRmKca4xWN0U+aKmox+gfV2Rrb519dx2TO5kUeI1RTMr5tOZ0wX8uqJdL+QgRWbVJTDulfTC0frEhjLnbY+IpkmBTW91U6Zo2Xmj8ELQYw+2kPgMuZJyChzklI650AxW026ir2TON2WJwcJadLqLaqnbDeouFLWaNi3QnWcnGZ6a3RYxvtdYZjb4Q+4SFqltPDYekbLqPIaeiwoCGeXh3dvVPztaj9LRY3WkKM8pHWxR0h2kmrjlNdWm9aOr6qdnkmcNGejxm/Mtt8qqyNjHlStEVSliqedjudR7Lr5Lq6KUyOm54F+EalvZqh1YhxRypjo1CdLSZvfI73hvYR7slJHkSjC+8xUFRGgnbNZBZd5tMDtKi2veV4S33pDB2VM7S62h5Xo/sWuu9A149xdmHFeAClFsQMR3DX8ohy1nNdpajxsfhVvjua4husjuiTgoXUNMjeRAULWRVlvyxQeQNoORooSvensUxH49srlPio3yWPiV2Llv8q7tzq/e0OjvHy0Vyeiekh1x3kGuCsoV1dulvmQBLMnU920H+t7qXkV4ejtKEc1xcWZ9LLEHf8I4xgR+gZJzjbuNlRbG3np5afaE4NoffO5W52ihYyQPsXwPqU4pgM8Mc+O6B30MkiJGgjfexOnHs3Ll8nZseY8eNiQacazHiL0JZNkb+ma8+uDMciRQy0DiyWxrbWySH6ghFyHSvrbuZ29eojkeachD1KiKIZK9eQ/3X8rX/0ONlYGRFSw/INZMrWud5HijGL1FEHV/lqG6Tb2lJeyWV4oaQ265+R6UpBsj2MuKQ8crXuAecu3hMvOUrGKHe20obW0apsrqQ8WtKj7O0pRvFk9/tqBZZyb+IquYFzro2jpA+jYJJHEbotl0Ve5lvNq0jdj3b2f6FudF3UmqQYCJPBJQ1x+f0IozVbygRGNY3fVzib3FofL7Wq5jPEsTiw5vI3UPsx/NZy63s/OmHBKtzCMUAUzJ3RCNUEKy38eN0q8NIjU9My94afGZO6lV1zkfiarJuJsWe1qTRw1JyrrIUuX4TGmUXjzFOHLdxrNFrU9doSnbCxRUvtVvryq8OtVYPylKXMe2QaFXtIacdSflR7LFU+xteodyytLZZWB2arvRtgz3kfpHuuL8/ub/LVPRC30bfpogdG8UsPZ2mMPpeurY7UiILk/Kmyr/bsb2ON5B6iBZWU6RynnDG069TFa5FL+gu1sqVo541F0OeW3qg22sa2sfybFeQA50SG81IjPsUWkZLfliNYskg3LJ8jwMx/B30q8juqY2a7tXknQcGfMPEmzSrDiyKFIeqfy7wdrESvB1b8GmBMOFXedQi06r9hSYEwOpPg9iwzfENylaOdBPJoQ7Sfq3aKdvGGlkQ3UOq5+NzDxlDUa8a6PbZ0j3XffgktpdbNW3e14Pkl3hw5fhfZ0evgqjZQPup86f5itDpqlSveV+lhusTX6GOKbezIwkR5RUxbfObNhSSqx4UwPlzq9aKO/PUkryMz7U75UtatNeVipoFszEuMl7hzoBLh8u6uOb2560w/whV6IWJtalTDUZLZuFTlB2xLK7NSwVKEZNdza1JirUdl64XhYa8axo6TpYzQCiaCy91Qa7sP7UK0wmdjiEJX0MnesjjRpvkZXPJ3IFxRoubok0Nsgp97U+yK/fdwKuK1KlNmM8AaaRN6SzF4R/Wz2KJaR68t6jZ9Hw7+PGLQNSd9jCtqXdmJMi+5Td2f/hu0BmMRsdKblvX7YHPhe7LKqU5/YrRwfG9iob/JqdsXzcGnJ0Uu/nxof4PrxanQ3zbV64OmzvegyKEOD32ewe+dm9b1edmcqvW1ysWXB60DeudF4+QOYHnMYtr5WKix9UbePwdpHU4rqOvV4n/th+ZjONXn5cstw2/OzjzeOrWLVGZW+sX154zh5jOayzn680zz3hmvyc2P/L+g1ptKrd68f/rSLzVjQPOaC8qH8tIR3h5FRl5fKnJ/wCVDKv4j/r7Gf5XwOqdRJkcdSnq/opyabsFT019eunqnn/nIZOiUyVSkZuKJJp6M3RUH4jb87OYeYN1TovRNJf2VWPd3tD2oPUXrobPplEFoY12EWRCzm9bDe3OOtkxieaaXzvi2oEbuiR9irTzv+wDbyzO/rULfyr8kobl+X6SiV4hMlnf5zLwKoQfFHTjKBenvfQM8U0/ZLDqBNvDYY6RzVBQp6a+f54joYVy4LOkcEXq0VFEOnZRDPJMUldAOC33r4ggfqZ1+ue8gz+d38uxSIH6NdR21OsiVmpOq4ZDqGWYGQtT/FkRovxWb8HdTld2SNlYkzfAdFCU6t55VnwRbOMeF+ZrxKubBdKZuptqlGNWb3cPqTOxeKRc68V6N71fg+5aUTXxbrzDuHovq3OG0guZUyWTv5w6FznuSHmQ028nHR3X8PKvgNfPo/71S9D1L0jsgS4jZ9gD388ZIL1G62Ufp6Vxldd72boW0+qtNomlOVppxoM9IVu8JJGrclc9+OgfJ5WqiEjr2XKcTmdxpkdhJiZ+fI4/TEB2P3vJ99ekpR2XKSjL1+BJ55iHLzIPOKSPNKUuhz0qi7MPJpY3t5f/rY7VwvHNje+vG9qOdjS9uqf8H5EPxM/FzcQ3Wvt+JL2D8N8SR6K6N1v649pe1v+4P9/+w/6f9P1PTD9YU5qei8G//b/8Ft/imRQ==</latexit> Pi,j = ui Ki,j vj <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">AABFYnictVxfcxu3EYfSf6maNnYz7Uv7cKnsjtNRXUlNp51mMhNbkmVFik2blOzEtDU88kiffOLRPJL+w3Cm36yfo+9tp33qV+hiFzjgSNwtTnV1IxEH4re72AMWuwucwlESZ5Otrb+tvfed737v+z94/4frP/rgxz/58MrVn55m6XTcjU66aZKOH4edLEriYXQyiSdJ9Hg0jjoXYRI9Cl/syu8fzaJxFqfD1uTNKHp60RkM437c7Uyg6uzKX661G2fzeRspzcdRbxEvNvVtmEyjxfliEax/HqzbbYL2dO8sDuDzz+vtIxa/Ds0KdUF7tnd2Dvj1a2dXNrZubuFPsFrYVoUNoX4a6dWP/yHaoidS0RVTcSEiMRQTKCeiIzK4nohtsSVGUPdUzKFuDKUYv4/EQqwDdgqtImjRgdoX8HcAd09U7RDuJc0M0V3gksDvGJCBuA6YFNqNoSy5Bfj9FCnL2jLac6QpZXsDn6GidQG1E/EcajmcbumLk32ZiL74E/Yhhj6NsEb2rquoTFErUvLA6tUEKIygTpZ78P0Yyl1Eaj0HiMmw71K3Hfz+X9hS1sr7rmo7Ff9GKa/DFYim6n2aU+iIGdIP8GlO4TuSJwHOA6AQqT7K0ivU9QX2fgjt51B/D64FlrROQrjmWLuoRO7C5ULussgDuFzIAxZ5DJcLecwiG3C5kA2FlNgx6tyNb8LlwjdZzg/gciEfsMiHcLmQD1nkKVwu5CmL/AYuF/IbFnkHLhfyDos8gsuFPGKRLbhcyBaLPIHLhTxhkftwuZD7Clk+U8dwpUgnZmblLSgXeUhLkUDNLVa+22gdXdjbHnO6W4LlZ/UefLqxex46jUqw+x7jrl+C5UfeAdhIN5a3RXdxNXFh77LYQxgBbuwhi/1SnJdgv/SYaS9KsPxcO4Z2bixvfb+COzf2KxZ7D0puLL9G3YcaN/a+x4oxKsE2WOwD8bIE62P1xyVY3u43wa64sfw61YL2bqyPNZ2WYHl7egoejBvLr1aPoNaNfcRiH4vXJdjHLPZrsO5u7NceK+zbEqxeY9dxBRmgPxLBjK2i1slnpSyNgFqH4Z/ka0uCvnEI9RxmkGMGiLlgEQc54sATcZwjjr3lynI7mqG/y3Np5oimJyLM1yZZmrDte3l7WUo8EHs5Ym8JUeWRymet+zJD70LXcMhJvnLJkk+f0tx+y1KkxkO15dWI+wUEje3nOPI3MVqSEZTUVBW15/kaT8gA76sQrzB6073UPHjcJLcKNuo1iwodqJBFvXGg3rCoqQM1ZVEzB2rGoszMt3FtjxFg9C+fxRzvaASQj1x+BeAV3IJV5y7M0QDGTwO8wIdYcx8+mxh7c1eVZDKal+ukzHI8LVjiMZTmYgPqTVS4h/F1gjMsAsmo5X0V48s7mduYqzlHVniRr+RBnjHxpxOjPIOcjvQWA5xP9egcYc0CvTsq1cPfzee9LtXD76PGF+jFU6kefqKkn1xC9pbCti6BbcJsGintm3JdGpR/IRq6vI6rrrS48qleqDEj6b2uSf9QPZnDSzyXXSyRfky5Ho3M6l9W6F8dGkbPmaXnelSk90Rery4FtXsyVHGvKdeVIcVVdKjkMHd1n4xs01NPRpfr0WiAx7WLMffcKtcdvaO8N6Zcj8apoLznAj15Xa5HY4D3pA9TrkdDZls6Ks435bqWXWqAYmdTrmvVh5gFljkgGvNUY7yiMfpJU0UtRv+gOltj+/yr65jM2TzLY4RqSsa3LacT5mtZtUTaX4jAqk1qyiH9i6nlgxVpzMUOG1+RDJPC+r5Kx6zxUvPHoMUAZj/tAXA58wQk1DkJab0ToLjNRl3FnmncDouTo6S/hGqr2gnrLRq+lDUq1p1hLReXmd4aPbbRXmc49kboEx6jZjk9HJc+4TKKnIaOCxri6dXR3Vs1X4va32JxoyXEKB9pXdwRop206jjVpfWmpePrapdnAhft+ZjxK7PNfWVtZMyToi2SslTxtNvpPJJdJ9fVTWFy3PRdgE9U2qsZWo0Yd6QyNgrV2WLyxud4b2if4J6c5EE0uvAcA0VlJGjXTGbRZT49QItq21uOt9SXztBROUOrq+1xNXpgoQcOdP0YZxdWjHtQakHMcAJ3LY8oZz3XVYoaH4vf5rujKT7B6og+KVhITYPsTVSwkFVR9vMClVeAlqOBonR/Gst0NL69QomP+l3ymNi1aPmv486t3t/u4BgvH83lmZgect1BrgHOGtrVpbtlDiTB3PnNDvqv1b2U/OpwlDaU4/rM4kx6GeKOf4QR7Ag94wRnGzc7iq3t/NTyN5pTQ+i9c7mbnaKFDND+BbA+pTgmA/y1zw7oHXSyCAnaSB+7E+fejcvXidkxZvy4WNCpBjPeIrRlU+Sv6dqzK8OxSBEDrQOLpbGtdXKMvmCEXMfKupu5Xb36SKQ5J2GPEqJoxsoN5P8J/tW/epxsrIwIqWH5BDJl61zPI8WYReqog6t8tQ3SbW0pr+UyPFNSm/XPyHStINkeRlxSHrla94BzF++JlxwlY5Q7W2lD62hVNldSHi3pUfa2j1E82f2BWoGl3Ju4Sm7gnGvjKBnAKJjkUYRuy2WRl/lW8ypS96Od/V+oG10XtSYpBsJkcElDXH4/wmjNljKBUU3j9wXOJrfWx0utqvkMcSxeWHP5W6j9GP5qufW9H52wYBVu4xggCubOaIRqgpUWfrxuF3jpkalpmXvDz4xJ3cquuUx8TdbNxNiz2lQaOGpeq6yFLl+GxrlF49xThy3cazRa1PXaEp2xsUVL7Vb68qvDrVWD8pSlzHtkGhV7SGnHUn5UeyxVPsbXqLcsrS2WVgdmq70bYM95H6R7ri/P7m/z1T0Qd9C36aIHRvFLD2dpjD6Xrq2O1IiC5Pypsq/27G9jjeQeogWVlOkcp5wxtOvUxWuRS/prtbKlaOeNRdDnll6pNtrGtrH8+xXkBc6JDOelRnyKLSIlvy1HsGSRblo+R4CZ/w76VOR3VMfMdmvzTIKCP2HiTZpVhhdFCkPUP5d5O1yJXg+t+DXAmHCqvOsQaNV/wpICYXQmwe1ZZviE5CpHOwnk0YZoP1ftFO3iDS2JbqLUc/G5h42hqNeMdXts6R7rvv0GWkqtm6fuasHzS7w5cvwus6PXwVXtQvmo86X7y9HqqFWueF+lh+kSX6OPKbaxIwsT5RUxbfGZNxeSqB4XwvhwqdeLOvLXk7yOzLQ75UtZt9aUi5kGsjHPMV7izoFKhMu7u+H05j5h+hGu0AsRa1OjGo6SzMalKj9gW1qZlQqWIiS7nluTEms9KlsvDA971TB2nCxlhFYwEVzuhlrbfWgXohU+G0MUuoJO9pbFiTbNz+CSfwPhihI1R58cYhP83FtiV+y/g1MRL1WZMpsB1kib0FuKwTuqn8UW1Tp6aVG36ftw8OcRg6456WNcUevKTpR5yW3q/vRfoTUYi4iV3rSs3webC9+TVU51+hOjheN7Ewv9Tk7dvmgOPj0pcvHnQ/sbXC/6Qr/bVK8PmjrfgyKHOjz0eQa/Z25a1+dlc6rW1yoXXx60DuidF42TO4DlMYtp52OhxtYTefccpHXoV1DXq8X/2g/Nx3Cqz8uXW4bvnJ17PHVqF6nMrPSL688Zw81nNJdz9OeZ5r0zXpObH/l/Qa0nlVq9eff0pV9qxoDmNReUD+WlI7w9ioy8vlTk/oBLhlT8R/x1jX8r4WVOo0yOOpT0fkU5Nd2Cp6bfvHT1Tn/nI5OhUyZTkZqJJ5p4MnZXHIo78Lube4B1T4nSO5X0KbHu92h7UNtH66Gz6ZRBaGNdhFkQs5vWw3tzjrZMYnmml874tqBG7okfY60873sP28szv61C38rfJKG5/pVIRa8QmSzv8pl5FUIPijtwlAvS7/sGeKaesll0Au3CY4+RzlFRpKTffp4joodx4bKkc0To0VJFOXRSDvFMUlRCOyz0rYsjfKR2+uW+gzyf38mzS4H4HdZ11OogV2pOqoZDqieYGQhR/1sQof1BbMLnpiq7JW2sSJrhMyhK9Nr6rvok2MI5LszbjNcxD6YzdTPVLsWo3uweVmdi90q50In3avygAj+wpGzi03qBcfdYVOcOpxU0p0omez93KHTek/Qgo9lOPj6q4+dZBa+ZR/+PStFHlqQHIEuI2fYA9/PGSC9RutlH6elcZXXe9m6FtPqtTaJpTlaacaDPSFbvCSRq3JXPfjoHyeVqohI69lynE5ncaZHYSYmfnyOP0xAdj97yffXpKUdlykoy9XgTeeYhy8yDTp+Rps9SGLCSKPtwdmVje/l/fawWTndubm/d3H6ws/HFbfV/QN4XvxC/Ejdg7fuj+ALGf0OcAKd/rn2w9rO1n+/9fX99/+r+R9T0vTWF+UgUfvZ/+V8Z4W1b</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit>
  16. Sinkhorn’s Algorithm Proposition: <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">AABB1nictVzbchu5EYU3l107N29SecrLJFqnvFuOV1a2KpetVK0sybLWtE2blC+7tF28jGjaQw7NIWXZXFWeUnnNL+Q1+Yh8R/4gecovpC/AAENipjGKY5QkDIjT3egBGt0N0L1pMsrmm5v/PPfet779ne++/8H5C9/7/g9++KOLH/74QZYuZv34sJ8m6exRr5vFyWgSH85H8yR+NJ3F3XEviR/2Xu7g5w+P41k2Sift+Ztp/GTcHU5GR6N+dw5Nzy7+tDOPTwC3bM7SaZqNsPX3p88ubmxe3aR/0Xrlmq5sKP2vmX4YHaqOGqhU9dVCjVWsJmoO9UR1VQbla3VNbaoptD1RS2ibQW1En8fqVF0A7AJ6xdCjC60v4fcQnr7WrRN4RpoZofvAJYGfGSAjdQkwKfSbQR25RfT5gihjaxntJdFE2d7A356mNYbWuXoOrRLO9AzF4Vjm6kj9lsYwgjFNqQVH19dUFqQVlDxyRjUHClNow/oAPp9BvU9Io+eIMBmNHXXbpc//RT2xFZ/7uu9C/ZukvAQlUi09+jSn0FXHRD+it7mAz1ieBDgPgUKsx4i116TrMY1+Av2X0H4HyinVjE56UJbUelqJ3IHiQ+6IyH0oPuS+iGxA8SEbIrIJxYdsaiRiZ6RzP74FxYdviZzvQfEh74nI+1B8yPsi8gEUH/KBiPwKig/5lYi8AcWHvCEib0HxIW+JyDYUH7ItIg+h+JCHInIPig+5p5HlK3UGJSU6I2FVbkO9yAMtRQIt26J818k6+rDXA9Z0vwQrr+pd+OvH7gboNC7B7gXMu6MSrDzz9sFG+rGyLbpJu4kPe1PEHsAM8GMPROyX6kUJ9suAlfayBCuvtQb082Nl63sbnvzY2yL2DtT8WHmPugstfuzdgB1jWoJtith76lUJNsTqz0qwst1vgV3xY+V9qg39/dgQa7oowcr29AF4MH6svFs9hFY/9qGIfaROSrCPROxjsO5+7OOAHfZtCdbssRdoBxmSPxLDiq2i1s1XJdamQK0r8E/yvSUh37gH7RJmmGOGhBmLiP0csR+IaOSIRrBcWW5HM/J3ZS6tHNEKRPTyvQlrc7H/IO+PtSQAsZsjdlcQVR4pvmszlmPyLkyLhJznOxfWQsaU5vYba7GeD9WW1yDuFhA8t5/TzL9C0RJGUKipKmrP8z2ekRE9VyFeU/RmRml4yLh5bhVc1ImI6nlQPRH1xoN6I6IWHtRCRB17UMciyq58F9cJmAFW//gulvTEM4B95PISgVewDbvOTVijEcyfJniB96nlLvxtUewtlSrJMJrHfRKzHE8KlngGtaXagHYbFe5SfJ3QCotBMu55V8f4+IS5jaVec2yFT/OdPMozJuF0RiTPMKeD3mJE66kenVvUckreHdfq4W/m697U6uH3SOOn5MVzrR5+rqWfn0H2tsa2z4BtwWqaau3bel0anH9hGqZ+gXZdtLj4Vsd6ziC9k5r0D/SbOTjDe9mhGuvH1uvRyJzxZYXx1aFh9Zw5eq5HBb0n9npNLao9komOe229rgwp7aITLYd9qvtmsM9AvxlTr0ejCR7XDsXcS6ded/ZO89HYej0aDxTnPU/Jkzf1ejSG9Mz6sPV6NDDb0tVxvq3XteyoAY6dbb2uVZ9QFhhzQDznucV6RTPykxaa2oj8g+psjevzr+9jmLN5mscI1ZSsb1tOp5fvZdUSGX8hBqs2rykH+hcLxwcr0liqLTG+Yhnmhf19nY7d41HzDdBiBKufzwCknHkCEpqcBFrvBCheE6Ou4sgMbkvE4Sw5WkF1dOtc9BYtX84aFdueUasUl9nRWj12yF5nNPem5BM2SLOSHhqlb7iMoqShRkFDMr06unur12tR+5sibrqCmOYzrU8nQnySVh2n+rTecnR8SZ/yzKHwmY+dv5htPtLWBmOelGwRylLF0+1n8khuG+6rV5TNcfNnEb1RtFfHZDVGdCKViVGoyRazN76kZ0v7kM7kkAfT6MN7jDSVqeJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj100EMPun6MswM7xh2otSFmOISndkCUcyHXVUoan6lf5aejKb3B6og+KVhIQ4PtTVywkFVR9vMCldeAxtnAUXo4jVU6Bt9ZoyRH/T55bOxatPyX6OTWnG93aY6Xz+byTMyAuG4R14hWDZ/q8tMqB5Zg6f1ki/zX6lEivzoc0YZKXJ86nFkvEzrxjymCnZJnnNBqk1ZHsbebn1r9xHBqKnN2jqfZKVnIiOxfBPtTSnMyoh/37oA5QWeLkJCNDLE7o9y78fk6I3GOWT9upPhWg51vMdmyBfE3dN3VldFc5IiB94HTlbltdNIgXzAmrjNt3e3art59EGnvSbizhCnauXKZ+H9Mv82PmScbazMCNYxvINO2zvc+UopZUEdd2uWrbZDp60r5US7DUy213f+sTB8VJNuliAvlwd16AJz79My8cJbMSO5srQ/vo1XZXKQ8XdEjjvaIoni2+0O9A6PcV2iX3KA116FZMoRZMM+jCNNXyiKv8q3mVaQeRjv7v1C3ui5qDSlGymZwWUNSfj+maM2VMoFZzfP3Ja0mv9ZnK72q+UxoLo6dtfwNtP4cfhu5zXMYnV7BKlynOcAU7JPVCLdEaz3CeF0v8DIz09Cyz5afnZOml9tylviarZuNsY9rU2nSrDnRWQtTPwuNFw6NF4E6bNNZo9WiaTeW6JkYW7T1aWUovzrc2jUoL0TKskdmUKMAKd1YKozqQKQqx/gG9VaktSnS6sJqdU8D3DUfgvSv9dXV/U2+u0fqBvk2ffLAOH4Z0Codkc9lWqsjNaaAnD/T9tVd/R1qQe49sqBIme9x4orhU6c+ldNc0l/qnS0lO28tgrm39Fr3MTa2Q/VfryHHtCYyWpcG8Rn1iLX8rhzRikW66vgcEWX+u+RTsd9RHTO7ve07iQr+hI03eVVZXhwpTEj/UubtYC16PXDi14hiwoX2rntAq/4bRgqMMZkEv2eZ0RvCXY5PEtij7ZH9XLdTfIo3cSS6SlIv1R8CbAxHvXauu3PLjNiM7RPoiVq3b93XQ+aXBHOU+J3lRK9Lu9pY+6jLleez0erqXa74XKWHxQpfq48F9XEjCxvlFTEd9XkwF5aoHhfGhHCpN4o68teTvI7MfDoVStn0NpSLmQa2Mc8pXpLugSLC591d9npzHwvj6K3R6xHWpcYtEiXMxqU6P+BaWsxKnV/bh7j1fOVulDg7UdlOYai7u4W132whY7J+iZJyNtzblb1TiFLkLAxT6Cu+0VsWH7o0P4eCvyPliw4Nx5DcYQv82221o/bewW2IV7rOGc2IWtAWDFZi764eZ7FHtY5eOdRd+iEcwnmMQNeS9CPaSevKzpRlyV3q4fRfkxWYqViU3vasPwaXizySdU51xjMiyyaPZqTMd3HqjsVwCBlJkUs4Hz7XkEZxpMx3muqNwVCXR1DkUIeHuccQ9s5t7/q8XE7V+lrnEsqDdwFz4mJwePJXHqvYfiEWaua8kXfPAa3DUQV1s1v8r+MwfCyn+rxCuWX0XbMXAW+d+8U6I4v+cP01Y7mFzOZyjuE803x01lvy82O/L6r1plJnNO+ePvqjdg4YXkvFeVBZOsa7s8jKG0oFzwV8MqTqP+of5+RvI7zKaZTJUYeSOacop2Z6yNTMNy59ozOfhchk6ZTJVKRm44gW3YjdUQfqBvzs5B5g3duh/F1K/otY//dnB9B6RNbDZNE5c9ChtpiyH/YUbUDP9v5smcR4l5fv9rahBc/CG9SK93zvUH+869sujK38GyS81m+rVA0KEcnq6Z5dVz0YQfHkjXNA5nu+Ed2l5ywW3zwbB5wtmvtTqxIt6RP5ZkGvFN9zpOzTXJ3qs3o8OcAb9t08PxSpT6mtq+087rkS52Yp5+YK54y0U+Rw4nxWfTerjMuOw2WQ586Odb+U4mx7nledG90t5cJ30Kvxwwr80JGyRdp/SZHwTFVn8xYVNBdaJveEdaJMJpL1gHFmN3/f1ZHtcQWv44Dx3ypF33Ik3QdZepT/juiEbUb0Eq2bPZKebzpWZ1JvVkirv0f57OLGtdX/y2C9crh19XdXr93b2vjiuv5vDj5QP1O/UJdhif9GfQHEmuqQDr3/qv6m/r79ePuP23/a/jN3fe+cxvxEFf5t/+W/mrqpxQ==</latexit> <latexit

    sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> u (Kv) = a <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="0tr66ho5RmqbHjRupaTbkUYSLws=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="xdldN1QwoU6g0JBlxgDQggJNTnU=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> v (K>u) = b <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> Ki,j def. = e d(xi,yj )p " <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> <latexit sha1_base64="Aj13Pudp3mh0YVvEj8fuguyPDYc=">AABBsnictVxtcxu3EYbTt1hNW+dzv1yruON0XFdyMpPOZDpTWZJlxbQtm5TsJLI9fDnRtE88mkfKL4z+QL/2B/V39B+0n/oXui/AAUfibgHFNUYSDsSzu9gDFrsL0L1JNipmGxv/uvTRT376s5//4uPLa7/8ZO1Xv/7NlU+Oinw+7aeH/TzLp0963SLNRuP0cDaaZemTyTTtnvay9HHv1TZ+/vgsnRajfNyZvZukT0+7w/HoZNTvzqDp4PmV9Y0bG/QvWa1s6sq60v/yT5NDdawGKld9NVenKlVjNYN6prqqgPK92lQbagJtT9UC2qZQG9HnqTpXa4CdQ68UenSh9RX8HsLT97p1DM9IsyB0H7hk8DMFZKKuAiaHflOoI7eEPp8TZWyto70gmijbO/jb07ROoXWmXkCrhDM9Q3E4lpk6UX+hMYxgTBNqwdH1NZU5aQUlT5xRzYDCBNqwPoDPp1DvE9LoOSFMQWNH3Xbp839TT2zF577uO1f/ISmvQklUW48+Lyl01RnRT+htzuEzlicDzkOgkOoxYu0N6fqURj+G/gtovw/lnGpGJz0oC2o9b0RuQ/Eht0XkHhQfck9EtqD4kC0ReQDFhzzQSMROSed+fBuKD98WOT+E4kM+FJGPoPiQj0TkERQf8khEfgfFh/xORN6G4kPeFpF3ofiQd0VkB4oP2RGRh1B8yEMRuQvFh9zVyPqVOoWSE52RsCq3oF7lgZYig5YtUb5bZB192FsBa7pfg5VX9Q789WN3AnSa1mB3A+bdSQ1Wnnl7YCP9WNkW3aHdxIe9I2L3YQb4sfsi9hv1sgb7TcBKe1WDlddaC/r5sbL1vQdPfuw9EXsfan6svEc9gBY/9kHAjjGpwR6I2IfqdQ02xOpPa7Cy3W+DXfFj5X2qA/392BBrOq/Byvb0CDwYP1berR5Dqx/7WMQ+UW9rsE9E7Ldg3f3YbwN22Pc1WLPHrtEOMiR/JIUV20StW65KrE2AWlfgn5V7S0a+cQ/aJcywxAwJcyoi9krEXiCiVSJawXIVpR0tyN+VubRLRDsQ0Sv3JqzNxP6Dsj/WsgDETonYWUI0eaT4rs1Yzsi7MC0SclbuXFgLGVNe2m+spXo+NFteg3hQQfDcfkEz/zpFSxhBoaaaqL0o93hGJvTchHhD0ZsZpeEh42alVXBRb0VUz4Pqiah3HtQ7ETX3oOYi6syDOhNRduW7uOOAGWD1j+9iQU88A9hHri8JeAVbsOvcgTWawPw5AC/wEbU8gL9tir2l0iQZRvO4T2KW42nFEk+htlDr0G6jwh2KrzNaYSlIxj0f6BgfnzC3sdBrjq3webmTJ2XGJJzOiOQZlnTQW0xoPcXRuUst5+TdcS0Of6dc96YWh98ljZ+TF8+1OPxMSz+7gOwdje1cANuG1TTR2rf1WBqcf2Eapr5Guy5aXHyrp3rOIL23kfT39ZvZv8B72aYa68fW42gUzviKyvhiaFg9F46e46ig98Rer6kl0SMZ67jX1mNlyGkXHWs57FPsm8E+A/1mTD2OxgF4XNsUcy+ceuzsnZSjsfU4GkeK857n5MmbehyNIT2zPmw9jgZmW7o6zrf1WMuOGuDY2dZjrfqYssCYA+I5zy3WK5qSnzTX1EbkHzRna1yff3Ufw5zNszJGaKZkfdt6Or1yL2uWyPgLKVi1WaQc6F/MHR+sSmOhborxFcswq+zvq3TsHo+ab4EWE1j9fAYg5cwzkNDkJNB6Z0BxU4y6qiMzuJsiDmfJyRLqWLfORG/R8uWsUbXtObVKcZkdrdXjMdnrgubehHzCFmlW0kOr9g3XUZQ01KpoSKYXo7v3er1Wtb8h4iZLiEk50/p0IsQnac1xqk/rbUfHV/UpzwwKn/nY+YvZ5hNtbTDmyckWoSxNPN1+Jo/ktuG+el3ZHDd/ltAbRXt1RlZjRCdShRiFmmwxe+MLera0D+lMDnkwjT68x0RTmSg+NcMsOubTE7Korr2VeKO+TIaO6wVZXWOPm9FDBz30oONjnG3YMe5DrQMxwyE8dQKinLVSVzlpfKr+VJ6O5vQGmyP6rGIhDQ22N2nFQjZF2S8qVN4AGmcDR+nhNJbpGPzxCiU56vfJY2PXquW/Sie35ny7S3O8fjbXZ2IGxPUmcU1o1fCpLj8tc2AJFt5PbpL/2jxK5BfDEW2oxPWZw5n1MqYT/5Qi2Al5xhmtNml1VHu7+anlTwynA2XOzvE0OycLmZD9S2B/ymlOJvTj3h0wJ+hsETKykSF2Z1R6Nz5fZyTOMevHjRTfarDzLSVbNif+hq67ugqaixwx8D5wvjS3jU5a5AumxHWqrbtd2827DyLtPQl3ljBFO1euEf/P6bf5MfNkfWVGoIbxDRTa1vneR04xC+qoS7t8sw0yfV0pPytleKaltvuflemzimQ7FHGhPLhbD4Bzn56ZF86SKcldrPThfbQpm4uUJ0t6xNGeUBTPdn+od2CU+zrtkuu05o5plgxhFszKKML0lbLIy3ybeVWph9Eu/i/Ura6rWkOKibIZXNaQlN9PKVpzpcxgVvP8fUWrya/16VKvZj5jmounzlr+AVp/B7+N3OY5jE6vYhVu0RxgCvbJaoRbkpUeYbxuVXiZmWlo2WfLz85J08ttuUh8zdbNxthn0VQOaNa81VkLU78IjZcOjZeBOuzQWaPVomk3lui5GFt09GllKL8Ybp0IynORsuyRGdQoQEo3lgqjOhCpyjG+Qb0XaW2ItLqwWt3TAHfNhyD9a315df9Q7u6Juk2+TZ88MI5fBrRKR+RzmdbmSI0pIOcvtX11V/8xtSD3HllQpMz3OHHF8KlTn8p5Kekf9M6Wk523FsHcW3qj+xgbe0z1L1aQp7QmClqXBvEl9Ui1/K4cyZJFuuH4HAll/rvkU7Hf0Rwzu73tO0kq/oSNN3lVWV4cKYxJ/1LmbX8let134teEYsK59q57QCv+DSMFxphMgt+zLOgN4S7HJwns0fbIfq7aKT7FGzsS3SCpF+qvATaGo1471925ZUZsxvZH6Ilat2/d10PmlwVzlPhd5ESvS7vaqfZRF0vPF6PV1btc9blJD/MlvlYfc+rjRhY2yqtijtXXwVxYojgujAnhEjeKGPnjJI+RmU+nQimb3oZyNdPANuYFxUvSPVBE+Ly7a15v7nNhHL0Vej3CutS4RaKE2bhc5wdcS4tZqcsr+xC3Xm7cjTJnJ6rbKQx1d7ew9pstZErWL1NSzoZ7u7IfV6IUOQvDFPqKb/TWxYcuza+h4O9E+aJDwzEkd9gG/3ZLbavdD3Ab4rWuc0YzoRa0BYOl2Lurx1nt0ayj1w51l34Ih3AeI9C1JP2IdtJY2ZmyLLlLPZz+G7ICU5WK0tue8WNwucgjWeUUM54RWTZ5NCNlvosTOxbDIWQkVS7hfPhcQxrFiTLfaYobg6Euj6DKIYaHuccQ9s5t73heLqdmfa1yCeXBu4A5cTE4PPmrj1VsvxALNXXeyIfngNbhpIG62S1+7DgMH8spnlcot4K+a/Yy4K1zv1RnZNEfjl8zllvIbK7nGM4zL0dnvSU/P/b7kqg3lTuj+fD00R+1c8DwWijOg8rSMd6dRVbeUCp4LuCTIVf/Vf+8JH8b4XVJo06OGErmnKKemukhUzPfuPSNznwWIpOlUydTlZqNI9p0I3Zb7avb8LNdeoCxt0P5u5T8F7H+788OoPWErIfJonPm4JjaUsp+2FO0AT3b+7N1EuNdXr7b24EWPAtvUSve871P/fGub6cytvpvkPBav6dyNahEJMune3Zd9WAE1ZM3zgGZ7/kmdJees1h88+w04GzR3J9almhBn8g3C3q1+J4jZZ/m6kSf1ePJAd6w75b5oUT9mdq62s7jnitxPqjlfLDEuSDtVDm8dT5rvptVx2Xb4TIoc2dnul9OcbY9z2vOje7UcuE76M34YQN+6EjZJu2/okh4qpqzefMGmnMtk3vCOlYmE8l6wDizW77v5sj2rIHXWcD479ai7zqS7oEsPcp/J3TCNiV6mdbNLknPNx2bM6l3GqTV36N8fmV9c/m/MlitHN28sblxY/PhhvpY/Vb9Xl2Dpf2V+hsQOVCHQHig/q7+sbW1Ndwa83+C8NEl/b8hfKoq/7Ym/wPFf52/</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="+2swvmn1CRFRsgsGG2A0werotFo=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> min P nP i,j d(xi, yj)pPi,j + "Pi,j log(Pi,j) ; P1 = a, P>1 = b o <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> Pi,j = ui Ki,j vj <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">AABFYnictVxfcxu3EYfSf6maNnYz7Uv7cKnsjtNRXUlNp51mMhNbkmVFik2blOzEtDU88kiffOLRPJL+w3Cm36yfo+9tp33qV+hiFzjgSNwtTnV1IxEH4re72AMWuwucwlESZ5Otrb+tvfed737v+z94/4frP/rgxz/58MrVn55m6XTcjU66aZKOH4edLEriYXQyiSdJ9Hg0jjoXYRI9Cl/syu8fzaJxFqfD1uTNKHp60RkM437c7Uyg6uzKX661G2fzeRspzcdRbxEvNvVtmEyjxfliEax/HqzbbYL2dO8sDuDzz+vtIxa/Ds0KdUF7tnd2Dvj1a2dXNrZubuFPsFrYVoUNoX4a6dWP/yHaoidS0RVTcSEiMRQTKCeiIzK4nohtsSVGUPdUzKFuDKUYv4/EQqwDdgqtImjRgdoX8HcAd09U7RDuJc0M0V3gksDvGJCBuA6YFNqNoSy5Bfj9FCnL2jLac6QpZXsDn6GidQG1E/EcajmcbumLk32ZiL74E/Yhhj6NsEb2rquoTFErUvLA6tUEKIygTpZ78P0Yyl1Eaj0HiMmw71K3Hfz+X9hS1sr7rmo7Ff9GKa/DFYim6n2aU+iIGdIP8GlO4TuSJwHOA6AQqT7K0ivU9QX2fgjt51B/D64FlrROQrjmWLuoRO7C5ULussgDuFzIAxZ5DJcLecwiG3C5kA2FlNgx6tyNb8LlwjdZzg/gciEfsMiHcLmQD1nkKVwu5CmL/AYuF/IbFnkHLhfyDos8gsuFPGKRLbhcyBaLPIHLhTxhkftwuZD7Clk+U8dwpUgnZmblLSgXeUhLkUDNLVa+22gdXdjbHnO6W4LlZ/UefLqxex46jUqw+x7jrl+C5UfeAdhIN5a3RXdxNXFh77LYQxgBbuwhi/1SnJdgv/SYaS9KsPxcO4Z2bixvfb+COzf2KxZ7D0puLL9G3YcaN/a+x4oxKsE2WOwD8bIE62P1xyVY3u43wa64sfw61YL2bqyPNZ2WYHl7egoejBvLr1aPoNaNfcRiH4vXJdjHLPZrsO5u7NceK+zbEqxeY9dxBRmgPxLBjK2i1slnpSyNgFqH4Z/ka0uCvnEI9RxmkGMGiLlgEQc54sATcZwjjr3lynI7mqG/y3Np5oimJyLM1yZZmrDte3l7WUo8EHs5Ym8JUeWRymet+zJD70LXcMhJvnLJkk+f0tx+y1KkxkO15dWI+wUEje3nOPI3MVqSEZTUVBW15/kaT8gA76sQrzB6073UPHjcJLcKNuo1iwodqJBFvXGg3rCoqQM1ZVEzB2rGoszMt3FtjxFg9C+fxRzvaASQj1x+BeAV3IJV5y7M0QDGTwO8wIdYcx8+mxh7c1eVZDKal+ukzHI8LVjiMZTmYgPqTVS4h/F1gjMsAsmo5X0V48s7mduYqzlHVniRr+RBnjHxpxOjPIOcjvQWA5xP9egcYc0CvTsq1cPfzee9LtXD76PGF+jFU6kefqKkn1xC9pbCti6BbcJsGintm3JdGpR/IRq6vI6rrrS48qleqDEj6b2uSf9QPZnDSzyXXSyRfky5Ho3M6l9W6F8dGkbPmaXnelSk90Rery4FtXsyVHGvKdeVIcVVdKjkMHd1n4xs01NPRpfr0WiAx7WLMffcKtcdvaO8N6Zcj8apoLznAj15Xa5HY4D3pA9TrkdDZls6Ks435bqWXWqAYmdTrmvVh5gFljkgGvNUY7yiMfpJU0UtRv+gOltj+/yr65jM2TzLY4RqSsa3LacT5mtZtUTaX4jAqk1qyiH9i6nlgxVpzMUOG1+RDJPC+r5Kx6zxUvPHoMUAZj/tAXA58wQk1DkJab0ToLjNRl3FnmncDouTo6S/hGqr2gnrLRq+lDUq1p1hLReXmd4aPbbRXmc49kboEx6jZjk9HJc+4TKKnIaOCxri6dXR3Vs1X4va32JxoyXEKB9pXdwRop206jjVpfWmpePrapdnAhft+ZjxK7PNfWVtZMyToi2SslTxtNvpPJJdJ9fVTWFy3PRdgE9U2qsZWo0Yd6QyNgrV2WLyxud4b2if4J6c5EE0uvAcA0VlJGjXTGbRZT49QItq21uOt9SXztBROUOrq+1xNXpgoQcOdP0YZxdWjHtQakHMcAJ3LY8oZz3XVYoaH4vf5rujKT7B6og+KVhITYPsTVSwkFVR9vMClVeAlqOBonR/Gst0NL69QomP+l3ymNi1aPmv486t3t/u4BgvH83lmZgect1BrgHOGtrVpbtlDiTB3PnNDvqv1b2U/OpwlDaU4/rM4kx6GeKOf4QR7Ag94wRnGzc7iq3t/NTyN5pTQ+i9c7mbnaKFDND+BbA+pTgmA/y1zw7oHXSyCAnaSB+7E+fejcvXidkxZvy4WNCpBjPeIrRlU+Sv6dqzK8OxSBEDrQOLpbGtdXKMvmCEXMfKupu5Xb36SKQ5J2GPEqJoxsoN5P8J/tW/epxsrIwIqWH5BDJl61zPI8WYReqog6t8tQ3SbW0pr+UyPFNSm/XPyHStINkeRlxSHrla94BzF++JlxwlY5Q7W2lD62hVNldSHi3pUfa2j1E82f2BWoGl3Ju4Sm7gnGvjKBnAKJjkUYRuy2WRl/lW8ypS96Od/V+oG10XtSYpBsJkcElDXH4/wmjNljKBUU3j9wXOJrfWx0utqvkMcSxeWHP5W6j9GP5qufW9H52wYBVu4xggCubOaIRqgpUWfrxuF3jpkalpmXvDz4xJ3cquuUx8TdbNxNiz2lQaOGpeq6yFLl+GxrlF49xThy3cazRa1PXaEp2xsUVL7Vb68qvDrVWD8pSlzHtkGhV7SGnHUn5UeyxVPsbXqLcsrS2WVgdmq70bYM95H6R7ri/P7m/z1T0Qd9C36aIHRvFLD2dpjD6Xrq2O1IiC5Pypsq/27G9jjeQeogWVlOkcp5wxtOvUxWuRS/prtbKlaOeNRdDnll6pNtrGtrH8+xXkBc6JDOelRnyKLSIlvy1HsGSRblo+R4CZ/w76VOR3VMfMdmvzTIKCP2HiTZpVhhdFCkPUP5d5O1yJXg+t+DXAmHCqvOsQaNV/wpICYXQmwe1ZZviE5CpHOwnk0YZoP1ftFO3iDS2JbqLUc/G5h42hqNeMdXts6R7rvv0GWkqtm6fuasHzS7w5cvwus6PXwVXtQvmo86X7y9HqqFWueF+lh+kSX6OPKbaxIwsT5RUxbfGZNxeSqB4XwvhwqdeLOvLXk7yOzLQ75UtZt9aUi5kGsjHPMV7izoFKhMu7u+H05j5h+hGu0AsRa1OjGo6SzMalKj9gW1qZlQqWIiS7nluTEms9KlsvDA971TB2nCxlhFYwEVzuhlrbfWgXohU+G0MUuoJO9pbFiTbNz+CSfwPhihI1R58cYhP83FtiV+y/g1MRL1WZMpsB1kib0FuKwTuqn8UW1Tp6aVG36ftw8OcRg6456WNcUevKTpR5yW3q/vRfoTUYi4iV3rSs3webC9+TVU51+hOjheN7Ewv9Tk7dvmgOPj0pcvHnQ/sbXC/6Qr/bVK8PmjrfgyKHOjz0eQa/Z25a1+dlc6rW1yoXXx60DuidF42TO4DlMYtp52OhxtYTefccpHXoV1DXq8X/2g/Nx3Cqz8uXW4bvnJ17PHVqF6nMrPSL688Zw81nNJdz9OeZ5r0zXpObH/l/Qa0nlVq9eff0pV9qxoDmNReUD+WlI7w9ioy8vlTk/oBLhlT8R/x1jX8r4WVOo0yOOpT0fkU5Nd2Cp6bfvHT1Tn/nI5OhUyZTkZqJJ5p4MnZXHIo78Lube4B1T4nSO5X0KbHu92h7UNtH66Gz6ZRBaGNdhFkQs5vWw3tzjrZMYnmml874tqBG7okfY60873sP28szv61C38rfJKG5/pVIRa8QmSzv8pl5FUIPijtwlAvS7/sGeKaesll0Au3CY4+RzlFRpKTffp4joodx4bKkc0To0VJFOXRSDvFMUlRCOyz0rYsjfKR2+uW+gzyf38mzS4H4HdZ11OogV2pOqoZDqieYGQhR/1sQof1BbMLnpiq7JW2sSJrhMyhK9Nr6rvok2MI5LszbjNcxD6YzdTPVLsWo3uweVmdi90q50In3avygAj+wpGzi03qBcfdYVOcOpxU0p0omez93KHTek/Qgo9lOPj6q4+dZBa+ZR/+PStFHlqQHIEuI2fYA9/PGSC9RutlH6elcZXXe9m6FtPqtTaJpTlaacaDPSFbvCSRq3JXPfjoHyeVqohI69lynE5ncaZHYSYmfnyOP0xAdj97yffXpKUdlykoy9XgTeeYhy8yDTp+Rps9SGLCSKPtwdmVje/l/fawWTndubm/d3H6ws/HFbfV/QN4XvxC/Ejdg7fuj+ALGf0OcAKd/rn2w9rO1n+/9fX99/+r+R9T0vTWF+UgUfvZ/+V8Z4W1b</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">AABFHHictVxfc9u4EUeu/67uv1z72BdenXRynTS13eu005ubucRyHJ+dRIlkJ3dRkhElWmFCi4ooKn90+iqdfpO+dPrS6bRPnekH6Ez71K/QxS5AgBLIBd00HNsgiN/uYgksdhdgwkkSZ7OtrX9ceO9rX//GN7/1/rc3vvPd733/Bxc/+OFJlubTQXQ8SJN0+jDsZ1ESj6PjWTxLooeTadQ/C5PoQfhiVz5/MI+mWZyOu7M3k+jxWX80jk/jQX8GVU8v/vZSr73xabDRG8b90ZVFDykuptFw2ctby496h+UHYZJHy94cnmxcenpxc+vaFv4L1gvbqrAp1L92+sGH/xQ9MRSpGIhcnIlIjMUMyonoiwyuR2JbbIkJ1D0WC6ibQinG55FYig3A5tAqghZ9qH0Bv0dw90jVjuFe0swQPQAuCfxMARmIy4BJod0UypJbgM9zpCxrq2gvkKaU7Q38DRWtM6idiWdQy+F0S1+c7MtMnIrfYB9i6NMEa2TvBopKjlqRkgdWr2ZAYQJ1sjyE51MoDxCp9RwgJsO+S9328fm/sKWslfcD1TYX/0YpL8MViI7qfVpQ6Is50g/wbebwjORJgPMIKESqj7L0CnV9hr0fQ/sF1N+Ba4klrZMQrgXWLmuRu3C5kLssch8uF3KfRR7B5UIescg2XC5kWyEldoo6d+M7cLnwHZbzPbhcyHss8j5cLuR9FnkClwt5wiK/hMuF/JJF3oTLhbzJIg/hciEPWWQXLheyyyKP4XIhj1nkHlwu5J5CVs/UKVwp0omZWXkdymUe0lIkUHOdle8GWkcX9obHnB5UYPlZ3YK/bmzLQ6dRBXbPY9ydVmD5kbcPNtKN5W3RLVxNXNhbLPYARoAbe8BiPxfPK7Cfe8y0FxVYfq4dQTs3lre+t+HOjb3NYu9AyY3l16i7UOPG3vVYMSYV2DaLvSdeVmB9rP60Asvb/Q7YFTeWX6e60N6N9bGmeQWWt6cn4MG4sfxq9QBq3dgHLPaheF2BfchivwDr7sZ+4bHCvq3A6jV2A1eQEfojEczYOmr9YlbK0gSo9Rn+SbG2JOgbh1DPYUYFZoSYMxaxXyD2PRFHBeLIW66ssKMZ+rs8l06B6HgiwmJtkqUZ235YtJelxAPRKhCtFUSdRyrfte7LHL0LXcMhZ8XKJUs+fUoL+y1LkRoP9ZZXI+6WEDS2n+HIv4rRkoygpKbqqD0r1nhCBnhfh3iF0ZvupebB42aFVbBRr1lU6ECFLOqNA/WGReUOVM6i5g7UnEWZmW/jeh4jwOhfvosF3tEIIB+5+grAK7gOq84tmKMBjJ82eIH3seYu/O1g7M1ddZLJaF6ukzLL8bhkiadQWohNqDdRYQvj6wRnWASSUcu7KsaXdzK3sVBzjqzwsljJgyJj4k8nRnlGBR3pLQY4n5rROcSaJXp3VGqGv1XMe11qht9DjS/Ri6dSM/xMST87h+xdhe2eA9uB2TRR2jflpjQo/0I0dHkDV11pceVbPVNjRtJ73ZD+gXozB+d4L7tYIv2YcjMamdW/rNS/JjSMnjNLz82oSO+JvF5dChr3ZKziXlNuKkOKq+hYyWHumr4Z2Wao3owuN6PRBo9rF2PuhVVuOnonRW9MuRmNE0F5zyV68rrcjMYI70kfptyMhsy29FWcb8pNLbvUAMXOptzUqo8xCyxzQDTmqcZ4RVP0k3JFLUb/oD5bY/v86+uYzNk8KWKEekrGt62mExZrWb1E2l+IwKrNGsoh/Yvc8sHKNBZih42vSIZZaX1fp2PWeKn5I9BiALOf9gC4nHkCEuqchLTeCVDcZqOucs80bofFyVFyuoLqqdoZ6y0avpQ1Ktc9xVouLjO9NXrsob3OcOxN0Cc8Qs1yejiqfMNVFDkNHZU0xNNroru3ar6Wtb/F4iYriEkx0ga4I0Q7afVxqkvrHUvHl9Uuzwwu2vMx41dmm0+VtZExT4q2SMpSx9Nup/NIdp1cV68Kk+OmZwG+UWmv5mg1YtyRytgoVGeLyRtf4L2hfYx7cpIH0RjAewwUlYmgXTOZRZf59AAtqm1vOd5SXzpDR+UMra62x/XokYUeOdDNY5xdWDHuQKkLMcMx3HU9opyNQlcpanwqfl7sjqb4Busj+qRkITUNsjdRyULWRdnPSlReAVqOBorS/Wms0tH43holPup3yWNi17Llv4w7t3p/u49jvHo0V2dihsh1B7kGOGtoV5fuVjmQBAvnkx30X+t7Kfk14ShtKMf1icWZ9DLGHf8II9gJesYJzjZudpRb2/mp1SeaU1vovXO5m52ihQzQ/gWwPqU4JgP8sc8O6B10sggJ2kgfuxMX3o3L14nZMWb8uFjQqQYz3iK0ZTny13Tt2ZXhWKSIgdaB5crY1jo5Ql8wQq5TZd3N3K5ffSTSnJOwRwlRNGPlCvL/CH/rHz1ONtdGhNSwfAOZsnWu95FizCJ11MdVvt4G6ba2lJcKGZ4oqc36Z2S6VJKshRGXlEeu1kPgPMB74iVHyRTlztba0Dpal82VlCcrepS9PcUonuz+SK3AUu6ruEpu4pzr4SgZwSiYFVGEbstlkVf51vMqU/ejnf1fqBtdl7UmKQbCZHBJQ1x+P8JozZYygVFN4/cFzia31qcrrer5jHEsnllz+Suo/RB+a7n1vR+dsGQVbuAYIArmzmiEaoK1Fn68bpR46ZGpaZl7w8+MSd3KrjlPfE3WzcTY88ZU2jhqXqushS6fh8Zzi8ZzTx12ca/RaFHXa0v0lI0tumq30pdfE27dBpRzljLvkWlU7CGlHUv5UR2yVPkYX6PesrS2WFp9mK32boA9532Q7rm+Oru/Klb3QNxE32aAHhjFL0OcpTH6XLq2PlIjCpLzx8q+2rO/hzWSe4gWVFKmc5xyxtCu0wCvZSHpT9XKlqKdNxZBn1t6pdpoG9vD8i/XkGc4JzKclxrxMbaIlPy2HMGKRbpm+RwBZv776FOR31EfM9utzTsJSv6EiTdpVhleFCmMUf9c5u1gLXo9sOLXAGPCXHnXIdBq/oYlBcLoTILbs8zwDclVjnYSyKMN0X6u2ynaxRtbEl1DqRfiUw8bQ1GvGev22NI91n37GbSUWjdv3dWC55d4c+T4nWdHr4+r2pnyURcr9+ej1VerXPm+Tg/5Cl+jjxzb2JGFifLKmJ74xJsLSdSMC2F8uDTrRRP5m0neRGbanfKlrFtryuVMA9mYZxgvcedAJcLl3V1xenMfMf0I1+iFiLWpUQ1HSWbjUpUfsC2tzEoFKxGSXc+tSYm1HlWtF4aHvWoYO06WMkIrmAgud0Ot7T70StEKn40hCgNBJ3ur4kSb5idwyd+BcEWJmqNPDrEDfu51sSv23sGpiJeqTJnNAGukTRiuxOB91c9yi3odvbSo2/R9OPjziEHXnPQxrqhNZSfKvOQ2dX/6r9AaTEXESm9aNu+DzYXvyTqnJv2J0cLxvYmF/ianaV80B5+elLn486H9Da4Xp0J/29SsD5o634MyhyY89HkGv3duWjfnZXOq19c6F18etA7onReNkzuA1TGLaedjoabWG3n3HKR1OK2hrleL/7Ufmo/h1JyXL7cMvzl77vHWqV2kMrPSL24+Zww3n9FczdGfZ1r0znhNbn7k/wWN3lRq9ebd05d+qRkDmtdCUD6Ul47w9igy8vpSkfsDLhlS8R/xhwv8VwkvCxpVcjShpPcrqqnpFjw1/eWlq3f6mY9Mhk6VTGVqJp7o4MnYXXEgbsLPbuEBNj0lSt9U0l+JdX9HO4TaU7QeOptOGYQe1kWYBTG7aUO8N+doqySWZ3rpjG8XauSe+BHWyvO+d7C9PPPbLfWt+ksSmuu3RSqGpchkdZfPzKsQelDegaNckP7eN8Az9ZTNohNoZx57jHSOiiIl/fXzAhFDjAtXJV0gQo+WOsqhk3KIZ5KiCtphqW8DHOETtdMv9x3k+fx+kV0KxC+wrq9WB7lSc1K1HVI9wsxAiPrfggjtV+Iq/L2qym5J22uSZvgOyhK9tp7VnwRbOseF+ZrxMubBdKZurtqlGNWb3cP6TGyrkgudeK/Hj2rwI0vKDr6tFxh3T0V97jCvoZkrmez93LHQeU/Sg4xm+8X4qI+f5zW85h79P6xEH1qS7oMsIWbbA9zPmyK9ROlmD6Wnc5X1edtbNdLqrzaJpjlZacaBPiNZvyeQqHFXPfvpHCSXq4kq6NhznU5kcqdFYiclfn5OPE5D9D16y/fVp6cclZyVJPf4EnnuIcvcg84pI80pS2HESqLsw9OLm9ur/9fHeuFk59r21rXtezubn91Q/w/I++LH4ifiCqx9vxafwfhvi2Pg9HvxJ/FX8bfW71p/bP259Rdq+t4FhfmRKP1r/f2/HzBWQw==</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">AABFHHictVxfc9u4EUeu/67uv1z72BdenXRynTS13eu005ubucRyHJ+dRIlkJ3dRkhElWmFCi4ooKn90+iqdfpO+dPrS6bRPnekH6Ez71K/QxS5AgBLIBd00HNsgiN/uYgksdhdgwkkSZ7OtrX9ceO9rX//GN7/1/rc3vvPd733/Bxc/+OFJlubTQXQ8SJN0+jDsZ1ESj6PjWTxLooeTadQ/C5PoQfhiVz5/MI+mWZyOu7M3k+jxWX80jk/jQX8GVU8v/vZSr73xabDRG8b90ZVFDykuptFw2ctby496h+UHYZJHy94cnmxcenpxc+vaFv4L1gvbqrAp1L92+sGH/xQ9MRSpGIhcnIlIjMUMyonoiwyuR2JbbIkJ1D0WC6ibQinG55FYig3A5tAqghZ9qH0Bv0dw90jVjuFe0swQPQAuCfxMARmIy4BJod0UypJbgM9zpCxrq2gvkKaU7Q38DRWtM6idiWdQy+F0S1+c7MtMnIrfYB9i6NMEa2TvBopKjlqRkgdWr2ZAYQJ1sjyE51MoDxCp9RwgJsO+S9328fm/sKWslfcD1TYX/0YpL8MViI7qfVpQ6Is50g/wbebwjORJgPMIKESqj7L0CnV9hr0fQ/sF1N+Ba4klrZMQrgXWLmuRu3C5kLssch8uF3KfRR7B5UIescg2XC5kWyEldoo6d+M7cLnwHZbzPbhcyHss8j5cLuR9FnkClwt5wiK/hMuF/JJF3oTLhbzJIg/hciEPWWQXLheyyyKP4XIhj1nkHlwu5J5CVs/UKVwp0omZWXkdymUe0lIkUHOdle8GWkcX9obHnB5UYPlZ3YK/bmzLQ6dRBXbPY9ydVmD5kbcPNtKN5W3RLVxNXNhbLPYARoAbe8BiPxfPK7Cfe8y0FxVYfq4dQTs3lre+t+HOjb3NYu9AyY3l16i7UOPG3vVYMSYV2DaLvSdeVmB9rP60Asvb/Q7YFTeWX6e60N6N9bGmeQWWt6cn4MG4sfxq9QBq3dgHLPaheF2BfchivwDr7sZ+4bHCvq3A6jV2A1eQEfojEczYOmr9YlbK0gSo9Rn+SbG2JOgbh1DPYUYFZoSYMxaxXyD2PRFHBeLIW66ssKMZ+rs8l06B6HgiwmJtkqUZ235YtJelxAPRKhCtFUSdRyrfte7LHL0LXcMhZ8XKJUs+fUoL+y1LkRoP9ZZXI+6WEDS2n+HIv4rRkoygpKbqqD0r1nhCBnhfh3iF0ZvupebB42aFVbBRr1lU6ECFLOqNA/WGReUOVM6i5g7UnEWZmW/jeh4jwOhfvosF3tEIIB+5+grAK7gOq84tmKMBjJ82eIH3seYu/O1g7M1ddZLJaF6ukzLL8bhkiadQWohNqDdRYQvj6wRnWASSUcu7KsaXdzK3sVBzjqzwsljJgyJj4k8nRnlGBR3pLQY4n5rROcSaJXp3VGqGv1XMe11qht9DjS/Ri6dSM/xMST87h+xdhe2eA9uB2TRR2jflpjQo/0I0dHkDV11pceVbPVNjRtJ73ZD+gXozB+d4L7tYIv2YcjMamdW/rNS/JjSMnjNLz82oSO+JvF5dChr3ZKziXlNuKkOKq+hYyWHumr4Z2Wao3owuN6PRBo9rF2PuhVVuOnonRW9MuRmNE0F5zyV68rrcjMYI70kfptyMhsy29FWcb8pNLbvUAMXOptzUqo8xCyxzQDTmqcZ4RVP0k3JFLUb/oD5bY/v86+uYzNk8KWKEekrGt62mExZrWb1E2l+IwKrNGsoh/Yvc8sHKNBZih42vSIZZaX1fp2PWeKn5I9BiALOf9gC4nHkCEuqchLTeCVDcZqOucs80bofFyVFyuoLqqdoZ6y0avpQ1Ktc9xVouLjO9NXrsob3OcOxN0Cc8Qs1yejiqfMNVFDkNHZU0xNNroru3ar6Wtb/F4iYriEkx0ga4I0Q7afVxqkvrHUvHl9Uuzwwu2vMx41dmm0+VtZExT4q2SMpSx9Nup/NIdp1cV68Kk+OmZwG+UWmv5mg1YtyRytgoVGeLyRtf4L2hfYx7cpIH0RjAewwUlYmgXTOZRZf59AAtqm1vOd5SXzpDR+UMra62x/XokYUeOdDNY5xdWDHuQKkLMcMx3HU9opyNQlcpanwqfl7sjqb4Busj+qRkITUNsjdRyULWRdnPSlReAVqOBorS/Wms0tH43holPup3yWNi17Llv4w7t3p/u49jvHo0V2dihsh1B7kGOGtoV5fuVjmQBAvnkx30X+t7Kfk14ShtKMf1icWZ9DLGHf8II9gJesYJzjZudpRb2/mp1SeaU1vovXO5m52ihQzQ/gWwPqU4JgP8sc8O6B10sggJ2kgfuxMX3o3L14nZMWb8uFjQqQYz3iK0ZTny13Tt2ZXhWKSIgdaB5crY1jo5Ql8wQq5TZd3N3K5ffSTSnJOwRwlRNGPlCvL/CH/rHz1ONtdGhNSwfAOZsnWu95FizCJ11MdVvt4G6ba2lJcKGZ4oqc36Z2S6VJKshRGXlEeu1kPgPMB74iVHyRTlztba0Dpal82VlCcrepS9PcUonuz+SK3AUu6ruEpu4pzr4SgZwSiYFVGEbstlkVf51vMqU/ejnf1fqBtdl7UmKQbCZHBJQ1x+P8JozZYygVFN4/cFzia31qcrrer5jHEsnllz+Suo/RB+a7n1vR+dsGQVbuAYIArmzmiEaoK1Fn68bpR46ZGpaZl7w8+MSd3KrjlPfE3WzcTY88ZU2jhqXqushS6fh8Zzi8ZzTx12ca/RaFHXa0v0lI0tumq30pdfE27dBpRzljLvkWlU7CGlHUv5UR2yVPkYX6PesrS2WFp9mK32boA9532Q7rm+Oru/Klb3QNxE32aAHhjFL0OcpTH6XLq2PlIjCpLzx8q+2rO/hzWSe4gWVFKmc5xyxtCu0wCvZSHpT9XKlqKdNxZBn1t6pdpoG9vD8i/XkGc4JzKclxrxMbaIlPy2HMGKRbpm+RwBZv776FOR31EfM9utzTsJSv6EiTdpVhleFCmMUf9c5u1gLXo9sOLXAGPCXHnXIdBq/oYlBcLoTILbs8zwDclVjnYSyKMN0X6u2ynaxRtbEl1DqRfiUw8bQ1GvGev22NI91n37GbSUWjdv3dWC55d4c+T4nWdHr4+r2pnyURcr9+ej1VerXPm+Tg/5Cl+jjxzb2JGFifLKmJ74xJsLSdSMC2F8uDTrRRP5m0neRGbanfKlrFtryuVMA9mYZxgvcedAJcLl3V1xenMfMf0I1+iFiLWpUQ1HSWbjUpUfsC2tzEoFKxGSXc+tSYm1HlWtF4aHvWoYO06WMkIrmAgud0Ot7T70StEKn40hCgNBJ3ur4kSb5idwyd+BcEWJmqNPDrEDfu51sSv23sGpiJeqTJnNAGukTRiuxOB91c9yi3odvbSo2/R9OPjziEHXnPQxrqhNZSfKvOQ2dX/6r9AaTEXESm9aNu+DzYXvyTqnJv2J0cLxvYmF/ianaV80B5+elLn486H9Da4Xp0J/29SsD5o634MyhyY89HkGv3duWjfnZXOq19c6F18etA7onReNkzuA1TGLaedjoabWG3n3HKR1OK2hrleL/7Ufmo/h1JyXL7cMvzl77vHWqV2kMrPSL24+Zww3n9FczdGfZ1r0znhNbn7k/wWN3lRq9ebd05d+qRkDmtdCUD6Ul47w9igy8vpSkfsDLhlS8R/xhwv8VwkvCxpVcjShpPcrqqnpFjw1/eWlq3f6mY9Mhk6VTGVqJp7o4MnYXXEgbsLPbuEBNj0lSt9U0l+JdX9HO4TaU7QeOptOGYQe1kWYBTG7aUO8N+doqySWZ3rpjG8XauSe+BHWyvO+d7C9PPPbLfWt+ksSmuu3RSqGpchkdZfPzKsQelDegaNckP7eN8Az9ZTNohNoZx57jHSOiiIl/fXzAhFDjAtXJV0gQo+WOsqhk3KIZ5KiCtphqW8DHOETtdMv9x3k+fx+kV0KxC+wrq9WB7lSc1K1HVI9wsxAiPrfggjtV+Iq/L2qym5J22uSZvgOyhK9tp7VnwRbOseF+ZrxMubBdKZurtqlGNWb3cP6TGyrkgudeK/Hj2rwI0vKDr6tFxh3T0V97jCvoZkrmez93LHQeU/Sg4xm+8X4qI+f5zW85h79P6xEH1qS7oMsIWbbA9zPmyK9ROlmD6Wnc5X1edtbNdLqrzaJpjlZacaBPiNZvyeQqHFXPfvpHCSXq4kq6NhznU5kcqdFYiclfn5OPE5D9D16y/fVp6cclZyVJPf4EnnuIcvcg84pI80pS2HESqLsw9OLm9ur/9fHeuFk59r21rXtezubn91Q/w/I++LH4ifiCqx9vxafwfhvi2Pg9HvxJ/FX8bfW71p/bP259Rdq+t4FhfmRKP1r/f2/HzBWQw==</latexit> =) <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="0h78JjXFym7avQJT/Y7NxpEtnC0=">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</latexit> a = P1 = diag(u)(Kv) = u (Kv)
  17. Sinkhorn’s Algorithm Proposition: <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit

    sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">AABB1nictVzbchu5EYU3l107N29SecrLJFqnvFuOV1a2KpetVK0sybLWtE2blC+7tF28jGjaQw7NIWXZXFWeUnnNL+Q1+Yh8R/4gecovpC/AAENipjGKY5QkDIjT3egBGt0N0L1pMsrmm5v/PPfet779ne++/8H5C9/7/g9++KOLH/74QZYuZv34sJ8m6exRr5vFyWgSH85H8yR+NJ3F3XEviR/2Xu7g5w+P41k2Sift+Ztp/GTcHU5GR6N+dw5Nzy7+tDOPTwC3bM7SaZqNsPX3p88ubmxe3aR/0Xrlmq5sKP2vmX4YHaqOGqhU9dVCjVWsJmoO9UR1VQbla3VNbaoptD1RS2ibQW1En8fqVF0A7AJ6xdCjC60v4fcQnr7WrRN4RpoZofvAJYGfGSAjdQkwKfSbQR25RfT5gihjaxntJdFE2d7A356mNYbWuXoOrRLO9AzF4Vjm6kj9lsYwgjFNqQVH19dUFqQVlDxyRjUHClNow/oAPp9BvU9Io+eIMBmNHXXbpc//RT2xFZ/7uu9C/ZukvAQlUi09+jSn0FXHRD+it7mAz1ieBDgPgUKsx4i116TrMY1+Av2X0H4HyinVjE56UJbUelqJ3IHiQ+6IyH0oPuS+iGxA8SEbIrIJxYdsaiRiZ6RzP74FxYdviZzvQfEh74nI+1B8yPsi8gEUH/KBiPwKig/5lYi8AcWHvCEib0HxIW+JyDYUH7ItIg+h+JCHInIPig+5p5HlK3UGJSU6I2FVbkO9yAMtRQIt26J818k6+rDXA9Z0vwQrr+pd+OvH7gboNC7B7gXMu6MSrDzz9sFG+rGyLbpJu4kPe1PEHsAM8GMPROyX6kUJ9suAlfayBCuvtQb082Nl63sbnvzY2yL2DtT8WHmPugstfuzdgB1jWoJtith76lUJNsTqz0qwst1vgV3xY+V9qg39/dgQa7oowcr29AF4MH6svFs9hFY/9qGIfaROSrCPROxjsO5+7OOAHfZtCdbssRdoBxmSPxLDiq2i1s1XJdamQK0r8E/yvSUh37gH7RJmmGOGhBmLiP0csR+IaOSIRrBcWW5HM/J3ZS6tHNEKRPTyvQlrc7H/IO+PtSQAsZsjdlcQVR4pvmszlmPyLkyLhJznOxfWQsaU5vYba7GeD9WW1yDuFhA8t5/TzL9C0RJGUKipKmrP8z2ekRE9VyFeU/RmRml4yLh5bhVc1ImI6nlQPRH1xoN6I6IWHtRCRB17UMciyq58F9cJmAFW//gulvTEM4B95PISgVewDbvOTVijEcyfJniB96nlLvxtUewtlSrJMJrHfRKzHE8KlngGtaXagHYbFe5SfJ3QCotBMu55V8f4+IS5jaVec2yFT/OdPMozJuF0RiTPMKeD3mJE66kenVvUckreHdfq4W/m697U6uH3SOOn5MVzrR5+rqWfn0H2tsa2z4BtwWqaau3bel0anH9hGqZ+gXZdtLj4Vsd6ziC9k5r0D/SbOTjDe9mhGuvH1uvRyJzxZYXx1aFh9Zw5eq5HBb0n9npNLao9komOe229rgwp7aITLYd9qvtmsM9AvxlTr0ejCR7XDsXcS6ded/ZO89HYej0aDxTnPU/Jkzf1ejSG9Mz6sPV6NDDb0tVxvq3XteyoAY6dbb2uVZ9QFhhzQDznucV6RTPykxaa2oj8g+psjevzr+9jmLN5mscI1ZSsb1tOp5fvZdUSGX8hBqs2rykH+hcLxwcr0liqLTG+Yhnmhf19nY7d41HzDdBiBKufzwCknHkCEpqcBFrvBCheE6Ou4sgMbkvE4Sw5WkF1dOtc9BYtX84aFdueUasUl9nRWj12yF5nNPem5BM2SLOSHhqlb7iMoqShRkFDMr06unur12tR+5sibrqCmOYzrU8nQnySVh2n+rTecnR8SZ/yzKHwmY+dv5htPtLWBmOelGwRylLF0+1n8khuG+6rV5TNcfNnEb1RtFfHZDVGdCKViVGoyRazN76kZ0v7kM7kkAfT6MN7jDSVqeJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj100EMPun6MswM7xh2otSFmOISndkCUcyHXVUoan6lf5aejKb3B6og+KVhIQ4PtTVywkFVR9vMCldeAxtnAUXo4jVU6Bt9ZoyRH/T55bOxatPyX6OTWnG93aY6Xz+byTMyAuG4R14hWDZ/q8tMqB5Zg6f1ki/zX6lEivzoc0YZKXJ86nFkvEzrxjymCnZJnnNBqk1ZHsbebn1r9xHBqKnN2jqfZKVnIiOxfBPtTSnMyoh/37oA5QWeLkJCNDLE7o9y78fk6I3GOWT9upPhWg51vMdmyBfE3dN3VldFc5IiB94HTlbltdNIgXzAmrjNt3e3art59EGnvSbizhCnauXKZ+H9Mv82PmScbazMCNYxvINO2zvc+UopZUEdd2uWrbZDp60r5US7DUy213f+sTB8VJNuliAvlwd16AJz79My8cJbMSO5srQ/vo1XZXKQ8XdEjjvaIoni2+0O9A6PcV2iX3KA116FZMoRZMM+jCNNXyiKv8q3mVaQeRjv7v1C3ui5qDSlGymZwWUNSfj+maM2VMoFZzfP3Ja0mv9ZnK72q+UxoLo6dtfwNtP4cfhu5zXMYnV7BKlynOcAU7JPVCLdEaz3CeF0v8DIz09Cyz5afnZOml9tylviarZuNsY9rU2nSrDnRWQtTPwuNFw6NF4E6bNNZo9WiaTeW6JkYW7T1aWUovzrc2jUoL0TKskdmUKMAKd1YKozqQKQqx/gG9VaktSnS6sJqdU8D3DUfgvSv9dXV/U2+u0fqBvk2ffLAOH4Z0Codkc9lWqsjNaaAnD/T9tVd/R1qQe49sqBIme9x4orhU6c+ldNc0l/qnS0lO28tgrm39Fr3MTa2Q/VfryHHtCYyWpcG8Rn1iLX8rhzRikW66vgcEWX+u+RTsd9RHTO7ve07iQr+hI03eVVZXhwpTEj/UubtYC16PXDi14hiwoX2rntAq/4bRgqMMZkEv2eZ0RvCXY5PEtij7ZH9XLdTfIo3cSS6SlIv1R8CbAxHvXauu3PLjNiM7RPoiVq3b93XQ+aXBHOU+J3lRK9Lu9pY+6jLleez0erqXa74XKWHxQpfq48F9XEjCxvlFTEd9XkwF5aoHhfGhHCpN4o68teTvI7MfDoVStn0NpSLmQa2Mc8pXpLugSLC591d9npzHwvj6K3R6xHWpcYtEiXMxqU6P+BaWsxKnV/bh7j1fOVulDg7UdlOYai7u4W132whY7J+iZJyNtzblb1TiFLkLAxT6Cu+0VsWH7o0P4eCvyPliw4Nx5DcYQv82221o/bewW2IV7rOGc2IWtAWDFZi764eZ7FHtY5eOdRd+iEcwnmMQNeS9CPaSevKzpRlyV3q4fRfkxWYqViU3vasPwaXizySdU51xjMiyyaPZqTMd3HqjsVwCBlJkUs4Hz7XkEZxpMx3muqNwVCXR1DkUIeHuccQ9s5t7/q8XE7V+lrnEsqDdwFz4mJwePJXHqvYfiEWaua8kXfPAa3DUQV1s1v8r+MwfCyn+rxCuWX0XbMXAW+d+8U6I4v+cP01Y7mFzOZyjuE803x01lvy82O/L6r1plJnNO+ePvqjdg4YXkvFeVBZOsa7s8jKG0oFzwV8MqTqP+of5+RvI7zKaZTJUYeSOacop2Z6yNTMNy59ozOfhchk6ZTJVKRm44gW3YjdUQfqBvzs5B5g3duh/F1K/otY//dnB9B6RNbDZNE5c9ChtpiyH/YUbUDP9v5smcR4l5fv9rahBc/CG9SK93zvUH+869sujK38GyS81m+rVA0KEcnq6Z5dVz0YQfHkjXNA5nu+Ed2l5ywW3zwbB5wtmvtTqxIt6RP5ZkGvFN9zpOzTXJ3qs3o8OcAb9t08PxSpT6mtq+087rkS52Yp5+YK54y0U+Rw4nxWfTerjMuOw2WQ586Odb+U4mx7nledG90t5cJ30Kvxwwr80JGyRdp/SZHwTFVn8xYVNBdaJveEdaJMJpL1gHFmN3/f1ZHtcQWv44Dx3ypF33Ik3QdZepT/juiEbUb0Eq2bPZKebzpWZ1JvVkirv0f57OLGtdX/y2C9crh19XdXr93b2vjiuv5vDj5QP1O/UJdhif9GfQHEmuqQDr3/qv6m/r79ePuP23/a/jN3fe+cxvxEFf5t/+W/mrqpxQ==</latexit> u (Kv) = a <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">AABELnictVxbbxu5FWa2t016y7YvBfoyW2+KbJGmdhqgBRYLbCI7jtdO4kSyk91VEugyUpSMNYpGUi5at3+mry36D/ovCvSh6Ov2qX+h50IOORJnDsdNQ9jmUPzOOTxDHp5zSKU7SUbZbHPzH+fe+9a3v/Pd771//sL3f/DDH/344gc/Oc7S+bQXH/XSJJ0+6nayOBmN46PZaJbEjybTuHPSTeKH3RcN/PzhIp5mo3Tcmr2ZxI9POsPxaDDqdWbQ9PTiz9rzRtRO++ksutzej9qLxsfRp1G703h6cWPz6ib9i9YrW7qyofS/w/SDD/+o2qqvUtVTc3WiYjVWM6gnqqMyKF+pLbWpJtD2WC2hbQq1EX0eq1N1AbBz6BVDjw60voDfQ3j6SreO4RlpZoTuAZcEfqaAjNQlwKTQbwp15BbR53OijK1ltJdEE2V7A3+7mtYJtM7UM2iVcKZnKA7HMlMD9XsawwjGNKEWHF1PU5mTVlDyyBnVDChMoA3rffh8CvUeIY2eI8JkNHbUbYc+/4Z6Yis+93Tfufo3SXkJSqSaevRpTqGjFkQ/orc5h89YngQ4D4FCrMeItVek6xMa/Rj6L6H9LpRTqhmddKEsqfW0EtmA4kM2ROQuFB9yV0QeQPEhD0TkIRQf8lAjETslnfvxTSg+fFPkfB+KD3lfRD6A4kM+EJHHUHzIYxH5JRQf8ksReQuKD3lLRO5D8SH3RWQLig/ZEpFHUHzIIxG5A8WH3NHI8pU6hZISnZGwKm9AvcgDLUUCLTdE+W6SdfRhbwas6V4JVl7V2/DXj90O0Glcgt0JmHeDEqw883bBRvqxsi26TbuJD3tbxO7BDPBj90Ts5+p5CfbzgJX2ogQrr7UD6OfHytb3Djz5sXdE7F2o+bHyHnUPWvzYewE7xqQEeyhi76uXJdgQqz8twcp2vwl2xY+V96kW9PdjQ6zpvAQr29Nj8GD8WHm3egitfuxDEftIvS7BPhKxX4B192O/CNhh35ZgzR57gXaQIfkjMazYKmqdfFVibQLUOgL/JN9bEvKNu9AuYYY5ZkiYExGxmyN2AxEHOeIgWK4st6MZ+bsyl2aOaAYiuvnehLWZ2L+f98daEoDYzhHbK4gqjxTftRnLgrwL0yIhZ/nOhbWQMaW5/cZarOdDteU1iHsFBM/tZzTzr1C0hBEUaqqK2rN8j2dkRM9ViFcUvZlRGh4ybpZbBRf1WkR1PaiuiHrjQb0RUXMPai6iFh7UQkTZle/i2gEzwOof38WSnngGsI9cXiLwCm7ArnMb1mgE8+cQvMAH1HIP/jYp9pZKlWQYzeM+iVmOxwVLPIXaUm1Au40Ktym+TmiFxSAZ97ynY3x8wtzGUq85tsKn+U4e5RmTcDojkmeY00FvMaL1VI/OPrWcknfHtXr42/m6N7V6+B3S+Cl58Vyrh59p6WdnkL2lsa0zYJuwmiZa+7ZelwbnX5iGqV+gXRctLr7VEz1nkN7rmvT39JvZO8N7aVCN9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JWMe9tl5XhpR20bGWwz7VfTPYp6/fjKnXo3EIHleDYu6lU687eyf5aGy9Ho1jxXnPU/LkTb0ejSE9sz5svR4NzLZ0dJxv63UtO2qAY2dbr2vVx5QFxhwQz3lusV7RlPykuaY2Iv+gOlvj+vzr+xjmbJ7kMUI1JevbltPp5ntZtUTGX4jBqs1qyoH+xdzxwYo0luqaGF+xDLPC/r5Ox+7xqPkD0GIEq5/PAKSceQISmpwEWu8EKG6JUVdxZAZ3TcThLBmsoNq6dSZ6i5YvZ42KbU+pVYrL7GitHttkrzOaexPyCQ9Is5IeDkrfcBlFSUMHBQ3J9Oro7q1er0Xtb4q4yQpiks+0Hp0I8UladZzq03rT0fElfcozg8JnPnb+YrZ5oK0Nxjwp2SKUpYqn28/kkdw23FevKJvj5s8ieqNorxZkNUZ0IpWJUajJFrM3vqRnS/uIzuSQB9PowXuMNJWJ4lMzzKJjPj0ii+raW4k36stk6LiekdU19rgaPXTQQw+6fozTgB3jLtRaEDMcwVMrIMq5kOsqJY1P1a/z09GU3mB1RJ8ULKShwfYmLljIqij7WYHKK0DjbOAoPZzGKh2Db69RkqN+nzw2di1a/kt0cmvOtzs0x8tnc3kmpk9crxHXiFYNn+ry0yoHlmDp/eQa+a/Vo0R+dTiiDZW4PnE4s17GdOIfUwQ7Ic84odUmrY5ibzc/tfqJ4XSozNk5nmanZCEjsn8R7E8pzcmIfty7A+YEnS1CQjYyxO6Mcu/G5+uMxDlm/biR4lsNdr7FZMvmxN/QdVdXRnORIwbeB05X5rbRyQH5gjFxnWrrbtd29e6DSHtPwp0lTNHOlcvE/2P6bX7MPNlYmxGoYXwDmbZ1vveRUsyCOurQLl9tg0xfV8qPchmeaKnt/mdl+qgg2TZFXCgP7tZ94NyjZ+aFs2RKcmdrfXgfrcrmIuXJih5xtAOK4tnuD/UOjHJfoV1yg9Zcm2bJEGbBLI8iTF8pi7zKt5pXkXoY7ez/Qt3quqg1pBgpm8FlDUn5/ZiiNVfKBGY1z98XtJr8Wp+u9KrmM6a5eOKs5a+h9UP4beQ2z2F0ugWrcJPmAFOwT1Yj3BKt9QjjdbPAy8xMQ8s+W352TppebstZ4mu2bjbGXtSmckiz5rXOWpj6WWg8d2g8D9Rhi84arRZNu7FET8XYoqVPK0P51eHWqkF5LlKWPTKDGgVI6cZSYVT7IlU5xjeotyKtTZFWB1arexrgrvkQpH+tr67ur/PdPVK3yLfpkQfG8UufVumIfC7TWh2pMQXkfF3bV3f1t6kFuXfJgiJlvseJK4ZPnXpUTnNJf6l3tpTsvLUI5t7SK93H2Ng21X+7hjyhNZHRujSI69Qj1vK7ckQrFumq43NElPnvkE/Ffkd1zOz2tu8kKvgTNt7kVWV5caQwJv1Lmbe9teh1z4lfI4oJ59q77gKt+m8YKTDGZBL8nmVGbwh3OT5JYI+2S/Zz3U7xKd7YkegqSb1UnwbYGI567Vx355YZsRnbr6Anat2+dV8PmV8SzFHid5YTvQ7taifaR12uPJ+NVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrT4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUbxknQPFBE+7+6y15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq/No+xK3nK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5CRT8HSlfdGg4huQOm+Df3lANtfMObkO81HXOaEbUgragvxJ7d/Q4iz2qdfTSoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+KrMBUxaL0tmf9Mbhc5JGsc6oznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIqBMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j0HtA6DCupmt/hfx2H4WE71eYVyy+i7Zs8D3jr3i3VGFv3h+mvGcguZzeUcw3mm+eist+Tnx35fVOtNpc5o3j199EftHDC8lorzoLJ0jHdnkZU3lAqeC/hkSNV/1N/Oyd9GeJnTKJOjDiVzTlFOzfSQqZlvXPpGZz4LkcnSKZOpSM3GEU26EdtQe+oW/DRyD7Du7VD+LiX/Raz/+7N9aB2Q9TBZdM4ctKktpuyHPUXr07O9P1smMd7l5bu9LWjBs/ADasV7vnepP971bRXGVv4NEl7rd1Sq+oWIZPV0z66rLoygePLGOSDzPd+I7tJzFotvnp0EnC2a+1OrEi3pE/lmQbcU33Wk7NFcneizejw5wBv2nTw/FKnfUFtH23nccyXOh6WcD1c4Z6SdIofXzmfVd7PKuDQcLv08d7bQ/VKKs+15XnVudLuUC99Br8YPK/BDR8omaf8FRcJTVZ3Nm1fQnGuZ3BPWsTKZSNYDxpmd/H1XR7aLCl6LgPHvl6L3HUl3QZYu5b8jOmGbEr1E62aHpOebjtWZ1NsV0prvUTJNe9fRzgNza7E6S5/oeceZC/O/ESxpPeBuam4mStmTuIROl24ExkSJ70hK5wayPLI0IbJIVOaiJPOAb+8uAmRZBNAZCNIMRApDURK9gp9e3Nha/f8x1ivH165ubV7dun9947Ob+v/OeF/9XP1CXYZ943fqM5ihh+oIOP1B/Un9Wf2l8dfG3xv/bPyLu753TmN+qgr/Gt/8FxIsIkM=</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="0tr66ho5RmqbHjRupaTbkUYSLws=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="xdldN1QwoU6g0JBlxgDQggJNTnU=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">AABELnictVxbbxu5FWa2t016y7YvBfoyW2+KbJGmdhqgBRYLbCI7jtdO4kSyk91VEugyUpSMNYpGUi5at3+mry36D/ovCvSh6Ov2qX+h50IOORJnDsdNQ9jmUPzOOTxDHp5zSKU7SUbZbHPzH+fe+9a3v/Pd771//sL3f/DDH/344gc/Oc7S+bQXH/XSJJ0+6nayOBmN46PZaJbEjybTuHPSTeKH3RcN/PzhIp5mo3Tcmr2ZxI9POsPxaDDqdWbQ9PTiz9rzRtRO++ksutzej9qLxsfRp1G703h6cWPz6ib9i9YrW7qyofS/w/SDD/+o2qqvUtVTc3WiYjVWM6gnqqMyKF+pLbWpJtD2WC2hbQq1EX0eq1N1AbBz6BVDjw60voDfQ3j6SreO4RlpZoTuAZcEfqaAjNQlwKTQbwp15BbR53OijK1ltJdEE2V7A3+7mtYJtM7UM2iVcKZnKA7HMlMD9XsawwjGNKEWHF1PU5mTVlDyyBnVDChMoA3rffh8CvUeIY2eI8JkNHbUbYc+/4Z6Yis+93Tfufo3SXkJSqSaevRpTqGjFkQ/orc5h89YngQ4D4FCrMeItVek6xMa/Rj6L6H9LpRTqhmddKEsqfW0EtmA4kM2ROQuFB9yV0QeQPEhD0TkIRQf8lAjETslnfvxTSg+fFPkfB+KD3lfRD6A4kM+EJHHUHzIYxH5JRQf8ksReQuKD3lLRO5D8SH3RWQLig/ZEpFHUHzIIxG5A8WH3NHI8pU6hZISnZGwKm9AvcgDLUUCLTdE+W6SdfRhbwas6V4JVl7V2/DXj90O0Glcgt0JmHeDEqw883bBRvqxsi26TbuJD3tbxO7BDPBj90Ts5+p5CfbzgJX2ogQrr7UD6OfHytb3Djz5sXdE7F2o+bHyHnUPWvzYewE7xqQEeyhi76uXJdgQqz8twcp2vwl2xY+V96kW9PdjQ6zpvAQr29Nj8GD8WHm3egitfuxDEftIvS7BPhKxX4B192O/CNhh35ZgzR57gXaQIfkjMazYKmqdfFVibQLUOgL/JN9bEvKNu9AuYYY5ZkiYExGxmyN2AxEHOeIgWK4st6MZ+bsyl2aOaAYiuvnehLWZ2L+f98daEoDYzhHbK4gqjxTftRnLgrwL0yIhZ/nOhbWQMaW5/cZarOdDteU1iHsFBM/tZzTzr1C0hBEUaqqK2rN8j2dkRM9ViFcUvZlRGh4ybpZbBRf1WkR1PaiuiHrjQb0RUXMPai6iFh7UQkTZle/i2gEzwOof38WSnngGsI9cXiLwCm7ArnMb1mgE8+cQvMAH1HIP/jYp9pZKlWQYzeM+iVmOxwVLPIXaUm1Au40Ktym+TmiFxSAZ97ynY3x8wtzGUq85tsKn+U4e5RmTcDojkmeY00FvMaL1VI/OPrWcknfHtXr42/m6N7V6+B3S+Cl58Vyrh59p6WdnkL2lsa0zYJuwmiZa+7ZelwbnX5iGqV+gXRctLr7VEz1nkN7rmvT39JvZO8N7aVCN9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JWMe9tl5XhpR20bGWwz7VfTPYp6/fjKnXo3EIHleDYu6lU687eyf5aGy9Ho1jxXnPU/LkTb0ejSE9sz5svR4NzLZ0dJxv63UtO2qAY2dbr2vVx5QFxhwQz3lusV7RlPykuaY2Iv+gOlvj+vzr+xjmbJ7kMUI1JevbltPp5ntZtUTGX4jBqs1qyoH+xdzxwYo0luqaGF+xDLPC/r5Ox+7xqPkD0GIEq5/PAKSceQISmpwEWu8EKG6JUVdxZAZ3TcThLBmsoNq6dSZ6i5YvZ42KbU+pVYrL7GitHttkrzOaexPyCQ9Is5IeDkrfcBlFSUMHBQ3J9Oro7q1er0Xtb4q4yQpiks+0Hp0I8UladZzq03rT0fElfcozg8JnPnb+YrZ5oK0Nxjwp2SKUpYqn28/kkdw23FevKJvj5s8ieqNorxZkNUZ0IpWJUajJFrM3vqRnS/uIzuSQB9PowXuMNJWJ4lMzzKJjPj0ii+raW4k36stk6LiekdU19rgaPXTQQw+6fozTgB3jLtRaEDMcwVMrIMq5kOsqJY1P1a/z09GU3mB1RJ8ULKShwfYmLljIqij7WYHKK0DjbOAoPZzGKh2Db69RkqN+nzw2di1a/kt0cmvOtzs0x8tnc3kmpk9crxHXiFYNn+ry0yoHlmDp/eQa+a/Vo0R+dTiiDZW4PnE4s17GdOIfUwQ7Ic84odUmrY5ibzc/tfqJ4XSozNk5nmanZCEjsn8R7E8pzcmIfty7A+YEnS1CQjYyxO6Mcu/G5+uMxDlm/biR4lsNdr7FZMvmxN/QdVdXRnORIwbeB05X5rbRyQH5gjFxnWrrbtd29e6DSHtPwp0lTNHOlcvE/2P6bX7MPNlYmxGoYXwDmbZ1vveRUsyCOurQLl9tg0xfV8qPchmeaKnt/mdl+qgg2TZFXCgP7tZ94NyjZ+aFs2RKcmdrfXgfrcrmIuXJih5xtAOK4tnuD/UOjHJfoV1yg9Zcm2bJEGbBLI8iTF8pi7zKt5pXkXoY7ez/Qt3quqg1pBgpm8FlDUn5/ZiiNVfKBGY1z98XtJr8Wp+u9KrmM6a5eOKs5a+h9UP4beQ2z2F0ugWrcJPmAFOwT1Yj3BKt9QjjdbPAy8xMQ8s+W352TppebstZ4mu2bjbGXtSmckiz5rXOWpj6WWg8d2g8D9Rhi84arRZNu7FET8XYoqVPK0P51eHWqkF5LlKWPTKDGgVI6cZSYVT7IlU5xjeotyKtTZFWB1arexrgrvkQpH+tr67ur/PdPVK3yLfpkQfG8UufVumIfC7TWh2pMQXkfF3bV3f1t6kFuXfJgiJlvseJK4ZPnXpUTnNJf6l3tpTsvLUI5t7SK93H2Ng21X+7hjyhNZHRujSI69Qj1vK7ckQrFumq43NElPnvkE/Ffkd1zOz2tu8kKvgTNt7kVWV5caQwJv1Lmbe9teh1z4lfI4oJ59q77gKt+m8YKTDGZBL8nmVGbwh3OT5JYI+2S/Zz3U7xKd7YkegqSb1UnwbYGI567Vx355YZsRnbr6Anat2+dV8PmV8SzFHid5YTvQ7taifaR12uPJ+NVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrT4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUbxknQPFBE+7+6y15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq/No+xK3nK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5CRT8HSlfdGg4huQOm+Df3lANtfMObkO81HXOaEbUgragvxJ7d/Q4iz2qdfTSoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+KrMBUxaL0tmf9Mbhc5JGsc6oznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIqBMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j0HtA6DCupmt/hfx2H4WE71eYVyy+i7Zs8D3jr3i3VGFv3h+mvGcguZzeUcw3mm+eist+Tnx35fVOtNpc5o3j199EftHDC8lorzoLJ0jHdnkZU3lAqeC/hkSNV/1N/Oyd9GeJnTKJOjDiVzTlFOzfSQqZlvXPpGZz4LkcnSKZOpSM3GEU26EdtQe+oW/DRyD7Du7VD+LiX/Raz/+7N9aB2Q9TBZdM4ctKktpuyHPUXr07O9P1smMd7l5bu9LWjBs/ADasV7vnepP971bRXGVv4NEl7rd1Sq+oWIZPV0z66rLoygePLGOSDzPd+I7tJzFotvnp0EnC2a+1OrEi3pE/lmQbcU33Wk7NFcneizejw5wBv2nTw/FKnfUFtH23nccyXOh6WcD1c4Z6SdIofXzmfVd7PKuDQcLv08d7bQ/VKKs+15XnVudLuUC99Br8YPK/BDR8omaf8FRcJTVZ3Nm1fQnGuZ3BPWsTKZSNYDxpmd/H1XR7aLCl6LgPHvl6L3HUl3QZYu5b8jOmGbEr1E62aHpOebjtWZ1NsV0prvUTJNe9fRzgNza7E6S5/oeceZC/O/ESxpPeBuam4mStmTuIROl24ExkSJ70hK5wayPLI0IbJIVOaiJPOAb+8uAmRZBNAZCNIMRApDURK9gp9e3Nha/f8x1ivH165ubV7dun9947Ob+v/OeF/9XP1CXYZ943fqM5ihh+oIOP1B/Un9Wf2l8dfG3xv/bPyLu753TmN+qgr/Gt/8FxIsIkM=</latexit> v (K>u) = b <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">AABEM3ictVzdbxu5EWeuX5f0K9c+FgX26kuRK9LUTgO0wOGAS2TH8dlJnEh2cndKAq20UpSstYq+8qEz+tC/pq8t+ty/o+hb0Yf2oei/0Pkgl1yJu8N10xC2uRR/M8NZcjgzpBKP0+F0trn513PvfeOb3/r2d94/f+G73/v+D3548YMfHU+z+aSbHHWzNJs8ijvTJB2OkqPZcJYmj8aTpHMSp8nD+EUDP3+4SCbTYTZqzd6Mk8cnncFo2B92OzNoenrxp+1FI2pnvWwWXW7vP2nPsnHUnjc+jj6N2nHj6cWNzaub9C9ar2zpyobS/w6zDz78nWqrnspUV83ViUrUSM2gnqqOmkL5Sm2pTTWGtsdqCW0TqA3p80SdqguAnUOvBHp0oPUF/B7A01e6dQTPSHNK6C5wSeFnAshIXQJMBv0mUEduEX0+J8rYWkZ7STRRtjfwN9a0TqB1pp5Bq4QzPUNxOJaZ6qvf0hiGMKYxteDouprKnLSCkkfOqGZAYQxtWO/B5xOodwlp9BwRZkpjR9126PN/Uk9sxeeu7jtX/yIpL0GJVFOPPsspdNSC6Ef0NufwGcuTAucBUEj0GLH2inR9QqMfQf8ltN+Fcko1o5MYypJaTyuRDSg+ZENE7kLxIXdF5AEUH/JARB5C8SEPNRKxE9K5H9+E4sM3Rc73ofiQ90XkAyg+5AMReQzFhzwWkV9C8SG/FJG3oPiQt0TkPhQfcl9EtqD4kC0ReQTFhzwSkTtQfMgdjSxfqRMoGdEZCqvyBtSLPNBSpNByQ5TvJllHH/ZmwJrulmDlVb0Nf/3Y7QCdJiXYnYB51y/ByjNvF2ykHyvbotu0m/iwt0XsHswAP3ZPxH6unpdgPw9YaS9KsPJaO4B+fqxsfe/Akx97R8TehZofK+9R96DFj70XsGOMS7CHIva+elmCDbH6kxKsbPebYFf8WHmfakF/PzbEms5LsLI9PQYPxo+Vd6uH0OrHPhSxj9TrEuwjEfsFWHc/9ouAHfZtCdbssRdoBxmQP5LAiq2i1slXJdbGQK0j8E/zvSUl3ziGdgkzyDEDwpyIiN0csRuIOMgRB8FyTXM7OiV/V+bSzBHNQESc701Ym4n9e3l/rKUBiO0csb2CqPJI8V2bsSzIuzAtEnKW71xYCxlTlttvrCV6PlRbXoO4V0Dw3H5GM/8KRUsYQaGmqqg9y/d4Rkb0XIV4RdGbGaXhIeNmuVVwUa9FVOxBxSLqjQf1RkTNPai5iFp4UAsRZVe+i2sHzACrf3wXS3riGcA+cnmJwCu4AbvObVijEcyfQ/ACH1DLPfjbpNhbKlWSYTSP+yRmOR4XLPEEaku1Ae02Ktym+DqlFZaAZNzzno7x8QlzG0u95tgKn+Y7eZRnTMLpDEmeQU4HvcWI1lM9OvvUckreHdfq4W/n697U6uF3SOOn5MVzrR5+pqWfnUH2lsa2zoBtwmoaa+3bel0anH9hGqZ+gXZdtLj4Vk/0nEF6r2vS39NvZu8M76VBNdaPrdejMXXGNy2Mrw4Nq+epo+d6VNB7Yq/X1KLaIxnpuNfW68qQ0S460nLYp7pvBvv09Jsx9Xo0DsHjalDMvXTqdWfvOB+Nrdejcaw473lKnryp16MxoGfWh63Xo4HZlo6O8229rmVHDXDsbOt1rfqIssCYA+I5zy3WK5qQnzTX1IbkH1Rna1yff30fw5zNkzxGqKZkfdtyOnG+l1VLZPyFBKzarKYc6F/MHR+sSGOpronxFcswK+zv63TsHo+aPwAtRrD6+QxAypmnIKHJSaD1ToHilhh1FUdmcNdEHM6S/gqqrVtnordo+XLWqNj2lFqluMyO1uqxTfZ6SnNvTD7hAWlW0sNB6Rsuoyhp6KCgIZleHd291eu1qP1NETdeQYzzmdalEyE+SauOU31abzo6vqRPeWZQ+MzHzl/MNve1tcGYJyNbhLJU8XT7mTyS24b76hVlc9z8WURvFO3VgqzGkE6kpmIUarLF7I0v6dnSPqIzOeTBNLrwHiNNZaz41Ayz6JhPj8iiuvZW4o36Mhk6rk/J6hp7XI0eOOiBB10/xmnAjnEXai2IGY7gqRUQ5VzIdZWRxifql/npaEZvsDqiTwsW0tBge5MULGRVlP2sQOUVoHE2cJQeTmOVjsG31yjJUb9PHhu7Fi3/JTq5NefbHZrj5bO5PBPTI67XiGtEq4ZPdflplQNLsPR+co381+pRIr86HNGGSlyfOJxZLyM68U8ogh2TZ5zSapNWR7G3m59a/cRwOlTm7BxPszOykBHZvwj2p4zmZEQ/7t0Bc4LOFiElGxlid4a5d+PzdYbiHLN+3FDxrQY73xKyZXPib+i6q2tKc5EjBt4HTlfmttHJAfmCCXGdaOtu13b17oNIe0/CnSVM0c6Vy8T/Y/ptfsw82VibEahhfANTbet87yOjmAV11KFdvtoGmb6ulB/lMjzRUtv9z8r0UUGybYq4UB7crXvAuUvPzAtnyYTknq714X20KpuLlMcresTR9imKZ7s/0Dswyn2FdskNWnNtmiUDmAWzPIowfaUs8irfal5F6mG0p/8X6lbXRa0hxUjZDC5rSMrvJxStuVKmMKt5/r6g1eTX+mSlVzWfEc3FE2ctfw2tH8JvI7d5DqMTF6zCTZoDTME+WY1wS7TWI4zXzQIvMzMNLfts+dk5aXq5LWeJr9m62Rh7UZvKIc2a1zprYepnofHcofE8UIctOmu0WjTtxhI9FWOLlj6tDOVXh1urBuW5SFn2yAxqGCClG0uFUe2JVOUY36DeirQ2RVodWK3uaYC75kOQ/rW+urq/znf3SN0i36ZLHhjHLz1apUPyuUxrdaTGFJDzdW1f3dXfphbkHpMFRcp8jxNXDJ86damc5pL+XO9sGdl5axHMvaVXuo+xsW2q/3oNeUJrYkrr0iCuU49Ey+/KEa1YpKuOzxFR5r9DPhX7HdUxs9vbvpOo4E/YeJNXleXFkcKI9C9l3vbWotc9J36NKCaca+86Blr13zBSYIzJJPg9yym9Idzl+CSBPdqY7Oe6neJTvJEj0VWSeqk+DbAxHPXaue7OLTNiM7ZfQE/Uun3rvh4yvzSYo8TvLCd6HdrVTrSPulx5Phutjt7lis9Vepiv8LX6mFMfN7KwUV4R01afBHNhiepxYUwIl3qjqCN/PcnryMynU6GUTW9DuZhpYBvzjOIl6R4oInze3WWvN/exMI54jV5MWJcat0iUMBuX6fyAa2kxK3V+bR/i1vOVu1Hq7ERlO4Wh7u4W1n6zhUzI+qVKytlwb1f2diFKkbMwTKGr+EZvWXzo0vwECv6OlC86NBxDcodN8G9vqIbaeQe3IV7qOmc0I2pBW9Bbib07epzFHtU6eulQd+mHcAjnMQRdS9IPaSetKztTliV3qYfTf0VWYKISUXrbs/4YXC7ySNY51RnPkCybPJqhMt/FqTsWwyFkJEUu4Xz4XEMaRV+Z7zTVG4OhLo+gyKEOD3OPIeyd2971ebmcqvW1ziWUB+8C5sTF4PDkrzxWsf1CLNTEeSPvngNah34FdbNb/K/jMHwsp/q8QrlN6btmzwPeOvdLdEYW/eH6a8ZyC5nN5RzDeWb56Ky35OfHfl9U601lzmjePX30R+0cMLyWivOgsnSMd2eRlTeUCp4L+GTI1H/UX87J30Z4mdMok6MOJXNOUU7N9JCpmW9c+kZnPguRydIpk6lIzcYRTboR21B76hb8NHIPsO7tUP4uJf9FrP/7sz1o7ZP1MFl0zhy0qS2h7Ic9RevRs70/WyYx3uXlu70taMGz8ANqxXu+d6k/3vVtFcZW/g0SXut3VKZ6hYhk9XTPrqsYRlA8eeMckPmeb0R36TmLxTfPTgLOFs39qVWJlvSJfLMgLsXHjpRdmqtjfVaPJwd4w76T54ci9Stq62g7j3uuxPmwlPPhCucpaafI4bXzWfXdrDIuDYdLL8+dLXS/jOJse55XnRvdLuXCd9Cr8YMK/MCRsknaf0GR8ERVZ/PmFTTnWib3hHWkTCaS9YBxZid/39WR7aKC1yJg/Pul6H1H0l2QJab8d0QnbBOil2rd7JD0fNOxOpN6u0Ja8z1KpmnvOtp5YG4tVmfpUz3vOHNh/jeCJa0H3E3NzUQpe5KU0InpRmBClPiOpHRuIMsjSxMii0RlLkoyD/j27iJAlkUAnb4gTV+kMBAl0Sv46cWNrdX/H2O9cnzt6tbm1a371zc+u6n/74z31U/Uz9Rl2Dd+oz6DGXqojoDT79Uf1B/Vnxp/bvyt8ffGP7jre+c05seq8K/x7/8CZJYkgw==</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> u a Kv <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> v b K>u <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">AABEQXictVxfcxu3EYfTf7H6z2kf+3Kp4o7TuK7keqadyXQmNiXLimRbNinZSWh77sgjTfvIo+9Iyjaj6Wfop+lj2+mn6Ddontrpa1+6uwAOOBJ3i1NdYyThQPx2F3vAYncBOpomo3y2tfX3C+9969vf+e733r+48f0f/PBHP770wU9O8nSe9eLjXpqk2eMozONkNImPZ6NZEj+eZnE4jpL4UfSyhZ8/WsRZPkonndmbafxkHA4no8GoF86g6dmlT7qLVtBN4sEszLL0NNjoDrKwt9zoRq2NM/hz8LQ7S6dBdw6Pzy5tbl3bon/BemVbVTaF+neUfvDhH0RX9EUqemIuxiIWEzGDeiJCkUP5SmyLLTGFtidiCW0Z1Eb0eSzOxAZg59Arhh4htL6E30N4+kq1TuAZaeaE7gGXBH4yQAbiMmBS6JdBHbkF9PmcKGNrFe0l0UTZ3sDfSNEaQ+tMPIdWDqd7+uJwLDMxEL+jMYxgTFNqwdH1FJU5aQUlD6xRzYDCFNqw3ofPM6j3CKn1HBAmp7GjbkP6/B/UE1vxuaf6zsU3JOVlKIFoq9GnBYVQLIh+QG9zDp9JeRLgPAQKsRoj1k5J12Ma/QT6L6H9HpQzqmmdRFCW1HpWi2xBcSFbLHIPigu5xyIPobiQhyzyCIoLeaSQiM1I5258G4oL32Y5P4DiQj5gkQ+huJAPWeQJFBfyhEV+CcWF/JJF3obiQt5mkQdQXMgDFtmB4kJ2WOQxFBfymEXuQnEhdxWyeqVmUFKiM2JW5U2ol3mgpUig5SYr3y2yji7sLY813avA8qt6B/66sTseOo0rsLse825QgeVn3h7YSDeWt0V3aDdxYe+w2H2YAW7sPov9XLyowH7usdJeVmD5tXYI/dxY3vrehSc39i6LvQc1N5bfo+5Dixt732PHmFZgj1jsA/GqAutj9bMKLG/322BX3Fh+n+pAfzfWx5rOK7C8PT0BD8aN5XerR9Dqxj5isY/F6wrsYxb7BVh3N/YLjx32bQVW77EbtIMMyR+JYcXWUQuLVYm1KVALGf5Jsbck5BtH0M5hhgVmSJgxi9grEHueiMMCcegtV17Y0Zz8XZ5Lu0C0PRFRsTdhbcb27xf9sZZ4IHYKxM4Kos4jxXetx7Ig70K3cMhZsXNhzWdMaWG/sRar+VBveTXifgkh5/ZzmvlXKVrCCAo1VUftebHHS2RAz3WIU4re9Cg1Dx43K6yCjXrNoiIHKmJRbxyoNyxq7kDNWdTCgVqwKLPybVzXYwYY/eO7WNKTnAHSR64uAXgFN2HXuQNrNID5cwRe4ENquQ9/2xR7c6VOMozmcZ/ELMeTkiXOoLYUm9BuosIdiq8TWmExSCZ73lcxPj5hbmOp1py0wmfFTh4UGRN/OiOSZ1jQQW8xoPXUjM4BtZyRdydrzfB3inWva83wu6TxM/LiZa0Zfqakn51D9o7Cds6BbcNqmirtm3pTGjL/Imno+gbtumhx8a2O1ZxBeq8b0t9Xb2b/HO+lRTWpH1NvRiO3xpeXxteEhtFzbum5GRX0nqTXq2tB45FMVNxr6k1lSGkXnSg5zFPTN4N9+urN6HozGkfgcbUo5l5a9aazd1qMxtSb0TgRMu95Rp68rjejMaRnqQ9Tb0YDsy2hivNNvallRw3I2NnUm1r1CWWBMQck57xsMV5RRn7SXFEbkX9Qn62xff71fQxzNk+LGKGekvFtq+lExV5WL5H2F2KwarOGcqB/Mbd8sDKNpbjOxldShllpf1+nY/Z41PwhaDGA1S/PALiceQIS6pwEWu8EKG6zUVd5ZBp3ncXhLBmsoLqqdcZ6i4avzBqV255RKxeXmdEaPXbJXuc096bkEx6SZjk9HFa+4SqKnIYOSxri6TXR3Vu1Xsva32Jx0xXEtJhpPToRkidp9XGqS+ttS8eX1SnPDIo88zHzF7PNA2VtMOZJyRahLHU87X46j2S34b56VZgct/wsoDeK9mpBVmNEJ1I5G4XqbLH0xpf0bGgf05kc8pA0evAeA0VlKuSpGWbRMZ8ekEW17S3HG/WlM3SynpPV1fa4Hj200EMHunmM04Id4x7UOhAzHMNTxyPK2Sh0lZLGM/Gr4nQ0pTdYH9EnJQupaUh7E5csZF2U/bxE5RTQOBtklO5PY5WOxnfXKPFRv0seE7uWLf9lOrnV59shzfHq2VydiekT1+vENaBVI0915dMqBynB0vnJdfJf60eJ/JpwRBvKcX1qcZZ6mdCJf0wR7JQ844RWG7c6yr3t/NTqJ5rTkdBn53ianZKFDMj+BbA/pTQnA/qx7w7oE3RpERKykT52Z1R4Ny5fZ8TOMePHjYS81WDmW0y2bE78NV17deU0F2XEIPeBs5W5rXVySL5gTFwzZd3N2q7ffRBp7knYs0RSNHPlCvH/mH7rHz1PNtdmBGoY30CubJ3rfaQUs6COQtrl622Q7mtL+VEhw1Mltdn/jEwflSTboYgL5cHdug+ce/QseeEsyUjufK2P3EfrsrlIebqiRxztgKJ4afeHagdGua/SLrlJa65Ls2QIs2BWRBG6L5dFXuVbz6tM3Y92/n+hbnRd1hpSDITJ4EoNcfn9mKI1W8oEZrWcvy9pNbm1nq30quczobk4ttby19D6IfzWcutnPzpRySrcojkgKZgnoxHZEqz18ON1q8RLz0xNyzwbfmZO6l52y3nia2ndTIy9aEzliGbNa5W10PXz0Hhh0XjhqcMOnTUaLep2bYmesbFFR51W+vJrwq3TgPKcpcx7ZBo18pDSjqX8qPZZqnyMr1FvWVpbLK0QVqt9GmCveR+ke62vru6vi909ELfJt+mRBybjlz6t0hH5XLq1PlKTFJDzDWVf7dXfpRbkHpEFRcryHieuGHnq1KNyVkj6C7WzpWTnjUXQ95ZOVR9tY7tU/80ackxrIqd1qRE3qEes5LflCFYs0jXL5wgo8x+STyX9jvqY2e5t3klQ8idMvClXleElI4UJ6Z/LvO2vRa/7VvwaUEw4V951BLSav2GkIDE6k+D2LHN6Q7jLyZME6dFGZD/X7ZQ8xZtYEl0jqZfi9x42Rka9Zq7bc0uPWI/tl9ATtW7euqsHzy/x5sjxO8+JXki72lj5qMuV5/PRCtUuV36u08N8ha/Rx5z62JGFifLKmK741JuLlKgZF4nx4dJsFE3kbyZ5E5nl6ZQvZd1bUy5nGqSNeU7xEncPFBEu7+6K05v7mBlHtEYvIqxNTbZwlDAbl6r8gG1pMSt1cW0fkq0Xa3ejxNqJqnYKTd3eLYz9lhYyJuuXCC5nI3vbsndLUQqfhZEUekLe6K2KD22an0LB34FwRYeao0/usA3+7U3RErvv4DbEK1WXGc2AWtAW9Fdi71CNs9yjXkevLOo2fR8O/jxGoGtO+hHtpE1ll5R5yW3q/vRPyQpkImalNz2bj8Hmwo9knVOT8YzIsvGjGQn9XZymY9EcfEZS5uLPR55rcKMYCP2dpmZj0NT5EZQ5NOGh7zH4vXPTuzkvm1O9vta5+PKQu4A+cdE4PPmrjlVMPx8LlVlv5N1zQOswqKGud4v/dRyaj+HUnJcvt5y+a/bC463LfrHKyKI/3HzNGG4+s7maoz/PtBid8Zbc/KTfFzR6U6k1mndPH/1RMwc0r6WQeVBeOom3Z5GR15cKngu4ZEjFP8WfL/DfRnhV0KiSowklfU5RTU334Knpb1y6Rqc/85HJ0KmSqUzNxBFtuhHbEvviNvy0Cg+w6e1Q+V1K+Rex7u/P9qF1QNZDZ9Fl5qBLbTFlP8wpWp+ezf3ZKonxLq+829uBFjwLP6RWvOd7j/rjXd9OaWzV3yCRa/2uSEW/FJGsnu6ZdRXBCMonbzIHpL/nG9BdepnFkjfPxh5ni/r+1KpES/qEv1kQVeIjS8oezdWpOqvHkwO8YR8W+aFA/JraQmXncc/lOB9Vcj5a4ZyTdsocXluf1d/NquLSsrj0i9zZQvVLKc4253n1udGdSi7yDno9fliDH1pStkn7LykSzkR9Nm9eQ3OuZLJPWCdCZyKlHjDODIv3XR/ZLmp4LTzGf1CJPrAk3QNZIsp/B3TClhG9ROlml6SXNx3rM6l3aqTV36OUNM1dRzMP9K3F+ix9ouadzFzo/41gSesBd1N9M5HLnsQVdCK6ERgTJXlHkjs34OXhpfGRhaMyZyWZe3x7d+Ehy8KDzoCRZsBSGLKSqBX87NLm9ur/j7FeObl+bXvr2vaDG5uf3VL/d8b74mfi5+IK7Bu/FZ/BDD0Sx8Dpj+JP4i/ir62/tb5p/av1b9n1vQsK81NR+tf6z38B2Tcqew==</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> Ki,j def. = e d(xi,yj )p " <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">AABCM3ictVxfbxu5EWeu7d3F/XO59rEv2zopkiKX2u4BLXAocI7tOD4riRLJTu5OsaE/a2WdtVbelRwnOn2sPvdjFEXfij60D0U/QYHODMklV+LucN00hG0uxd/McJYczgyp9MZxlE3W1v5y7YPvff8HH3708fWVH/7oxz/55ManPz3MkmnaDw/6SZykL3rdLIyjUXgwiSZx+GKcht2zXhw+773ews+fX4RpFiWj9uTtOHx51h2OopOo351A0/GN85ud/ePZrEOUZmk4mAfR/G6gG3rxNJwHp/P5StAJzwfhSRAezT7rnKTd/mxwuwC7PF4Gvj0+nd85Gs9nnXCcRXEyms9vHt9YXbu3Rv+C5cq6qqwK9a+ZfBociI4YiET0xVSciVCMxATqseiKDMq3Yl2siTG0vRQzaEuhFtHnoZiLFcBOoVcIPbrQ+hp+D+HpW9U6gmekmRG6D1xi+EkBGYhbgEmgXwp15BbQ51OijK1ltGdEE2V7C397itYZtE7EK2jlcLqnLw7HMhEn4vc0hgjGNKYWHF1fUZmSVlDywBrVBCiMoQ3rA/g8hXqfkFrPAWEyGjvqtkuf/4N6Yis+91XfqfgnSXkLSiBaavRJTqErLoh+QG9zCp9JeWLgPAQKoRoj1t6Qrs9o9CPoP4P2x1DmVNM66UGZUeu8ErkFxYXcYpG7UFzIXRbZgOJCNlhkE4oL2VRIxKakcze+BcWFb7Gcn0JxIZ+yyGdQXMhnLPIQigt5yCK/geJCfsMiH0BxIR+wyH0oLuQ+i2xDcSHbLPIAigt5wCJ3oLiQOwpZvlJTKAnRiZhVuQn1Ig+0FDG0bLLy3Sfr6MLe91jT/RIsv6q34a8bu+2h07AEu+Mx705KsPzM2wUb6cbytugh7SYu7EMWuwczwI3dY7FfidMS7FceK+11CZZfaw3o58by1vcRPLmxj1jsY6i5sfwe9QRa3NgnHjvGuATbZLFPxXkJ1sfqpyVY3u63wK64sfw+1Yb+bqyPNZ2WYHl7eggejBvL71bPodWNfc5iX4jLEuwLFvs1WHc39muPHfZdCVbvsSu0gwzJHwlhxVZR6+arEmtjoNZl+Mf53hKTb9yDdg4zzDFDwpyxiN0cseuJaOSIhrdcWW5HM/J3eS6tHNHyRPTyvQlrE7b/IO+PtdgDsZ0jthcQVR4pvms9lgvyLnQLh5zkOxfWfMaU5PYba6GaD9WWVyOeFBBybr+imX+XoiWMoFBTVdRe5Xu8RAb0XIV4Q9GbHqXmweMmuVWwUZcsqudA9VjUWwfqLYuaOlBTFnXhQF2wKLPybVzHYwYY/eO7mNGTnAHSRy4vAXgFm7DrPIQ1GsD8aYIX+IxansDfFsXeXKmSDKN53Ccxy/GyYIlTqM3EKrSbqHCb4uuYVlgIksmeT1SMj0+Y25ipNSet8DzfyYM8Y+JPJyJ5hjkd9BYDWk/16OxTy5y8O1mrh3+Yr3tdq4ffIY3PyYuXtXr4iZJ+cgXZ2wrbvgK2BatprLRv6nVpyPyLpKHrK7TrosXFt3qm5gzSu6xJf0+9mb0rvJctqkn9mHo9Gpk1vqwwvjo0jJ4zS8/1qKD3JL1eXQtqj2Sk4l5TrytDQrvoSMlhnuq+GewzUG9G1+vRaILHtUUx98yq152943w0pl6PxqGQec85efK6Xo/GkJ6lPky9Hg3MtnRVnG/qdS07akDGzqZe16qPKAuMOSA552WL8YpS8pOmilpE/kF1tsb2+Zf3MczZHOUxQjUl49uW0+nle1m1RNpfCMGqTWrKgf7F1PLBijRmYoONr6QMk8L+vkzH7PGo+QZoMYDVL88AuJx5DBLqnARa7xgorrNRV3FkGrfB4nCWnCygOqp1wnqLhq/MGhXbjqmVi8vMaI0eO2SvM5p7Y/IJG6RZTg+N0jdcRpHTUKOgIZ5eHd29U+u1qP01FjdeQIzzmdanEyF5klYdp7q03rJ0fEud8kygyDMfM38x23yirA3GPAnZIpSliqfdT+eR7DbcV+8Kk+OWnwX0RtFeXZDViOhEKmOjUJ0tlt74jJ4N7QM6k0MekkYf3mOgqIyFPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejhxZ66EDXj3G2YMd4DLU2xAwH8NT2iHJWcl0lpPFUfJafjib0Bqsj+rhgITUNaW/CgoWsirJfFai8ATTOBhml+9NYpKPxnSVKfNTvksfErkXLf4tObvX5dpfmePlsLs/EDIjrBnENaNXIU135tMhBSjBzfrJB/mv1KJFfHY5oQzmuRxZnqZcRnfiHFMGOyTOOabVxq6PY285PLX6iOTWFPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTtR7t24fJ2InWPGj4uEvNVg5ltItmxK/DVde3VlNBdlxCD3gfnC3NY6aZAvGBLXVFl3s7ardx9EmnsS9iyRFM1cuU3879Bv/aPnyerSjEAN4xvIlK1zvY+EYhbUUZd2+WobpPvaUt7MZThSUpv9z8h0syDZNkVcKA/u1gPg3KdnyQtnSUpyZ0t95D5alc1FyuMFPeJoTyiKl3Z/qHZglPsu7ZKrtOY6NEuGMAsmeRSh+3JZ5EW+1byK1P1oZ/8X6kbXRa0hxUCYDK7UEJffDylas6WMYVbL+fuaVpNb6+lCr2o+I5qLZ9Za/g5afwG/tdz62Y9Or2AV7tMckBTMk9GIbAmWevjxul/gpWempmWeDT8zJ3Uvu+Uq8bW0bibGvqhNpUmz5lJlLXT9KjROLRqnnjps01mj0aJu15bomI0t2uq00pdfHW7tGpSnLGXeI9OoyENKO5byozpgqfIxvka9Y2mtsbS6sFrt0wB7zfsg3Wt9cXV/l+/ugXhAvk2fPDAZvwxolUbkc+nW6khNUkDOnyv7aq/+DrUg9x5ZUKQs73HiipGnTn0q81zSX6mdLSE7byyCvrf0RvXRNrZD9d8uIc9oTWS0LjXic+oRKvltOYIFi3TP8jkCyvx3yaeSfkd1zGz3Nu8kKPgTJt6Uq8rwkpHCiPTPZd72lqLXPSt+DSgmnCrvuge06r9hpCAxOpPg9iwzekO4y8mTBOnR9sh+LtspeYo3siS6R1LPxB88bIyMes1ct+eWHrEe26+hJ2rdvHVXD55f7M2R43eVE70u7WpnykedLTxfjVZX7XLF5yo9TBf4Gn1MqY8dWZgor4jpiC+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2phXFC9x90AR4fLubju9uTvMOHpL9HqEtanJFo4SZuMSlR+wLS1mpa4v7UOy9XrlbhRbO1HZTqGp27uFsd/SQoZk/WLB5Wxkb1v2TiFK4bMwkkJfyBu9ZfGhTfMLKPg7EK7oUHP0yR22wL/dFFti5z3chjhXdZnRDKgFbcFgIfbuqnEWe1Tr6NyibtP34eDPIwJdc9JHtJPWlV1S5iW3qfvTf0NWIBUhK73pWX8MNhd+JMuc6ownIsvGjyYS+rs4dceiOfiMpMjFn4881+BGcSL0d5rqjUFT50dQ5FCHh77H4PfOTe/6vGxO1fpa5uLLQ+4C+sRF4/DkrzxWMf18LFRqvZH3zwGtw0kFdb1b/K/j0HwMp/q8fLll9F2zU4+3LvuFKiOL/nD9NWO4+czmco7+PJN8dMZbcvOTfl9Q600l1mjeP330R80c0LxmQuZBeekk3p5FRl5fKngu4JIhEf8Wf7rGfxvhPKdRJkcdSvqcopya7sFT09+4dI1Of+Yjk6FTJlORmokjWnQjdkvsiQfws5V7gHVvh8rvUsq/iHV/f3YArSdkPXQWXWYOOtQWUvbDnKIN6Nncny2TGO/yyru9bWjBs/AGteI938fUH+/6tgtjK/8GiVzrj0QiBoWIZPF0z6yrHoygePImc0D6e74B3aWXWSx58+zM42xR359alGhGn/A3C3ql+J4lZZ/m6lid1ePJAd6w7+b5oUD8htq6ys7jnstxbpZybi5wzkg7RQ6X1mfVd7PKuGxZXAZ57uxC9UsozjbnedW50e1SLvIOejV+WIEfWlK2SPuvKRJORXU2b1pBc6pksk9YR0JnIqUeMM7s5u+7OrK9qOB14TH+/VL0viXpLsjSo/x3QCdsKdGLlW52SHp507E6k/qwQlr1PcrjG6vri/+XwXLlcOPe+tq99acbq1/eV//Pwcfi5+KX4jas8d+JL4FaUxwAhz+L/1z78NpHm3/c/Ovm3zb/Lrt+cE1hfiYK/zb/9V/qjc4u</latexit> <latexit sha1_base64="Aj13Pudp3mh0YVvEj8fuguyPDYc=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="+2swvmn1CRFRsgsGG2A0werotFo=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> a = P1 = diag(u)(Kv) = u (Kv)
  18. Sinkhorn’s Algorithm Proposition: <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit

    sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> <latexit sha1_base64="CAr6Lw+hs0edXn6cKgSuWJP1qY0=">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</latexit> u (Kv) = a <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="0tr66ho5RmqbHjRupaTbkUYSLws=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="d4O7ncAhwEyhYw9YrmtCGvEalRs=">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</latexit> <latexit sha1_base64="xdldN1QwoU6g0JBlxgDQggJNTnU=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">AABELnictVxbbxu5FWa2t016y7YvBfoyW2+KbJGmdhqgBRYLbCI7jtdO4kSyk91VEugyUpSMNYpGUi5at3+mry36D/ovCvSh6Ov2qX+h50IOORJnDsdNQ9jmUPzOOTxDHp5zSKU7SUbZbHPzH+fe+9a3v/Pd771//sL3f/DDH/344gc/Oc7S+bQXH/XSJJ0+6nayOBmN46PZaJbEjybTuHPSTeKH3RcN/PzhIp5mo3Tcmr2ZxI9POsPxaDDqdWbQ9PTiz9rzRtRO++ksutzej9qLxsfRp1G703h6cWPz6ib9i9YrW7qyofS/w/SDD/+o2qqvUtVTc3WiYjVWM6gnqqMyKF+pLbWpJtD2WC2hbQq1EX0eq1N1AbBz6BVDjw60voDfQ3j6SreO4RlpZoTuAZcEfqaAjNQlwKTQbwp15BbR53OijK1ltJdEE2V7A3+7mtYJtM7UM2iVcKZnKA7HMlMD9XsawwjGNKEWHF1PU5mTVlDyyBnVDChMoA3rffh8CvUeIY2eI8JkNHbUbYc+/4Z6Yis+93Tfufo3SXkJSqSaevRpTqGjFkQ/orc5h89YngQ4D4FCrMeItVek6xMa/Rj6L6H9LpRTqhmddKEsqfW0EtmA4kM2ROQuFB9yV0QeQPEhD0TkIRQf8lAjETslnfvxTSg+fFPkfB+KD3lfRD6A4kM+EJHHUHzIYxH5JRQf8ksReQuKD3lLRO5D8SH3RWQLig/ZEpFHUHzIIxG5A8WH3NHI8pU6hZISnZGwKm9AvcgDLUUCLTdE+W6SdfRhbwas6V4JVl7V2/DXj90O0Glcgt0JmHeDEqw883bBRvqxsi26TbuJD3tbxO7BDPBj90Ts5+p5CfbzgJX2ogQrr7UD6OfHytb3Djz5sXdE7F2o+bHyHnUPWvzYewE7xqQEeyhi76uXJdgQqz8twcp2vwl2xY+V96kW9PdjQ6zpvAQr29Nj8GD8WHm3egitfuxDEftIvS7BPhKxX4B192O/CNhh35ZgzR57gXaQIfkjMazYKmqdfFVibQLUOgL/JN9bEvKNu9AuYYY5ZkiYExGxmyN2AxEHOeIgWK4st6MZ+bsyl2aOaAYiuvnehLWZ2L+f98daEoDYzhHbK4gqjxTftRnLgrwL0yIhZ/nOhbWQMaW5/cZarOdDteU1iHsFBM/tZzTzr1C0hBEUaqqK2rN8j2dkRM9ViFcUvZlRGh4ybpZbBRf1WkR1PaiuiHrjQb0RUXMPai6iFh7UQkTZle/i2gEzwOof38WSnngGsI9cXiLwCm7ArnMb1mgE8+cQvMAH1HIP/jYp9pZKlWQYzeM+iVmOxwVLPIXaUm1Au40Ktym+TmiFxSAZ97ynY3x8wtzGUq85tsKn+U4e5RmTcDojkmeY00FvMaL1VI/OPrWcknfHtXr42/m6N7V6+B3S+Cl58Vyrh59p6WdnkL2lsa0zYJuwmiZa+7ZelwbnX5iGqV+gXRctLr7VEz1nkN7rmvT39JvZO8N7aVCN9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JWMe9tl5XhpR20bGWwz7VfTPYp6/fjKnXo3EIHleDYu6lU687eyf5aGy9Ho1jxXnPU/LkTb0ejSE9sz5svR4NzLZ0dJxv63UtO2qAY2dbr2vVx5QFxhwQz3lusV7RlPykuaY2Iv+gOlvj+vzr+xjmbJ7kMUI1JevbltPp5ntZtUTGX4jBqs1qyoH+xdzxwYo0luqaGF+xDLPC/r5Ox+7xqPkD0GIEq5/PAKSceQISmpwEWu8EKG6JUVdxZAZ3TcThLBmsoNq6dSZ6i5YvZ42KbU+pVYrL7GitHttkrzOaexPyCQ9Is5IeDkrfcBlFSUMHBQ3J9Oro7q1er0Xtb4q4yQpiks+0Hp0I8UladZzq03rT0fElfcozg8JnPnb+YrZ5oK0Nxjwp2SKUpYqn28/kkdw23FevKJvj5s8ieqNorxZkNUZ0IpWJUajJFrM3vqRnS/uIzuSQB9PowXuMNJWJ4lMzzKJjPj0ii+raW4k36stk6LiekdU19rgaPXTQQw+6fozTgB3jLtRaEDMcwVMrIMq5kOsqJY1P1a/z09GU3mB1RJ8ULKShwfYmLljIqij7WYHKK0DjbOAoPZzGKh2Db69RkqN+nzw2di1a/kt0cmvOtzs0x8tnc3kmpk9crxHXiFYNn+ry0yoHlmDp/eQa+a/Vo0R+dTiiDZW4PnE4s17GdOIfUwQ7Ic84odUmrY5ibzc/tfqJ4XSozNk5nmanZCEjsn8R7E8pzcmIfty7A+YEnS1CQjYyxO6Mcu/G5+uMxDlm/biR4lsNdr7FZMvmxN/QdVdXRnORIwbeB05X5rbRyQH5gjFxnWrrbtd29e6DSHtPwp0lTNHOlcvE/2P6bX7MPNlYmxGoYXwDmbZ1vveRUsyCOurQLl9tg0xfV8qPchmeaKnt/mdl+qgg2TZFXCgP7tZ94NyjZ+aFs2RKcmdrfXgfrcrmIuXJih5xtAOK4tnuD/UOjHJfoV1yg9Zcm2bJEGbBLI8iTF8pi7zKt5pXkXoY7ez/Qt3quqg1pBgpm8FlDUn5/ZiiNVfKBGY1z98XtJr8Wp+u9KrmM6a5eOKs5a+h9UP4beQ2z2F0ugWrcJPmAFOwT1Yj3BKt9QjjdbPAy8xMQ8s+W352TppebstZ4mu2bjbGXtSmckiz5rXOWpj6WWg8d2g8D9Rhi84arRZNu7FET8XYoqVPK0P51eHWqkF5LlKWPTKDGgVI6cZSYVT7IlU5xjeotyKtTZFWB1arexrgrvkQpH+tr67ur/PdPVK3yLfpkQfG8UufVumIfC7TWh2pMQXkfF3bV3f1t6kFuXfJgiJlvseJK4ZPnXpUTnNJf6l3tpTsvLUI5t7SK93H2Ng21X+7hjyhNZHRujSI69Qj1vK7ckQrFumq43NElPnvkE/Ffkd1zOz2tu8kKvgTNt7kVWV5caQwJv1Lmbe9teh1z4lfI4oJ59q77gKt+m8YKTDGZBL8nmVGbwh3OT5JYI+2S/Zz3U7xKd7YkegqSb1UnwbYGI567Vx355YZsRnbr6Anat2+dV8PmV8SzFHid5YTvQ7taifaR12uPJ+NVkfvcsXnKj3MV/hafcypjxtZ2CiviGmrT4K5sET1uDAmhEu9UdSRv57kdWTm06lQyqa3oVzMNLCNeUbxknQPFBE+7+6y15v7WBhHd41el7AuNW6RKGE2LtX5AdfSYlbq/No+xK3nK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7O1ClCJnYZhCT/GN3rL40KX5CRT8HSlfdGg4huQOm+Df3lANtfMObkO81HXOaEbUgragvxJ7d/Q4iz2qdfTSoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+KrMBUxaL0tmf9Mbhc5JGsc6oznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIqBMt9pqjcGQ10eQZFDHR7mHkPYO7e96/NyOVXra51LKA/eBcyJi8HhyV95rGL7hVioqfNG3j0HtA6DCupmt/hfx2H4WE71eYVyy+i7Zs8D3jr3i3VGFv3h+mvGcguZzeUcw3mm+eist+Tnx35fVOtNpc5o3j199EftHDC8lorzoLJ0jHdnkZU3lAqeC/hkSNV/1N/Oyd9GeJnTKJOjDiVzTlFOzfSQqZlvXPpGZz4LkcnSKZOpSM3GEU26EdtQe+oW/DRyD7Du7VD+LiX/Raz/+7N9aB2Q9TBZdM4ctKktpuyHPUXr07O9P1smMd7l5bu9LWjBs/ADasV7vnepP971bRXGVv4NEl7rd1Sq+oWIZPV0z66rLoygePLGOSDzPd+I7tJzFotvnp0EnC2a+1OrEi3pE/lmQbcU33Wk7NFcneizejw5wBv2nTw/FKnfUFtH23nccyXOh6WcD1c4Z6SdIofXzmfVd7PKuDQcLv08d7bQ/VKKs+15XnVudLuUC99Br8YPK/BDR8omaf8FRcJTVZ3Nm1fQnGuZ3BPWsTKZSNYDxpmd/H1XR7aLCl6LgPHvl6L3HUl3QZYu5b8jOmGbEr1E62aHpOebjtWZ1NsV0prvUTJNe9fRzgNza7E6S5/oeceZC/O/ESxpPeBuam4mStmTuIROl24ExkSJ70hK5wayPLI0IbJIVOaiJPOAb+8uAmRZBNAZCNIMRApDURK9gp9e3Nha/f8x1ivH165ubV7dun9947Ob+v/OeF/9XP1CXYZ943fqM5ihh+oIOP1B/Un9Wf2l8dfG3xv/bPyLu753TmN+qgr/Gt/8FxIsIkM=</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> <latexit sha1_base64="L0a9yaq7SoDrCaDqUKFsvOMilSM=">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</latexit> v (K>u) = b <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> <latexit sha1_base64="UEfo0q7/awH1ZlqoxebmYfYkUMI=">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</latexit> u a Kv <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> v b K>u <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">AABEQXictVxfcxu3EYfTf7H6z2kf+3Kp4o7TuK7keqadyXQmNiXLimRbNinZSWh77sgjTfvIo+9Iyjaj6Wfop+lj2+mn6Ddontrpa1+6uwAOOBJ3i1NdYyThQPx2F3vAYncBOpomo3y2tfX3C+9969vf+e733r+48f0f/PBHP770wU9O8nSe9eLjXpqk2eMozONkNImPZ6NZEj+eZnE4jpL4UfSyhZ8/WsRZPkonndmbafxkHA4no8GoF86g6dmlT7qLVtBN4sEszLL0NNjoDrKwt9zoRq2NM/hz8LQ7S6dBdw6Pzy5tbl3bon/BemVbVTaF+neUfvDhH0RX9EUqemIuxiIWEzGDeiJCkUP5SmyLLTGFtidiCW0Z1Eb0eSzOxAZg59Arhh4htL6E30N4+kq1TuAZaeaE7gGXBH4yQAbiMmBS6JdBHbkF9PmcKGNrFe0l0UTZ3sDfSNEaQ+tMPIdWDqd7+uJwLDMxEL+jMYxgTFNqwdH1FJU5aQUlD6xRzYDCFNqw3ofPM6j3CKn1HBAmp7GjbkP6/B/UE1vxuaf6zsU3JOVlKIFoq9GnBYVQLIh+QG9zDp9JeRLgPAQKsRoj1k5J12Ma/QT6L6H9HpQzqmmdRFCW1HpWi2xBcSFbLHIPigu5xyIPobiQhyzyCIoLeaSQiM1I5258G4oL32Y5P4DiQj5gkQ+huJAPWeQJFBfyhEV+CcWF/JJF3obiQt5mkQdQXMgDFtmB4kJ2WOQxFBfymEXuQnEhdxWyeqVmUFKiM2JW5U2ol3mgpUig5SYr3y2yji7sLY813avA8qt6B/66sTseOo0rsLse825QgeVn3h7YSDeWt0V3aDdxYe+w2H2YAW7sPov9XLyowH7usdJeVmD5tXYI/dxY3vrehSc39i6LvQc1N5bfo+5Dixt732PHmFZgj1jsA/GqAutj9bMKLG/322BX3Fh+n+pAfzfWx5rOK7C8PT0BD8aN5XerR9Dqxj5isY/F6wrsYxb7BVh3N/YLjx32bQVW77EbtIMMyR+JYcXWUQuLVYm1KVALGf5Jsbck5BtH0M5hhgVmSJgxi9grEHueiMMCcegtV17Y0Zz8XZ5Lu0C0PRFRsTdhbcb27xf9sZZ4IHYKxM4Kos4jxXetx7Ig70K3cMhZsXNhzWdMaWG/sRar+VBveTXifgkh5/ZzmvlXKVrCCAo1VUftebHHS2RAz3WIU4re9Cg1Dx43K6yCjXrNoiIHKmJRbxyoNyxq7kDNWdTCgVqwKLPybVzXYwYY/eO7WNKTnAHSR64uAXgFN2HXuQNrNID5cwRe4ENquQ9/2xR7c6VOMozmcZ/ELMeTkiXOoLYUm9BuosIdiq8TWmExSCZ73lcxPj5hbmOp1py0wmfFTh4UGRN/OiOSZ1jQQW8xoPXUjM4BtZyRdydrzfB3inWva83wu6TxM/LiZa0Zfqakn51D9o7Cds6BbcNqmirtm3pTGjL/Imno+gbtumhx8a2O1ZxBeq8b0t9Xb2b/HO+lRTWpH1NvRiO3xpeXxteEhtFzbum5GRX0nqTXq2tB45FMVNxr6k1lSGkXnSg5zFPTN4N9+urN6HozGkfgcbUo5l5a9aazd1qMxtSb0TgRMu95Rp68rjejMaRnqQ9Tb0YDsy2hivNNvallRw3I2NnUm1r1CWWBMQck57xsMV5RRn7SXFEbkX9Qn62xff71fQxzNk+LGKGekvFtq+lExV5WL5H2F2KwarOGcqB/Mbd8sDKNpbjOxldShllpf1+nY/Z41PwhaDGA1S/PALiceQIS6pwEWu8EKG6zUVd5ZBp3ncXhLBmsoLqqdcZ6i4avzBqV255RKxeXmdEaPXbJXuc096bkEx6SZjk9HFa+4SqKnIYOSxri6TXR3Vu1Xsva32Jx0xXEtJhpPToRkidp9XGqS+ttS8eX1SnPDIo88zHzF7PNA2VtMOZJyRahLHU87X46j2S34b56VZgct/wsoDeK9mpBVmNEJ1I5G4XqbLH0xpf0bGgf05kc8pA0evAeA0VlKuSpGWbRMZ8ekEW17S3HG/WlM3SynpPV1fa4Hj200EMHunmM04Id4x7UOhAzHMNTxyPK2Sh0lZLGM/Gr4nQ0pTdYH9EnJQupaUh7E5csZF2U/bxE5RTQOBtklO5PY5WOxnfXKPFRv0seE7uWLf9lOrnV59shzfHq2VydiekT1+vENaBVI0915dMqBynB0vnJdfJf60eJ/JpwRBvKcX1qcZZ6mdCJf0wR7JQ844RWG7c6yr3t/NTqJ5rTkdBn53ianZKFDMj+BbA/pTQnA/qx7w7oE3RpERKykT52Z1R4Ny5fZ8TOMePHjYS81WDmW0y2bE78NV17deU0F2XEIPeBs5W5rXVySL5gTFwzZd3N2q7ffRBp7knYs0RSNHPlCvH/mH7rHz1PNtdmBGoY30CubJ3rfaQUs6COQtrl622Q7mtL+VEhw1Mltdn/jEwflSTboYgL5cHdug+ce/QseeEsyUjufK2P3EfrsrlIebqiRxztgKJ4afeHagdGua/SLrlJa65Ls2QIs2BWRBG6L5dFXuVbz6tM3Y92/n+hbnRd1hpSDITJ4EoNcfn9mKI1W8oEZrWcvy9pNbm1nq30quczobk4ttby19D6IfzWcutnPzpRySrcojkgKZgnoxHZEqz18ON1q8RLz0xNyzwbfmZO6l52y3nia2ndTIy9aEzliGbNa5W10PXz0Hhh0XjhqcMOnTUaLep2bYmesbFFR51W+vJrwq3TgPKcpcx7ZBo18pDSjqX8qPZZqnyMr1FvWVpbLK0QVqt9GmCveR+ke62vru6vi909ELfJt+mRBybjlz6t0hH5XLq1PlKTFJDzDWVf7dXfpRbkHpEFRcryHieuGHnq1KNyVkj6C7WzpWTnjUXQ95ZOVR9tY7tU/80ackxrIqd1qRE3qEes5LflCFYs0jXL5wgo8x+STyX9jvqY2e5t3klQ8idMvClXleElI4UJ6Z/LvO2vRa/7VvwaUEw4V951BLSav2GkIDE6k+D2LHN6Q7jLyZME6dFGZD/X7ZQ8xZtYEl0jqZfi9x42Rka9Zq7bc0uPWI/tl9ATtW7euqsHzy/x5sjxO8+JXki72lj5qMuV5/PRCtUuV36u08N8ha/Rx5z62JGFifLKmK741JuLlKgZF4nx4dJsFE3kbyZ5E5nl6ZQvZd1bUy5nGqSNeU7xEncPFBEu7+6K05v7mBlHtEYvIqxNTbZwlDAbl6r8gG1pMSt1cW0fkq0Xa3ejxNqJqnYKTd3eLYz9lhYyJuuXCC5nI3vbsndLUQqfhZEUekLe6K2KD22an0LB34FwRYeao0/usA3+7U3RErvv4DbEK1WXGc2AWtAW9Fdi71CNs9yjXkevLOo2fR8O/jxGoGtO+hHtpE1ll5R5yW3q/vRPyQpkImalNz2bj8Hmwo9knVOT8YzIsvGjGQn9XZymY9EcfEZS5uLPR55rcKMYCP2dpmZj0NT5EZQ5NOGh7zH4vXPTuzkvm1O9vta5+PKQu4A+cdE4PPmrjlVMPx8LlVlv5N1zQOswqKGud4v/dRyaj+HUnJcvt5y+a/bC463LfrHKyKI/3HzNGG4+s7maoz/PtBid8Zbc/KTfFzR6U6k1mndPH/1RMwc0r6WQeVBeOom3Z5GR15cKngu4ZEjFP8WfL/DfRnhV0KiSowklfU5RTU334Knpb1y6Rqc/85HJ0KmSqUzNxBFtuhHbEvviNvy0Cg+w6e1Q+V1K+Rex7u/P9qF1QNZDZ9Fl5qBLbTFlP8wpWp+ezf3ZKonxLq+829uBFjwLP6RWvOd7j/rjXd9OaWzV3yCRa/2uSEW/FJGsnu6ZdRXBCMonbzIHpL/nG9BdepnFkjfPxh5ni/r+1KpES/qEv1kQVeIjS8oezdWpOqvHkwO8YR8W+aFA/JraQmXncc/lOB9Vcj5a4ZyTdsocXluf1d/NquLSsrj0i9zZQvVLKc4253n1udGdSi7yDno9fliDH1pStkn7LykSzkR9Nm9eQ3OuZLJPWCdCZyKlHjDODIv3XR/ZLmp4LTzGf1CJPrAk3QNZIsp/B3TClhG9ROlml6SXNx3rM6l3aqTV36OUNM1dRzMP9K3F+ix9ouadzFzo/41gSesBd1N9M5HLnsQVdCK6ERgTJXlHkjs34OXhpfGRhaMyZyWZe3x7d+Ehy8KDzoCRZsBSGLKSqBX87NLm9ur/j7FeObl+bXvr2vaDG5uf3VL/d8b74mfi5+IK7Bu/FZ/BDD0Sx8Dpj+JP4i/ir62/tb5p/av1b9n1vQsK81NR+tf6z38B2Tcqew==</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> Ki,j def. = e d(xi,yj )p " <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="Aj13Pudp3mh0YVvEj8fuguyPDYc=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="qLEM42E0XUUrZFln+j/fc0q1b0g=">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</latexit> <latexit sha1_base64="+2swvmn1CRFRsgsGG2A0werotFo=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> <latexit sha1_base64="TzmMHppjQPGpkFJfRm72fbNVqls=">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</latexit> min P nP i,j d(xi, yj)pPi,j + "Pi,j log(Pi,j) ; P1 = a, P>1 = b o <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">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</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">AABF7HictVxfc9u4EYev/+7cf0n72BdenXSSnpva7nXamZubucR2El+cRIlkJ3dR4hElWqFDiYooKU50+hadvnQ67VO/Rj9HP0Bn2qd+hS52AQKUQC7opuHYBkH8dhdLYLG7ABOOkjibbG39Y+2Db337O9/93ocfrX//Bz/80Y8vXf7JcZZOx93oqJsm6fhp2MmiJB5GR5N4kkRPR+OoMwiT6En4alc+fzKLxlmcDluTt6Po+aDTH8ancbczgaqTy2sfXWlPB/Fw3m4sgnY0zLrpsDdfD9rZdHAyn7eRw3wc9RbxYlPfhsk0WpwtFkHvmt3i/GS5zduTs8X1F6Og3eBprX8C/EdZnKRDr/btJO1f82h4fX0xX283gnY6jLLP253dTSD/oj1JR7oq3F1frF9ZP7m0sXVjC/8Fq4VtVdgQ6l8jvfzxP0Vb9EQqumIqBiISQzGBciI6IoPrmdgWW2IEdc/FHOrGUIrxeSQWYh2wU2gVQYsO1L6C3324e6Zqh3AvaWaI7gKXBH7GgAzEVcCk0G4MZcktwOdTpCxry2jPkaaU7S38DRWtAdROxEuo5XC6pS9O9mUiTsXvsQ8x9GmENbJ3XUVlilqRkgdWryZAYQR1styD52ModxGp9RwgJsO+S9128Pm/sKWslfdd1XYq/o1SXoUrEE3V+zSn0BEzpB/g25zCM5InAc59oBCpPsrSG9T1AHs/hPZzqH8A1wJLWichXHOsXVQid+FyIXdZ5B24XMg7LPIQLhfykEU24HIhGwopsWPUuRvfhMuFb7KcH8HlQj5ikY/hciEfs8hjuFzIYxb5NVwu5Ncs8jZcLuRtFnkPLhfyHotsweVCtljkEVwu5BGL3IfLhdxXyPKZOoYrRToxMytvQrnIQ1qKBGpusvLdQuvowt7ymNPdEiw/q/fgrxu756HTqAS77zHuTkuw/Mi7AzbSjeVt0V1cTVzYuyz2AEaAG3vAYr8UZyXYLz1m2qsSLD/XDqGdG8tb3/tw58beZ7EPoOTG8mvUQ6hxYx96rBijEmyDxT4Sr0uwPlZ/XILl7X4T7Ioby69TLWjvxvpY02kJlrenx+DBuLH8avUEat3YJyz2qTgvwT5lsV+BdXdjv/JYYd+VYPUau44rSB/9kQhmbBW1Tj4rZWkE1DoM/yRfWxL0jUOo5zD9HNNHzIBF3MkRdzwRhzni0FuuLLejGfq7PJdmjmh6IsJ8bZKlCdu+l7eXpcQDsZcj9pYQVR6pfNe6LzP0LnQNh5zkK5cs+fQpze23LEVqPFRbXo14WEDQ2H6JI38ToyUZQUlNVVF7ma/xhAzwvgrxBqM33UvNg8dNcqtgo85ZVOhAhSzqrQP1lkVNHagpi5o5UDMWZWa+jWt7jACjf/ku5nhHI4B85PIrAK/gJqw6d2GOBjB+GuAFPsaah/C3ibE3d1VJJqN5uU7KLMfzgiUeQ2kuNqDeRIV7GF8nOMMikIxaPlQxvryTuY25mnNkhRf5Sh7kGRN/OjHK08/pSG8xwPlUj849rFmgd0elevi7+bzXpXr4fdT4Ar14KtXDT5T0kwvI3lLY1gWwTZhNI6V9U65Lg/IvREOX13HVlRZXvtWBGjOS3nlN+gfqzRxc4L3sYon0Y8r1aGRW/7JC/+rQMHrOLD3XoyK9J/J6dSmo3ZOhintNua4MKa6iQyWHuav7ZmSbnnozulyPRgM8rl2MuedWue7oHeW9MeV6NI4F5T0X6Mnrcj0afbwnfZhyPRoy29JRcb4p17XsUgMUO5tyXas+xCywzAHRmKca4xWN0U+aKmox+gfV2Rrb519dx2TO5kUeI1RTMr5tOZ0wX8uqJdL+QgRWbVJTDulfTC0frEhjLnbY+IpkmBTW91U6Zo2Xmj8ELQYw+2kPgMuZJyChzklI650AxW026ir2TON2WJwcJadLqLaqnbDeouFLWaNi3QnWcnGZ6a3RYxvtdYZjb4Q+4SFqltPDYekbLqPIaeiwoCGeXh3dvVPztaj9LRY3WkKM8pHWxR0h2kmrjlNdWm9aOr6qdnkmcNGejxm/Mtt8qqyNjHlStEVSliqedjudR7Lr5Lq6KUyOm54F+EalvZqh1YhxRypjo1CdLSZvfI73hvYR7slJHkSjC+8xUFRGgnbNZBZd5tMDtKi2veV4S33pDB2VM7S62h5Xo/sWuu9A149xdmHFeAClFsQMR3DX8ohy1nNdpajxsfhVvjua4husjuiTgoXUNMjeRAULWRVlvyxQeQNoORooSvensUxH49srlPio3yWPiV2Llv8q7tzq/e0OjvHy0Vyeiekh1x3kGuCsoV1dulvmQBLMnU920H+t7qXkV4ejtKEc1xcWZ9LLEHf8I4xgR+gZJzjbuNlRbG3np5afaE4NoffO5W52ihYyQPsXwPqU4pgM8Mc+O6B30MkiJGgjfexOnHs3Ll8nZseY8eNiQacazHiL0JZNkb+ma8+uDMciRQy0DiyWxrbWySH6ghFyHSvrbuZ29eojkeachD1KiKIZK9eQ/3X8rX/0ONlYGRFSw/INZMrWud5HijGL1FEHV/lqG6Tb2lJeyWV4oaQ265+R6UpBsj2MuKQ8crXuAecu3hMvOUrGKHe20obW0apsrqQ8WtKj7O0pRvFk9/tqBZZyb+IquYFzro2jpA+jYJJHEbotl0Ve5lvNq0jdj3b2f6FudF3UmqQYCJPBJQ1x+f0IozVbygRGNY3fVzib3FofL7Wq5jPEsTiw5vI3UPsx/NZy63s/OmHBKtzCMUAUzJ3RCNUEKy38eN0q8NIjU9My94afGZO6lV1zkfiarJuJsWe1qTRw1JyrrIUuX4TGmUXjzFOHLdxrNFrU9doSnbCxRUvtVvryq8OtVYPylKXMe2QaFXtIacdSflR7LFU+xteodyytLZZWB2arvRtgz3kfpHuuL8/ub/LVPRC30bfpogdG8UsPZ2mMPpeurY7UiILk/Kmyr/bsb2ON5B6iBZWU6RynnDG069TFa5FL+gu1sqVo541F0OeW3qg22sa2sfybFeQA50SG81IjPsUWkZLfliNYskg3LJ8jwMx/B30q8juqY2a7tXknQcGfMPEmzSrDiyKFIeqfy7wdrESvB1b8GmBMOFXedQi06r9hSYEwOpPg9iwzfENylaOdBPJoQ7Sfq3aKdvGGlkQ3UOq5+NzDxlDUa8a6PbZ0j3XffgktpdbNW3e14Pkl3hw5fhfZ0evgqjZQPup86f5itDpqlSveV+lhusTX6GOKbezIwkR5RUxbfObNhSSqx4UwPlzq9aKO/PUkryMz7U75UtatNeVipoFszEuMl7hzoBLh8u6uOb2560w/whV6IWJtalTDUZLZuFTlB2xLK7NSwVKEZNdza1JirUdl64XhYa8axo6TpYzQCiaCy91Qa7sP7UK0wmdjiEJX0MnesjjRpvkZXPJ3IFxRoubok0Nsgp97U+yK/fdwKuK1KlNmM8AaaRN6SzF4R/Wz2KJaR68t6jZ9Hw7+PGLQNSd9jCtqXdmJMi+5Td2f/hu0BmMRsdKblvX7YHPhe7LKqU5/YrRwfG9iob/JqdsXzcGnJ0Uu/nxof4PrxanQ3zbV64OmzvegyKEOD32ewe+dm9b1edmcqvW1ysWXB60DeudF4+QOYHnMYtr5WKix9UbePwdpHU4rqOvV4n/th+ZjONXn5cstw2/OzjzeOrWLVGZW+sX154zh5jOayzn680zz3hmvyc2P/L+g1ptKrd68f/rSLzVjQPOaC8qH8tIR3h5FRl5fKnJ/wCVDKv4j/r7Gf5XwOqdRJkcdSnq/opyabsFT019eunqnn/nIZOiUyVSkZuKJJp6M3RUH4jb87OYeYN1TovRNJf2VWPd3tD2oPUXrobPplEFoY12EWRCzm9bDe3OOtkxieaaXzvi2oEbuiR9irTzv+wDbyzO/rULfyr8kobl+X6SiV4hMlnf5zLwKoQfFHTjKBenvfQM8U0/ZLDqBNvDYY6RzVBQp6a+f54joYVy4LOkcEXq0VFEOnZRDPJMUldAOC33r4ggfqZ1+ue8gz+d38uxSIH6NdR21OsiVmpOq4ZDqGWYGQtT/FkRovxWb8HdTld2SNlYkzfAdFCU6t55VnwRbOMeF+ZrxKubBdKZuptqlGNWb3cPqTOxeKRc68V6N71fg+5aUTXxbrzDuHovq3OG0guZUyWTv5w6FznuSHmQ028nHR3X8PKvgNfPo/71S9D1L0jsgS4jZ9gD388ZIL1G62Ufp6Vxldd72boW0+qtNomlOVppxoM9IVu8JJGrclc9+OgfJ5WqiEjr2XKcTmdxpkdhJiZ+fI4/TEB2P3vJ99ekpR2XKSjL1+BJ55iHLzIPOKSPNKUuhz0qi7MPJpY3t5f/rY7VwvHNje+vG9qOdjS9uqf8H5EPxM/FzcQ3Wvt+JL2D8N8SR6K6N1v649pe1v+4P9/+w/6f9P1PTD9YU5qei8G//b/8Ft/imRQ==</latexit> <latexit sha1_base64="tQGZ+FtykZ5fhP2XyYtnLKz3TZM=">AABF7HictVxfc9u4EYev/+7cf0n72BdenXSSnpva7nXamZubucR2El+cRIlkJ3dR4hElWqFDiYooKU50+hadvnQ67VO/Rj9HP0Bn2qd+hS52AQKUQC7opuHYBkH8dhdLYLG7ABOOkjibbG39Y+2Db337O9/93ocfrX//Bz/80Y8vXf7JcZZOx93oqJsm6fhp2MmiJB5GR5N4kkRPR+OoMwiT6En4alc+fzKLxlmcDluTt6Po+aDTH8ancbczgaqTy2sfXWlPB/Fw3m4sgnY0zLrpsDdfD9rZdHAyn7eRw3wc9RbxYlPfhsk0WpwtFkHvmt3i/GS5zduTs8X1F6Og3eBprX8C/EdZnKRDr/btJO1f82h4fX0xX283gnY6jLLP253dTSD/oj1JR7oq3F1frF9ZP7m0sXVjC/8Fq4VtVdgQ6l8jvfzxP0Vb9EQqumIqBiISQzGBciI6IoPrmdgWW2IEdc/FHOrGUIrxeSQWYh2wU2gVQYsO1L6C3324e6Zqh3AvaWaI7gKXBH7GgAzEVcCk0G4MZcktwOdTpCxry2jPkaaU7S38DRWtAdROxEuo5XC6pS9O9mUiTsXvsQ8x9GmENbJ3XUVlilqRkgdWryZAYQR1styD52ModxGp9RwgJsO+S9128Pm/sKWslfdd1XYq/o1SXoUrEE3V+zSn0BEzpB/g25zCM5InAc59oBCpPsrSG9T1AHs/hPZzqH8A1wJLWichXHOsXVQid+FyIXdZ5B24XMg7LPIQLhfykEU24HIhGwopsWPUuRvfhMuFb7KcH8HlQj5ikY/hciEfs8hjuFzIYxb5NVwu5Ncs8jZcLuRtFnkPLhfyHotsweVCtljkEVwu5BGL3IfLhdxXyPKZOoYrRToxMytvQrnIQ1qKBGpusvLdQuvowt7ymNPdEiw/q/fgrxu756HTqAS77zHuTkuw/Mi7AzbSjeVt0V1cTVzYuyz2AEaAG3vAYr8UZyXYLz1m2qsSLD/XDqGdG8tb3/tw58beZ7EPoOTG8mvUQ6hxYx96rBijEmyDxT4Sr0uwPlZ/XILl7X4T7Ioby69TLWjvxvpY02kJlrenx+DBuLH8avUEat3YJyz2qTgvwT5lsV+BdXdjv/JYYd+VYPUau44rSB/9kQhmbBW1Tj4rZWkE1DoM/yRfWxL0jUOo5zD9HNNHzIBF3MkRdzwRhzni0FuuLLejGfq7PJdmjmh6IsJ8bZKlCdu+l7eXpcQDsZcj9pYQVR6pfNe6LzP0LnQNh5zkK5cs+fQpze23LEVqPFRbXo14WEDQ2H6JI38ToyUZQUlNVVF7ma/xhAzwvgrxBqM33UvNg8dNcqtgo85ZVOhAhSzqrQP1lkVNHagpi5o5UDMWZWa+jWt7jACjf/ku5nhHI4B85PIrAK/gJqw6d2GOBjB+GuAFPsaah/C3ibE3d1VJJqN5uU7KLMfzgiUeQ2kuNqDeRIV7GF8nOMMikIxaPlQxvryTuY25mnNkhRf5Sh7kGRN/OjHK08/pSG8xwPlUj849rFmgd0elevi7+bzXpXr4fdT4Ar14KtXDT5T0kwvI3lLY1gWwTZhNI6V9U65Lg/IvREOX13HVlRZXvtWBGjOS3nlN+gfqzRxc4L3sYon0Y8r1aGRW/7JC/+rQMHrOLD3XoyK9J/J6dSmo3ZOhintNua4MKa6iQyWHuav7ZmSbnnozulyPRgM8rl2MuedWue7oHeW9MeV6NI4F5T0X6Mnrcj0afbwnfZhyPRoy29JRcb4p17XsUgMUO5tyXas+xCywzAHRmKca4xWN0U+aKmox+gfV2Rrb519dx2TO5kUeI1RTMr5tOZ0wX8uqJdL+QgRWbVJTDulfTC0frEhjLnbY+IpkmBTW91U6Zo2Xmj8ELQYw+2kPgMuZJyChzklI650AxW026ir2TON2WJwcJadLqLaqnbDeouFLWaNi3QnWcnGZ6a3RYxvtdYZjb4Q+4SFqltPDYekbLqPIaeiwoCGeXh3dvVPztaj9LRY3WkKM8pHWxR0h2kmrjlNdWm9aOr6qdnkmcNGejxm/Mtt8qqyNjHlStEVSliqedjudR7Lr5Lq6KUyOm54F+EalvZqh1YhxRypjo1CdLSZvfI73hvYR7slJHkSjC+8xUFRGgnbNZBZd5tMDtKi2veV4S33pDB2VM7S62h5Xo/sWuu9A149xdmHFeAClFsQMR3DX8ohy1nNdpajxsfhVvjua4husjuiTgoXUNMjeRAULWRVlvyxQeQNoORooSvensUxH49srlPio3yWPiV2Llv8q7tzq/e0OjvHy0Vyeiekh1x3kGuCsoV1dulvmQBLMnU920H+t7qXkV4ejtKEc1xcWZ9LLEHf8I4xgR+gZJzjbuNlRbG3np5afaE4NoffO5W52ihYyQPsXwPqU4pgM8Mc+O6B30MkiJGgjfexOnHs3Ll8nZseY8eNiQacazHiL0JZNkb+ma8+uDMciRQy0DiyWxrbWySH6ghFyHSvrbuZ29eojkeachD1KiKIZK9eQ/3X8rX/0ONlYGRFSw/INZMrWud5HijGL1FEHV/lqG6Tb2lJeyWV4oaQ265+R6UpBsj2MuKQ8crXuAecu3hMvOUrGKHe20obW0apsrqQ8WtKj7O0pRvFk9/tqBZZyb+IquYFzro2jpA+jYJJHEbotl0Ve5lvNq0jdj3b2f6FudF3UmqQYCJPBJQ1x+f0IozVbygRGNY3fVzib3FofL7Wq5jPEsTiw5vI3UPsx/NZy63s/OmHBKtzCMUAUzJ3RCNUEKy38eN0q8NIjU9My94afGZO6lV1zkfiarJuJsWe1qTRw1JyrrIUuX4TGmUXjzFOHLdxrNFrU9doSnbCxRUvtVvryq8OtVYPylKXMe2QaFXtIacdSflR7LFU+xteodyytLZZWB2arvRtgz3kfpHuuL8/ub/LVPRC30bfpogdG8UsPZ2mMPpeurY7UiILk/Kmyr/bsb2ON5B6iBZWU6RynnDG069TFa5FL+gu1sqVo541F0OeW3qg22sa2sfybFeQA50SG81IjPsUWkZLfliNYskg3LJ8jwMx/B30q8juqY2a7tXknQcGfMPEmzSrDiyKFIeqfy7wdrESvB1b8GmBMOFXedQi06r9hSYEwOpPg9iwzfENylaOdBPJoQ7Sfq3aKdvGGlkQ3UOq5+NzDxlDUa8a6PbZ0j3XffgktpdbNW3e14Pkl3hw5fhfZ0evgqjZQPup86f5itDpqlSveV+lhusTX6GOKbezIwkR5RUxbfObNhSSqx4UwPlzq9aKO/PUkryMz7U75UtatNeVipoFszEuMl7hzoBLh8u6uOb2560w/whV6IWJtalTDUZLZuFTlB2xLK7NSwVKEZNdza1JirUdl64XhYa8axo6TpYzQCiaCy91Qa7sP7UK0wmdjiEJX0MnesjjRpvkZXPJ3IFxRoubok0Nsgp97U+yK/fdwKuK1KlNmM8AaaRN6SzF4R/Wz2KJaR68t6jZ9Hw7+PGLQNSd9jCtqXdmJMi+5Td2f/hu0BmMRsdKblvX7YHPhe7LKqU5/YrRwfG9iob/JqdsXzcGnJ0Uu/nxof4PrxanQ3zbV64OmzvegyKEOD32ewe+dm9b1edmcqvW1ysWXB60DeudF4+QOYHnMYtr5WKix9UbePwdpHU4rqOvV4n/th+ZjONXn5cstw2/OzjzeOrWLVGZW+sX154zh5jOayzn680zz3hmvyc2P/L+g1ptKrd68f/rSLzVjQPOaC8qH8tIR3h5FRl5fKnJ/wCVDKv4j/r7Gf5XwOqdRJkcdSnq/opyabsFT019eunqnn/nIZOiUyVSkZuKJJp6M3RUH4jb87OYeYN1TovRNJf2VWPd3tD2oPUXrobPplEFoY12EWRCzm9bDe3OOtkxieaaXzvi2oEbuiR9irTzv+wDbyzO/rULfyr8kobl+X6SiV4hMlnf5zLwKoQfFHTjKBenvfQM8U0/ZLDqBNvDYY6RzVBQp6a+f54joYVy4LOkcEXq0VFEOnZRDPJMUldAOC33r4ggfqZ1+ue8gz+d38uxSIH6NdR21OsiVmpOq4ZDqGWYGQtT/FkRovxWb8HdTld2SNlYkzfAdFCU6t55VnwRbOMeF+ZrxKubBdKZuptqlGNWb3cPqTOxeKRc68V6N71fg+5aUTXxbrzDuHovq3OG0guZUyWTv5w6FznuSHmQ028nHR3X8PKvgNfPo/71S9D1L0jsgS4jZ9gD388ZIL1G62Ufp6Vxldd72boW0+qtNomlOVppxoM9IVu8JJGrclc9+OgfJ5WqiEjr2XKcTmdxpkdhJiZ+fI4/TEB2P3vJ99ekpR2XKSjL1+BJ55iHLzIPOKSPNKUuhz0qi7MPJpY3t5f/rY7VwvHNje+vG9qOdjS9uqf8H5EPxM/FzcQ3Wvt+JL2D8N8SR6K6N1v649pe1v+4P9/+w/6f9P1PTD9YU5qei8G//b/8Ft/imRQ==</latexit> ! Convolution on regular grids, separable kernels. <latexit sha1_base64="VSlF+Rn5yEcfLOicilDWxY4eMxI=">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</latexit> <latexit sha1_base64="VSlF+Rn5yEcfLOicilDWxY4eMxI=">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</latexit> <latexit sha1_base64="VSlF+Rn5yEcfLOicilDWxY4eMxI=">AABB/3ictVxPdxtJEe8s/zbhXxaOXAac8LK8YByz7wFvH7x1ZMfxRps4kZxkd5XkjaSxPPFIo8xIchKtL3wWDpx4XDlx5woXvgGc+ApUVXdP90g9Uz0mpNd2T6t/VdU13dVV1a3tT5M4n21t/fPSe1/7+je++a33L1/59ne++73vX/3gB4/zdJ4NoqNBmqTZ036YR0k8iY5m8SyJnk6zKBz3k+hJ/7SFnz9ZRFkep5Pu7M00ejYOR5P4OB6EM2h6cfV313pZPDqZhVmWnl0LWulkkSZz/CyA/7JoNE/CLBhl8TC/GeTRNMxCIB2cRtkkSvLNF1c3tja36F+wXrmlKhtC/TtMPwiORE8MRSoGYi7GIhITMYN6IkKRQ/lS3BJbYgptz8QS2jKoxfR5JM7FFcDOoVcEPUJoPYXfI3j6UrVO4Blp5oQeAJcEfjJABuI6YFLol0EduQX0+ZwoY2sV7SXRRNnewN++ojWG1pk4gVYOp3v64nAsM3Esfk1jiGFMU2rB0Q0UlTlpBSUPrFHNgMIU2rA+hM8zqA8IqfUcECansaNuQ/r8X9QTW/F5oPrOxb9JyutQAtFRo08LCqFYEP2A3uYcPpPyJMB5BBQiNUasnZGuxzT6CfRfQvt9KOdU0zrpQ1lS63ktsgXFhWyxyH0oLuQ+i2xDcSHbLPIQigt5qJCIzUjnbnwHigvfYTk/hOJCPmSRj6C4kI9Y5GMoLuRjFvkFFBfyCxZ5B4oLeYdF3oPiQt5jkV0oLmSXRR5BcSGPWOQeFBdyTyGrV2oGJSU6MbMqd6Be5oGWIoGWHVa+22QdXdjbHmt6UIHlV/Uu/HVjdz10GlVg9zzm3XEFlp95+2Aj3VjeFt2l3cSFvctiD2AGuLEHLPZT8bIC+6nHSjutwPJrrQ393Fje+n4GT27sZyz2PtTcWH6PegAtbuwDjx1jWoE9ZLEPxasKrI/VzyqwvN3vgF1xY/l9qgv93VgfazqvwPL29DF4MG4sv1s9gVY39gmLfSpeV2CfstjPwbq7sZ977LBvK7B6j71CO8iI/JEIVmwdtbBYlVibArWQ4Z8Ue0tCvnEf2jnMqMCMCDNmEfsFYt8T0S4QbW+58sKO5uTv8lw6BaLjiegXexPWZmz/YdEfa4kHYrdA7K4g6jxSfNd6LAvyLnQLh5wVOxfWfMaUFvYba5GaD/WWVyMelBBybp/QzL9J0RJGUKipOmonxR4vkQE91yHOKHrTo9Q8eNyssAo26jWL6jtQfRb1xoF6w6LmDtScRS0cqAWLMivfxvU8ZoDRP76LJT3JGSB95OoSgFewA7vOXVijAcyfQ/ACH1HLA/jbodibK3WSYTSP+yRmOZ6VLHEGtaXYgHYTFe5SfJ3QCotAMtnzgYrx8QlzG0u15qQVPi928qDImPjTiUmeUUEHvcWA1lMzOveo5Zy8O1lrhr9brHtda4bfI42fkxcva83wMyX97AKydxW2ewFsB1bTVGnf1JvSkPkXSUPXr9CuixYX3+pYzRmk97oh/QP1Zg4u8F5aVJP6MfVmNHJrfHlpfE1oGD3nlp6bUUHvSXq9uhY0HslExb2m3lSGlHbRiZLDPDV9M9hnqN6MrjejcQgeV4ti7qVVbzp7p8VoTL0ZjcdC5j3PyZPX9WY0RvQs9WHqzWhgtiVUcb6pN7XsqAEZO5t6U6s+oSww5oDknJctxivKyE+aK2ox+Qf12Rrb51/fxzBn87yIEeopGd+2mk6/2MvqJdL+QgRWbdZQDvQv5pYPVqaxFNtsfCVlmJX293U6Zo9HzbdBiwGsfnkGwOXME5BQ5yTQeidA8RYbdZVHpnHbLA5nyfEKqqdaZ6y3aPjKrFG57QW1cnGZGa3RY4/sdU5zb0o+YZs0y+mhXfmGqyhyGmqXNMTTa6K7t2q9lrW/xeKmK4hpMdMGdCIkT9Lq41SX1juWjq+rU54ZFHnmY+YvZpuPlbXBmCclW4Sy1PG0++k8kt2G++pNYXLc8rOA3ijaqwVZjZhOpHI2CtXZYumNL+nZ0D6iMznkIWkM4D0GispUyFMzzKJjPj0gi2rbW4436ktn6GQ9J6ur7XE9emShRw508xinBTvGfah1IWY4gqeuR5RzpdBVShrPxM+L09GU3mB9RJ+ULKSmIe1NVLKQdVH2SYnKGaBxNsgo3Z/GKh2N761R4qN+lzwmdi1b/ut0cqvPt0Oa49WzuToTMySu28Q1oFUjT3Xl0yoHKcHS+ck2+a/1o0R+TTiiDeW4Prc4S71M6MQ/ogh2Sp5xQquNWx3l3nZ+avUTzelQ6LNzPM1OyUIGZP8C2J9SmpMB/dh3B/QJurQICdlIH7sTF96Ny9eJ2Tlm/LhYyFsNZr5FZMvmxF/TtVdXTnNRRgxyHzhfmdtaJ23yBSPiminrbtZ2/e6DSHNPwp4lkqKZKzeI/4f0W//oebKxNiNQw/gGcmXrXO8jpZgFdRTSLl9vg3RfW8prhQzPldRm/zMyXStJtksRF8qDu/UQOA/oWfLCWZKR3PlaH7mP1mVzkfJ0RY842mOK4qXdH6kdGOW+SbvkBq25Hs2SEcyCWRFF6L5cFnmVbz2vMnU/2vn/hbrRdVlrSDEQJoMrNcTl9yOK1mwpE5jVcv6e0mpyaz1b6VXPZ0JzcWyt5a+g9cfwW8utn/3o9EtW4TbNAUnBPBmNyJZgrYcfr9slXnpmalrm2fAzc1L3slsuEl9L62Zi7EVjKoc0a16rrIWuX4TGS4vGS08ddums0WhRt2tL9IKNLbrqtNKXXxNu3QaU5yxl3iPTqNhDSjuW8qM6ZKnyMb5GvWVpbbG0Qlit9mmAveZ9kO61vrq6vyp290DcId9mQB6YjF+GtEpj8rl0a32kJikg54+UfbVXf49akHufLChSlvc4ccXIU6cBlfNC0p+qnS0lO28sgr63dKb6aBvbo/ov15BjWhM5rUuN+Ih6REp+W45gxSJtWj5HQJn/kHwq6XfUx8x2b/NOgpI/YeJNuaoMLxkpTEj/XObtYC16PbDi14BiwrnyrvtAq/kbRgoSozMJbs8ypzeEu5w8SZAebZ/s57qdkqd4E0uiTZJ6KX7rYWNk1Gvmuj239Ij12H4GPVHr5q27evD8Em+OHL+LnOiFtKuNlY+6XHm+GK1Q7XLl5zo9zFf4Gn3MqY8dWZgor4zpiY+9uUiJmnGRGB8uzUbRRP5mkjeRWZ5O+VLWvTXlcqZB2pgTipe4e6CIcHl3N5ze3IfMOPpr9PqEtanJFo4SZuNSlR+wLS1mpS6v7UOy9XLtbpRYO1HVTqGp27uFsd/SQkZk/RLB5Wxkb1v2XilK4bMwksJAyBu9VfGhTfNjKPg7EK7oUHP0yR12wL/dES2x9w5uQ7xSdZnRDKgFbcFwJfYO1TjLPep19MqibtP34eDPIwZdc9LHtJM2lV1S5iW3qfvTPyMrkImIld70bD4Gmws/knVOTcYTk2XjRxML/V2cpmPRHHxGUubiz0eea3CjOBb6O03NxqCp8yMoc2jCQ99j8HvnpndzXjanen2tc/HlIXcBfeKicXjyVx2rmH4+Fiqz3si754DW4biGut4t/tdxaD6GU3Nevtxy+q7ZS4+3LvtFKiOL/nDzNWO4+czmao7+PNNidMZbcvOTfl/Q6E2l1mjePX30R80c0LyWQuZBeekk3p5FRl5fKngu4JIhFf8Rf73EfxvhVUGjSo4mlPQ5RTU13YOnpr9x6Rqd/sxHJkOnSqYyNRNHdOhGbEsciDvw0yo8wKa3Q+V3KeVfxLq/PzuE1mOyHjqLLjMHPWqLKPthTtGG9Gzuz1ZJjHd55d3eLrTgWXibWvGe733qj3d9u6WxVX+DRK71z0QqhqWIZPV0z6yrPoygfPImc0D6e74B3aWXWSx582zscbao70+tSrSkT/ibBf1KfN+SckBzdarO6vHkAG/Yh0V+KBC/oLZQ2XnccznOh5WcD1c456SdMofX1mf1d7OquLQsLsMid7ZQ/VKKs815Xn1udLeSi7yDXo8f1eBHlpQd0v4pRcKZqM/mzWtozpVM9gnrROhMpNQDxplh8b7rI9tFDa+Fx/jvVaLvWZLugyx9yn8HdMKWEb1E6WaPpJc3HeszqXdrpFXfo3xxdePW6v/LYL1ytL35m81bD7c3Prmt/jcH74sfiZ+IG7DEfyU+AWKH4ggY/EH8Tfxd/GPn9zt/3PnTzp9l1/cuKcwPRenfzl/+C/fFubs=</latexit> <latexit sha1_base64="VSlF+Rn5yEcfLOicilDWxY4eMxI=">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</latexit> <latexit sha1_base64="VSlF+Rn5yEcfLOicilDWxY4eMxI=">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</latexit> ! Parallelizable on GPUs. <latexit sha1_base64="CwxDT3eySXsGi91QyQP8+7DZ8Cw=">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</latexit> <latexit sha1_base64="CwxDT3eySXsGi91QyQP8+7DZ8Cw=">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</latexit> <latexit sha1_base64="CwxDT3eySXsGi91QyQP8+7DZ8Cw=">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</latexit> <latexit sha1_base64="CwxDT3eySXsGi91QyQP8+7DZ8Cw=">AABFB3ictVxfb9vIEd9c/9w1/ZdrH/vCq+MiV6Su7V7RAocCl1iO44uTKJHs5C5KAlKiZSW0qJCSnETnD1D0wxR9KYr2oejH6Aco0D71K3Rmdpe7lJacpZsLYXu53N/M7HB3dmZ2mWiSjPLp5uY/L733jW9+69vvf/Cdy9/93vd/8MMrH/7oKE9nWT8+7KdJmj2OwjxORuP4cDqaJvHjSRaHp1ESP4pe7uDzR/M4y0fpuDt9M4mfnobD8eh41A+nUPX8yvrVXjYankzDLEvPrgbtMAuTBKi9DYFCkI6DvfZhvvH8ytrmxib9C1YLW6qwJtS/dvrhR/8SPTEQqeiLmTgVsRiLKZQTEYocridiS2yKCdQ9FQuoy6A0ouexOBeXATuDVjG0CKH2Jfwewt0TVTuGe6SZE7oPXBL4yQAZiHXApNAugzJyC+j5jChjbRXtBdFE2d7A30jROoXaqTiBWg6nW/risC9TcSx+S30YQZ8mVIO96ysqM9IKSh5YvZoChQnUYXkAzzMo9wmp9RwQJqe+o25Dev5vaom1eN9XbWfiPyTlOlyB6KjepwWFUMyJfkBvcwbPpDwJcB4ChVj1EUtnpOtT6v0Y2i+g/h5c51TSOongWlDteS1yBy4XcodF7sHlQu6xyAO4XMgDFtmGy4VsKyRiM9K5G9+By4XvsJwfwOVCPmCRD+FyIR+yyCO4XMgjFvklXC7klyzyFlwu5C0WeQcuF/IOi+zC5UJ2WeQhXC7kIYvchcuF3FXI6pmawZUSnREzK29AucwDLUUCNTdY+W6SdXRhb3rM6X4Flp/VLfjrxrY8dBpXYHc9xt1xBZYfeXtgI91Y3hbdptXEhb3NYvdhBLix+yz2c/GiAvu5x0x7WYHl59oBtHNjeet7F+7c2Lss9h6U3Fh+jboPNW7sfY8VY1KBbbPYB+JVBdbH6mcVWN7ud8CuuLH8OtWF9m6sjzWdVWB5e3oEHowby69Wj6DWjX3EYh+L1xXYxyz2C7DubuwXHivs2wqsXmMv0woyJH8khhlbRy0sZiWWJkAtZPgnxdqSkG8cQT2HGRaYIWFOWcRegdjzRBwUiANvufLCjubk7/JcOgWi44mIirUJS1O2/aBoj6XEA9EqEK0lRJ1Hiu9a92VO3oWu4ZDTYuXCkk+f0sJ+YylW46He8mrE/RJCju0TGvnXKVrCCAo1VUftpFjjJTKg+zrEGUVvupeaB4+bFlbBRr1mUZEDFbGoNw7UGxY1c6BmLGruQM1ZlJn5Nq7nMQKM/vFdLOhOjgDpI1dfAXgFN2DVuQ1zNIDx0wYv8CHV3Ie/HYq9uatOMozmcZ3ELMfTkiXOoLQQa1BvosIWxdcJzbAYJJMt76sYH+8wt7FQc05a4fNiJQ+KjIk/nRHJMyzooLcY0HxqRucO1ZyTdydLzfC3i3mvS83wu6Txc/LiZakZfqqkn15A9q7Cdi+A7cBsmijtm3JTGjL/Imno8mVaddHi4ls9VWMG6b1uSH9fvZn9C7yXHSpJ/ZhyMxq51b+81L8mNIyec0vPzaig9yS9Xl0KGvdkrOJeU24qQ0qr6FjJYe6avhlsM1BvRpeb0WiDx7VDMffCKjcdvZOiN6bcjMaRkHnPc/LkdbkZjSHdS32YcjMamG0JVZxvyk0tO2pAxs6m3NSqjykLjDkgOeZljfGKMvKTZoraiPyD+myN7fOvrmOYs3lWxAj1lIxvW00nKtayeom0vxCDVZs2lAP9i5nlg5VpLMQ2G19JGaal9X2VjlnjUfMHoMUAZr/cA+By5glIqHMSaL0ToLjFRl3lnmncNovDUXK8hOqp2inrLRq+MmtUrntOtVxcZnpr9Ngje53T2JuQT3hAmuX0cFD5hqsocho6KGmIp9dEd2/VfC1rf5PFTZYQk2Kk9WlHSO6k1cepLq13LB2vq12eKVxyz8eMX8w2HytrgzFPSrYIZanjabfTeSS7DtfV68LkuOWzgN4o2qs5WY0R7UjlbBSqs8XSG1/QvaF9SHtyyEPS6MN7DBSViZC7ZphFx3x6QBbVtrccb9SXztDJck5WV9vjevTQQg8d6OYxzg6sGPeg1IWY4RDuuh5RzuVCVylpPBO/KHZHU3qD9RF9UrKQmoa0N3HJQtZF2SclKmeAxtEgo3R/Gst0NL63QomP+l3ymNi1bPnXaedW72+HNMarR3N1JmZAXLeJa0CzRu7qyrtlDlKChfPJNvmv9b1Efk04og3luD6zOEu9jGnHP6YIdkKecUKzjZsd5dZ2fmr5iebUFnrvHHezU7KQAdm/ANanlMZkQD/22QG9gy4tQkI20sfujArvxuXrjNgxZvy4kZCnGsx4i8mWzYi/pmvPrpzGoowY5DpwvjS2tU4OyBeMiWumrLuZ2/WrDyLNOQl7lEiKZqxcI/4f02/9o8fJ2sqIQA3jG8iVrXO9j5RiFtRRSKt8vQ3SbW0prxYyPFNSm/XPyHS1JFmLIi6UB1frAXDu073khaMkI7nzlTZyHa3L5iLlyZIesbfHFMVLuz9UKzDKfZ1WyTWacz0aJUMYBdMiitBtuSzyMt96XmXqfrTzr4W60XVZa0gxECaDKzXE5fdjitZsKRMY1XL8vqTZ5NZ6ttSqns+YxuKpNZe/gtqP4LeWW9/70YlKVuEmjQFJwdwZjciaYKWFH6+bJV56ZGpa5t7wM2NSt7JrLhJfS+tmYux5YyptGjWvVdZCly9C44VF44WnDru012i0qOu1JXrOxhZdtVvpy68Jt24DyjOWMu+RadTIQ0o7lvKjOmCp8jG+Rr1laW2ytEKYrfZugD3nfZDuub48u78qVvdA3CLfpk8emIxfBjRLR+Rz6dr6SE1SQM6fKPtqz/4e1SD3iCwoUpbnOHHGyF2nPl3nhaQ/UytbSnbeWAR9bulMtdE2tkflX60gT2lO5DQvNeITahEr+W05giWLtGH5HAFl/kPyqaTfUR8z263NOwlK/oSJN+WsMrxkpDAm/XOZt/2V6HXfil8DiglnyruOgFbzN4wUJEZnEtyeZU5vCFc5uZMgPdqI7OeqnZK7eGNLog2SeiF+52FjZNRrxro9tnSPdd9+Di1R6+atu1rw/BJvjhy/i+zohbSqnSofdbF0fzFaoVrlyvd1epgt8TX6mFEbO7IwUV4Z0xOfenOREjXjIjE+XJr1oon8zSRvIrPcnfKlrFtryuVMg7QxJxQvcedAEeHy7q45vbmPmX5EK/QiwtrUZA1HCbNxqcoP2JYWs1LBUoRk13NrUmKtR1XrheFhrxrGjktLGZMVTASXu5Gt7T70StEKn42RFPpCnuytihNtmp/Chb8D4YoSNUefHGIH/NwbYkfsvoNTEa9UWWY2A6pBmzBYisFD1c9yi3odvbKo2/R9OPjzGIGuOelHtKI2lV1S5iW3qfvTPyNrkImYld60bN4Hmwvfk1VOTfozIgvH92Yk9Dc5TfuiOfj0pMzFn4/c3+B6cSz0t03N+qCp8z0oc2jCQ59n8HvnpnVzXjanen2tcvHlIdcBvfOicbgDWB2zmHY+Fiqz3si754DW4biGul4t/t9+aD6GU3Nevtxy+ubshcdbl+1ilZlFv7j5nDHcfEZzNUd/nmnRO+M1uflJ/y9o9KZSqzfvnj76pWYMaF4LIfOhvHQSb48iI68vFdwfcMmQiv+Kv1/iv0p4VdCokqMJJb1fUU1Nt+Cp6S8vXb3Tz3xkMnSqZCpTM/FEh07G7oh9cQt+dgoPsOkpUflNpfyLWPd3tAOoPSbrobPpMoPQo7qYsiBmN21A9+YcbZXEeKZXnvHtQg3uiR9QLZ73vUft8cxvt9S36i9J5Fy/K1IxKEUmy7t8Zl5F0IPyDpzMBenvfQM6Uy+zWfIE2qnHHqM8RyUjJf3184IQA4oLlyVdEEKPljrKkZNyRGeS4graUalvfRrhE7XTj/sOeD4/LLJLgfgl1YVqdcCVmpOq7ZDqCWUGItL/JkRovxbX4e91VXZL2l6RNKd3UJbotfWs/iTYuXNcmK8Z1ykPpjN1c9Uupaje7B7WZ2JblVzkifd6/LAGP7Sk7NDbeklxdybqc4ezGpozJZO9nzsWOu8p9YDRbFiMj/r4eV7Da+7R/zuV6DuWpHsgS0TZ9oD28zKilyjd7JL08lxlfd72do20+qtNSdOcrDTjQJ+RrN8TSNS4q5798hwkl6uJK+jYc12eyOROi4yclPj5OfE4DRF69Jbvq09POSozVpKZx5fIcw9Z5h50jhlpjlkKQ1YSZR+eX1nbWv6/PlYLR9sbW5sbWw+21z67qf4fkA/ET8RPxTVY+34jPoPx3xaHwOkP4k/ir+Jvrd+3/tj6c+svsul7lxTmx6L0r/WP/wFt/E5O</latexit> Matrix/vector multiplications: ! O(n2 /"2) complexity. <latexit sha1_base64="I3AjDSSV59STpr3f22wEYBTkxd8=">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</latexit> <latexit sha1_base64="I3AjDSSV59STpr3f22wEYBTkxd8=">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</latexit> <latexit sha1_base64="I3AjDSSV59STpr3f22wEYBTkxd8=">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</latexit> <latexit sha1_base64="I3AjDSSV59STpr3f22wEYBTkxd8=">AABFLnictVxtb9y4EWaub9f0Ldd+7Bdd7RRJkTq2e0WLHgpc4nUcXzaJk107ucsmwb7IayXa1UbaXTvZ838q+gf6L4r2Q1G0QIHrp/6FDmdIkdqlNJSbRrBNUXxmhiNyODOk0pvEUTbd3PzrpQ++8c1vffs7H3738ve+/4Mf/ujKRz8+ypJZ2g8P+0mcpE973SyMo3F4OI2mcfh0kobdUS8On/Re78jnT+ZhmkXJuD19Owmfj7rDcXQc9btTqHp5pXm/O02js5vzsD9N0mA0i6cR8KXH2e+C9U4aDU+m3TRNTteD9YfXxi+2b3bCSRbFCRSvrwf9ZDSJw7No+nbj5ZW1zY1N/BesFrZUYU2ofwfJRx//S3TEQCSiL2ZiJEIxFlMox6IrMrieiS2xKSZQ91wsoC6FUoTPQ3EuLgN2Bq1CaNGF2tfwewh3z1TtGO4lzQzRfeASw08KyEBcBUwC7VIoS24BPp8hZVlbRnuBNKVsb+FvT9EaQe1UnEAth9MtfXGyL1NxLH6LfYigTxOskb3rKyoz1IqUPLB6NQUKE6iT5QE8T6HcR6TWc4CYDPsuddvF519jS1kr7/uq7Uz8G6W8ClcgWqr3SU6hK+ZIP8C3OYNnJE8MnIdAIVR9lKVT1PUIez+G9guofwDXOZa0TnpwLbD2vBK5A5cLucMi9+ByIfdYZBMuF7LJIg/gciEPFFJiU9S5G9+Cy4VvsZwfweVCPmKRj+FyIR+zyCO4XMgjFvklXC7klyzyDlwu5B0WeQ8uF/Iei2zD5UK2WeQhXC7kIYvchcuF3FXI8pmawpUgnYiZlbegXOQhLUUMNbdY+W6jdXRhb3vM6X4Jlp/VDfjrxjY8dBqWYHc9xt1xCZYfeXtgI91Y3hbdxdXEhb3LYvdhBLix+yz2c/GqBPu5x0x7XYLl51oT2rmxvPW9D3du7H0W+wBKbiy/Rj2EGjf2oceKMSnBHrDYR+JNCdbH6qclWN7ut8CuuLH8OtWG9m6sjzWdlWB5e3oEHowby69WT6DWjX3CYp+KsxLsUxb7BVh3N/YLjxX2XQlWr7GXcQUZoj8SwoytotbNZ6UsTYBal+Ef52tLjL5xD+o5zDDHDBEzYhF7OWLPE9HMEU1vubLcjmbo7/JcWjmi5Yno5WuTLE3Z9oO8vSzFHohGjmgsIao8UvmudV/m6F3oGg45zVcuWfLpU5Lbb1kK1Xiotrwa8bCAoLF9giP/BkZLMoKSmqqidpKv8YQM8L4KcYrRm+6l5sHjprlVsFFnLKrnQPVY1FsH6i2LmjlQMxY1d6DmLMrMfBvX8RgBRv/yXSzwjkYA+cjlVwBewS1Yde7CHA1g/ByAF/gYax7C3xbG3txVJZmM5uU6KbMczwuWOIXSQqxBvYkKGxhfxzjDQpCMWj5UMb68k7mNhZpzZIXP85U8yDMm/nQilGeY05HeYoDzqR6de1hzjt4dlerh7+bzXpfq4XdR4+foxVOpHn6qpJ9eQPa2wrYvgG3BbJoo7ZtyXRqUfyEaunwZV11pceVbHakxI+md1aS/r97M/gXeyw6WSD+mXI9GZvUvK/SvDg2j58zScz0q0nsir1eXgto9Gau415TrypDgKjpWcpi7um9GthmoN6PL9WgcgMe1gzH3wirXHb2TvDemXI/GkaC85zl68rpcj8YQ70kfplyPhsy2dFWcb8p1LbvUAMXOplzXqo8xCyxzQDTmqcZ4RSn6STNFLUL/oDpbY/v8q+uYzNm8yGOEakrGty2n08vXsmqJtL8QglWb1pRD+hczywcr0liIbTa+IhmmhfV9lY5Z46Xmm6DFAGY/7QFwOfMYJNQ5CWm9Y6C4xUZdxZ5p3DaLk6PkeAnVUbVT1ls0fClrVKx7ibVcXGZ6a/TYQXud4diboE/YRM1yemiWvuEyipyGmgUN8fTq6O6dmq9F7W+yuMkSYpKPtD7uCNFOWnWc6tJ6y9LxVbXLM4WL9nzM+JXZ5mNlbWTMk6AtkrJU8bTb6TySXSfX1RvC5LjpWYBvVNqrOVqNCHekMjYK1dli8sYXeG9oH+KenORBNPrwHgNFZSJo10xm0WU+PUCLattbjrfUl87QUTlDq6vtcTV6aKGHDnT9GGcHVowHUGpDzHAId22PKOdyrqsENZ6KX+a7owm+weqIPi5YSE2D7E1YsJBVUfZJgcopoOVooCjdn8YyHY3vrFDio36XPCZ2LVr+q7hzq/e3uzjGy0dzeSZmgFy3kWuAs4Z2delumQNJsHA+2Ub/tbqXkl8djtKGclxfWJxJL2Pc8Q8xgp2gZxzjbONmR7G1nZ9afqI5HQi9dy53sxO0kAHavwDWpwTHZIA/9tkBvYNOFiFGG+ljd6Lcu3H5OhE7xowfFwk61WDGW4i2bIb8NV17dmU4FilioHXgfGlsa5000RcMkWuqrLuZ29Wrj0SacxL2KCGKZqxcQ/7X8bf+0eNkbWVESA3LN5ApW+d6HwnGLFJHXVzlq22QbmtLuZ7L8EJJbdY/I9N6QbIGRlxSHrlaD4BzH++JlxwlKcqdrbShdbQqmyspT5b0KHt7jFE82f2hWoGl3DdwlVzDOdfBUTKEUTDNowjdlssiL/Ot5lWk7kc7+79QN7ouak1SDITJ4JKGuPx+iNGaLWUMo5rG72ucTW6tp0utqvmMcSyOrLn8FdR+DL+13Prej06vYBVu4xggCubOaIRqgpUWfrxuF3jpkalpmXvDz4xJ3cquuUh8TdbNxNjz2lQOcNScqayFLl+ExiuLxitPHbZxr9FoUddrS/SSjS3aarfSl18dbu0alGcsZd4j06jIQ0o7lvKjOmCp8jG+Rr1jaW2ytLowW+3dAHvO+yDdc315dn+Vr+6BuIO+TR89MIpfBjhLI/S5dG11pEYUJOdPlH21Z38HayT3HlpQSZnOccoZQ7tOfbzOc0l/rla2BO28sQj63NKpaqNtbAfLv1pBjnBOZDgvNeITbBEq+W05giWLtGH5HAFm/rvoU5HfUR0z263NOwkK/oSJN2lWGV4UKYxR/1zmbX8let234tcAY8KZ8q57QKv+G5YUCKMzCW7PMsM3JFc52kkgj7aH9nPVTtEu3tiSaAOlXojfe9gYinrNWLfHlu6x7tsvoKXUunnrrhY8v9ibI8fvIjt6XVzVRspHXSzdX4xWV61yxfsqPcyW+Bp9zLCNHVmYKK+I6YhPvbmQRPW4EMaHS71e1JG/nuR1ZKbdKV/KurWmXMw0kI05wXiJOwcqES7v7prTm7vO9KO3Qq+HWJsa1XCUZDYuUfkB29LKrFSwFCHZ9dyaFFvrUdl6YXjYq4ax42QpQ7SCseByN9Ta7kOnEK3w2Rii0Bd0srcsTrRpfgqX/B0IV5SoOfrkEFvg594SO2L3PZyKeKPKlNkMsEbahMFSDN5V/Sy2qNbRG4u6Td+Hgz+PCHTNSR/hilpXdqLMS25T96d/itYgFSErvWlZvw82F74nq5zq9CdCC8f3JhL6m5y6fdEcfHpS5OLPh/Y3uF4cC/1tU70+aOp8D4oc6vDQ5xn83rlpXZ+XzalaX6tcfHnQOqB3XjRO7gCWxyymnY+FSq038v45SOtwXEFdrxb/az80H8OpPi9fbhl+c/bK461Tu1BlZqVfXH/OGG4+o7mcoz/PJO+d8Zrc/Mj/C2q9qcTqzfunL/1SMwY0r4WgfCgvHeHtUWTk9aUi9wdcMiTiP+JPl/ivEt7kNMrkqENJ71eUU9MteGr6y0tX7/QzH5kMnTKZitRMPNHCk7E7Yl/cgZ+d3AOse0qUvqmkvxLr/o52ALXHaD10Np0yCB2sCzELYnbTBnhvztGWSSzP9NIZ3zbUyD3xJtbK874PsL0889su9K38SxKa6/dFIgaFyGR5l8/Mqx70oLgDR7kg/b1vgGfqKZtFJ9BGHnuMdI6KIiX99fMCEQOMC5clXSBCj5Yqyj0n5R6eSQpLaPcKfevjCJ+onX657yDP53fz7FIgbmJdV60OcqXmpDpwSPUMMwM91P8mRGi/Fjfg7w1Vdkt6sCJphu+gKNGZ9az6JNi5c1yYrxmvYh5MZ+rmql2CUb3ZPazOxDZKudCJ92r8sAI/tKRs4dt6jXF3Kqpzh7MKmjMlk72fOxY670l6kNFsNx8f1fHzvILX3KP/90rR9yxJ90CWHmbbA9zPS5FerHSzi9LTucrqvO3dCmn1V5tE05ysNONAn5Gs3hOI1bgrn/10DpLL1YQldOy5TicyudMikZMSPz8nHqchuh695fvq01OOyoyVZObxJfLcQ5a5B51jRppjlsKQlUTZh5dX1raW/6+P1cLR9sbW5sbWo+21z26r/wfkQ/FT8TNxDda+34jPYPwfiEPg9EfxF/EP8c/GHxp/bvyt8Xdq+sElhfmJKPxrfP1f8x1eLw==</latexit> Pi,j = ui Ki,j vj <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">AABFYnictVxfcxu3EYfSf6maNnYz7Uv7cKnsjtNRXUlNp51mMhNbkmVFik2blOzEtDU88kiffOLRPJL+w3Cm36yfo+9tp33qV+hiFzjgSNwtTnV1IxEH4re72AMWuwucwlESZ5Otrb+tvfed737v+z94/4frP/rgxz/58MrVn55m6XTcjU66aZKOH4edLEriYXQyiSdJ9Hg0jjoXYRI9Cl/syu8fzaJxFqfD1uTNKHp60RkM437c7Uyg6uzKX661G2fzeRspzcdRbxEvNvVtmEyjxfliEax/HqzbbYL2dO8sDuDzz+vtIxa/Ds0KdUF7tnd2Dvj1a2dXNrZubuFPsFrYVoUNoX4a6dWP/yHaoidS0RVTcSEiMRQTKCeiIzK4nohtsSVGUPdUzKFuDKUYv4/EQqwDdgqtImjRgdoX8HcAd09U7RDuJc0M0V3gksDvGJCBuA6YFNqNoSy5Bfj9FCnL2jLac6QpZXsDn6GidQG1E/EcajmcbumLk32ZiL74E/Yhhj6NsEb2rquoTFErUvLA6tUEKIygTpZ78P0Yyl1Eaj0HiMmw71K3Hfz+X9hS1sr7rmo7Ff9GKa/DFYim6n2aU+iIGdIP8GlO4TuSJwHOA6AQqT7K0ivU9QX2fgjt51B/D64FlrROQrjmWLuoRO7C5ULussgDuFzIAxZ5DJcLecwiG3C5kA2FlNgx6tyNb8LlwjdZzg/gciEfsMiHcLmQD1nkKVwu5CmL/AYuF/IbFnkHLhfyDos8gsuFPGKRLbhcyBaLPIHLhTxhkftwuZD7Clk+U8dwpUgnZmblLSgXeUhLkUDNLVa+22gdXdjbHnO6W4LlZ/UefLqxex46jUqw+x7jrl+C5UfeAdhIN5a3RXdxNXFh77LYQxgBbuwhi/1SnJdgv/SYaS9KsPxcO4Z2bixvfb+COzf2KxZ7D0puLL9G3YcaN/a+x4oxKsE2WOwD8bIE62P1xyVY3u43wa64sfw61YL2bqyPNZ2WYHl7egoejBvLr1aPoNaNfcRiH4vXJdjHLPZrsO5u7NceK+zbEqxeY9dxBRmgPxLBjK2i1slnpSyNgFqH4Z/ka0uCvnEI9RxmkGMGiLlgEQc54sATcZwjjr3lynI7mqG/y3Np5oimJyLM1yZZmrDte3l7WUo8EHs5Ym8JUeWRymet+zJD70LXcMhJvnLJkk+f0tx+y1KkxkO15dWI+wUEje3nOPI3MVqSEZTUVBW15/kaT8gA76sQrzB6073UPHjcJLcKNuo1iwodqJBFvXGg3rCoqQM1ZVEzB2rGoszMt3FtjxFg9C+fxRzvaASQj1x+BeAV3IJV5y7M0QDGTwO8wIdYcx8+mxh7c1eVZDKal+ukzHI8LVjiMZTmYgPqTVS4h/F1gjMsAsmo5X0V48s7mduYqzlHVniRr+RBnjHxpxOjPIOcjvQWA5xP9egcYc0CvTsq1cPfzee9LtXD76PGF+jFU6kefqKkn1xC9pbCti6BbcJsGintm3JdGpR/IRq6vI6rrrS48qleqDEj6b2uSf9QPZnDSzyXXSyRfky5Ho3M6l9W6F8dGkbPmaXnelSk90Rery4FtXsyVHGvKdeVIcVVdKjkMHd1n4xs01NPRpfr0WiAx7WLMffcKtcdvaO8N6Zcj8apoLznAj15Xa5HY4D3pA9TrkdDZls6Ks435bqWXWqAYmdTrmvVh5gFljkgGvNUY7yiMfpJU0UtRv+gOltj+/yr65jM2TzLY4RqSsa3LacT5mtZtUTaX4jAqk1qyiH9i6nlgxVpzMUOG1+RDJPC+r5Kx6zxUvPHoMUAZj/tAXA58wQk1DkJab0ToLjNRl3FnmncDouTo6S/hGqr2gnrLRq+lDUq1p1hLReXmd4aPbbRXmc49kboEx6jZjk9HJc+4TKKnIaOCxri6dXR3Vs1X4va32JxoyXEKB9pXdwRop206jjVpfWmpePrapdnAhft+ZjxK7PNfWVtZMyToi2SslTxtNvpPJJdJ9fVTWFy3PRdgE9U2qsZWo0Yd6QyNgrV2WLyxud4b2if4J6c5EE0uvAcA0VlJGjXTGbRZT49QItq21uOt9SXztBROUOrq+1xNXpgoQcOdP0YZxdWjHtQakHMcAJ3LY8oZz3XVYoaH4vf5rujKT7B6og+KVhITYPsTVSwkFVR9vMClVeAlqOBonR/Gst0NL69QomP+l3ymNi1aPmv486t3t/u4BgvH83lmZgect1BrgHOGtrVpbtlDiTB3PnNDvqv1b2U/OpwlDaU4/rM4kx6GeKOf4QR7Ag94wRnGzc7iq3t/NTyN5pTQ+i9c7mbnaKFDND+BbA+pTgmA/y1zw7oHXSyCAnaSB+7E+fejcvXidkxZvy4WNCpBjPeIrRlU+Sv6dqzK8OxSBEDrQOLpbGtdXKMvmCEXMfKupu5Xb36SKQ5J2GPEqJoxsoN5P8J/tW/epxsrIwIqWH5BDJl61zPI8WYReqog6t8tQ3SbW0pr+UyPFNSm/XPyHStINkeRlxSHrla94BzF++JlxwlY5Q7W2lD62hVNldSHi3pUfa2j1E82f2BWoGl3Ju4Sm7gnGvjKBnAKJjkUYRuy2WRl/lW8ypS96Od/V+oG10XtSYpBsJkcElDXH4/wmjNljKBUU3j9wXOJrfWx0utqvkMcSxeWHP5W6j9GP5qufW9H52wYBVu4xggCubOaIRqgpUWfrxuF3jpkalpmXvDz4xJ3cquuUx8TdbNxNiz2lQaOGpeq6yFLl+GxrlF49xThy3cazRa1PXaEp2xsUVL7Vb68qvDrVWD8pSlzHtkGhV7SGnHUn5UeyxVPsbXqLcsrS2WVgdmq70bYM95H6R7ri/P7m/z1T0Qd9C36aIHRvFLD2dpjD6Xrq2O1IiC5Pypsq/27G9jjeQeogWVlOkcp5wxtOvUxWuRS/prtbKlaOeNRdDnll6pNtrGtrH8+xXkBc6JDOelRnyKLSIlvy1HsGSRblo+R4CZ/w76VOR3VMfMdmvzTIKCP2HiTZpVhhdFCkPUP5d5O1yJXg+t+DXAmHCqvOsQaNV/wpICYXQmwe1ZZviE5CpHOwnk0YZoP1ftFO3iDS2JbqLUc/G5h42hqNeMdXts6R7rvv0GWkqtm6fuasHzS7w5cvwus6PXwVXtQvmo86X7y9HqqFWueF+lh+kSX6OPKbaxIwsT5RUxbfGZNxeSqB4XwvhwqdeLOvLXk7yOzLQ75UtZt9aUi5kGsjHPMV7izoFKhMu7u+H05j5h+hGu0AsRa1OjGo6SzMalKj9gW1qZlQqWIiS7nluTEms9KlsvDA971TB2nCxlhFYwEVzuhlrbfWgXohU+G0MUuoJO9pbFiTbNz+CSfwPhihI1R58cYhP83FtiV+y/g1MRL1WZMpsB1kib0FuKwTuqn8UW1Tp6aVG36ftw8OcRg6456WNcUevKTpR5yW3q/vRfoTUYi4iV3rSs3webC9+TVU51+hOjheN7Ewv9Tk7dvmgOPj0pcvHnQ/sbXC/6Qr/bVK8PmjrfgyKHOjz0eQa/Z25a1+dlc6rW1yoXXx60DuidF42TO4DlMYtp52OhxtYTefccpHXoV1DXq8X/2g/Nx3Cqz8uXW4bvnJ17PHVqF6nMrPSL688Zw81nNJdz9OeZ5r0zXpObH/l/Qa0nlVq9eff0pV9qxoDmNReUD+WlI7w9ioy8vlTk/oBLhlT8R/x1jX8r4WVOo0yOOpT0fkU5Nd2Cp6bfvHT1Tn/nI5OhUyZTkZqJJ5p4MnZXHIo78Lube4B1T4nSO5X0KbHu92h7UNtH66Gz6ZRBaGNdhFkQs5vWw3tzjrZMYnmml874tqBG7okfY60873sP28szv61C38rfJKG5/pVIRa8QmSzv8pl5FUIPijtwlAvS7/sGeKaesll0Au3CY4+RzlFRpKTffp4joodx4bKkc0To0VJFOXRSDvFMUlRCOyz0rYsjfKR2+uW+gzyf38mzS4H4HdZ11OogV2pOqoZDqieYGQhR/1sQof1BbMLnpiq7JW2sSJrhMyhK9Nr6rvok2MI5LszbjNcxD6YzdTPVLsWo3uweVmdi90q50In3avygAj+wpGzi03qBcfdYVOcOpxU0p0omez93KHTek/Qgo9lOPj6q4+dZBa+ZR/+PStFHlqQHIEuI2fYA9/PGSC9RutlH6elcZXXe9m6FtPqtTaJpTlaacaDPSFbvCSRq3JXPfjoHyeVqohI69lynE5ncaZHYSYmfnyOP0xAdj97yffXpKUdlykoy9XgTeeYhy8yDTp+Rps9SGLCSKPtwdmVje/l/fawWTndubm/d3H6ws/HFbfV/QN4XvxC/Ejdg7fuj+ALGf0OcAKd/rn2w9rO1n+/9fX99/+r+R9T0vTWF+UgUfvZ/+V8Z4W1b</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> <latexit sha1_base64="tM9ZoNF+/Iw0I2pZoWiOJ0AgbhI=">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</latexit> Theorem: [Sinkhorn 1964] <latexit sha1_base64="gcU/kHyZLcweAP0wHsiW13HNtBs=">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</latexit> <latexit sha1_base64="gcU/kHyZLcweAP0wHsiW13HNtBs=">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</latexit> <latexit sha1_base64="gcU/kHyZLcweAP0wHsiW13HNtBs=">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</latexit> <latexit sha1_base64="gcU/kHyZLcweAP0wHsiW13HNtBs=">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</latexit> (u, v) converges. <latexit sha1_base64="5i6a5qsfYXSBSpPEe0cUnusBhQc=">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</latexit> <latexit sha1_base64="5i6a5qsfYXSBSpPEe0cUnusBhQc=">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</latexit> <latexit sha1_base64="5i6a5qsfYXSBSpPEe0cUnusBhQc=">AABELHictVxbbxu5FWa2l92kt2wL9KUvs3VSJEXq2u4CLbAosInsON44iRPJTnZXSaDLWFEy1igaSbkoRv9LX1v0L/RP9KUo+lq0T/0LPRdyyJE4czhuNoRtDsXvnMMz5OE5h1S642SYTTc2/n7ug299+zvf/fCj8xe+9/0f/PBHFz/+8VGWzia9+LCXJunkUbeTxclwFB9Oh9MkfjSexJ2TbhI/7L5o4OcP5/EkG6aj1vTNOH580hmMhsfDXmcKTU8v/vTSlfasca09b1y9FPXSEfQdxNn604trG+sb9C9arWzqyprS/w7Sjz/5g2qrvkpVT83UiYrVSE2hnqiOyqB8rTbVhhpD22O1gLYJ1Ib0eaxO1QXAzqBXDD060PoCfg/g6WvdOoJnpJkRugdcEviZADJSlwGTQr8J1JFbRJ/PiDK2ltFeEE2U7Q387WpaJ9A6Vc+gVcKZnqE4HMtUHavf0RiGMKYxteDoeprKjLSCkkfOqKZAYQxtWO/D5xOo9whp9BwRJqOxo2479Pm/qSe24nNP952p/5CUl6FEqqlHn+YUOmpO9CN6mzP4jOVJgPMAKMR6jFh7Rbo+odGPoP8C2u9COaWa0UkXyoJaTyuRDSg+ZENE7kLxIXdF5D4UH3JfRB5A8SEPNBKxE9K5H9+E4sM3Rc73ofiQ90XkAyg+5AMReQTFhzwSkV9B8SG/EpE3ofiQN0XkbSg+5G0R2YLiQ7ZE5CEUH/JQRO5A8SF3NLJ8pU6gpERnKKzK61Av8kBLkUDLdVG+G2QdfdgbAWu6V4KVV/U2/PVjtwN0GpdgdwLm3XEJVp55u2Aj/VjZFt2i3cSHvSVi92AG+LF7IvYL9bwE+0XASntRgpXX2j7082Nl63sHnvzYOyL2LtT8WHmPugctfuy9gB1jXII9ELH31csSbIjVn5RgZbvfBLvix8r7VAv6+7Eh1nRWgpXt6RF4MH6svFs9hFY/9qGIfaRel2Afidgvwbr7sV8G7LBvS7Bmj71AO8iA/JEYVmwVtU6+KrE2BmodgX+S7y0J+cZdaJcwgxwzIMyJiNjNEbuBiP0csR8sV5bb0Yz8XZlLM0c0AxHdfG/C2lTs38/7Yy0JQGzniO0lRJVHiu/ajGVO3oVpkZDTfOfCWsiY0tx+Yy3W86Ha8hrEvQKC5/YzmvnXKFrCCAo1VUXtWb7HMzKi5yrEK4rezCgNDxk3za2Ci3otoroeVFdEvfGg3oiomQc1E1FzD2ououzKd3HtgBlg9Y/vYkFPPAPYRy4vEXgF12HXuQVrNIL5cwBe4ANquQd/mxR7S6VKMozmcZ/ELMfjgiWeQG2h1qDdRoXbFF8ntMJikIx73tMxPj5hbmOh1xxb4dN8J4/yjEk4nSHJM8jpoLcY0XqqR+c2tZySd8e1evhb+bo3tXr4HdL4KXnxXKuHn2rpp2eQvaWxrTNgm7Caxlr7tl6XBudfmIapX6BdFy0uvtUTPWeQ3uua9Pf0m9k7w3tpUI31Y+v1aGTO+LLC+OrQsHrOHD3Xo4LeE3u9phbVHslIx722XleGlHbRkZbDPtV9M9inr9+MqdejcQAeV4Ni7oVTrzt7x/lobL0ejSPFec9T8uRNvR6NAT2zPmy9Hg3MtnR0nG/rdS07aoBjZ1uva9VHlAXGHBDPeW6xXtGE/KSZpjYk/6A6W+P6/Kv7GOZsnuQxQjUl69uW0+nme1m1RMZfiMGqTWvKgf7FzPHBijQWakuMr1iGaWF/X6Vj93jU/D5oMYLVz2cAUs48AQlNTgKtdwIUN8Woqzgyg9sScThLjpdQbd06Fb1Fy5ezRsW2p9QqxWV2tFaPbbLXGc29MfmE+6RZSQ/7pW+4jKKkof2ChmR6dXT3Vq/XovY3RNx4CTHOZ1qPToT4JK06TvVpveno+LI+5ZlC4TMfO38x23ysrQ3GPCnZIpSliqfbz+SR3DbcV68pm+PmzyJ6o2iv5mQ1hnQilYlRqMkWsze+oGdL+5DO5JAH0+jBe4w0lbHiUzPMomM+PSKL6tpbiTfqy2TouJ6R1TX2uBo9cNADD7p+jNOAHeMu1FoQMxzCUysgyrmQ6yoljU/Ur/LT0ZTeYHVEnxQspKHB9iYuWMiqKPtZgcorQONs4Cg9nMYyHYNvr1CSo36fPDZ2LVr+y3Rya863OzTHy2dzeSamT1y3iGtEq4ZPdflpmQNLsPB+skX+a/UokV8djmhDJa5PHM6slxGd+McUwY7JM05otUmro9jbzU8tf2I4HShzdo6n2SlZyIjsXwT7U0pzMqIf9+6AOUFni5CQjQyxO8Pcu/H5OkNxjlk/bqj4VoOdbzHZshnxN3Td1ZXRXOSIgfeB06W5bXSyT75gTFwn2rrbtV29+yDS3pNwZwlTtHPlCvG/Sr/Nj5knayszAjWMbyDTts73PlKKWVBHHdrlq22Q6etKeSmX4YmW2u5/VqZLBcm2KeJCeXC37gPnHj0zL5wlE5I7W+nD+2hVNhcpj5f0iKM9piie7f5A78Ao9zXaJddozbVplgxgFkzzKML0lbLIy3yreRWph9HOvhHqVtdFrSHFSNkMLmtIyu/HFK25UiYwq3n+vqDV5Nf6ZKlXNZ8RzcUTZy2/g9ZP4LeR2zyH0ekWrMINmgNMwT5ZjXBLtNIjjNeNAi8zMw0t+2z52TlperktZ4mv2brZGHtem8oBzZrXOmth6meh8dyh8TxQhy06a7RaNO3GEj0VY4uWPq0M5VeHW6sG5ZlIWfbIDGoYIKUbS4VR7YtU5RjfoN6KtDZEWh1Yre5pgLvmQ5D+tb68ut/lu3ukbpJv0yMPjOOXPq3SIflcprU6UmMKyPlTbV/d1d+mFuTeJQuKlPkeJ64YPnXqUTnNJf2F3tlSsvPWIph7S690H2Nj21T/zQryhNZERuvSID6lHrGW35UjWrJI647PEVHmv0M+Ffsd1TGz29u+k6jgT9h4k1eV5cWRwoj0L2Xe9lai1z0nfo0oJpxp77oLtOq/YaTAGJNJ8HuWGb0h3OX4JIE92i7Zz1U7xad4I0eidZJ6oX4fYGM46rVz3Z1bZsRmbL+Enqh1+9Z9PWR+STBHid9ZTvQ6tKudaB91sfR8NlodvcsVn6v0MFvia/Uxoz5uZGGjvCKmrT4L5sIS1ePCmBAu9UZRR/56kteRmU+nQimb3oZyMdPANuYZxUvSPVBE+Ly7K15v7qowju4KvS5hXWrcIlHCbFyq8wOupcWs1PmVfYhbz1fuRomzE5XtFIa6u1tY+80WMibrlygpZ8O9XdnbhShFzsIwhZ7iG71l8aFL8zMo+DtSvujQcAzJHTbBv72uGmrnPdyGeKnrnNGMqAVtQX8p9u7ocRZ7VOvopUPdpR/CIZzHEHQtST+knbSu7ExZltylHk7/FVmBiYpF6W3P+mNwucgjWeVUZzxDsmzyaIbKfBen7lgMh5CRFLmE8+FzDWkUx8p8p6neGAx1eQRFDnV4mHsMYe/c9q7Py+VUra9VLqE8eBcwJy4Ghyd/5bGK7RdioSbOG3n/HNA6HFdQN7vF/zsOw8dyqs8rlFtG3zV7HvDWuV+sM7LoD9dfM5ZbyGwu5xjOM81HZ70lPz/2+6Jabyp1RvP+6aM/aueA4bVQnAeVpWO8O4usvKFU8FzAJ0Oq/qv+ek7+NsLLnEaZHHUomXOKcmqmh0zNfOPSNzrzWYhMlk6ZTEVqNo5o0o3YhtpTN+GnkXuAdW+H8ncp+S9i/d+f7UPrMVkPk0XnzEGb2mLKfthTtD492/uzZRLjXV6+29uCFjwL36dWvOd7l/rjXd9WYWzl3yDhtX5HpapfiEiWT/fsuurCCIonb5wDMt/zjeguPWex+ObZScDZork/tSzRgj6RbxZ0S/FdR8oezdWxPqvHkwO8Yd/J80OR+jW1dbSdxz1X4nxQyvlgiXNG2ilyeO18Vn03q4xLw+HSz3Nnc90vpTjbnudV50a3S7nwHfRq/KACP3CkbJL2X1AkPFHV2bxZBc2Zlsk9YR0pk4lkPWCc2cnfd3VkO6/gNQ8Y/+1S9G1H0l2QpUv574hO2CZEL9G62SHp+aZjdSb1VoW05nuUTNPedbTzwNxarM7SJ3recebC/G8EC1oPuJuam4lS9iQuodOlG4ExUeI7ktK5gSyPLE2ILBKVmSjJLODbu/MAWeYBdI4FaY5FCgNREr2Cn15c21z+/zFWK0db65sb65v3t9Y+v6H/74yP1M/Uz9UV2Dd+qz6HGXqgDoHTO/VH9Sf158ZfGn9r/KPxT+76wTmN+Ykq/Gv8638RsSIl</latexit> <latexit sha1_base64="5i6a5qsfYXSBSpPEe0cUnusBhQc=">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</latexit> Richard Sinkhorn P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> =) <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">AABE6HictVzbchu5EYU3t41z8yaPeZmN7JQ35TiSsqmkaitVa4uyrLVsyyYle9e0XRxySNMecSjefOHqH1J5SaWSp/xIviMfkKrkKb+QvgADDImZxiiOpyRhMDjdjR6g0d3AOB6nw+lsc/MfFz74xje/9e3vfPjdi9/7/g9++KNLH/34eJrNJ93kqJul2eRx3Jkm6XCUHM2GszR5PJ4knZM4TR7Fr3bw+aNFMpkOs1Fr9nacPD3pDEbD/rDbmUHV48vt085kcnr5+aWNzeub9C9aL2zpwobS/w6zjz7+p2qrnspUV83ViUrUSM2gnKqOmsL1RG2pTTWGuqdqCXUTKA3peaLO1EXAzqFVAi06UPsKfg/g7omuHcE90pwSugtcUviZADJSVwCTQbsJlJFbRM/nRBlry2gviSbK9hb+xprWCdTO1AuolXCmZSgO+zJTffU76sMQ+jSmGuxdV1OZk1ZQ8sjp1QwojKEOyz14PoFyl5BGzxFhptR31G2Hnv+LWmIt3nd127n6N0l5Ba5INXXvs5xCRy2IfkRvcw7PWJ4UOA+AQqL7iKXXpOsT6v0I2i+h/h5cZ1QyOonhWlLtWSVyBy4fckdE7sHlQ+6JyAO4fMgDEXkIlw95qJGInZDO/fgmXD58U+T8AC4f8oGIfAiXD/lQRB7D5UMei8iv4PIhvxKRt+DyIW+JyDtw+ZB3RGQLLh+yJSKP4PIhj0TkLlw+5K5Gls/UCVwZ0RkKs/IGlIs80FKkUHNDlO8mWUcf9mbAnO6WYOVZ3YC/fmwjQKdJCXY3YNz1S7DyyNsDG+nHyrboNq0mPuxtEbsPI8CP3RexX6iXJdgvAmbaqxKsPNcOoJ0fK1vfu3Dnx94Vsfeg5MfKa9R9qPFj7wesGOMS7KGIfaBOS7AhVn9SgpXtfhPsih8rr1MtaO/HhljTeQlWtqfH4MH4sfJq9Qhq/dhHIvaxelOCfSxivwTr7sd+GbDCvivBmjX2Iq0gA/JHEpixVdQ6+azE0hiodQT+ab62pOQbx1AvYQY5ZkCYExGxlyP2AhEHOeIgWK5pbken5O/KXJo5ohmIiPO1CUszsX0vb4+lNADRyBGNFUSVR4rv2vRlQd6FqZGQs3zlwlJIn7LcfmMp0eOh2vIaxP0Cgsf2Cxr51yhawggKNVVF7UW+xjMyovsqxGuK3kwvDQ8ZN8utgot6I6JiDyoWUW89qLciau5BzUXUwoNaiCg7811cO2AEWP3ju1jSHY8A9pHLrwi8ghuw6tyGORrB+DkEL/Ah1dyHv02KvaWrSjKM5nGdxCzH04IlnkBpqTag3kaFDYqvU5phCUjGLe/rGB/vMLex1HOOrfBZvpJHecYknM6Q5BnkdNBbjGg+1aNzh2rOyLvjUj387Xzem1I9/C5p/Iy8eC7Vw8+09LNzyN7S2NY5sE2YTWOtfVuuS4PzL0zDlC/SqosWF9/qiR4zSO9NTfr7+s3sn+O97FCJ9WPL9WhMnf5NC/2rQ8PqeerouR4V9J7Y6zWlqHZPRjruteW6MmS0io60HPau7pvBNj39Zky5Ho1D8Lh2KOZeOuW6o3ec98aW69E4Vpz3PCNP3pTr0RjQPevDluvRwGxLR8f5tlzXsqMGOHa25bpWfURZYMwB8ZjnGusVTchPmmtqQ/IPqrM1rs+/vo5hzuZZHiNUU7K+bTmdOF/LqiUy/kICVm1WUw70L+aOD1aksVTbYnzFMswK6/s6HbvGo+YPQIsRzH7eA5By5ilIaHISaL1ToLglRl3FnhnctojDUdJfQbV17Uz0Fi1fzhoV655TrRSX2d5aPbbJXk9p7I3JJzwgzUp6OCh9w2UUJQ0dFDQk06uju3d6vha1vynixiuIcT7SurQjxDtp1XGqT+tNR8dX9C7PDC7e87HjF7PNfW1tMObJyBahLFU83XYmj+TW4bp6TdkcNz+L6I2ivVqQ1RjSjtRUjEJNtpi98SXdW9pHtCeHPJhGF95jpKmMFe+aYRYd8+kRWVTX3kq8UV8mQ8flKVldY4+r0QMHPfCg68c4O7Bi3INSC2KGI7hrBUQ5F3NdZaTxifplvjua0RusjujTgoU0NNjeJAULWRVlvyhQeQ1oHA0cpYfTWKVj8O01SnLU75PHxq5Fy3+Fdm7N/naHxnj5aC7PxPSI6zZxjWjW8K4u361yYAmW3ifb5L9W9xL51eGINlTi+szhzHoZ0Y5/QhHsmDzjlGabNDuKrd381OoTw+lQmb1z3M3OyEJGZP8iWJ8yGpMR/bhnB8wOOluElGxkiN0Z5t6Nz9cZimPM+nFDxaca7HhLyJbNib+h686uKY1Fjhh4HThbGdtGJwfkCybEdaKtu53b1asPIu05CXeUMEU7Vq4S/0/ot/kx42RjbUSghvENTLWt872PjGIW1FGHVvlqG2TaulJezmV4pqW265+V6XJBsgZFXCgPrtY94Nyle+aFo2RCck/X2vA6WpXNRcrjFT1ib/sUxbPdH+gVGOW+RqvkBs25No2SAYyCWR5FmLZSFnmVbzWvIvUw2tP/C3Wr66LWkGKkbAaXNSTl9xOK1lwpUxjVPH5f0Wzya32y0qqaz4jG4okzl7+G2o/ht5Hb3IfRiQtW4SaNAaZg76xGuCZaaxHG62aBlxmZhpa9t/zsmDSt3JrzxNds3WyMvahN5ZBGzRudtTDl89B46dB4GajDFu01Wi2aemOJnouxRUvvVobyq8OtVYPyXKQse2QGNQyQ0o2lwqj2RKpyjG9Q70RamyKtDsxWdzfAnfMhSP9cX53dX+ere6RukW/TJQ+M45cezdIh+VymtjpSYwrI+VNtX93Z36Ya5B6TBUXKfI4TZwzvOnXpOssl/ble2TKy89YimHNLr3UbY2PbVP71GvKE5sSU5qVBfEotEi2/K0e0YpGuOz5HRJn/DvlU7HdUx8xua/tOooI/YeNNnlWWF0cKI9K/lHnbX4te9534NaKYcK696xho1X/DSIExJpPg9yyn9IZwleOdBPZoY7Kf63aKd/FGjkTXSeql+n2AjeGo1451d2yZHpu+/QJaotbtW/e1kPmlwRwlfufZ0evQqnaifdTlyv35aHX0Kle8r9LDfIWv1cec2riRhY3yipi2+iyYC0tUjwtjQrjU60Ud+etJXkdm3p0KpWxaG8rFTAPbmBcUL0nnQBHh8+6uer25T4R+xGv0YsK61LhGooTZuEznB1xLi1mpaCVCcuulNSl11qOy9cLycFcNa8fZUiZkBVMl5W64tduHdiFakbMxTKGr+GRvWZzo0vwMLvwdKV+UaDiG5BCb4OfeUDtq9z2cijjVZc5sRlSDNqG3EoN3dD+LLap1dOpQd+mHcAjnMQRdS9IPaUWtKztTliV3qYfTf03WYKISUXrbsn4fXC5yT9Y51enPkCyc3JuhMt/k1O2L4RDSkyKXcD68vyH1oq/Mt031+mCoyz0ocqjDw5xnCHvntnV9Xi6nan2tcwnlweuA2XkxONwBLI9ZbLsQCzVx3sj754DWoV9B3awW/2s/DB/LqT6vUG5T+ubsZcBb53aJzsyiX1x/zlhuIaO5nGM4zyzvnfWa/PzY/4tqvanM6c37p49+qR0DhtdScT5Ulo7x7iiy8oZSwf0BnwyZ+o/6+wX5q4TTnEaZHHUomf2KcmqmhUzNfHnp6515FiKTpVMmU5GajSeadDJ2R+2rW/Czk3uAdU+J8jeV/Bex/u9oe1DbJ+thsumcQWhTXUJZELub1qN7e462TGI808tnfFtQg3viB1SL533vUXs889sq9K38SxKe63dVpnqFyGR1l8/Oqxh6UNyB41yQ+d43ojP1nM3iE2gnAXuMfI6KIyXz9fOSED2KC1clXRLCjJYqyrGXckxnkpIS2nGhb10a4WO904/7Dng+v5NnlyL1K6rr6NUBV2pJqkOPVE8oMxCT/jchQvuNugZ/r+myX9LDNUmn9A6KEr1xnlWfBDvzjgv7NeMVyoOZTN1Ct8soqre7h9WZ2EYpFz7xXo0fVOAHjpRNeluvKO6eqOrc4byC5lzL5O7njpTJe7IeMJrt5OOjOn5eVPBaBPT/Tin6jiPpHsgSU7Y9ov28CdFLtW52SXo+V1mdt71dIa35apNp2pOVdhyYM5LVewKpHnfls5/PQUq5mqSEjjvX+USmdFpk6KUkz89xwGmITkBv5b6G9FSiMhclmQd8ibwIkGURQKcvSNMXKQxESbR9eH5pY2v1//pYLxxvX9/avL71YHvj85v6/wH5UP1U/UxdhbXvt+pzGP+H6oh8hj+qv6i/Nl42/tD4U+PP3PSDCxrzE1X41/jbfwGNBkJr</latexit> <latexit sha1_base64="xaKxkjYE4m2ag9VzAshPwE6xv0U=">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</latexit> <latexit sha1_base64="0h78JjXFym7avQJT/Y7NxpEtnC0=">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</latexit> a = P1 = diag(u)(Kv) = u (Kv)
  19. RAS algorithm Iterative proportional fitting Sinkhorn algorithm Biproportional fitting Matrix

    scaling DAD scaling Sinkhorn, IPFP, RAS, … Kruithof, 1937 Udny 1912 Sinkhorn 1964 Deming and Stephan, 1940 Yule Udny Edwards Deming Frederick Stephan Many names: Richard Sinkhorn Gravity model Special thanks to Tony Silveti-Falls for the picture of Sinkhorn
  20. Other Regularizations ↵ R(⇡) = Z log ✓ d⇡ dxdy

    ◆ d⇡(x, y) R(⇡) = Z ✓ d⇡ dxdy ◆2 dxdy min ⇡ ⇢Z R2 ||x y||2d⇡(x, y) + "R(⇡) ; ⇡1 = ↵, ⇡2 = constraints P1 m = a and P€1 n = b (one can a ord to ignore the no straint using entropy because that penalty incorporates a logarithmic t the entries of P to stay in the positive orthant). This implies that the s is no longer a ne and iterative Bregman projections do not converge solution. A workaround is to use instead Dykstra’s algorithm (1983 [Bauschke and Lewis, 2000]), as detailed in [Benamou et al., 2015]. uses projections according to the Bregman divergence associated to Remark 8.1 for more details regarding Bregman divergences. An issu eral these projections cannot be computed explicitly. For the squared n corresponds to computing the Euclidean projection on (C 1 a , C 2 b ) (with tivity constraints), which can be solved e ciently using projection alg plices [Condat, 2015]. The main advantage of the quadratic regularizat is that it produces sparse approximation of the optimal coupling, yet t expense of a slower algorithm that cannot be parallelized as e cientl compute several optimal transports simultaneously (as discussed in § contrasts the approximation achieved by entropic and quadratic regul
  21. Other Regularizations ↵ R(⇡) = Z log ✓ d⇡ dxdy

    ◆ d⇡(x, y) R(⇡) = Z ✓ d⇡ dxdy ◆2 dxdy min ⇡ ⇢Z R2 ||x y||2d⇡(x, y) + "R(⇡) ; ⇡1 = ↵, ⇡2 = constraints P1 m = a and P€1 n = b (one can a ord to ignore the no straint using entropy because that penalty incorporates a logarithmic t the entries of P to stay in the positive orthant). This implies that the s is no longer a ne and iterative Bregman projections do not converge solution. A workaround is to use instead Dykstra’s algorithm (1983 [Bauschke and Lewis, 2000]), as detailed in [Benamou et al., 2015]. uses projections according to the Bregman divergence associated to Remark 8.1 for more details regarding Bregman divergences. An issu eral these projections cannot be computed explicitly. For the squared n corresponds to computing the Euclidean projection on (C 1 a , C 2 b ) (with tivity constraints), which can be solved e ciently using projection alg plices [Condat, 2015]. The main advantage of the quadratic regularizat is that it produces sparse approximation of the optimal coupling, yet t expense of a slower algorithm that cannot be parallelized as e cientl compute several optimal transports simultaneously (as discussed in § contrasts the approximation achieved by entropic and quadratic regul
  22. Overview • Entropic Regularization and Sinkhorn • Convergence Analysis •

    Sinkhorn Divergences • Generative Model Fitting
  23. Bregman Iterative Projections the kernel K become too negligible to

    be stored in memory as posit become instead null. This can then result in a matrix product Kv smaller entries that become null and result in a division by 0 in the of Equation (4.15). Such issues can be partly resolved by carrying on the multipliers u and v in the log domain. That approach is care Remark 4.22, and related to a direct resolution of the dual of proble Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ + Since the sets C 1 a and C 2 b are a ne, these iterations are known to conve of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhor since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has the kernel K become too negligible to be stored in memory as positive nu become instead null. This can then result in a matrix product Kv or K T u smaller entries that become null and result in a division by 0 in the Sinkh of Equation (4.15). Such issues can be partly resolved by carrying out co on the multipliers u and v in the log domain. That approach is carefully p Remark 4.22, and related to a direct resolution of the dual of problem (4.2 Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can us iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to t of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn itera since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) hP, Ci + " KL(P|a ⌦ b) = " KL(P|K) + cst <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> where Ki,j = e Ci,j " aibj <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> Shr¨ odinger problem: <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> min P2U(a,b) KL(P|K) <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="Z7MEFLXRPRpRvSO3gMWPgBVMQfo=">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</latexit> Constraints : <latexit sha1_base64="an9unSN7xD1XRFITI4eRXKm8G4A=">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</latexit> C1 a [ C2 b
  24. Bregman Iterative Projections K = P(0) <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit>

    <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> P(1) <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> P(2) <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">AABBx3ictVzdchPJFW42fwv5Y5PL3EziJQUpQoxDVZLaStUa2xiDAIFk8O4KKP2MhWCkERrJGLS+yCvkNnmXPEfeILnKK+T8dE/3SD1zehxCl+2eVn/nnD7Tffqc0y1602SUzTc3/3nhk+9893vf/8GnFy/98Ec//slPL3/2s6dZupj148N+mqSzo143i5PRJD6cj+ZJfDSdxd1xL4mf9d7s4OfPTuJZNkon7fn7afx83B1ORsejfncOTUed5ovl1a1rZy8vb2ze2KR/0Xrlpq5sKP2vmX4WHaqOGqhU9dVCjVWsJmoO9UR1VQblG3VTbaoptD1XS2ibQW1En8fqTF0C7AJ6xdCjC61v4PcQnr7RrRN4RpoZofvAJYGfGSAjdQUwKfSbQR25RfT5gihjaxntJdFE2d7D356mNYbWuXoFrRLO9AzF4Vjm6lj9kcYwgjFNqQVH19dUFqQVlDxyRjUHClNow/oAPp9BvU9Io+eIMBmNHXXbpc//RT2xFZ/7uu9C/ZukvAIlUi09+jSn0FUnRD+it7mAz1ieBDgPgUKsx4i1d6TrMY1+Av2X0P4QyhnVjE56UJbUelaJ3IHiQ+6IyH0oPuS+iGxA8SEbIrIJxYdsaiRiZ6RzP74FxYdviZwfQ/EhH4vIJ1B8yCci8ikUH/KpiPwaig/5tYi8A8WHvCMi70PxIe+LyDYUH7ItIg+h+JCHInIPig+5p5HlK3UGJSU6I2FVbkO9yAMtRQIt26J8t8k6+rC3A9Z0vwQrr+pd+OvH7gboNC7B7gXMu+MSrDzz9sFG+rGyLbpLu4kPe1fEHsAM8GMPROw99boEey9gpb0pwcprrQH9/FjZ+j6AJz/2gYh9CDU/Vt6jHkGLH/soYMeYlmCbIvaxeluCDbH6sxKsbPdbYFf8WHmfakN/PzbEmi5KsLI9fQoejB8r71bPoNWPfSZij9RpCfZIxH4F1t2P/Spgh/1QgjV77CXaQYbkj8SwYquodfNVibUpUOsK/JN8b0nIN+5Bu4QZ5pghYcYiYj9H7AciGjmiESxXltvRjPxdmUsrR7QCEb18b8LaXOw/yPtjLQlA7OaI3RVElUeK79qM5YS8C9MiIef5zoW1kDGluf3GWqznQ7XlNYhHBQTP7Vc0869TtIQRFGqqitqrfI9nZETPVYh3FL2ZURoeMm6eWwUXdSqieh5UT0S996Dei6iFB7UQUSce1ImIsivfxXUCZoDVP76LJT3xDGAfubxE4BVsw65zF9ZoBPOnCV7gE2p5BH9bFHtLpUoyjOZxn8Qsx/OCJZ5Bbak2oN1GhbsUXye0wmKQjHs+0jE+PmFuY6nXHFvhs3wnj/KMSTidEckzzOmgtxjReqpH5z61nJF3x7V6+Lv5uje1evg90vgZefFcq4efa+nn55C9rbHtc2BbsJqmWvu2XpcG51+Yhqlfol0XLS6+1bGeM0jvtCb9A/1mDs7xXnaoxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKLjXluvK0NKu+hEy2Gf6r4Z7DPQb8bU69Fogse1QzH30qnXnb3TfDS2Xo/GU8V5zzPy5E29Ho0hPbM+bL0eDcy2dHWcb+t1LTtqgGNnW69r1SeUBcYcEM95brFe0Yz8pIWmNiL/oDpb4/r86/sY5mxe5DFCNSXr25bT6eV7WbVExl+IwarNa8qB/sXC8cGKNJZqS4yvWIZ5YX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xairODKD2xJxOEuOV1Ad3ToXvUXLl7NGxbaX1CrFZXa0Vo8dstcZzb0p+YQN0qykh0bpGy6jKGmoUdCQTK+O7j7o9VrU/qaIm64gpvlM69OJEJ+kVcepPq23HB1f0ac8cyh85mPnL2abj7W1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dUJWY0RnUhlYhRqssXsjS/p2dI+pDM55ME0+vAeI01lqvjUDLPomE+PyKK69lbijfoyGTquZ2R1jT2uRg8d9NCDrh/j7MCO8RBqbYgZDuGpHRDlXMp1lZLGZ+q3+eloSm+wOqJPChbS0GB7ExcsZFWU/apA5R2gcTZwlB5OY5WOwXfWKMlRv08eG7sWLf8VOrk159tdmuPls7k8EzMgrlvENaJVw6e6/LTKgSVYej/ZIv+1epTIrw5HtKES1xcOZ9bLhE78Y4pgp+QZJ7TapNVR7O3mp1Y/MZyaypyd42l2ShYyIvsXwf6U0pyM6Me9O2BO0NkiJGQjQ+zOKPdufL7OSJxj1o8bKb7VYOdbTLZsQfwNXXd1ZTQXOWLgfeBsZW4bnTTIF4yJ60xbd7u2q3cfRNp7Eu4sYYp2rlwl/tfot/kx82RjbUaghvENZNrW+d5HSjEL6qhLu3y1DTJ9XSk/z2V4oaW2+5+V6fOCZLsUcaE8uFsPgHOfnpkXzpIZyZ2t9eF9tCqbi5SnK3rE0R5TFM92f6h3YJT7Ou2SG7TmOjRLhjAL5nkUYfpKWeRVvtW8itTDaGf/F+pW10WtIcVI2Qwua0jK78cUrblSJjCref6+odXk1/pspVc1nwnNxbGzlr+F1l/CbyO3eQ6j0ytYhds0B5iCfbIa4ZZorUcYr9sFXmZmGlr22fKzc9L0clvOE1+zdbMx9kltKk2aNac6a2Hq56Hx2qHxOlCHbTprtFo07cYSvRRji7Y+rQzlV4dbuwblhUhZ9sgMahQgpRtLhVEdiFTlGN+gPoi0NkVaXVit7mmAu+ZDkP61vrq6v81390jdId+mTx4Yxy8DWqUj8rlMa3WkxhSQ8y1tX93V36EW5N4jC4qU+R4nrhg+depTOcsl/bXe2VKy89YimHtL73QfY2M7VP/9GnJMayKjdWkQt6hHrOV35YhWLNINx+eIKPPfJZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhQvqXMm8Ha9HrgRO/RhQTLrR33QNa9d8wUmCMyST4PcuM3hDucnySwB5tj+znup3iU7yJI9ENknqp/hxgYzjqtXPdnVtmxGZsv4GeqHX71n09ZH5JMEeJ33lO9Lq0q421j7pceT4fra7e5YrPVXpYrPC1+lhQHzeysFFeEdNRXwRzYYnqcWFMCJd6o6gjfz3J68jMp1OhlE1vQ7mYaWAb84riJekeKCJ83t1Vrzd3TRhHb41ej7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7J1ClCJnYZhCX/GN3rL40KX5BRT8HSlfdGg4huQOW+DfbqsdtfcRbkO81XXOaEbUgrZgsBJ7d/U4iz2qdfTWoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+OrMBMxaL0tmf9Mbhc5JGsc6oznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIpjZb7TVG8Mhro8giKHOjzMPYawd2571+flcqrW1zqXUB68C5gTF4PDk7/yWMX2C7FQM+eNfHwOaB2OK6ib3eJ/HYfhYznV5xXKLaPvmr0OeOvcL9YZWfSH668Zyy1kNpdzDOeZ5qOz3pKfH/t9Ua03lTqj+fj00R+1c8DwWirOg8rSMd6dRVbeUCp4LuCTIVX/Uf+4IH8b4W1Oo0yOOpTMOUU5NdNDpma+cekbnfksRCZLp0ymIjUbR7ToRuyOOlB34Gcn9wDr3g7l71LyX8T6vz87gNZjsh4mi86Zgw61xZT9sKdoA3q292fLJMa7vHy3tw0teBbeoFa85/uQ+uNd33ZhbOXfIOG1/kClalCISFZP9+y66sEIiidvnAMy3/ON6C49Z7H45tk44GzR3J9alWhJn8g3C3ql+J4jZZ/m6lSf1ePJAd6w7+b5oUj9jtq62s7jnitxbpZybq5wzkg7RQ6nzmfVd7PKuOw4XAZ57uxE90spzrbnedW50d1SLnwHvRo/rMAPHSlbpP03FAnPVHU2b1FBc6Flck9YJ8pkIlkPGGd28/ddHdmeVPA6CRj//VL0fUfSfZClR/nviE7YZkQv0brZI+n5pmN1JvVuhbT6e5QvL2/cXP2/DNYrh1s3/nTj5uNbG1/e1v/NwafqF+pX6ios8T+oL4FYUx2Safyr+pv6+/a97en2yfYpd/3kgsb8XBX+bf/lvwnYosM=</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> P(3) <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> P(4) <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> P(5) <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> C1 a <latexit sha1_base64="XbyEK33WFRMJqV/oUgD6TK/dlKk=">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</latexit> <latexit sha1_base64="XbyEK33WFRMJqV/oUgD6TK/dlKk=">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</latexit> <latexit sha1_base64="XbyEK33WFRMJqV/oUgD6TK/dlKk=">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</latexit> <latexit sha1_base64="XbyEK33WFRMJqV/oUgD6TK/dlKk=">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</latexit> <latexit sha1_base64="XbyEK33WFRMJqV/oUgD6TK/dlKk=">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</latexit> C2 b <latexit sha1_base64="CdHDHBx85QK7Z1q8tk/JZfxtKb4=">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</latexit> <latexit sha1_base64="CdHDHBx85QK7Z1q8tk/JZfxtKb4=">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</latexit> <latexit sha1_base64="CdHDHBx85QK7Z1q8tk/JZfxtKb4=">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</latexit> <latexit sha1_base64="CdHDHBx85QK7Z1q8tk/JZfxtKb4=">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</latexit> <latexit sha1_base64="CdHDHBx85QK7Z1q8tk/JZfxtKb4=">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</latexit> P? <latexit sha1_base64="GZury/8q1aEIQHT42ZQTfTW73Rc=">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</latexit> <latexit sha1_base64="GZury/8q1aEIQHT42ZQTfTW73Rc=">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</latexit> <latexit sha1_base64="GZury/8q1aEIQHT42ZQTfTW73Rc=">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</latexit> <latexit sha1_base64="GZury/8q1aEIQHT42ZQTfTW73Rc=">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</latexit> <latexit sha1_base64="GZury/8q1aEIQHT42ZQTfTW73Rc=">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</latexit> the kernel K become too negligible to be stored in memory as posit become instead null. This can then result in a matrix product Kv smaller entries that become null and result in a division by 0 in the of Equation (4.15). Such issues can be partly resolved by carrying on the multipliers u and v in the log domain. That approach is care Remark 4.22, and related to a direct resolution of the dual of proble Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ + Since the sets C 1 a and C 2 b are a ne, these iterations are known to conve of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhor since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has the kernel K become too negligible to be stored in memory as positive nu become instead null. This can then result in a matrix product Kv or K T u smaller entries that become null and result in a division by 0 in the Sinkh of Equation (4.15). Such issues can be partly resolved by carrying out co on the multipliers u and v in the log domain. That approach is carefully p Remark 4.22, and related to a direct resolution of the dual of problem (4.2 Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can us iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to t of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn itera since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) Theorem: <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> For a ne (C1 a , C2 b ), <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> P? = argmin P2C1 a \C1 b KL(P|K) <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> P(`) ! <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> [Bregman, 1967] <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> the kernel K become too negligible to be stored in memory as positive nu become instead null. This can then result in a matrix product Kv or K T smaller entries that become null and result in a division by 0 in the Sinkh of Equation (4.15). Such issues can be partly resolved by carrying out co on the multipliers u and v in the log domain. That approach is carefully p Remark 4.22, and related to a direct resolution of the dual of problem (4.2 Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can u iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn itera since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) and P (2 ¸ +2) def. = diag(u ( ¸ +1) )K diag(v ( ¸ +1) ) Iterative projections: <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> hP, Ci + " KL(P|a ⌦ b) = " KL(P|K) + cst <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> where Ki,j = e Ci,j " aibj <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">AABFIHictVxfc9u4EUeu/67pn8u1j33h1ZdOruNL7TSddubmOpfIjuOzkziR7OQuSjyURMl0aFEWJTmJTl+m0+/R105fOp32pX3vTPvUr9DFLkCAEsgF3Ws4tkEQv93FEljsLsB0RkmcTTY2/n7lnW9881vf/s673736ve//4IfvXXv/R0dZOh13o8NumqTjZ50wi5J4GB1O4kkSPRuNo/Csk0RPO68a8vnTWTTO4nTYmrwZRS/OwsEw7sfdcAJVx9d+2z6/OInG0XnQ3juex+uni+DTIHo5/7jdH4fdebtBlYt5OxplcZIOF4ugHTaO46DdaRyfHl9b27i5gf+C1cKmKqwJ9e8gff+Df4q26IlUdMVUnIlIDMUEyokIRQbXc7EpNsQI6l6IOdSNoRTj80gsxFXATqFVBC1CqH0Fvwdw91zVDuFe0swQ3QUuCfyMARmI64BJod0YypJbgM+nSFnWltGeI00p2xv421G0zqB2Ik6glsPplr442ZeJ6IvfYB9i6NMIa2TvuorKFLUiJQ+sXk2AwgjqZLkHz8dQ7iJS6zlATIZ9l7oN8fm/sKWslfdd1XYq/o1SXocrEE3V+zSnEIoZ0g/wbU7hGcmTAOcBUIhUH2XpAnV9hr0fQvs51D+Ea4ElrZMOXHOsXVQiG3C5kA0WuQOXC7nDIvfhciH3WeQBXC7kgUJK7Bh17sY34XLhmyznx3C5kI9Z5BO4XMgnLPIILhfyiEV+CZcL+SWLvAeXC3mPRe7B5ULuscgWXC5ki0UewuVCHrLIbbhcyG2FLJ+pY7hSpBMzs/IOlIs8pKVIoOYOK99dtI4u7F2POd0twfKzegv+urFbHjqNSrDbHuOuX4LlR94O2Eg3lrdF93E1cWHvs9hdGAFu7C6L/VyclmA/95hpr0qw/Fzbh3ZuLG99H8CdG/uAxT6EkhvLr1GPoMaNfeSxYoxKsAcs9rE4L8H6WP1xCZa3+02wK24sv061oL0b62NNpyVY3p4egQfjxvKr1VOodWOfsthn4nUJ9hmL/QKsuxv7hccK+7YEq9fYq7iCDNAfiWDGVlEL81kpSyOgFjL8k3xtSdA37kA9hxnkmAFizljETo7Y8UTs54h9b7my3I5m6O/yXJo5oumJ6ORrkyxN2Pa9vL0sJR6IrRyxtYSo8kjlu9Z9maF3oWs45CRfuWTJp09pbr9lKVLjodryasSjAoLG9gmO/HWMlmQEJTVVRe0kX+MJGeB9FeICozfdS82Dx01yq2CjXrOojgPVYVFvHKg3LGrqQE1Z1MyBmrEoM/NtXNtjBBj9y3cxxzsaAeQjl18BeAV3YNW5D3M0gPFzAF7gE6x5BH+bGHtzV5VkMpqX66TMcrwoWOIxlOZiDepNVLiF8XWCMywCyajlIxXjyzuZ25irOUdWeJGv5EGeMfGnE6M8g5yO9BYDnE/16OxhzQK9OyrVw9/P570u1cNvo8YX6MVTqR5+oqSfXEL2lsK2LoFtwmwaKe2bcl0alH8hGrp8FVddaXHlWz1TY0bSe12T/q56M7uXeC8NLJF+TLkejczqX1boXx0aRs+Zped6VKT3RF6vLgW1ezJUca8p15UhxVV0qOQwd3XfjGzTU29Gl+vROACPq4Ex99wq1x29o7w3plyPxpGgvOcCPXldrkdjgPekD1OuR0NmW0IV55tyXcsuNUCxsynXtepDzALLHBCNeaoxXtEY/aSpohajf1CdrbF9/tV1TOZsXuYxQjUl49uW0+nka1m1RNpfiMCqTWrKIf2LqeWDFWnMxS02viIZJoX1fZWOWeOl5vdBiwHMftoD4HLmCUiocxLSeidAcZONuoo907hbLE6Okv4Sqq1qJ6y3aPhS1qhYd4y1XFxmemv02EZ7neHYG6FPuI+a5fSwX/qGyyhyGtovaIinV0d3b9V8LWp/g8WNlhCjfKR1cUeIdtKq41SX1puWjq+rXZ4JXLTnY8avzDb3lbWRMU+KtkjKUsXTbqfzSHadXFfXhclx07MA36i0VzO0GjHuSGVsFKqzxeSNz/He0D7EPTnJg2h04T0GispI0K6ZzKLLfHqAFtW2txxvqS+doaNyhlZX2+Nq9MBCDxzo+jFOA1aMh1BqQcxwCHctjyjnaq6rFDU+Fh/nu6MpvsHqiD4pWEhNg+xNVLCQVVH2SYHKBaDlaKAo3Z/GMh2Nb69Q4qN+lzwmdi1a/uu4c6v3t0Mc4+WjuTwT00Out5BrgLOGdnXpbpkDSTB3PrmF/mt1LyW/OhylDeW4vrQ4k16GuOMfYQQ7Qs84wdnGzY5iazs/tfxEczoQeu9c7manaCEDtH8BrE8pjskAf+yzA3oHnSxCgjbSx+7EuXfj8nVidowZPy4WdKrBjLcIbdkU+Wu69uzKcCxSxEDrwGJpbGud7KMvGCHXsbLuZm5Xrz4Sac5J2KOEKJqxcgP5f4S/9Y8eJ2srI0JqWL6BTNk61/tIMWaROgpxla+2QbqtLeWHuQwvldRm/TMyfViQbAsjLimPXK17wLmL98RLjpIxyp2ttKF1tCqbKymPlvQoe9vHKJ7s/kCtwFLudVwl13DOtXGUDGAUTPIoQrflssjLfKt5Fan70c7+L9SNrotakxQDYTK4pCEuvx9htGZLmcCopvH7CmeTW+vjpVbVfIY4Fs+sufwV1H4Av7Xc+t6PTqdgFe7iGCAK5s5ohGqClRZ+vO4WeOmRqWmZe8PPjEndyq65THxN1s3E2LPaVA5w1LxWWQtdvgyNU4vGqacOW7jXaLSo67UlOmZji5barfTlV4dbqwblKUuZ98g0KvaQ0o6l/Kj2WKp8jK9Rb1laGyytEGarvRtgz3kfpHuuL8/ur/LVPRD30LfpogdG8UsPZ2mMPpeurY7UiILkfFvZV3v2t7FGcu+gBZWU6RynnDG069TFa5FL+jO1sqVo541F0OeWLlQbbWPbWP7lCvIM50SG81IjbmOLSMlvyxEsWaSbls8RYOY/RJ+K/I7qmNlubd5JUPAnTLxJs8rwokhhiPrnMm+7K9HrrhW/BhgTTpV33QFa9d+wpEAYnUlwe5YZviG5ytFOAnm0HbSfq3aKdvGGlkQ3Ueq5+NTDxlDUa8a6PbZ0j3Xffg4tpdbNW3e14Pkl3hw5fpfZ0QtxVTtTPup86f5ytEK1yhXvq/QwXeJr9DHFNnZkYaK8IqYtPvHmQhLV40IYHy71elFH/nqS15GZdqd8KevWmnIx00A25gTjJe4cqES4vLsbTm/uI6YfnRV6HcTa1KiGoySzcanKD9iWVmalgqUIya7n1qTEWo/K1gvDw141jB0nSxmhFUwEl7uh1nYf2oVohc/GEIWuoJO9ZXGiTfMTuOTvQLiiRM3RJ4fYBD/3jmiI7a/hVMS5KlNmM8AaaRN6SzF4qPpZbFGto3OLuk3fh4M/jxh0zUkf44paV3aizEtuU/enf4HWYCwiVnrTsn4fbC58T1Y51elPjBaO700s9Dc5dfuiOfj0pMjFnw/tb3C96Av9bVO9PmjqfA+KHOrw0OcZ/N65aV2fl82pWl+rXHx50Dqgd140Tu4Alscspp2PhRpbb+Tr5yCtQ7+Cul4t/td+aD6GU31evtwy/Obs1OOtU7tIZWalX1x/zhhuPqO5nKM/zzTvnfGa3PzI/wtqvanU6s3XT1/6pWYMaF5zQflQXjrC26PIyOtLRe4PuGRIxX/EH67wXyWc5zTK5KhDSe9XlFPTLXhq+stLV+/0Mx+ZDJ0ymYrUTDzRxJOxDbEr7sFPI/cA654SpW8q6a/Eur+j7UFtH62HzqZTBqGNdRFmQcxuWg/vzTnaMonlmV4649uCGrknvo+18rzvQ2wvz/y2Cn0r/5KE5voDkYpeITJZ3uUz86oDPSjuwFEuSH/vG+CZespm0Qm0M489RjpHRZGS/vp5jogexoXLks4RoUdLFeWOk3IHzyRFJbQ7hb51cYSP1E6/3HeQ5/PDPLsUiF9gXahWB7lSc1IdOKR6jpmBDup/AyK0X4l1+Luuym5JD1YkzfAdFCV6bT2rPgm2cI4L8zXjdcyD6UzdTLVLMao3u4fVmditUi504r0aP6jADywpm/i2XmHcPRbVucNpBc2pksnezx0KnfckPchoNszHR3X8PKvgNfPo/14pes+SdAdk6WC2PcD9vDHSS5RutlF6OldZnbe9XyGt/mqTaJqTlWYc6DOS1XsCiRp35bOfzkFyuZqohI491+lEJndaJHZS4ufnyOM0ROjRW76vPj3lqExZSaYeXyLPPGSZedDpM9L0WQoDVhJlH46vrW0u/18fq4WjWzc3N25uPr699tld9f+AvCt+In4qbsDa92vxGYz/A3EInH4v/iT+Kv629butP279eesv1PSdKwrzY1H4t/WP/wKCyljP</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> Shr¨ odinger problem: <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">AABFGnictVzdcxtJEZ8cX0f4ysEjPOzhC5W7CsE2R0FxRdUllpP44iROJDu5i5OUVlopStZaRSvZSXT+Tyj+FaooXigKnnjhD6AKnnjjmf6Y2ZmVZrdnTciW7dnR/Lp7emZ6untGiSfpKJ+tr//93Dtf+erXvv6Nd795/lvf/s53v3fhve8f5Nl82kv2e1maTR/G3TxJR+NkfzaapcnDyTTpHsVp8iB+sYWfPzhOpvkoG3dmryfJ46PucDwajHrdGVRlF36kDtVMJeoV/B7Bz0K11TM1Vf9RfXgfqyF8NlWRmsDvTMUqhfcj9Wt1+vTC2vqVdfoXrRY2dGFN6X972Xvv/wN49YFKT82BRgLUZ1BOVVfl8DxSG2od+MzUY5CiC/xQoh5xPFXnATuHVgm06ELtC/iNsj3StWN4R5o5oXvAJYWfKSAjdREwGbTDfiC3iD6fE2WsraK9IJoo22v4G2taR1A7Ax3lIs60DMVhX2ZqoH5FfUDtT6gGe9fTVOakFZQ8cno1AwoTPVI4blMo9whp9BwRJqe+o2679Pk/qSXW4ntPt52rf5GUF+GJYD5w77OCQlcdE/2IRnOuZwVyGEE/xtQK+4ilE9L1EfV+DO0XUH8HnlMqGZ3E8Cyo9rQWuQWPD7klIm/A40PeEJG78PiQuyJyDx4fck8jETslnfvxbXh8+LbI+R48PuQ9EXkfHh/yvog8gMeHPBCRX8DjQ34hIq/D40NeF5G34PEhb4nIDjw+ZEdE7sPjQ+6LyG14fMhtjaxeqVOy22OyCvWr8iqUyzzQUqRQc1WU7xpZRx/2WsCa7lVg5VXdgr9+bCtAp0kFdjtg3g0qsPLMuwE20o+VbdFN2k182JsidgdmgB+7I2I/U88rsJ8FrLQXFVh5re1COz9Wtr634c2PvS1i70DJj5X3qLtQ48feDdgxJhXYPRF7T72swIZY/WkFVrb7bbArfqy8T3WgvR8bYk3nFVjZnh6AB+PHyrvVA6j1Yx+I2IfgZ/uxD0Xs52Dd/djPA3bYNxVYs8eepx1kSP5IAiu2jlq3WJVYmgC1rsA/LfaWlHzjGOolzLDADAlzJCJuFIgbgYjdArEbLFde2NGc/F2ZS7tAtAMRcbE3YWkmtu8X7bGUBiBaBaK1hKjzSHGsTV+OybswNRJyVuxcWArpU1bYbywlej7UW16DuFtC8Nx+RjP/MkVLGEGhpuqoPSv2eEZG9F6HOKHozfTS8JBxs8IquKhXIir2oGIR9dqDei2i5h7UXEQde1DHIsqufBd3GDADrP5PKJcxKKwb+8jVTwRewVXYdW7CGo1g/uyBF3ifau7C3zbF3tJTJxlG87hPYpbjcckST6G0UGtQb6PCFsXXKa2wBCTjlnd1jI9vmNtY6DXHVvi02MmjImMSTmdE8gwLOugtRrSemtG5RTWn5N1xqRn+ZrHuTakZfps0fkpePJea4Wda+tkZZO9obOcM2DasponWvi03pcH5F6Zhyudp10WLi6N6pOcM0nvVkP6OHpmdM4zLFpVYP7bcjEbu9C8v9a8JDavn3NFzMyroPbHXa0pR456Mddxry01lyGgXHWs57FvTkcE2fT0yptyMxh54XFsUcy+cctPZOyl6Y8vNaBwoznuekidvys1oDOmd9WHLzWhgtqWr43xbbmrZUQMcO9tyU6s+piww5oB4znON9Yqm5CfNNbUR+Qf12RrX51/dxzBn86SIEeopWd+2mk5c7GX1Ehl/gU8ymsmB/sXc8cHKNBZqU4yvWIZZaX9fpWP3eNT8LmgxgtXPZwBSzjwFCU1OAq13ChQ3xKir3DOD2xRxOEsGS6hDXTsTvUXLl7NG5bqnVCvFZba3Vo+HZK9zmnsT8gl3SbOSHnYrR7iKoqSh3ZKGZHpNdPdGr9ey9tdF3GQJMSlmWo9OhPgkrT5O9Wm97ej4oj7lmcHDZz52/mK2eaCtDcY8GdkilKWOp9vO5JHcOtxXLyub4+bPIhpRtFfHZDVGdCKVi1GoyRazN76gd0t7n87kkAfT6ME4RprKRPGpGWbRMZ8ekUV17a3EG/VlMnRczsnqGntcjx466KEH3TzG2YId4w6UOhAz7MNbJyDKOV/oKiONT9VPi9PRjEawPqJPSxbS0GB7k5QsZF2U/axE5QTQOBs4Sg+nsUzH4A9XKMlRv08eG7uWLf9FOrk159tdmuPVs7k6E9MnrpvENaJVw6e6/LbMgSVYeD/ZJP+1vpfIrwlHtKES1ycOZ9bLmE78E4pgJ+QZp7TapNVRbu3mp5Y/MZz2lDk7x9PsjCxkRPYvgv0pozkZ0Y97d8CcoLNFSMlGhtidUeHd+HydkTjHrB83Unyrwc63hGzZnPgbuu7qymkucsTA+8Dp0tw2OtklXzAhrlNt3e3art99EGnvSbizhCnauXKJ+H9Iv82PmSdrKzMCNYwjkGtb5xuPjGIW1FGXdvl6G2TaulJ+UMjwREtt9z8r0wclyVoUcZmbMX3g3KN35oWzZEpy5ytteB+ty+Yi5cmSHrG3A4ri2e4P9Q6Mcl+mXXKN1twhzZIhzIJZEUWYtlIWeZlvPa8y9TDa+f+FutV1WWtIMVI2g8sakvL7CUVrrpQpzGqevy9oNfm1Pl1qVc9nTHPxyFnLX0Lt+/DbyG3ew+jEJatwjeYAU7BvViNcE620CON1rcTLzExDy75bfnZOmlZuzVnia7ZuNsY+bkxlj2bNK521MOWz0Hju0HgeqMMOnTVaLZp6Y4meirFFR59WhvJrwq3TgPJcpCx7ZAY1CpDSjaXCqPZFqnKMb1BvRFrrIq0urFb3NMBd8yFI/1pfXt1fFrt7pK6Tb9MjD4zjlz6t0hH5XKa2PlJjCsj5Y21f3dV/SDXIPSYLipT5HieuGD516tFzWkj6E72zZWTnrUUw95ZOdBtjYw+p/PMV5BGtiZzWpUF8TC0SLb8rR7Rkka44PkdEmf8u+VTsd9THzG5rOyZRyZ+w8SavKsuLI4WxmgVk3nZWotcdJ36NKCaca+86BlrNRxgpMMZkEvyeZU4jhLscnySwRxuT/Vy1U3yKN3YkukJSL9RvAmwMR712rrtzy/TY9O0jaIlat6PuayHzS4M5SvzOcqLXpV3tSPuoi6X3s9Hq6l2u/F6nh/kSX6uPObVxIwsb5ZUxh+qTYC4sUTMujAnh0qwXTeRvJnkTmfl0KpSyaW0olzMNbGOeUbwk3QNFhM+7u+T15j4U+hGv0IsJ61LjGokSZuMynR9wLS1mpaKlCMmtl/ak1NmPqvYLy8PdNawdZ0uZkBVMlZS74dZuHw5L0YqcjWEKPcU3e6viRJfmJ/Dg70j5okTDMSSH2AY/96raUttv4VbES13mzGZENWgT+ksxeFf3s9yiXkcvHeou/RAO4TxGoGtJ+hHtqE1lZ8qy5C71cPonZA2mKhGlty2b98HlIvdklVOT/ozIwsm9GSnznZymfTEcQnpS5hLOh883pF4MlPluU7M+GOpyD8ocmvAw9xnCxty2bs7L5VSvr1UuoTx4HzAnLwaHJ4DVMYttF2Khps6IvH0OaB0GNdTNbvG/9sPwsZya8wrlltN3zp4HjDq3S3RmFv3i5mvGcguZzdUcw3lmRe+s1+Tnx/5f1GikMqc3b58++qV2DhheC8X5UFk6xruzyMobSgXPB3wyZOrf6vfn5G8lvCxoVMnRhJI5r6imZlrI1Mw3L329M5+FyGTpVMlUpmbjiTbdjN1SO+o6/GwVHmDTW6L8nUr+i1j/92j7UDsg62Gy6ZxBOKS6hLIg9jStT+/2Hm2VxHinl+/4dqAGz8R3qRbv+96h9njnt1PqW/U3SXit31aZ6pcik+VTPruuYuhB+QSOc0Hm+74R3annbBbfQDsKOGPke1QcKZlvPy8I0ae4cFnSBSHMbKmjHHspx3QnKamgHZf61qMZPtEn/XjugPfzu0V2KVI/o7qu3h1wp5ak2vNI9YgyAzHpfx0itF+oy/D3si77Jd1bkTSnMShL9Mr5rP4m2Kl3XthvM16kPJjJ1B3rdhlF9fb0sD4T26rkwjfe6/HDGvzQkbJNo/WC4u6pqs8dzmtozrVM7nnuWJm8J+sBo9luMT/q4+fjGl7HAf2/VYm+5Uh6A2SJKdse0XnelOilWjfbJD3fq6zP296skdZ8a5Np2puVdh6YO5L1ZwKpnnfVq5/vQUq5mqSCjrvW+UamdFtk5KUkr89JwG2IbkBv5b6G9FSiMhclmQd8E/k4QJbjADoDQZqBSGEoSqLtw9MLaxvL/9fHauFg88rG+pWNe5trn17T/w/Iu+qH6sfqEux9v1SfwvzfU/vA6Xfqj+ov6q+t37b+0PpT68/c9J1zGvMDVfrX+tt/AQ3LTYI=</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> min P2U(a,b) KL(P|K) <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">AABFFHictVxfcxtJEZ8c/w7zLwePvOzhhEooE2xzFFRdUXWJ5Tg+K4kSyU7uoiSllVbKJiuton9xouhrUHwYCh4oCp545wNQBU98BXq6Z3ZmpdntWXNky/bs7Py6e3pnerp7ZhOOk3g62939x6UPvvb1b3zzWx9+e+s73/3e939w+aMfnk3T+aQbnXbTJJ08DjvTKIlH0eksniXR4/Ek6gzDJHoUvjqQzx8tosk0Tket2dtx9HTYGYziftztzKDq+eX9K+35MB4t242gHY+C9iw6ny3bYT84XV1rdw522uHB9dVW+6R+rd143z65vnVl6/nl7d0bu/gv2CzsqcK2UP8a6Ucf/1O0RU+koivmYigiMRIzKCeiI6ZwPRF7YleMoe6pWELdBEoxPo/ESmwBdg6tImjRgdpX8HsAd09U7QjuJc0porvAJYGfCSADcRUwKbSbQFlyC/D5HCnL2iLaS6QpZXsLf0NFawi1M/ECajmcbumLk32Zib74DfYhhj6NsUb2rquozFErUvLA6tUMKIyhTpZ78HwC5S4itZ4DxEyx71K3HXz+L2wpa+V9V7Wdi3+jlFfhCkRT9T7NKHTEAukH+Dbn8IzkSYDzAChEqo+y9AZ1PcTej6D9EurvwbXCktZJCNcSa1elyAO4XMgDFnkElwt5xCLrcLmQdRbZgMuFbCikxE5Q5258Ey4XvslyfgCXC/mART6Ey4V8yCLP4HIhz1jkl3C5kF+yyNtwuZC3WeQJXC7kCYtsweVCtljkKVwu5CmLPITLhTxUyOKZOoErRToxMytvQjnPQ1qKBGpusvLdQuvowt7ymNPdAiw/q2vw142teeg0KsAeeoy7fgGWH3lHYCPdWN4W3cHVxIW9w2KPYQS4sccs9nPxsgD7ucdMe1WA5edaHdq5sbz1vQt3buxdFnsPSm4sv0bdhxo39r7HijEuwDZY7APxugDrY/UnBVje7jfBrrix/DrVgvZurI81nRdgeXt6Bh6MG8uvVo+g1o19xGIfi/MC7GMW+wVYdzf2C48V9l0BVq+xW7iCDNAfiWDGllHrZLNSlsZArcPwT7K1JUHfOIR6DjPIMAPEDFnEUYY48kTUM0TdW65pZken6O/yXJoZoumJCLO1SZZmbPte1l6WEg9ELUPU1hBlHql817ovC/QudA2HnGUrlyz59CnN7LcsRWo8lFtejbifQ9DYfoEjfwejJRlBSU2VUXuRrfGEDPC+DPEGozfdS82Dx80yq2CjzllU6ECFLOqtA/WWRc0dqDmLWjhQCxZlZr6Na3uMAKN/+S6WeEcjgHzk4isAr+AmrDp3YI4GMH4a4AU+xJr78LeJsTd3lUkmo3m5Tsosx9OcJZ5AaSm2od5EhTWMrxOcYRFIRi3vqxhf3sncxlLNObLCq2wlD7KMiT+dGOUZZHSktxjgfKpG5wRrVujdUaka/k4273WpGv4QNb5CL55K1fAzJf3sArK3FLZ1AWwTZtNYad+Uq9Kg/AvR0OUtXHWlxZVvdajGjKR3XpH+sXozxxd4LwdYIv2YcjUaU6t/01z/qtAwep5aeq5GRXpP5PXqUlC5JyMV95pyVRlSXEVHSg5zV/XNyDY99WZ0uRqNBnhcBxhzL61y1dE7znpjytVonAnKe67Qk9flajQGeE/6MOVqNGS2paPifFOuatmlBih2NuWqVn2EWWCZA6IxTzXGK5qgnzRX1GL0D8qzNbbPv7mOyZzNsyxGKKdkfNtiOmG2lpVLpP2FCKzarKIc0r+YWz5YnsZS7LPxFckwy63vm3TMGi81XwctBjD7aQ+Ay5knIKHOSUjrnQDFPTbqyvdM4/ZZnBwl/TVUW9XOWG/R8KWsUb7uOdZycZnprdFjG+31FMfeGH3COmqW00O98A0XUeQ0VM9piKdXRXfv1HzNa3+XxY3XEONspHVxR4h20srjVJfWm5aOr6pdnhlctOdjxq/MNveVtZExT4q2SMpSxtNup/NIdp1cV3eEyXHTswDfqLRXC7QaMe5ITdkoVGeLyRtf4r2hfYp7cpIH0ejCewwUlbGgXTOZRZf59AAtqm1vOd5SXzpDR+UpWl1tj8vRAws9cKCrxzgHsGLcg1ILYoZTuGt5RDlbma5S1PhE/DzbHU3xDZZH9EnOQmoaZG+inIUsi7Jf5Ki8AbQcDRSl+9NYp6Px7Q1KfNTvksfErnnLfxV3bvX+dgfHePFoLs7E9JDrPnINcNbQri7drXMgCZbOJ/vov5b3UvKrwlHaUI7rM4sz6WWEO/4RRrBj9IwTnG3c7Mi3tvNT6080p4bQe+dyNztFCxmg/QtgfUpxTAb4Y58d0DvoZBEStJE+difOvBuXrxOzY8z4cbGgUw1mvEVoy+bIX9O1Z9cUxyJFDLQOrNbGttZJHX3BCLlOlHU3c7t89ZFIc07CHiVE0YyVa8j/Ov7WP3qcbG+MCKlh+Qamyta53keKMYvUUQdX+XIbpNvaUl7JZHimpDbrn5HpSk6yGkZcUh65WveAcxfviZccJROUe7rRhtbRsmyupDxe06PsbR+jeLL7A7UCS7l3cJXcxjnXxlEygFEwy6II3ZbLIq/zLeeVp+5He/p/oW50ndeapBgIk8ElDXH5/QijNVvKBEY1jd9XOJvcWp+stSrnM8KxOLTm8nuo/Rh+a7n1vR+dMGcVbuEYIArmzmiEaoKNFn68buV46ZGpaZl7w8+MSd3KrrlIfE3WzcTYi8pUGjhqzlXWQpcvQuOlReOlpw5buNdotKjrtSV6zsYWLbVb6cuvCrdWBcpzljLvkWlU7CGlHUv5Ue2xVPkYX6PesbR2WVodmK32boA9532Q7rm+PrvfZ6t7IG6jb9NFD4zilx7O0hh9Ll1bHqkRBcn5E2Vf7dnfxhrJPUQLKinTOU45Y2jXqYvXKpP0p2plS9HOG4ugzy29UW20jW1j+ZcbyCHOiSnOS434BFtESn5bjmDNIt2wfI4AM/8d9KnI7yiPme3W5p0EOX/CxJs0qwwvihRGqH8u83a8Eb0eW/FrgDHhXHnXIdCq/oYlBcLoTILbs5ziG5KrHO0kkEcbov3ctFO0izeyJLqBUi/Fbz1sDEW9ZqzbY0v3WPftZ9BSat28dVcLnl/izZHjd5EdvQ6uakPloy7X7i9Gq6NWufx9mR7ma3yNPubYxo4sTJSXx7TFp95cSKJqXAjjw6VaL6rIX03yKjLT7pQvZd1aU85nGsjGvMB4iTsHKhEu7+6a05u7zvQj3KAXItamRjUcJZmNS1V+wLa0MisVrEVIdj23JiXWelS0Xhge9qph7DhZygitYCK43A21tvvQzkUrfDaGKHQFnewtihNtmp/CJX8HwhUlao4+OcQm+Lk3xYE4/ApORbxWZcpsBlgjbUJvLQbvqH7mW5Tr6LVF3abvw8GfRwy65qSPcUWtKjtR5iW3qfvTf4PWYCIiVnrTsnofbC58TzY5VelPjBaO700s9Dc5VfuiOfj0JM/Fnw/tb3C96Av9bVO1PmjqfA/yHKrw0OcZ/N65aV2dl82pXF+bXHx50Dqgd140Tu4AFscspp2PhZpYb+Sr5yCtQ7+Eul4t/td+aD6GU3Vevtym+M3ZS4+3Tu0ilZmVfnH1OWO4+YzmYo7+PNOsd8ZrcvMj/y+o9KZSqzdfPX3pl5oxoHktBeVDeekIb48iI68vFbk/4JIhFf8Rf7rEf5XwOqNRJEcVSnq/opiabsFT019eunqnn/nIZOgUyZSnZuKJJp6MPRDH4jb8HGQeYNVTovRNJf2VWPd3tD2o7aP10Nl0yiC0sS7CLIjZTevhvTlHWySxPNNLZ3xbUCP3xOtYK8/73sP28sxvK9e34i9JaK7fFano5SKT9V0+M69C6EF+B45yQfp73wDP1FM2i06gDT32GOkcFUVK+uvnJSJ6GBeuS7pEhB4tZZRDJ+UQzyRFBbTDXN+6OMLHaqdf7jvI8/mdLLsUiF9gXUetDnKl5qRqOKR6gpmBEPW/CxHar8QO/N1RZbekjQ1Jp/gO8hKdW8/KT4KtnOPCfM14FfNgOlO3UO1SjOrN7mF5JrZWyIVOvJfjByX4gSVlE9/WK4y7J6I8dzgvoTlXMtn7uSOh856kBxnNdrLxUR4/L0p4LTz6f1KIPrEkPQJZQsy2B7ifN0F6idLNIUpP5yrL87Z3SqTVX20STXOy0owDfUayfE8gUeOuePbTOUguVxMV0LHnOp3I5E6LxE5K/Pwce5yG6Hj0lu+rT085KnNWkrnHl8gLD1kWHnT6jDR9lsKAlUTZh+eXt/fW/6+PzcLZ/o293Rt7D/a3P7ul/h+QD8WPxU/ENVj7fi0+g/HfEKfA6ffij+Kv4m+139X+UPtz7S/U9INLCvMjkftX+/t/ARLnUUo=</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="Z7MEFLXRPRpRvSO3gMWPgBVMQfo=">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</latexit> Constraints : <latexit sha1_base64="an9unSN7xD1XRFITI4eRXKm8G4A=">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</latexit> C1 a [ C2 b
  25. Bregman Iterative Projections K = P(0) <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit>

    <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">AABBynictVxbcxPJFW42l13IjU0e8zKJlxSkWGKzVCWpra1aYxvjtQCBZGAXAaXLWAhGGqGRzEXrt/yFvCY/Jb8j/yB5yl/IuXRP90g9c3ocQpftnlZ/55w+0336nNMtetNklM03N/957qMf/PBHP/74k/MXfvLTn/38Fxc//eXDLF3M+vFRP03S2eNeN4uT0SQ+mo/mSfx4Oou7414SP+q92sHPH53Es2yUTtrzd9P46bg7nIyOR/3uHJqedA6/6jSfLS9vXjl9fnFj89om/YvWK1u6sqH0v2b6aXSkOmqgUtVXCzVWsZqoOdQT1VUZlCdqS22qKbQ9VUtom0FtRJ/H6lRdAOwCesXQowutr+D3EJ6e6NYJPCPNjNB94JLAzwyQkboEmBT6zaCO3CL6fEGUsbWM9pJoomzv4G9P0xpD61y9gFYJZ3qG4nAsc3Ws/kRjGMGYptSCo+trKgvSCkoeOaOaA4UptGF9AJ/PoN4npNFzRJiMxo667dLn/6Ke2IrPfd13of5NUl6CEqmWHn2aU+iqE6If0dtcwGcsTwKch0Ah1mPE2hvS9ZhGP4H+S2i/C+WUakYnPShLaj2tRO5A8SF3ROQ+FB9yX0Q2oPiQDRHZhOJDNjUSsTPSuR/fguLDt0TO96H4kPdF5AMoPuQDEfkQig/5UER+B8WH/E5E3oLiQ94SkYdQfMhDEdmG4kO2ReQRFB/ySETuQfEh9zSyfKXOoKREZySsym2oF3mgpUigZVuU7yZZRx/2ZsCa7pdg5VW9C3/92N0AncYl2L2AeXdcgpVn3j7YSD9WtkW3aTfxYW+L2AOYAX7sgYj9Rr0swX4TsNJelWDltdaAfn6sbH3vwJMfe0fE3oWaHyvvUfegxY+9F7BjTEuwTRF7X70uwYZY/VkJVrb7LbArfqy8T7Whvx8bYk0XJVjZnj4ED8aPlXerR9Dqxz4SsY/V2xLsYxH7LVh3P/bbgB32fQnW7LEXaAcZkj8Sw4qtotbNVyXWpkCtK/BP8r0lId+4B+0SZphjhoQZi4j9HLEfiGjkiEawXFluRzPyd2UurRzRCkT08r0Ja3Ox/yDvj7UkALGbI3ZXEFUeKb5rM5YT8i5Mi4Sc5zsX1kLGlOb2G2uxng/Vltcg7hUQPLdf0My/StESRlCoqSpqL/I9npERPVch3lD0ZkZpeMi4eW4VXNRbEdXzoHoi6p0H9U5ELTyohYg68aBORJRd+S6uEzADrP7xXSzpiWcA+8jlJQKvYBt2nduwRiOYP03wAh9Qyz3426LYWypVkmE0j/skZjmeFizxDGpLtQHtNircpfg6oRUWg2Tc856O8fEJcxtLvebYCp/mO3mUZ0zC6YxInmFOB73FiNZTPTqH1HJK3h3X6uFv5+ve1Orh90jjp+TFc60efq6ln59B9rbGts+AbcFqmmrt23pdGpx/YRqmfoF2XbS4+FbHes4gvbc16R/oN3NwhveyQzXWj63Xo5E548sK46tDw+o5c/Rcjwp6T+z1mlpUeyQTHffael0ZUtpFJ1oO+1T3zWCfgX4zpl6PRhM8rh2KuZdOve7sneajsfV6NB4qznuekidv6vVoDOmZ9WHr9WhgtqWr43xbr2vZUQMcO9t6Xas+oSww5oB4znOL9Ypm5CctNLUR+QfV2RrX51/fxzBn8yyPEaopWd+2nE4v38uqJTL+QgxWbV5TDvQvFo4PVqSxVNfF+IplmBf293U6do9HzTdAixGsfj4DkHLmCUhochJovROguCVGXcWRGdx1EYez5HgF1dGtc9FbtHw5a1Rse06tUlxmR2v12CF7ndHcm5JP2CDNSnpolL7hMoqShhoFDcn06ujuvV6vRe1virjpCmKaz7Q+nQjxSVp1nOrTesvR8SV9yjOHwmc+dv5itvlYWxuMeVKyRShLFU+3n8kjuW24r15VNsfNn0X0RtFenZDVGNGJVCZGoSZbzN74kp4t7SM6k0MeTKMP7zHSVKaKT80wi4759IgsqmtvJd6oL5Oh43pGVtfY42r00EEPPej6Mc4O7Bh3odaGmOEIntoBUc6FXFcpaXymPs9PR1N6g9URfVKwkIYG25u4YCGrouwXBSpvAI2zgaP0cBqrdAy+s0ZJjvp98tjYtWj5L9HJrTnf7tIcL5/N5ZmYAXG9TlwjWjV8qstPqxxYgqX3k+vkv1aPEvnV4Yg2VOL6zOHMepnQiX9MEeyUPOOEVpu0Ooq93fzU6ieGU1OZs3M8zU7JQkZk/yLYn1KakxH9uHcHzAk6W4SEbGSI3Rnl3o3P1xmJc8z6cSPFtxrsfIvJli2Iv6Hrrq6M5iJHDLwPnK7MbaOTBvmCMXGdaetu13b17oNIe0/CnSVM0c6Vy8T/Cv02P2aebKzNCNQwvoFM2zrf+0gpZkEddWmXr7ZBpq8r5We5DM+01Hb/szJ9VpBslyIulAd36wFw7tMz88JZMiO5s7U+vI9WZXOR8nRFjzjaY4ri2e4P9Q6Mcl+lXXKD1lyHZskQZsE8jyJMXymLvMq3mleRehjt7P9C3eq6qDWkGCmbwWUNSfn9mKI1V8oEZjXP31e0mvxan630quYzobk4dtby99D6G/ht5DbPYXR6Batwk+YAU7BPViPcEq31CON1s8DLzExDyz5bfnZOml5uy1nia7ZuNsY+qU2lSbPmrc5amPpZaLx0aLwM1GGbzhqtFk27sUTPxdiirU8rQ/nV4dauQXkhUpY9MoMaBUjpxlJhVAciVTnGN6j3Iq1NkVYXVqt7GuCu+RCkf62vru7v8909UrfIt+mTB8bxy4BW6Yh8LtNaHakxBeR8Q9tXd/V3qAW598iCImW+x4krhk+d+lROc0l/p3e2lOy8tQjm3tIb3cfY2A7Vv1hDjmlNZLQuDeIG9Yi1/K4c0YpFuub4HBFl/rvkU7HfUR0zu73tO4kK/oSNN3lVWV4cKUxI/1Lm7WAtej1w4teIYsKF9q57QKv+G0YKjDGZBL9nmdEbwl2OTxLYo+2R/Vy3U3yKN3EkukZSL9VXATaGo1471925ZUZsxvZ76Ilat2/d10PmlwRzlPid5USvS7vaWPuoy5Xns9Hq6l2u+Fylh8UKX6uPBfVxIwsb5RUxHfVlMBeWqB4XxoRwqTeKOvLXk7yOzHw6FUrZ9DaUi5kGtjEvKF6S7oEiwufdXfZ6c1eEcfTW6PUI61LjFokSZuNSnR9wLS1mpc6v7UPcer5yN0qcnahspzDU3d3C2m+2kDFZv0RJORvu7creKUQpchaGKfQV3+gtiw9dml9Cwd+R8kWHhmNI7rAF/u222lF7H+A2xGtd54xmRC1oCwYrsXdXj7PYo1pHrx3qLv0QDuE8RqBrSfoR7aR1ZWfKsuQu9XD6b8gKzFQsSm971h+Dy0UeyTqnOuMZkWWTRzNS5rs4dcdiOISMpMglnA+fa0ijOFbmO031xmCoyyMocqjDw9xjCHvntnd9Xi6nan2tcwnlwbuAOXExODz5K49VbL8QCzVz3siH54DW4biCutkt/tdxGD6WU31eodwy+q7Zy4C3zv1inZFFf7j+mrHcQmZzOcdwnmk+Oust+fmx3xfVelOpM5oPTx/9UTsHDK+l4jyoLB3j3Vlk5Q2lgucCPhlS9R/1j3PytxFe5zTK5KhDyZxTlFMzPWRq5huXvtGZz0JksnTKZCpSs3FEi27E7qgDdQt+dnIPsO7tUP4uJf9FrP/7swNoPSbrYbLonDnoUFtM2Q97ijagZ3t/tkxivMvLd3vb0IJn4Q1qxXu+d6k/3vVtF8ZW/g0SXut3VKoGhYhk9XTPrqsejKB48sY5IPM934ju0nMWi2+ejQPOFs39qVWJlvSJfLOgV4rvOVL2aa5O9Vk9nhzgDftunh+K1B+oravtPO65EudmKefmCueMtFPk8Nb5rPpuVhmXHYfLIM+dneh+KcXZ9jyvOje6W8qF76BX44cV+KEjZYu0/4oi4ZmqzuYtKmgutEzuCetEmUwk6wHjzG7+vqsj25MKXicB4z8sRR86ku6DLD3Kf0d0wjYjeonWzR5JzzcdqzOptyuk1d+jfH5xY2v1/zJYrxxdv/bna1v3b2x8fVP/NwefqF+r36rLsMT/qL4GYk11RAL8Vf1N/X37zna2/W57yV0/Oqcxv1KFf9t/+S/2+aPD</latexit> <latexit sha1_base64="2C/3PX+Ob9HGNyV/4CD6YyFoILM=">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</latexit> P(1) <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">AABBx3ictVzdchPJFW42fwv5Y5PL3EziJQUpQmxCVZLaStUa2xiDAIFk8O4KKP2MhWCkERrJGLS+yCvkNnmXPEfeILnKK+T8dE/3SD1zehxCl+2eVn/nnD7Tffqc0y1602SUzTc3/3nhk+9893vf/8GnFy/98Ec//slPL3/2s6dZupj148N+mqSzo143i5PRJD6cj+ZJfDSdxd1xL4mf9d7s4OfPTuJZNkon7fn7afx83B1ORsejfncOTUed5ovl1a1rZy8vb2ze2KR/0XplS1c2lP7XTD+LDlVHDVSq+mqhxipWEzWHeqK6KoPyjdpSm2oKbc/VEtpmUBvR57E6U5cAu4BeMfToQusb+D2Ep2906wSekWZG6D5wSeBnBshIXQFMCv1mUEduEX2+IMrYWkZ7STRRtvfwt6dpjaF1rl5Bq4QzPUNxOJa5OlZ/pDGMYExTasHR9TWVBWkFJY+cUc2BwhTasD6Az2dQ7xPS6DkiTEZjR9126fN/UU9sxee+7rtQ/yYpr0CJVEuPPs0pdNUJ0Y/obS7gM5YnAc5DoBDrMWLtHel6TKOfQP8ltD+EckY1o5MelCW1nlUid6D4kDsich+KD7kvIhtQfMiGiGxC8SGbGonYGencj29B8eFbIufHUHzIxyLyCRQf8omIfArFh3wqIr+G4kN+LSLvQPEh74jI+1B8yPsisg3Fh2yLyEMoPuShiNyD4kPuaWT5Sp1BSYnOSFiV21Av8kBLkUDLtijfbbKOPuztgDXdL8HKq3oX/vqxuwE6jUuwewHz7rgEK8+8fbCRfqxsi+7SbuLD3hWxBzAD/NgDEXtPvS7B3gtYaW9KsPJaa0A/P1a2vg/gyY99IGIfQs2PlfeoR9Dixz4K2DGmJdimiH2s3pZgQ6z+rAQr2/0W2BU/Vt6n2tDfjw2xposSrGxPn4IH48fKu9UzaPVjn4nYI3Vagj0SsV+BdfdjvwrYYT+UYM0ee4l2kCH5IzGs2Cpq3XxVYm0K1LoC/yTfWxLyjXvQLmGGOWZImLGI2M8R+4GIRo5oBMuV5XY0I39X5tLKEa1ARC/fm7A2F/sP8v5YSwIQuzlidwVR5ZHiuzZjOSHvwrRIyHm+c2EtZExpbr+xFuv5UG15DeJRAcFz+xXN/OsULWEEhZqqovYq3+MZGdFzFeIdRW9mlIaHjJvnVsFFnYqongfVE1HvPaj3ImrhQS1E1IkHdSKi7Mp3cZ2AGWD1j+9iSU88A9hHLi8ReAXbsOvchTUawfxpghf4hFoewd8Wxd5SqZIMo3ncJzHL8bxgiWdQW6oNaLdR4S7F1wmtsBgk456PdIyPT5jbWOo1x1b4LN/JozxjEk5nRPIMczroLUa0nurRuU8tZ+Tdca0e/m6+7k2tHn6PNH5GXjzX6uHnWvr5OWRva2z7HNgWrKap1r6t16XB+RemYeqXaNdFi4tvdaznDNI7rUn/QL+Zg3O8lx2qsX5svR6NzBlfVhhfHRpWz5mj53pU0Htir9fUotojmei419brypDSLjrRctinum8G+wz0mzH1ejSa4HHtUMy9dOp1Z+80H42t16PxVHHe84w8eVOvR2NIz6wPW69HA7MtXR3n23pdy44a4NjZ1uta9QllgTEHxHOeW6xXNCM/aaGpjcg/qM7WuD7/+j6GOZsXeYxQTcn6tuV0evleVi2R8RdisGrzmnKgf7FwfLAijaW6KcZXLMO8sL+v07F7PGq+AVqMYPXzGYCUM09AQpOTQOudAMUtMeoqjszgboo4nCXHK6iObp2L3qLly1mjYttLapXiMjtaq8cO2euM5t6UfMIGaVbSQ6P0DZdRlDTUKGhIpldHdx/0ei1qf1PETVcQ03ym9elEiE/SquNUn9Zbjo6v6FOeORQ+87HzF7PNx9raYMyTki1CWap4uv1MHsltw331urI5bv4sojeK9uqErMaITqQyMQo12WL2xpf0bGkf0pkc8mAafXiPkaYyVXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5Xo4cOeuhB149xdmDHeAi1NsQMh/DUDohyLuW6SknjM/Xb/HQ0pTdYHdEnBQtpaLC9iQsWsirKflWg8g7QOBs4Sg+nsUrH4DtrlOSo3yePjV2Llv8Kndya8+0uzfHy2VyeiRkQ15vENaJVw6e6/LTKgSVYej+5Sf5r9SiRXx2OaEMlri8czqyXCZ34xxTBTskzTmi1Sauj2NvNT61+Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8DZytw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlK/K/Rb/Nj5snG2oxADeMbyLSt872PlGIW1FGXdvlqG2T6ulJ+nsvwQktt9z8r0+cFyXYp4kJ5cLceAOc+PTMvnCUzkjtb68P7aFU2FylPV/SIoz2mKJ7t/lDvwCj3ddolN2jNdWiWDGEWzPMowvSVssirfKt5FamH0c7+L9StrotaQ4qRshlc1pCU348pWnOlTGBW8/x9Q6vJr/XZSq9qPhOai2NnLX8Lrb+E30Zu8xxGp1ewCrdpDjAF+2Q1wi3RWo8wXrcLvMzMNLTss+Vn56Tp5bacJ75m62Zj7JPaVJo0a0511sLUz0PjtUPjdaAO23TWaLVo2o0leinGFm19WhnKrw63dg3KC5Gy7JEZ1ChASjeWCqM6EKnKMb5BfRBpbYq0urBa3dMAd82HIP1rfXV1f5vv7pG6Q75Nnzwwjl8GtEpH5HOZ1upIjSkg51vavrqrv0MtyL1HFhQp8z1OXDF86tSncpZL+mu9s6Vk561FMPeW3uk+xsZ2qP77NeSY1kRG69IgblGPWMvvyhGtWKQbjs8RUea/Sz4V+x3VMbPb276TqOBP2HiTV5XlxZHChPQvZd4O1qLXAyd+jSgmXGjvuge06r9hpMAYk0nwe5YZvSHc5fgkgT3aHtnPdTvFp3gTR6IbJPVS/TnAxnDUa+e6O7fMiM3YfgM9Uev2rft6yPySYI4Sv/Oc6HVpVxtrH3W58nw+Wl29yxWfq/SwWOFr9bGgPm5kYaO8IqajvgjmwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25hXFS9I9UET4vLurXm/umjCO3hq9HmFdatwiUcJsXKrzA66lxazUxbV9iFsvVu5GibMTle0Uhrq7W1j7zRYyJuuXKClnw71d2TuFKEXOwjCFvuIbvWXxoUvzCyj4O1K+6NBwDMkdtsC/3VY7au8j3IZ4q+uc0YyoBW3BYCX27upxFntU6+itQ92lH8IhnMcIdC1JP6KdtK7sTFmW3KUeTv8dWYGZikXpbc/6Y3C5yCNZ51RnPCOybPJoRsp8F6fuWAyHkJEUuYTz4XMNaRTHynynqd4YDHV5BEUOdXiYewxh79z2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYrtF2KhZs4b+fgc0DocV1A3u8X/Og7Dx3KqzyuUW0bfNXsd8Na5X6wzsugP118zllvIbC7nGM4zzUdnvSU/P/b7olpvKnVG8/Hpoz9q54DhtVScB5WlY7w7i6y8oVTwXMAnQ6r+o/5xQf42wtucRpkcdSiZc4pyaqaHTM1849I3OvNZiEyWTplMRWo2jmjRjdgddaDuwM9O7gHWvR3K36Xkv4j1f392AK3HZD1MFp0zBx1qiyn7YU/RBvRs78+WSYx3eflubxta8Cy8Qa14z/ch9ce7vu3C2Mq/QcJr/YFK1aAQkaye7tl11YMRFE/eOAdkvucb0V16zmLxzbNxwNmiuT+1KtGSPpFvFvRK8T1Hyj7N1ak+q8eTA7xh383zQ5H6HbV1tZ3HPVfi3Czl3FzhnJF2ihxOnc+q72aVcdlxuAzy3NmJ7pdSnG3P86pzo7ulXPgOejV+WIEfOlK2SPtvKBKeqeps3qKC5kLL5J6wTpTJRLIeMM7s5u+7OrI9qeB1EjD++6Xo+46k+yBLj/LfEZ2wzYheonWzR9LzTcfqTOrdCmn19yhfXt7YWv2/DNYrhzdv/OnG1uNbG1/e1v/NwafqF+pX6ios8T+oL4FYUx2Safyr+pv6+/a97en2yfYpd/3kgsb8XBX+bf/lv8hrosI=</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> <latexit sha1_base64="vfF3Fmv2QosO4uooZuk2vF87K5I=">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</latexit> P(2) <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">AABBx3ictVzdchPJFW42fwv5Y5PL3EziJQUpQoxDVZLaStUa2xiDAIFk8O4KKP2MhWCkERrJGLS+yCvkNnmXPEfeILnKK+T8dE/3SD1zehxCl+2eVn/nnD7Tffqc0y1602SUzTc3/3nhk+9893vf/8GnFy/98Ec//slPL3/2s6dZupj148N+mqSzo143i5PRJD6cj+ZJfDSdxd1xL4mf9d7s4OfPTuJZNkon7fn7afx83B1ORsejfncOTUed5ovl1a1rZy8vb2ze2KR/0Xrlpq5sKP2vmX4WHaqOGqhU9dVCjVWsJmoO9UR1VQblG3VTbaoptD1XS2ibQW1En8fqTF0C7AJ6xdCjC61v4PcQnr7RrRN4RpoZofvAJYGfGSAjdQUwKfSbQR25RfT5gihjaxntJdFE2d7D356mNYbWuXoFrRLO9AzF4Vjm6lj9kcYwgjFNqQVH19dUFqQVlDxyRjUHClNow/oAPp9BvU9Io+eIMBmNHXXbpc//RT2xFZ/7uu9C/ZukvAIlUi09+jSn0FUnRD+it7mAz1ieBDgPgUKsx4i1d6TrMY1+Av2X0P4QyhnVjE56UJbUelaJ3IHiQ+6IyH0oPuS+iGxA8SEbIrIJxYdsaiRiZ6RzP74FxYdviZwfQ/EhH4vIJ1B8yCci8ikUH/KpiPwaig/5tYi8A8WHvCMi70PxIe+LyDYUH7ItIg+h+JCHInIPig+5p5HlK3UGJSU6I2FVbkO9yAMtRQIt26J8t8k6+rC3A9Z0vwQrr+pd+OvH7gboNC7B7gXMu+MSrDzz9sFG+rGyLbpLu4kPe1fEHsAM8GMPROw99boEey9gpb0pwcprrQH9/FjZ+j6AJz/2gYh9CDU/Vt6jHkGLH/soYMeYlmCbIvaxeluCDbH6sxKsbPdbYFf8WHmfakN/PzbEmi5KsLI9fQoejB8r71bPoNWPfSZij9RpCfZIxH4F1t2P/Spgh/1QgjV77CXaQYbkj8SwYquodfNVibUpUOsK/JN8b0nIN+5Bu4QZ5pghYcYiYj9H7AciGjmiESxXltvRjPxdmUsrR7QCEb18b8LaXOw/yPtjLQlA7OaI3RVElUeK79qM5YS8C9MiIef5zoW1kDGluf3GWqznQ7XlNYhHBQTP7Vc0869TtIQRFGqqitqrfI9nZETPVYh3FL2ZURoeMm6eWwUXdSqieh5UT0S996Dei6iFB7UQUSce1ImIsivfxXUCZoDVP76LJT3xDGAfubxE4BVsw65zF9ZoBPOnCV7gE2p5BH9bFHtLpUoyjOZxn8Qsx/OCJZ5Bbak2oN1GhbsUXye0wmKQjHs+0jE+PmFuY6nXHFvhs3wnj/KMSTidEckzzOmgtxjReqpH5z61nJF3x7V6+Lv5uje1evg90vgZefFcq4efa+nn55C9rbHtc2BbsJqmWvu2XpcG51+Yhqlfol0XLS6+1bGeM0jvtCb9A/1mDs7xXnaoxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKLjXluvK0NKu+hEy2Gf6r4Z7DPQb8bU69Fogse1QzH30qnXnb3TfDS2Xo/GU8V5zzPy5E29Ho0hPbM+bL0eDcy2dHWcb+t1LTtqgGNnW69r1SeUBcYcEM95brFe0Yz8pIWmNiL/oDpb4/r86/sY5mxe5DFCNSXr25bT6eV7WbVExl+IwarNa8qB/sXC8cGKNJZqS4yvWIZ5YX9fp2P3eNR8A7QYwernMwApZ56AhCYngdY7AYo3xairODKD2xJxOEuOV1Ad3ToXvUXLl7NGxbaX1CrFZXa0Vo8dstcZzb0p+YQN0qykh0bpGy6jKGmoUdCQTK+O7j7o9VrU/qaIm64gpvlM69OJEJ+kVcepPq23HB1f0ac8cyh85mPnL2abj7W1wZgnJVuEslTxdPuZPJLbhvvqdWVz3PxZRG8U7dUJWY0RnUhlYhRqssXsjS/p2dI+pDM55ME0+vAeI01lqvjUDLPomE+PyKK69lbijfoyGTquZ2R1jT2uRg8d9NCDrh/j7MCO8RBqbYgZDuGpHRDlXMp1lZLGZ+q3+eloSm+wOqJPChbS0GB7ExcsZFWU/apA5R2gcTZwlB5OY5WOwXfWKMlRv08eG7sWLf8VOrk159tdmuPls7k8EzMgrlvENaJVw6e6/LTKgSVYej/ZIv+1epTIrw5HtKES1xcOZ9bLhE78Y4pgp+QZJ7TapNVR7O3mp1Y/MZyaypyd42l2ShYyIvsXwf6U0pyM6Me9O2BO0NkiJGQjQ+zOKPdufL7OSJxj1o8bKb7VYOdbTLZsQfwNXXd1ZTQXOWLgfeBsZW4bnTTIF4yJ60xbd7u2q3cfRNp7Eu4sYYp2rlwl/tfot/kx82RjbUaghvENZNrW+d5HSjEL6qhLu3y1DTJ9XSk/z2V4oaW2+5+V6fOCZLsUcaE8uFsPgHOfnpkXzpIZyZ2t9eF9tCqbi5SnK3rE0R5TFM92f6h3YJT7Ou2SG7TmOjRLhjAL5nkUYfpKWeRVvtW8itTDaGf/F+pW10WtIcVI2Qwua0jK78cUrblSJjCref6+odXk1/pspVc1nwnNxbGzlr+F1l/CbyO3eQ6j0ytYhds0B5iCfbIa4ZZorUcYr9sFXmZmGlr22fKzc9L0clvOE1+zdbMx9kltKk2aNac6a2Hq56Hx2qHxOlCHbTprtFo07cYSvRRji7Y+rQzlV4dbuwblhUhZ9sgMahQgpRtLhVEdiFTlGN+gPoi0NkVaXVit7mmAu+ZDkP61vrq6v81390jdId+mTx4Yxy8DWqUj8rlMa3WkxhSQ8y1tX93V36EW5N4jC4qU+R4nrhg+depTOcsl/bXe2VKy89YimHtL73QfY2M7VP/9GnJMayKjdWkQt6hHrOV35YhWLNINx+eIKPPfJZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhQvqXMm8Ha9HrgRO/RhQTLrR33QNa9d8wUmCMyST4PcuM3hDucnySwB5tj+znup3iU7yJI9ENknqp/hxgYzjqtXPdnVtmxGZsv4GeqHX71n09ZH5JMEeJ33lO9Lq0q421j7pceT4fra7e5YrPVXpYrPC1+lhQHzeysFFeEdNRXwRzYYnqcWFMCJd6o6gjfz3J68jMp1OhlE1vQ7mYaWAb84riJekeKCJ83t1Vrzd3TRhHb41ej7AuNW6RKGE2LtX5AdfSYlbq4to+xK0XK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7J1ClCJnYZhCX/GN3rL40KX5BRT8HSlfdGg4huQOW+DfbqsdtfcRbkO81XXOaEbUgrZgsBJ7d/U4iz2qdfTWoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+OrMBMxaL0tmf9Mbhc5JGsc6oznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIpjZb7TVG8Mhro8giKHOjzMPYawd2571+flcqrW1zqXUB68C5gTF4PDk7/yWMX2C7FQM+eNfHwOaB2OK6ib3eJ/HYfhYznV5xXKLaPvmr0OeOvcL9YZWfSH668Zyy1kNpdzDOeZ5qOz3pKfH/t9Ua03lTqj+fj00R+1c8DwWirOg8rSMd6dRVbeUCp4LuCTIVX/Uf+4IH8b4W1Oo0yOOpTMOUU5NdNDpma+cekbnfksRCZLp0ymIjUbR7ToRuyOOlB34Gcn9wDr3g7l71LyX8T6vz87gNZjsh4mi86Zgw61xZT9sKdoA3q292fLJMa7vHy3tw0teBbeoFa85/uQ+uNd33ZhbOXfIOG1/kClalCISFZP9+y66sEIiidvnAMy3/ON6C49Z7H45tk44GzR3J9alWhJn8g3C3ql+J4jZZ/m6lSf1ePJAd6w7+b5oUj9jtq62s7jnitxbpZybq5wzkg7RQ6nzmfVd7PKuOw4XAZ57uxE90spzrbnedW50d1SLnwHvRo/rMAPHSlbpP03FAnPVHU2b1FBc6Flck9YJ8pkIlkPGGd28/ddHdmeVPA6CRj//VL0fUfSfZClR/nviE7YZkQv0brZI+n5pmN1JvVuhbT6e5QvL2/cXP2/DNYrh1s3/nTj5uNbG1/e1v/NwafqF+pX6ios8T+oL4FYUx2Safyr+pv6+/a97en2yfYpd/3kgsb8XBX+bf/lvwnYosM=</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> <latexit sha1_base64="m4yt+a3Val3SpfuPtTQ7FzcDFn8=">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</latexit> P(3) <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">AABBx3ictVzdkhO5FRabv4X8scllbjqZJcWmWDKwVCWprVTtMDMMAwYM9gC7a6D802MMbbdx22bAOxd5hdwm75LnyBskV3mFnB+ppbbVfdQTgmpm1LK+c45OS0fnHMn0pskom29v//PcR9/7/g9++KOPz1/48U9++rOfX/zkF4+zdDHrx0f9NElnT3vdLE5Gk/hoPpon8dPpLO6Oe0n8pPd6Fz9/soxn2SidtOfvpvGzcXc4GR2P+t05ND3tNJ+vLn/x2emLi1vbV7fpX7RZuaYrW0r/a6afREeqowYqVX21UGMVq4maQz1RXZVB+VZdU9tqCm3P1AraZlAb0eexOlUXALuAXjH06ELra/g9hKdvdesEnpFmRug+cEngZwbISF0CTAr9ZlBHbhF9viDK2FpGe0U0UbZ38LenaY2hda5eQquEMz1DcTiWuTpWf6QxjGBMU2rB0fU1lQVpBSWPnFHNgcIU2rA+gM9nUO8T0ug5IkxGY0fddunzf1FPbMXnvu67UP8mKS9BiVRLjz7NKXTVkuhH9DYX8BnLkwDnIVCI9Rix9pZ0PabRT6D/CtrvQzmlmtFJD8qKWk8rkbtQfMhdEXkAxYc8EJENKD5kQ0Q2ofiQTY1E7Ix07se3oPjwLZHzQyg+5EMR+QiKD/lIRD6G4kM+FpHfQPEhvxGRt6D4kLdE5F0oPuRdEdmG4kO2ReQRFB/ySETuQ/Eh9zWyfKXOoKREZySsyh2oF3mgpUigZUeU7yZZRx/2ZsCa7pdg5VW9B3/92L0AncYl2P2AeXdcgpVn3gHYSD9WtkW3aTfxYW+L2EOYAX7soYi9o16VYO8ErLTXJVh5rTWgnx8rW9978OTH3hOx96Hmx8p71ANo8WMfBOwY0xJsU8Q+VG9KsCFWf1aCle1+C+yKHyvvU23o78eGWNNFCVa2p4/Bg/Fj5d3qCbT6sU9E7FN1UoJ9KmK/Buvux34dsMO+L8GaPfYC7SBD8kdiWLFV1Lr5qsTaFKh1Bf5Jvrck5Bv3oF3CDHPMkDBjEXGQIw4CEY0c0QiWK8vtaEb+rsyllSNagYhevjdhbS72H+T9sZYEIPZyxN4aosojxXdtxrIk78K0SMh5vnNhLWRMaW6/sRbr+VBteQ3iQQHBc/slzfwrFC1hBIWaqqL2Mt/jGRnRcxXiLUVvZpSGh4yb51bBRZ2IqJ4H1RNR7zyodyJq4UEtRNTSg1qKKLvyXVwnYAZY/eO7WNETzwD2kctLBF7BDuw6t2GNRjB/muAFPqKWB/C3RbG3VKokw2ge90nMcjwrWOIZ1FZqC9ptVLhH8XVCKywGybjnAx3j4xPmNlZ6zbEVPs138ijPmITTGZE8w5wOeosRrad6dO5Syyl5d1yrh7+dr3tTq4ffJ42fkhfPtXr4uZZ+fgbZ2xrbPgO2BatpqrVv63VpcP6FaZj6Bdp10eLiWx3rOYP0TmrSP9Rv5vAM72WXaqwfW69HI3PGlxXGV4eG1XPm6LkeFfSe2Os1taj2SCY67rX1ujKktItOtBz2qe6bwT4D/WZMvR6NJnhcuxRzr5x63dk7zUdj6/VoPFac9zwlT97U69EY0jPrw9br0cBsS1fH+bZe17KjBjh2tvW6Vn1CWWDMAfGc5xbrFc3IT1poaiPyD6qzNa7Pv7mPYc7meR4jVFOyvm05nV6+l1VLZPyFGKzavKYc6F8sHB+sSGOlrovxFcswL+zvm3TsHo+ab4AWI1j9fAYg5cwTkNDkJNB6J0Dxmhh1FUdmcNdFHM6S4zVUR7fORW/R8uWsUbHtBbVKcZkdrdVjh+x1RnNvSj5hgzQr6aFR+obLKEoaahQ0JNOro7v3er0Wtb8t4qZriGk+0/p0IsQnadVxqk/rLUfHl/QpzxwKn/nY+YvZ5mNtbTDmSckWoSxVPN1+Jo/ktuG+ekXZHDd/FtEbRXu1JKsxohOpTIxCTbaYvfEVPVvaR3QmhzyYRh/eY6SpTBWfmmEWHfPpEVlU195KvFFfJkPH9YysrrHH1eihgx560PVjnF3YMe5DrQ0xwxE8tQOinAu5rlLS+Ex9np+OpvQGqyP6pGAhDQ22N3HBQlZF2S8LVN4CGmcDR+nhNNbpGHxng5Ic9fvksbFr0fJfopNbc77dpTlePpvLMzED4nqduEa0avhUl5/WObAEK+8n18l/rR4l8qvDEW2oxPW5w5n1MqET/5gi2Cl5xgmtNml1FHu7+an1TwynpjJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8q9G5+vMxLnmPXjRopvNdj5FpMtWxB/Q9ddXRnNRY4YeB84XZvbRicN8gVj4jrT1t2u7erdB5H2noQ7S5iinSuXif9n9Nv8mHmytTEjUMP4BjJt63zvI6WYBXXUpV2+2gaZvq6Un+YyPNdS2/3PyvRpQbI9irhQHtytB8C5T8/MC2fJjOTONvrwPlqVzUXK0zU94miPKYpnuz/UOzDKfYV2yS1acx2aJUOYBfM8ijB9pSzyOt9qXkXqYbSz/wt1q+ui1pBipGwGlzUk5fdjitZcKROY1Tx/X9Nq8mt9ttarms+E5uLYWcvfQeuv4beR2zyH0ekVrMJNmgNMwT5ZjXBLtNEjjNfNAi8zMw0t+2z52TlperktZ4mv2brZGHtZm0qTZs2JzlqY+llovHJovArUYZvOGq0WTbuxRC/E2KKtTytD+dXh1q5BeSFSlj0ygxoFSOnGUmFUByJVOcY3qPcirW2RVhdWq3sa4K75EKR/ra+v7u/y3T1St8i36ZMHxvHLgFbpiHwu01odqTEF5HxD21d39XeoBbn3yIIiZb7HiSuGT536VE5zSX+rd7aU7Ly1CObe0lvdx9jYDtW/2ECOaU1ktC4N4gb1iLX8rhzRmkW66vgcEWX+u+RTsd9RHTO7ve07iQr+hI03eVVZXhwpTEj/UubtcCN6PXTi14hiwoX2rntAq/4bRgqMMZkEv2eZ0RvCXY5PEtij7ZH93LRTfIo3cSS6SlKv1J8DbAxHvXauu3PLjNiM7XfQE7Vu37qvh8wvCeYo8TvLiV6XdrWx9lFXa89no9XVu1zxuUoPizW+Vh8L6uNGFjbKK2I66stgLixRPS6MCeFSbxR15K8neR2Z+XQqlLLpbSgXMw1sY15SvCTdA0WEz7u77PXmPhPG0dug1yOsS41bJEqYjUt1fsC1tJiVOr+xD3Hr+crdKHF2orKdwlB3dwtrv9lCxmT9EiXlbLi3K3unEKXIWRim0Fd8o7csPnRpfgkFf0fKFx0ajiG5wxb4tztqV+1/gNsQb3SdM5oRtaAtGKzF3l09zmKPah29cai79EM4hPMYga4l6Ue0k9aVnSnLkrvUw+m/JSswU7Eove1ZfwwuF3kkm5zqjGdElk0ezUiZ7+LUHYvhEDKSIpdwPnyuIY3iWJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXJJZQH7wLmxMXg8OSvPFax/UIs1Mx5Ix+eA1qH4wrqZrf4X8dh+FhO9XmFcsvou2avAt4694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaD48ffRH7RwwvFaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/zsnfRniT0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhEtuhG7qw7VLfjZzT3AurdD+buU/Bex/u/PDqD1mKyHyaJz5qBDbTFlP+wp2oCe7f3ZMonxLi/f7W1DC56FN6gV7/nep/5417ddGFv5N0h4rd9TqRoUIpL10z27rnowguLJG+eAzPd8I7pLz1ksvnk2DjhbNPen1iVa0SfyzYJeKb7nSNmnuTrVZ/V4coA37Lt5fihSv6e2rrbzuOdKnJulnJtrnDPSTpHDifNZ9d2sMi67DpdBnjtb6n4pxdn2PK86N7pXyoXvoFfjhxX4oSNli7T/miLhmarO5i0qaC60TO4J60SZTCTrAePMbv6+qyPbZQWvZcD475ai7zqSHoAsPcp/R3TCNiN6idbNPknPNx2rM6m3K6TV36N8cXHr2vr/ZbBZObp+9U9Xrz28sfXVTf3fHHysfqV+oy7DEv+D+gqINdURmca/qr+pv+/c2ZnuLHdOuOtH5zTml6rwb+cv/wVLNqLE</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">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</latexit> <latexit sha1_base64="CFhSgB7XbG62NslyksxT7vh+IAg=">AABBx3ictVzdkhO5FRabv4X8scllbjqZJcWmWDKwVCWprVTtMDMMAwYM9gC7a6D802MMbbdx22bAOxd5hdwm75LnyBskV3mFnB+ppbbVfdQTgmpm1LK+c45OS0fnHMn0pskom29v//PcR9/7/g9++KOPz1/48U9++rOfX/zkF4+zdDHrx0f9NElnT3vdLE5Gk/hoPpon8dPpLO6Oe0n8pPd6Fz9/soxn2SidtOfvpvGzcXc4GR2P+t05ND3tNJ+vLn/x2emLi1vbV7fpX7RZuaYrW0r/a6afREeqowYqVX21UGMVq4maQz1RXZVB+VZdU9tqCm3P1AraZlAb0eexOlUXALuAXjH06ELra/g9hKdvdesEnpFmRug+cEngZwbISF0CTAr9ZlBHbhF9viDK2FpGe0U0UbZ38LenaY2hda5eQquEMz1DcTiWuTpWf6QxjGBMU2rB0fU1lQVpBSWPnFHNgcIU2rA+gM9nUO8T0ug5IkxGY0fddunzf1FPbMXnvu67UP8mKS9BiVRLjz7NKXTVkuhH9DYX8BnLkwDnIVCI9Rix9pZ0PabRT6D/CtrvQzmlmtFJD8qKWk8rkbtQfMhdEXkAxYc8EJENKD5kQ0Q2ofiQTY1E7Ix07se3oPjwLZHzQyg+5EMR+QiKD/lIRD6G4kM+FpHfQPEhvxGRt6D4kLdE5F0oPuRdEdmG4kO2ReQRFB/ySETuQ/Eh9zWyfKXOoKREZySsyh2oF3mgpUigZUeU7yZZRx/2ZsCa7pdg5VW9B3/92L0AncYl2P2AeXdcgpVn3gHYSD9WtkW3aTfxYW+L2EOYAX7soYi9o16VYO8ErLTXJVh5rTWgnx8rW9978OTH3hOx96Hmx8p71ANo8WMfBOwY0xJsU8Q+VG9KsCFWf1aCle1+C+yKHyvvU23o78eGWNNFCVa2p4/Bg/Fj5d3qCbT6sU9E7FN1UoJ9KmK/Buvux34dsMO+L8GaPfYC7SBD8kdiWLFV1Lr5qsTaFKh1Bf5Jvrck5Bv3oF3CDHPMkDBjEXGQIw4CEY0c0QiWK8vtaEb+rsyllSNagYhevjdhbS72H+T9sZYEIPZyxN4aosojxXdtxrIk78K0SMh5vnNhLWRMaW6/sRbr+VBteQ3iQQHBc/slzfwrFC1hBIWaqqL2Mt/jGRnRcxXiLUVvZpSGh4yb51bBRZ2IqJ4H1RNR7zyodyJq4UEtRNTSg1qKKLvyXVwnYAZY/eO7WNETzwD2kctLBF7BDuw6t2GNRjB/muAFPqKWB/C3RbG3VKokw2ge90nMcjwrWOIZ1FZqC9ptVLhH8XVCKywGybjnAx3j4xPmNlZ6zbEVPs138ijPmITTGZE8w5wOeosRrad6dO5Syyl5d1yrh7+dr3tTq4ffJ42fkhfPtXr4uZZ+fgbZ2xrbPgO2BatpqrVv63VpcP6FaZj6Bdp10eLiWx3rOYP0TmrSP9Rv5vAM72WXaqwfW69HI3PGlxXGV4eG1XPm6LkeFfSe2Os1taj2SCY67rX1ujKktItOtBz2qe6bwT4D/WZMvR6NJnhcuxRzr5x63dk7zUdj6/VoPFac9zwlT97U69EY0jPrw9br0cBsS1fH+bZe17KjBjh2tvW6Vn1CWWDMAfGc5xbrFc3IT1poaiPyD6qzNa7Pv7mPYc7meR4jVFOyvm05nV6+l1VLZPyFGKzavKYc6F8sHB+sSGOlrovxFcswL+zvm3TsHo+ab4AWI1j9fAYg5cwTkNDkJNB6J0Dxmhh1FUdmcNdFHM6S4zVUR7fORW/R8uWsUbHtBbVKcZkdrdVjh+x1RnNvSj5hgzQr6aFR+obLKEoaahQ0JNOro7v3er0Wtb8t4qZriGk+0/p0IsQnadVxqk/rLUfHl/QpzxwKn/nY+YvZ5mNtbTDmSckWoSxVPN1+Jo/ktuG+ekXZHDd/FtEbRXu1JKsxohOpTIxCTbaYvfEVPVvaR3QmhzyYRh/eY6SpTBWfmmEWHfPpEVlU195KvFFfJkPH9YysrrHH1eihgx560PVjnF3YMe5DrQ0xwxE8tQOinAu5rlLS+Ex9np+OpvQGqyP6pGAhDQ22N3HBQlZF2S8LVN4CGmcDR+nhNNbpGHxng5Ic9fvksbFr0fJfopNbc77dpTlePpvLMzED4nqduEa0avhUl5/WObAEK+8n18l/rR4l8qvDEW2oxPW5w5n1MqET/5gi2Cl5xgmtNml1FHu7+an1TwynpjJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8q9G5+vMxLnmPXjRopvNdj5FpMtWxB/Q9ddXRnNRY4YeB84XZvbRicN8gVj4jrT1t2u7erdB5H2noQ7S5iinSuXif9n9Nv8mHmytTEjUMP4BjJt63zvI6WYBXXUpV2+2gaZvq6Un+YyPNdS2/3PyvRpQbI9irhQHtytB8C5T8/MC2fJjOTONvrwPlqVzUXK0zU94miPKYpnuz/UOzDKfYV2yS1acx2aJUOYBfM8ijB9pSzyOt9qXkXqYbSz/wt1q+ui1pBipGwGlzUk5fdjitZcKROY1Tx/X9Nq8mt9ttarms+E5uLYWcvfQeuv4beR2zyH0ekVrMJNmgNMwT5ZjXBLtNEjjNfNAi8zMw0t+2z52TlperktZ4mv2brZGHtZm0qTZs2JzlqY+llovHJovArUYZvOGq0WTbuxRC/E2KKtTytD+dXh1q5BeSFSlj0ygxoFSOnGUmFUByJVOcY3qPcirW2RVhdWq3sa4K75EKR/ra+v7u/y3T1St8i36ZMHxvHLgFbpiHwu01odqTEF5HxD21d39XeoBbn3yIIiZb7HiSuGT536VE5zSX+rd7aU7Ly1CObe0lvdx9jYDtW/2ECOaU1ktC4N4gb1iLX8rhzRmkW66vgcEWX+u+RTsd9RHTO7ve07iQr+hI03eVVZXhwpTEj/UubtcCN6PXTi14hiwoX2rntAq/4bRgqMMZkEv2eZ0RvCXY5PEtij7ZH93LRTfIo3cSS6SlKv1J8DbAxHvXauu3PLjNiM7XfQE7Vu37qvh8wvCeYo8TvLiV6XdrWx9lFXa89no9XVu1zxuUoPizW+Vh8L6uNGFjbKK2I66stgLixRPS6MCeFSbxR15K8neR2Z+XQqlLLpbSgXMw1sY15SvCTdA0WEz7u77PXmPhPG0dug1yOsS41bJEqYjUt1fsC1tJiVOr+xD3Hr+crdKHF2orKdwlB3dwtrv9lCxmT9EiXlbLi3K3unEKXIWRim0Fd8o7csPnRpfgkFf0fKFx0ajiG5wxb4tztqV+1/gNsQb3SdM5oRtaAtGKzF3l09zmKPah29cai79EM4hPMYga4l6Ue0k9aVnSnLkrvUw+m/JSswU7Eove1ZfwwuF3kkm5zqjGdElk0ezUiZ7+LUHYvhEDKSIpdwPnyuIY3iWJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXJJZQH7wLmxMXg8OSvPFax/UIs1Mx5Ix+eA1qH4wrqZrf4X8dh+FhO9XmFcsvou2avAt4694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaD48ffRH7RwwvFaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/zsnfRniT0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhEtuhG7qw7VLfjZzT3AurdD+buU/Bex/u/PDqD1mKyHyaJz5qBDbTFlP+wp2oCe7f3ZMonxLi/f7W1DC56FN6gV7/nep/5417ddGFv5N0h4rd9TqRoUIpL10z27rnowguLJG+eAzPd8I7pLz1ksvnk2DjhbNPen1iVa0SfyzYJeKb7nSNmnuTrVZ/V4coA37Lt5fihSv6e2rrbzuOdKnJulnJtrnDPSTpHDifNZ9d2sMi67DpdBnjtb6n4pxdn2PK86N7pXyoXvoFfjhxX4oSNli7T/miLhmarO5i0qaC60TO4J60SZTCTrAePMbv6+qyPbZQWvZcD475ai7zqSHoAsPcp/R3TCNiN6idbNPknPNx2rM6m3K6TV36N8cXHr2vr/ZbBZObp+9U9Xrz28sfXVTf3fHHysfqV+oy7DEv+D+gqINdURmca/qr+pv+/c2ZnuLHdOuOtH5zTml6rwb+cv/wVLNqLE</latexit> P(4) <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">AABBx3ictVzdkhO5FRabv4X8scllbjqZJQUpQgZCVZLaStUOM8MwYMBgD7C7Bso/PcbQdhu3bQa8c5FXyG3yLnmOvEFylVfI+ZFaalvdRz0hqGZGLes75+i0dHTOkUxvmoyy+fb2P8998p3vfu/7P/j0/IUf/ujHP/npxc9+9iRLF7N+fNRPk3T2rNfN4mQ0iY/mo3kSP5vO4u64l8RPe2928fOny3iWjdJJe/5+Gj8fd4eT0fGo351D07NO88Xq8s0rpy8vbm1f26Z/0Wbluq5sKf2vmX4WHamOGqhU9dVCjVWsJmoO9UR1VQblG3VdbasptD1XK2ibQW1En8fqVF0A7AJ6xdCjC61v4PcQnr7RrRN4RpoZofvAJYGfGSAjdQkwKfSbQR25RfT5gihjaxntFdFE2d7D356mNYbWuXoFrRLO9AzF4Vjm6lj9kcYwgjFNqQVH19dUFqQVlDxyRjUHClNow/oAPp9BvU9Io+eIMBmNHXXbpc//RT2xFZ/7uu9C/ZukvAQlUi09+jSn0FVLoh/R21zAZyxPApyHQCHWY8TaO9L1mEY/gf4raH8A5ZRqRic9KCtqPa1E7kLxIXdF5AEUH/JARDag+JANEdmE4kM2NRKxM9K5H9+C4sO3RM6PoPiQj0TkYyg+5GMR+QSKD/lERH4NxYf8WkTehuJD3haR96D4kPdEZBuKD9kWkUdQfMgjEbkPxYfc18jylTqDkhKdkbAqd6Be5IGWIoGWHVG+W2QdfdhbAWu6X4KVV/Ue/PVj9wJ0Gpdg9wPm3XEJVp55B2Aj/VjZFt2h3cSHvSNiD2EG+LGHIvauel2CvRuw0t6UYOW11oB+fqxsfe/Dkx97X8Q+gJofK+9RD6HFj30YsGNMS7BNEftIvS3Bhlj9WQlWtvstsCt+rLxPtaG/HxtiTRclWNmePgEPxo+Vd6un0OrHPhWxz9RJCfaZiP0KrLsf+1XADvuhBGv22Au0gwzJH4lhxVZR6+arEmtToNYV+Cf53pKQb9yDdgkzzDFDwoxFxEGOOAhENHJEI1iuLLejGfm7MpdWjmgFInr53oS1udh/kPfHWhKA2MsRe2uIKo8U37UZy5K8C9MiIef5zoW1kDGluf3GWqznQ7XlNYiHBQTP7Vc0869StIQRFGqqitqrfI9nZETPVYh3FL2ZURoeMm6eWwUXdSKieh5UT0S996Dei6iFB7UQUUsPaimi7Mp3cZ2AGWD1j+9iRU88A9hHLi8ReAU7sOvcgTUawfxpghf4mFoewt8Wxd5SqZIMo3ncJzHL8bxgiWdQW6ktaLdR4R7F1wmtsBgk454PdYyPT5jbWOk1x1b4NN/JozxjEk5nRPIMczroLUa0nurRuUctp+Tdca0e/k6+7k2tHn6fNH5KXjzX6uHnWvr5GWRva2z7DNgWrKap1r6t16XB+RemYeoXaNdFi4tvdaznDNI7qUn/UL+ZwzO8l12qsX5svR6NzBlfVhhfHRpWz5mj53pU0Htir9fUotojmei419brypDSLjrRctinum8G+wz0mzH1ejSa4HHtUsy9cup1Z+80H42t16PxRHHe85Q8eVOvR2NIz6wPW69HA7MtXR3n23pdy44a4NjZ1uta9QllgTEHxHOeW6xXNCM/aaGpjcg/qM7WuD7/5j6GOZsXeYxQTcn6tuV0evleVi2R8RdisGrzmnKgf7FwfLAijZW6IcZXLMO8sL9v0rF7PGq+AVqMYPXzGYCUM09AQpOTQOudAMXrYtRVHJnB3RBxOEuO11Ad3ToXvUXLl7NGxbaX1CrFZXa0Vo8dstcZzb0p+YQN0qykh0bpGy6jKGmoUdCQTK+O7j7o9VrU/raIm64hpvlM69OJEJ+kVcepPq23HB1f0qc8cyh85mPnL2abj7W1wZgnJVuEslTxdPuZPJLbhvvqVWVz3PxZRG8U7dWSrMaITqQyMQo12WL2xlf0bGkf0Zkc8mAafXiPkaYyVXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5Xo4cOeuhB149xdmHHeAC1NsQMR/DUDohyLuS6SknjM/Xb/HQ0pTdYHdEnBQtpaLC9iQsWsirKflWg8g7QOBs4Sg+nsU7H4DsblOSo3yePjV2Llv8Sndya8+0uzfHy2VyeiRkQ1xvENaJVw6e6/LTOgSVYeT+5Qf5r9SiRXx2OaEMlri8czqyXCZ34xxTBTskzTmi1Sauj2NvNT61/Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8Dp2tw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlM/K/Qb/Nj5snWxoxADeMbyLSt872PlGIW1FGXdvlqG2T6ulJ+nsvwQktt9z8r0+cFyfYo4kJ5cLceAOc+PTMvnCUzkjvb6MP7aFU2FylP1/SIoz2mKJ7t/lDvwCj3Vdolt2jNdWiWDGEWzPMowvSVssjrfKt5FamH0c7+L9StrotaQ4qRshlc1pCU348pWnOlTGBW8/x9Q6vJr/XZWq9qPhOai2NnLX8Lrb+E30Zu8xxGp1ewCrdoDjAF+2Q1wi3RRo8wXrcKvMzMNLTss+Vn56Tp5bacJb5m62Zj7GVtKk2aNSc6a2HqZ6Hx2qHxOlCHbTprtFo07cYSvRRji7Y+rQzlV4dbuwblhUhZ9sgMahQgpRtLhVEdiFTlGN+gPoi0tkVaXVit7mmAu+ZDkP61vr66v81390jdJt+mTx4Yxy8DWqUj8rlMa3WkxhSQ801tX93V36EW5N4jC4qU+R4nrhg+depTOc0l/bXe2VKy89YimHtL73QfY2M7VP/9BnJMayKjdWkQN6lHrOV35YjWLNI1x+eIKPPfJZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhQvqXMm+HG9HroRO/RhQTLrR33QNa9d8wUmCMyST4PcuM3hDucnySwB5tj+znpp3iU7yJI9E1knql/hxgYzjqtXPdnVtmxGZsv4GeqHX71n09ZH5JMEeJ31lO9Lq0q421j7paez4bra7e5YrPVXpYrPG1+lhQHzeysFFeEdNRXwRzYYnqcWFMCJd6o6gjfz3J68jMp1OhlE1vQ7mYaWAb84riJekeKCJ83t1lrzd3RRhHb4Nej7AuNW6RKGE2LtX5AdfSYlbq/MY+xK3nK3ejxNmJynYKQ93dLaz9ZgsZk/VLlJSz4d6u7J1ClCJnYZhCX/GN3rL40KX5BRT8HSlfdGg4huQOW+Df7qhdtf8RbkO81XXOaEbUgrZgsBZ7d/U4iz2qdfTWoe7SD+EQzmMEupakH9FOWld2pixL7lIPp/+OrMBMxaL0tmf9Mbhc5JFscqoznhFZNnk0I2W+i1N3LIZDyEiKXML58LmGNIpjZb7TVG8Mhro8giKHOjzMPYawd2571+flcqrW1yaXUB68C5gTF4PDk7/yWMX2C7FQM+eNfHwOaB2OK6ib3eJ/HYfhYznV5xXKLaPvmr0OeOvcL9YZWfSH668Zyy1kNpdzDOeZ5qOz3pKfH/t9Ua03lTqj+fj00R+1c8DwWinOg8rSMd6dRVbeUCp4LuCTIVX/Uf84J38b4W1Oo0yOOpTMOUU5NdNDpma+cekbnfksRCZLp0ymIjUbR7ToRuyuOlS34Wc39wDr3g7l71LyX8T6vz87gNZjsh4mi86Zgw61xZT9sKdoA3q292fLJMa7vHy3tw0teBbeoFa85/uA+uNd33ZhbOXfIOG1fl+lalCISNZP9+y66sEIiidvnAMy3/ON6C49Z7H45tk44GzR3J9al2hFn8g3C3ql+J4jZZ/m6lSf1ePJAd6w7+b5oUj9jtq62s7jnitxbpZybq5xzkg7RQ4nzmfVd7PKuOw6XAZ57myp+6UUZ9vzvOrc6F4pF76DXo0fVuCHjpQt0v4bioRnqjqbt6igudAyuSesE2UykawHjDO7+fuujmyXFbyWAeO/V4q+50h6ALL0KP8d0QnbjOglWjf7JD3fdKzOpN6pkFZ/j/Llxa3r6/+XwWbl6Ma1P127/ujm1pe39H9z8Kn6hfqVugxL/A/qSyDWVEdkGv+q/qb+vnN3Z7qz3Dnhrp+c05ifq8K/nb/8F4yUosU=</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> <latexit sha1_base64="vQgl7g9reCqWwfb7wjjYDqiD0L4=">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</latexit> P(5) <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> <latexit sha1_base64="xVN+FpNm8xwt23lxDkEcr+0vbvc=">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</latexit> the kernel K become too negligible to be stored in memory as posit become instead null. This can then result in a matrix product Kv smaller entries that become null and result in a division by 0 in the of Equation (4.15). Such issues can be partly resolved by carrying on the multipliers u and v in the log domain. That approach is care Remark 4.22, and related to a direct resolution of the dual of proble Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ + Since the sets C 1 a and C 2 b are a ne, these iterations are known to conve of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhor since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has the kernel K become too negligible to be stored in memory as positive nu become instead null. This can then result in a matrix product Kv or K T u smaller entries that become null and result in a division by 0 in the Sinkh of Equation (4.15). Such issues can be partly resolved by carrying out co on the multipliers u and v in the log domain. That approach is carefully p Remark 4.22, and related to a direct resolution of the dual of problem (4.2 Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can us iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to t of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn itera since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) practice, however, that slowdown is rarely observed in practice for a simpler reason: Sinkhorn’s algorithm will often fail to terminate as soon as some of the elements of the kernel K become too negligible to be stored in memory as positive numbers, and become instead null. This can then result in a matrix product Kv or K T u with ever smaller entries that become null and result in a division by 0 in the Sinkhorn update of Equation (4.15). Such issues can be partly resolved by carrying out computations on the multipliers u and v in the log domain. That approach is carefully presented in Remark 4.22, and related to a direct resolution of the dual of problem (4.2). Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can use Bregman iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). (4.16) Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to the solution of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn iterations (4.15) since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) and P (2 ¸ +2) def. = diag(u ( ¸ +1) )K diag(v ( ¸ +1) ) l Stability of Sinkhorn Iterations). As we discuss in Remarks 4.13 nce of Sinkhorn’s algorithm deteriorates as Á æ 0. In numerical t slowdown is rarely observed in practice for a simpler reason: will often fail to terminate as soon as some of the elements of oo negligible to be stored in memory as positive numbers, and This can then result in a matrix product Kv or K T u with ever come null and result in a division by 0 in the Sinkhorn update ch issues can be partly resolved by carrying out computations nd v in the log domain. That approach is carefully presented in ted to a direct resolution of the dual of problem (4.2). with iterative projections). Denoting P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô constraints, one has U(a, b) = C 1 a fl C 2 b . One can use Bregman Bregman, 1967] f. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). (4.16) 2 b are a ne, these iterations are known to converge to the solution 1967]. These iterates are equivalent to Sinkhorn iterations (4.15) P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), Theorem: <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">AABB0nictVxbcxPJFW42t4XcIHnMyyReUmyKJYZQlctWqtbYxnjRgkAysLsCSpexLBhphEayDVo/pPKav5DX5Gfkd+QfJE/5CzmX7ukeqWdOj0Post3T6u+c02e6T59zukVvmoyy+ebmPy988K1vf+e73/vw4qXv/+CHP/rx5Ss/eZKli1k/PuinSTp71utmcTKaxAfz0TyJn01ncXfcS+Knvdfb+PnT43iWjdJJe/52Gj8fd4eT0eGo351D08vLVzrz+BRwy/ZRnM7i8R/OXl7e2LyxSf+i9cpNXdlQ+l8zvRIdqI4aqFT11UKNVawmag71RHVVBuVrdVNtqim0PVdLaJtBbUSfx+pMXQLsAnrF0KMLra/h9xCevtatE3hGmhmh+8AlgZ8ZICN1FTAp9JtBHblF9PmCKGNrGe0l0UTZ3sLfnqY1hta5OoJWCWd6huJwLHN1qH5HYxjBmKbUgqPrayoL0gpKHjmjmgOFKbRhfQCfz6DeJ6TRc0SYjMaOuu3S5/+intiKz33dd6H+TVJehRKplh59mlPoqmOiH9HbXMBnLE8CnIdAIdZjxNoJ6XpMo59A/yW0P4ByRjWjkx6UJbWeVSK3ofiQ2yJyD4oPuSciG1B8yIaIbELxIZsaidgZ6dyPb0Hx4Vsi50dQfMhHIvIxFB/ysYh8AsWHfCIiv4LiQ34lIu9C8SHvisj7UHzI+yKyDcWHbIvIAyg+5IGI3IXiQ+5qZPlKnUFJic5IWJVbUC/yQEuRQMuWKN8dso4+7J2ANd0vwcqregf++rE7ATqNS7C7AfPusAQrz7w9sJF+rGyL7tFu4sPeE7H7MAP82H0R+7l6VYL9PGClvS7BymutAf38WNn6fgFPfuwXIvYB1PxYeY96CC1+7MOAHWNagm2K2EfqTQk2xOrPSrCy3W+BXfFj5X2qDf392BBruijByvb0CXgwfqy8Wz2FVj/2qYh9pk5LsM9E7Jdg3f3YLwN22HclWLPHXqIdZEj+SAwrtopaN1+VWJsCta7AP8n3loR84x60S5hhjhkSZiwi9nLEXiCikSMawXJluR3NyN+VubRyRCsQ0cv3JqzNxf6DvD/WkgDETo7YWUFUeaT4rs1Yjsm7MC0Scp7vXFgLGVOa22+sxXo+VFteg3hYQPDcPqKZf52iJYygUFNV1I7yPZ6RET1XIU4oejOjNDxk3Dy3Ci7qVET1PKieiHrrQb0VUQsPaiGijj2oYxFlV76L6wTMAKt/fBdLeuIZwD5yeYnAK9iCXecerNEI5k8TvMDH1PIQ/rYo9pZKlWQYzeM+iVmO5wVLPIPaUm1Au40Kdyi+TmiFxSAZ93yoY3x8wtzGUq85tsJn+U4e5RmTcDojkmeY00FvMaL1VI/OfWo5I++Oa/Xw9/J1b2r18Luk8TPy4rlWDz/X0s/PIXtbY9vnwLZgNU219m29Lg3OvzANU79Euy5aXHyrYz1nkN5pTfr7+s3sn+O9bFON9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JRMe9tl5XhpR20YmWwz7VfTPYZ6DfjKnXo9EEj2ubYu6lU687e6f5aGy9Ho0nivOeZ+TJm3o9GkN6Zn3Yej0amG3p6jjf1utadtQAx862XteqTygLjDkgnvPcYr2iGflJC01tRP5BdbbG9fnX9zHM2bzIY4RqSta3LafTy/eyaomMvxCDVZvXlAP9i4XjgxVpLNUtMb5iGeaF/X2djt3jUfMN0GIEq5/PAKSceQISmpwEWu8EKN4Uo67iyAzulojDWXK4guro1rnoLVq+nDUqtr2kVikus6O1euyQvc5o7k3JJ2yQZiU9NErfcBlFSUONgoZkenV0906v16L2N0XcdAUxzWdan06E+CStOk71ab3l6PiqPuWZQ+EzHzt/Mdt8qK0Nxjwp2SKUpYqn28/kkdw23FevK5vj5s8ieqNor47JaozoRCoTo1CTLWZvfEnPlvYBnckhD6bRh/cYaSpTxadmmEXHfHpEFtW1txJv1JfJ0HE9I6tr7HE1euighx50/RhnG3aMB1BrQ8xwAE/tgCjnUq6rlDQ+U5/kp6MpvcHqiD4pWEhDg+1NXLCQVVH2UYHKCaBxNnCUHk5jlY7Bd9YoyVG/Tx4buxYt/1U6uTXn212a4+WzuTwTMyCut4hrRKuGT3X5aZUDS7D0fnKL/NfqUSK/OhzRhkpcXzicWS8TOvGPKYKdkmec0GqTVkext5ufWv3EcGoqc3aOp9kpWciI7F8E+1NKczKiH/fugDlBZ4uQkI0MsTuj3Lvx+TojcY5ZP26k+FaDnW8x2bIF8Td03dWV0VzkiIH3gbOVuW100iBfMCauM23d7dqu3n0Qae9JuLOEKdq5co34f0y/zY+ZJxtrMwI1jG8g07bO9z5SillQR13a5attkOnrSvlRLsMLLbXd/6xMHxUk26GIC+XB3XoAnPv0zLxwlsxI7mytD++jVdlcpDxd0SOO9pCieLb7Q70Do9zXaZfcoDXXoVkyhFkwz6MI01fKIq/yreZVpB5GO/u/ULe6LmoNKUbKZnBZQ1J+P6ZozZUygVnN8/c1rSa/1mcrvar5TGgujp21/A20/hx+G7nNcxidXsEq3KE5wBTsk9UIt0RrPcJ43SnwMjPT0LLPlp+dk6aX23Ke+Jqtm42xj2tTadKsOdVZC1M/D41XDo1XgTps01mj1aJpN5bopRhbtPVpZSi/OtzaNSgvRMqyR2ZQowAp3VgqjOpApCrH+Ab1TqS1KdLqwmp1TwPcNR+C9K/11dX9Tb67R+ou+TZ98sA4fhnQKh2Rz2VaqyM1poCcb2v76q7+DrUg9x5ZUKTM9zhxxfCpU5/KWS7pL/XOlpKdtxbB3Fs60X2Mje1Q/TdryDGtiYzWpUHcph6xlt+VI1qxSDccnyOizH+XfCr2O6pjZre3fSdRwZ+w8SavKsuLI4UJ6V/KvO2vRa/7TvwaUUy40N51D2jVf8NIgTEmk+D3LDN6Q7jL8UkCe7Q9sp/rdopP8SaORDdI6qX6Y4CN4ajXznV3bpkRm7H9Cnqi1u1b9/WQ+SXBHCV+5znR69KuNtY+6nLl+Xy0unqXKz5X6WGxwtfqY0F93MjCRnlFTEd9GsyFJarHhTEhXOqNoo789SSvIzOfToVSNr0N5WKmgW3MEcVL0j1QRPi8u2teb+5jYRy9NXo9wrrUuEWihNm4VOcHXEuLWamLa/sQt16s3I0SZycq2ykMdXe3sPabLWRM1i9RUs6Ge7uydwpRipyFYQp9xTd6y+JDl+anUPB3pHzRoeEYkjtsgX+7pbbV7nu4DfFG1zmjGVEL2oLBSuzd1eMs9qjW0RuHuks/hEM4jxHoWpJ+RDtpXdmZsiy5Sz2c/glZgZmKReltz/pjcLnII1nnVGc8I7Js8mhGynwXp+5YDIeQkRS5hPPhcw1pFIfKfKep3hgMdXkERQ51eJh7DGHv3Pauz8vlVK2vdS6hPHgXMCcuBocnf+Wxiu0XYqFmzht5/xzQOhxWUDe7xf86DsPHcqrPK5RbRt81exXw1rlfrDOy6A/XXzOWW8hsLucYzjPNR2e9JT8/9vuiWm8qdUbz/umjP2rngOG1VJwHlaVjvDuLrLyhVPBcwCdDqv6j/nFB/jbCm5xGmRx1KJlzinJqpodMzXzj0jc681mITJZOmUxFajaOaNGN2G21r+7Cz3buAda9HcrfpeS/iPV/f3YArYdkPUwWnTMHHWqLKfthT9EG9Gzvz5ZJjHd5+W5vG1rwLLxBrXjP9wH1x7u+7cLYyr9Bwmv9C5WqQSEiWT3ds+uqByMonrxxDsh8zzeiu/ScxeKbZ+OAs0Vzf2pVoiV9It8s6JXie46UfZqrU31WjycHeMO+m+eHIvVrautqO497rsS5Wcq5ucI5I+0UOZw6n1XfzSrjsu1wGeS5s2PdL6U4257nVedGd0q58B30avywAj90pGyR9l9TJDxT1dm8RQXNhZbJPWGdKJOJZD1gnNnN33d1ZHtcwes4YPz3S9H3HUn3QJYe5b8jOmGbEb1E62aXpOebjtWZ1HsV0urvUb68vHFz9f8yWK8c3Lrx+xs3H93e+OyO/m8OPlQ/U79Q12CJ/1Z9BsSa6gAYnKi/qr+pv28dbC23/rT1Z+76wQWN+akq/Nv6y38B5rGnzQ==</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> <latexit sha1_base64="ke2hPAlzHfVPygoxSv6JWsRfrmo=">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</latexit> For a ne (C1 a , C2 b ), <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> <latexit sha1_base64="YSyjMkuIcdYOMO9YWj32dGrHkW0=">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</latexit> P? = argmin P2C1 a \C1 b KL(P|K) <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">AABCGXictVxLc9y4EYY3r7Xz8ibHXJhonfKmHEdyXJWktrZqZUm2tRrbY8/I9u6OrSJnqDFtznBMzsiPsf5JfktSlVMq15xyzyE5JPkL6QdAgDMgASqOUZJAEF93owk0uhuko1maFPPNzb+d++Ab3/zWt7/z4fkL3/3e93/ww4sf/ehhkS3yYXw4zNIsfxyFRZwm0/hwnszT+PEsj8NJlMaPohc7eP/RSZwXSTbtz9/M4ieTcDxNjpNhOIemo4uPB92ng2Ie5sFnwWAR5uNJMl0OusEgmQbLAdFf5vHodLAzPBqET7dOg8EwnJW3onQR870I7sHNg87lQffd4OCTo4sbm1c36V+wXtmSlQ0h/3Wzj4JDMRAjkYmhWIiJiMVUzKGeilAUUL4WW2JTzKDtiVhCWw61hO7H4lRcAOwCesXQI4TWF/B7DFdfy9YpXCPNgtBD4JLCTw7IQFwCTAb9cqgjt4DuL4gyttbRXhJNlO0N/I0krQm0zsUzaHXhVE9fHI5lLo7Fb2kMCYxpRi04uqGksiCtoOSBMao5UJhBG9ZHcD+H+pCQSs8BYQoaO+o2pPv/oJ7YitdD2Xch/klSXoISiJ4cfVZSCMUJ0Q/oaS7gHsuTAucxUIjlGLH2inQ9odFPof8S2u9COaWa0kkEZUmtp43IHSg25I4TeQuKDXnLiexAsSE7TmQXig3ZlUjE5qRzO74HxYbvOTnfh2JD3nciH0CxIR84kQ+h2JAPncivoNiQXzmRN6HYkDedyAMoNuSBE9mHYkP2nchDKDbkoRO5B8WG3JPI+pWaQ8mITuJYldtQr/JAS5FCy7ZTvhtkHW3YGx5reliDda/qXfhrx+566DSuwe55zLvjGqx75t0CG2nHum3RbdpNbNjbTuw+zAA7dt+J/UI8r8F+4bHSXtRg3WutA/3sWLf1vQNXduwdJ/Yu1OxY9x51D1rs2HseO8asBtt1Yu+LlzVYH6uf12Dddr8HdsWOde9Tfehvx/pY00UN1m1PH4IHY8e6d6tH0GrHPnJiH4vXNdjHTuyXYN3t2C89dti3NVi1x16gHWRM/kgMK7aJWliuSqzNgFro4J+We0tKvnEE7S7MuMSMCTNxIm6ViFueiE6J6HjLVZR2tCB/182lVyJ6noio3JuwNnf2H5X9sZZ6IHZLxO4KoskjxWetxnJC3oVqcSHn5c6FNZ8xZaX9xlos50Oz5VWIexUEz+1nNPOvULSEERRqqonas3KPZ2RA102IVxS9qVEqHm7cvLQKJuq1ExVZUJET9caCeuNELSyohRN1YkGdOFF65Zu4gccM0PrHZ7GkK54B7CPXlwC8gm3YdW7DGg1g/nTBC3xALffgb49ib1dpkgyjedwnMcvxpGKJc6gtxQa066hwl+LrlFZYDJJxz3syxscrzG0s5ZpjK3xa7uRBmTHxp5OQPOOSDnqLAa2ndnQOqOWUvDuutcPfLte9qrXD75HGT8mL51o7/FxKPz+D7H2J7Z8B24PVNJPa1/W2NDj/wjRU/QLtumhx8alO5JxBeq9b0t+XT2b/DM9lh2qsH11vR6MwxldUxteGhtZzYei5HRX0ntjrVbWg9UimMu7V9bYyZLSLTqUc+qrtk8E+I/lkVL0djS54XDsUcy+NetvZOytHo+vtaDwUnPc8JU9e1dvRGNM160PX29HAbEso43xdb2vZUQMcO+t6W6s+pSww5oB4znOL9opy8pMWklpC/kFztsb0+df3MczZPC1jhGZK2retpxOVe1mzRMpfiMGqzVvKgf7FwvDBqjSW4pozvmIZ5pX9fZ2O3uNR8x3QYgCrn88AXDnzFCRUOQm03ilQ3HJGXdWRKdw1Jw5nyfEKaiBb505vUfPlrFG17YhaXXGZHq3W44DsdUFzb0Y+YYc069JDp/YJ11F0aahT0ZCbXhvdvZXrtar9TSdutoKYlTNtSCdCfJLWHKfatN4zdHxJnvLMofCZj56/mG0+ltYGY56MbBHK0sTT7KfySGYb7qtXhM5x872AnijaqxOyGgmdSBXOKFRli9kbX9K1pn1IZ3LIg2kM4TkGkspM8KkZZtExnx6QRTXtrYs36ktl6LhekNVV9rgZPTbQYwu6fYyzAzvGXaj1IWY4hKu+R5RzodRVRhrPxS/L09GMnmBzRJ9WLKSiwfYmrljIpij7WYXKK0DjbOAo3Z/GKh2FH6xRckf9Nnl07Fq1/Jfo5Fadb4c0x+tnc30mZkRcrxHXgFYNn+ry1SoHlmBpvXON/NfmUSK/NhzRhrq4PjU4s16mdOIfUwQ7I884pdXmWh3V3mZ+avWO4tQV6uwcT7MzspAB2b8A9qeM5mRAP+a7A+oEnS1CSjbSx+4kpXdj83US5xzTflwi+K0GPd9ismUL4q/omquroLnIEQPvA6crc1vppEO+YExcc2nd9dpu3n0Qqd+TMGcJU9Rz5TLx/4R+qx81TzbWZgRqGJ9AIW2d7XlkFLOgjkLa5ZttkOprSvlxKcNTKbXe/7RMH1ck26WIC+XB3XoEnId0zbxwluQkd7HWh/fRpmwuUp6t6BFHe0xRPNv9sdyBUe4rtEtu0Job0CwZwyyYl1GE6uvKIq/ybeZVpe5Hu/i/UNe6rmoNKQZCZ3BZQ678fkzRmillCrOa5+8LWk12recrvZr5TGkuToy1/A5afwq/ldzq2o9OVLEKN2gOMAV9pTXCLcFaDz9eNyq81MxUtPS15qfnpOpltpwlvmbrpmPsk9ZUujRrXsushaqfhcZzg8ZzTx326axRa1G1K0t05Iwt+vK00pdfG279FpQXTspuj0yhEg8pzVjKj+rISdUd4yvUWyetTSetEFareRpgrnkfpH2tr67ud+XuHoib5NsMyQPj+GVEqzQhn0u1NkdqTAE5X5f21Vz9A2pB7hFZUKTM73HiiuFTpyGV01LSn8udLSM7ry2Cem/pleyjbOyA6r9eQ05oTRS0LhXiOvWIpfymHMGKRbpq+BwBZf5D8qnY72iOmc3e+pkEFX9Cx5u8qjQvjhSmpH9X5m1/LXrdN+LXgGLChfSuI6DV/gkjBcaoTILdsyzoCeEuxycJ7NFGZD/X7RSf4k0Nia6S1EvxmYeN4ahXz3VzbqkRq7H9Anqi1vVTt/Vw80u9Obr4neVEL6RdbSJ91OXK9dlohXKXq1436WGxwlfrY0F9zMhCR3lVzEB86s2FJWrHhTE+XNqNoo387SRvIzOfTvlSVr0V5WqmgW3MM4qXXO+BIsLm3V22enOfOMYRrdGLCGtS4xYXJczGZTI/YFpazEqdX9uHuPV8426UGjtR3U6hqJu7hbbfbCFjsn6pcOVsuLcp+6ASpbizMExhKPiN3rr40KT5KRT8HQhbdKg4+uQOe+Dfbosdsfce3oZ4Keuc0QyoBW3BaCX2DuU4qz2adfTSoG7S9+HgzyMBXbukT2gnbSs7U3ZLblL3p/+KrEAuYqf0umf7MZhc3CNZ59RmPAlZNvdoEqG+xWk7FsXBZyRVLv58+FzDNYpjob5pajcGRd09giqHNjzUewx+z1z3bs/L5NSsr3Uuvjx4F1AnLgqHJ3/1sYru52OhcuOJvH8OaB2OG6ir3eJ/HYfiozm15+XLraBvzZ57PHXuF8uMLPrD7deM5uYzm+s5+vPMytFpb8nOj/2+oNWTyozRvH/66I/qOaB4LQXnQd3SMd6cRVpeXyp4LmCTIRP/EX885/4a4WVJo06ONpTUOUU9NdXDTU19cWkbnbrnI5OmUydTlZqOI3r0RuyO2Bc34Wen9ADbvh3K31LyX8Tav58dQesxWQ+VRefMwYDaYsp+6FO0EV3r92frJMZ3efnd3j604Fl4h1rxPd+71B/f9e1Xxlb/BQmv9TsiE6NKRLJ6uqfXVQQjqJ68cQ5Ifecb0Lv0nMXiN88mHmeL6v2pVYmWdMf9ZkFUi48MKYc0V2fyrB5PDvAN+7DMDwXiV9QWSjuPe66Lc7eWc3eFc0HaqXJ4bdxrfjerjsuOwWVU5s5OZL+M4mx9ntecG92t5cLvoDfjxw34sSFlj7T/giLhXDRn8xYNNBdSJvOEdSpUJpL1gHFmWD7v5sj2pIHXicf4D2rRB4akt0CWiPLfAZ2w5UQvlbrZI+n5TcfmTOrtBmnld5RHFze2Vv8vg/XK4bWrv7u6df/6xuc35H9z8KH4ifiZuAxL/DficyDWFYfA4A/i7+Jf4t/bv9/+0/aft//CXT84JzE/FpV/23/9L0TIw6k=</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> <latexit sha1_base64="BN1ogv0C4oQhc5QxWGI/V0PhBzU=">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</latexit> P(`) ! <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">AABB23ictVzNchTJES7Wfwv+Y+2bfWlb4IANjIW8EbZjwxErJAFaBAzMCNjdAWJ+WqOB1vTQPSMBs4rwwSeHr34FX+038HP4DeyTX8H5U9VVPVPdWS1jKiRV19SXmZVdlZWZVUN/mozz2fr6P8998I1vfuvb3/nw/IXvfu/7P/jhxY9+9DhP59kg3h+kSZo97ffyOBlP4v3ZeJbET6dZ3DvqJ/GT/qst/PzJcZzl43TSmb2dxs+OeqPJ+GA86M2g6cXFn1zqtp4vrnTjJLl6GnWz8ehw1suy9CS69OLi2vr1dfoXrVZu6Mqa0v9a6UfRvuqqoUrVQM3VkYrVRM2gnqieyqF8pW6odTWFtmdqAW0Z1Mb0eaxO1QXAzqFXDD160PoKfo/g6SvdOoFnpJkTegBcEvjJABmpy4BJoV8GdeQW0edzooytVbQXRBNlewt/+5rWEbTO1CG0SjjTMxSHY5mpA/VbGsMYxjSlFhzdQFOZk1ZQ8sgZ1QwoTKEN60P4PIP6gJBGzxFhcho76rZHn/+LemIrPg9037n6N0l5GUqk2nr0aUGhp46JfkRvcw6fsTwJcB4BhViPEWsnpOsjGv0E+i+g/T6UU6oZnfShLKj1tBa5BcWH3BKRt6H4kLdF5B4UH3JPRLag+JAtjURsRjr349tQfPi2yPkhFB/yoYh8BMWHfCQiH0PxIR+LyC+h+JBfishbUHzIWyLyLhQf8q6I7EDxITsich+KD7kvIneg+JA7Glm9UjMoKdEZC6tyE+plHmgpEmjZFOW7SdbRh70ZsKYHFVh5VW/DXz92O0CncQV2J2DeHVRg5Zl3G2ykHyvboju0m/iwd0TsLswAP3ZXxH6uXlZgPw9Yaa8qsPJa24N+fqxsfe/Bkx97T8Teh5ofK+9RD6DFj30QsGNMK7AtEftQva7Ahlj9rAIr2/022BU/Vt6nOtDfjw2xpvMKrGxPH4MH48fKu9UTaPVjn4jYp+pNBfapiP0CrLsf+0XADvuuAmv22Au0g4zIH4lhxdZR6xWrEmtToNYT+CfF3pKQb9yHdgkzKjAjwhyJiNsF4nYgYq9A7AXLlRd2NCd/V+bSLhDtQES/2JuwNhP7D4v+WEsCENsFYnsJUeeR4rs2Yzkm78K0SMhZsXNhLWRMaWG/sRbr+VBveQ3iQQnBc/uQZv41ipYwgkJN1VE7LPZ4Rkb0XIc4oejNjNLwkHGzwiq4qDciqu9B9UXUWw/qrYiae1BzEXXsQR2LKLvyXVw3YAZY/eO7WNATzwD2katLBF7BJuw6d2CNRjB/WuAFPqKWB/C3TbG3VOokw2ge90nMcjwrWeIMagu1Bu02Ktym+DqhFRaDZNzzgY7x8QlzGwu95tgKnxY7eVRkTMLpjEmeUUEHvcWI1lMzOnep5ZS8O641w98p1r2pNcPvkMZPyYvnWjP8TEs/O4PsHY3tnAHbhtU01dq39aY0OP/CNEz9Au26aHHxrR7pOYP03jSkv6vfzO4Z3ssW1Vg/tt6MRu6MLy+NrwkNq+fc0XMzKug9sddralHjkUx03GvrTWVIaRedaDnsU9M3g32G+s2YejMaLfC4tijmXjj1prN3WozG1pvReKw473lKnrypN6MxomfWh603o4HZlp6O8229qWVHDXDsbOtNrfqEssCYA+I5zy3WK8rIT5pramPyD+qzNa7Pv7qPYc7meREj1FOyvm01nX6xl9VLZPyFGKzarKEc6F/MHR+sTGOhNsT4imWYlfb3VTp2j0fN74EWI1j9fAYg5cwTkNDkJNB6J0Dxhhh1lUdmcBsiDmfJwRKqq1tnordo+XLWqNz2glqluMyO1uqxS/Y6p7k3JZ9wjzQr6WGv8g1XUZQ0tFfSkEyvie7e6fVa1v66iJsuIabFTBvQiRCfpNXHqT6ttx0dX9anPDMofOZj5y9mmw+0tcGYJyVbhLLU8XT7mTyS24b76jVlc9z8WURvFO3VMVmNMZ1I5WIUarLF7I0v6NnS3qczOeTBNAbwHiNNZar41Ayz6JhPj8iiuvZW4o36Mhk6rudkdY09rkePHPTIg24e42zBjnEfah2IGfbhqRMQ5VwodJWSxjP1y+J0NKU3WB/RJyULaWiwvYlLFrIuyj4sUTkBNM4GjtLDaSzTMfjuCiU56vfJY2PXsuW/TCe35ny7R3O8ejZXZ2KGxHWDuEa0avhUl5+WObAEC+8nG+S/1o8S+TXhiDZU4vrc4cx6mdCJf0wR7JQ844RWm7Q6yr3d/NTyJ4ZTS5mzczzNTslCRmT/ItifUpqTEf24dwfMCTpbhIRsZIjdGRfejc/XGYtzzPpxY8W3Gux8i8mWzYm/oeuurpzmIkcMvA+cLs1to5M98gVj4ppp627Xdv3ug0h7T8KdJUzRzpUrxP8q/TY/Zp6srcwI1DC+gVzbOt/7SClmQR31aJevt0GmryvlpUKG51pqu/9ZmS6VJNumiAvlwd16CJwH9My8cJZkJHe+0of30bpsLlKeLukRR3tAUTzb/ZHegVHua7RLrtGa69IsGcEsmBVRhOkrZZGX+dbzKlMPo53/X6hbXZe1hhQjZTO4rCEpvx9TtOZKmcCs5vn7ilaTX+vZUq96PhOai0fOWv4aWn8Gv43c5jmMTr9kFW7SHGAK9slqhFuilR5hvG6WeJmZaWjZZ8vPzknTy205S3zN1s3G2MeNqbRo1rzRWQtTPwuNlw6Nl4E67NBZo9WiaTeW6IUYW3T0aWUovybcOg0oz0XKskdmUOMAKd1YKozqUKQqx/gG9U6ktS7S6sFqdU8D3DUfgvSv9eXV/XWxu0fqFvk2A/LAOH4Z0iodk89lWusjNaaAnD/R9tVd/V1qQe59sqBIme9x4orhU6cBldNC0l/onS0lO28tgrm3dKL7GBvbpfqvV5BHtCZyWpcG8Qn1iLX8rhzRkkW67vgcEWX+e+RTsd9RHzO7ve07iUr+hI03eVVZXhwpTEj/UuZtdyV63XXi14hiwrn2rvtAq/kbRgqMMZkEv2eZ0xvCXY5PEtij7ZP9XLVTfIo3cSS6TlIv1O8DbAxHvXauu3PLjNiM7WPoiVq3b93XQ+aXBHOU+J3lRK9Hu9qR9lEXS89no9XTu1z5uU4P8yW+Vh9z6uNGFjbKK2O66tNgLixRMy6MCeHSbBRN5G8meROZ+XQqlLLpbSiXMw1sYw4pXpLugSLC591d8XpzV4Vx9Ffo9QnrUuMWiRJm41KdH3AtLWalzq/sQ9x6vnY3SpydqGqnMNTd3cLab7aQMVm/REk5G+7tyt4tRSlyFoYpDBTf6K2KD12an0LB35HyRYeGY0jusA3+7abaUjvv4TbEa13njGZELWgLhkuxd0+Ps9yjXkevHeou/RAO4TzGoGtJ+jHtpE1lZ8qy5C71cPonZAUyFYvS257Nx+BykUeyyqnJeMZk2eTRjJX5Lk7TsRgOISMpcwnnw+ca0igOlPlOU7MxGOryCMocmvAw9xjC3rnt3ZyXy6leX6tcQnnwLmBOXAwOT/6qYxXbL8RCZc4bef8c0Doc1FA3u8X/Og7Dx3JqziuUW07fNXsZ8Na5X6wzsugPN18zllvIbK7mGM4zLUZnvSU/P/b7okZvKnVG8/7poz9q54DhtVCcB5WlY7w7i6y8oVTwXMAnQ6r+o/5xTv42wuuCRpUcTSiZc4pqaqaHTM1849I3OvNZiEyWTpVMZWo2jmjTjdgttatuwc9W4QE2vR3K36Xkv4j1f392CK0HZD1MFp0zB11qiyn7YU/RhvRs789WSYx3eflubwda8Cx8j1rxnu996o93fTulsVV/g4TX+j2VqmEpIlk+3bPrqg8jKJ+8cQ7IfM83orv0nMXim2dHAWeL5v7UskQL+kS+WdCvxPcdKQc0V6f6rB5PDvCGfa/ID0XqV9TW03Ye91yJc6uSc2uJc07aKXN443xWfzerisuWw2VY5M6Odb+U4mx7nlefG92u5MJ30Ovxoxr8yJGyTdp/RZFwpuqzefMamnMtk3vCOlEmE8l6wDizV7zv+sj2uIbXccD471ai7zqS3gZZ+pT/juiELSN6idbNDknPNx3rM6l3aqTV36N8cXHtxvL/ZbBa2d+4/rvrNx5urH12U/83Bx+qn6qfqyuwxH+jPgNiLbUPDP6g/qr+pv6++Xzzj5t/2vwzd/3gnMb8WJX+bf7lv8Y8qjo=</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> <latexit sha1_base64="Dr661wIcJE45bejditNOOjKcjT8=">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</latexit> [Bregman, 1967] <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">AABB0HictVzbkhu3EYWcm6VcLCePeZlkrZScUpTdjSuOy5Uq702rtWiJErmSbFFS8TJLURpyKA65utBbqbzmF/KafEe+I3+QPOUX0hdggCEx05iNItTuYkCc7kYP0OhugOpNk1E239z854X3vvPd733/B+9fvPTDH/34Jx9c/vCn97N0MevHx/00SWcPe90sTkaT+Hg+mifxw+ks7o57Sfyg92IPP39wGs+yUTppz99M48fj7nAyOhn1u3Noenr5g0e7s3g47k6uRVuf/f7Tx08vb2xe36R/0XplS1c2lP7XTD+MjlVHDVSq+mqhxipWEzWHeqK6KoPySG2pTTWFtsdqCW0zqI3o81idqUuAXUCvGHp0ofUF/B7C0yPdOoFnpJkRug9cEviZATJSVwCTQr8Z1JFbRJ8viDK2ltFeEk2U7Q387WlaY2idq2fQKuFMz1AcjmWuTtQfaAwjGNOUWnB0fU1lQVpBySNnVHOgMIU2rA/g8xnU+4Q0eo4Ik9HYUbdd+vxf1BNb8bmv+y7Uv0nKK1Ai1dKjT3MKXXVK9CN6mwv4jOVJgPMQKMR6jFh7Rboe0+gn0H8J7behnFHN6KQHZUmtZ5XIPSg+5J6IPITiQx6KyAYUH7IhIptQfMimRiJ2Rjr341tQfPiWyPkuFB/yroi8B8WHvCci70PxIe+LyG+g+JDfiMgbUHzIGyLyFhQf8paIbEPxIdsi8hiKD3ksIg+g+JAHGlm+UmdQUqIzElblDtSLPNBSJNCyI8q3S9bRh90NWNP9Eqy8qvfhrx+7H6DTuAR7EDDvTkqw8sw7BBvpx8q26CbtJj7sTRF7BDPAjz0SsV+q5yXYLwNW2osSrLzWGtDPj5Wt71fw5Md+JWJvQ82PlfeoO9Dix94J2DGmJdimiL2rXpZgQ6z+rAQr2/0W2BU/Vt6n2tDfjw2xposSrGxP74MH48fKu9UDaPVjH4jYh+p1CfahiP0arLsf+3XADvu2BGv22Eu0gwzJH4lhxVZR6+arEmtToNYV+Cf53pKQb9yDdgkzzDFDwoxFxGGOOAxENHJEI1iuLLejGfm7MpdWjmgFInr53oS1udh/kPfHWhKA2M8R+yuIKo8U37UZyyl5F6ZFQs7znQtrIWNKc/uNtVjPh2rLaxB3Cgie289o5l+jaAkjKNRUFbVn+R7PyIieqxCvKHozozQ8ZNw8twou6rWI6nlQPRH1xoN6I6IWHtRCRJ16UKciyq58F9cJmAFW//gulvTEM4B95PISgVewA7vOTVijEcyfJniB96jlDvxtUewtlSrJMJrHfRKzHI8LlngGtaXagHYbFe5TfJ3QCotBMu55R8f4+IS5jaVec2yFz/KdPMozJuF0RiTPMKeD3mJE66kenVvUckbeHdfq4W/m697U6uEPSONn5MVzrR5+rqWfn0P2tsa2z4FtwWqaau3bel0anH9hGqZ+iXZdtLj4Vsd6ziC91zXpH+k3c3SO97JHNdaPrdejkTnjywrjq0PD6jlz9FyPCnpP7PWaWlR7JBMd99p6XRlS2kUnWg77VPfNYJ+BfjOmXo9GEzyuPYq5l0697uyd5qOx9Xo07ivOe56RJ2/q9WgM6Zn1Yev1aGC2pavjfFuva9lRAxw723pdqz6hLDDmgHjOc4v1imbkJy00tRH5B9XZGtfnX9/HMGfzJI8RqilZ37acTi/fy6olMv5CDFZtXlMO9C8Wjg9WpLFU22J8xTLMC/v7Oh27x6PmG6DFCFY/nwFIOfMEJDQ5CbTeCVDcEqOu4sgMblvE4Sw5WUF1dOtc9BYtX84aFdueUqsUl9nRWj12yF5nNPem5BM2SLOSHhqlb7iMoqShRkFDMr06unur12tR+5sibrqCmOYzrU8nQnySVh2n+rTecnR8RZ/yzKHwmY+dv5htPtHWBmOelGwRylLF0+1n8khuG+6r15TNcfNnEb1RtFenZDVGdCKViVGoyRazN76kZ0v7mM7kkAfT6MN7jDSVqeJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj100EMPun6Mswc7xm2otSFmOIandkCUcynXVUoan6nf5KejKb3B6og+KVhIQ4PtTVywkFVR9rMClVeAxtnAUXo4jVU6Bt9ZoyRH/T55bOxatPxX6OTWnG93aY6Xz+byTMyAuG4T14hWDZ/q8tMqB5Zg6f1km/zX6lEivzoc0YZKXJ84nFkvEzrxjymCnZJnnNBqk1ZHsbebn1r9xHBqKnN2jqfZKVnIiOxfBPtTSnMyoh/37oA5QWeLkJCNDLE7o9y78fk6I3GOWT9upPhWg51vMdmyBfE3dN3VldFc5IiB94GzlbltdNIgXzAmrjNt3e3art59EGnvSbizhCnauXKV+H9Mv82PmScbazMCNYxvINO2zvc+UopZUEdd2uWrbZDp60r5US7DEy213f+sTB8VJNuniAvlwd16AJz79My8cJbMSO5srQ/vo1XZXKQ8XdEjjvaEoni2+0O9A6Pc12iX3KA116FZMoRZMM+jCNNXyiKv8q3mVaQeRjv7v1C3ui5qDSlGymZwWUNSfj+maM2VMoFZzfP3Ba0mv9ZnK72q+UxoLo6dtfwttP4Cfhu5zXMYnV7BKuzSHGAK9slqhFuitR5hvHYLvMzMNLTss+Vn56Tp5bacJ75m62Zj7NPaVJo0a17rrIWpn4fGc4fG80Adtums0WrRtBtL9FSMLdr6tDKUXx1u7RqUFyJl2SMzqFGAlG4sFUZ1IFKVY3yDeivS2hRpdWG1uqcB7poPQfrX+urq/jbf3SN1g3ybPnlgHL8MaJWOyOcyrdWRGlNAzp9o++qu/g61IPceWVCkzPc4ccXwqVOfylku6a/0zpaSnbcWwdxbeqX7GBvbofrv1pBjWhMZrUuD+IR6xFp+V45oxSJdd3yOiDL/XfKp2O+ojpnd3vadRAV/wsabvKosL44UJqR/KfN2tBa9Hjnxa0Qx4UJ71z2gVf8NIwXGmEyC37PM6A3hLscnCezR9sh+rtspPsWbOBJdJ6mX6o8BNoajXjvX3bllRmzG9mvoiVq3b93XQ+aXBHOU+J3nRK9Lu9pY+6jLlefz0erqXa74XKWHxQpfq48F9XEjCxvlFTEd9XkwF5aoHhfGhHCpN4o68teTvI7MfDoVStn0NpSLmQa2Mc8oXpLugSLC591d9XpzHwvj6K3R6xHWpcYtEiXMxqU6P+BaWsxKXVzbh7j1YuVulDg7UdlOYai7u4W132whY7J+iZJyNtzblb1TiFLkLAxT6Cu+0VsWH7o0P4eCvyPliw4Nx5DcYQv82x21pw7ewW2Il7rOGc2IWtAWDFZi764eZ7FHtY5eOtRd+iEcwnmMQNeS9CPaSevKzpRlyV3q4fRfkRWYqViU3vasPwaXizySdU51xjMiyyaPZqTMd3HqjsVwCBlJkUs4Hz7XkEZxosx3muqNwVCXR1DkUIeHuccQ9s5t7/q8XE7V+lrnEsqDdwFz4mJwePJXHqvYfiEWaua8kXfPAa3DSQV1s1v8r+MwfCyn+rxCuWX0XbPnAW+d+8U6I4v+cP01Y7mFzOZyjuE803x01lvy82O/L6r1plJnNO+ePvqjdg4YXkvFeVBZOsa7s8jKG0oFzwV8MqTqP+ofF+RvI7zMaZTJUYeSOacop2Z6yNTMNy59ozOfhchk6ZTJVKRm44gW3YjdU0fqBvzs5R5g3duh/F1K/otY//dnB9B6QtbDZNE5c9ChtpiyH/YUbUDP9v5smcR4l5fv9rahBc/CG9SK93xvU3+869sujK38GyS81r9SqRoUIpLV0z27rnowguLJG+eAzPd8I7pLz1ksvnk2DjhbNPenViVa0ifyzYJeKb7nSNmnuTrVZ/V4coA37Lt5fihSv6W2rrbzuOdKnJulnJsrnDPSTpHDa+ez6rtZZVz2HC6DPHd2qvulFGfb87zq3Oh+KRe+g16NH1bgh46ULdL+C4qEZ6o6m7eooLnQMrknrBNlMpGsB4wzu/n7ro5sTyt4nQaM/1Yp+pYj6SHI0qP8d0QnbDOil2jdHJD0fNOxOpN6s0Ja/T3Kp5c3tlb/L4P1yvH29c+ub93d3vhiV/83B++rn6tfqquwxD9VXwCxpjpW+N8d/FX9Tf19p7XzZudPO3/mru9d0JifqcK/nb/8F3FCpUo=</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> <latexit sha1_base64="bIGQW4XNBrMz7n1MQ0tjo330ojc=">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</latexit> the kernel K become too negligible to be stored in memory as positive nu become instead null. This can then result in a matrix product Kv or K T smaller entries that become null and result in a division by 0 in the Sinkh of Equation (4.15). Such issues can be partly resolved by carrying out co on the multipliers u and v in the log domain. That approach is carefully p Remark 4.22, and related to a direct resolution of the dual of problem (4.2 Remark 4.7 (Relation with iterative projections). Denoting C 1 a def. = {P : P1 m = a} and C 2 b def. = Ó P : P T 1 m = b Ô the rows and columns constraints, one has U(a, b) = C 1 a fl C 2 b . One can u iterative projections [Bregman, 1967] P ( ¸ +1) def. = ProjKL C 1 a (P ( ¸ ) ) and P ( ¸ +2) def. = ProjKL C 2 b (P ( ¸ +1) ). Since the sets C 1 a and C 2 b are a ne, these iterations are known to converge to of (4.7), see [Bregman, 1967]. These iterates are equivalent to Sinkhorn itera since defining P (2 ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ), one has P (2 ¸ +1) def. = diag(u ( ¸ +1) )K diag(v ( ¸ ) ) and P (2 ¸ +2) def. = diag(u ( ¸ +1) )K diag(v ( ¸ +1) ) Iterative projections: <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">AABB13ictVxbcxS5FRab20JubFKVl7x04iXFbhFiO1uVy1aq1tjGeDFgmDGwrIGaS3sY6JkeumeGy+CqPKXymr+Q1+Q/5HfkHyRP+Qs5F6mlnlH3UTsElW21Rt85R6elo3OONHQnyTCfrq//89wH3/jmt779nQ/PX/ju977/gx9e/OhH9/N0lvXio16apNnDbiePk+E4PpoOp0n8cJLFnVE3iR90X2zj5w/mcZYP03F7+mYSPx51BuPhybDXmULT04s/2Z/GGdTncTTJ0udxD5vz3z+9uLZ+dZ3+RauVDV1ZU/rfYfpRdKSOVV+lqqdmaqRiNVZTqCeqo3IoX6sNta4m0PZYLaAtg9qQPo/VqboA2Bn0iqFHB1pfwO8BPH2tW8fwjDRzQveASwI/GSAjdQkwKfTLoI7cIvp8RpSxtYr2gmiibG/gb1fTGkHrVD2DVglneobicCxTdaJ+S2MYwpgm1IKj62kqM9IKSh45o5oChQm0Yb0Pn2dQ7xHS6DkiTE5jR9126PN/UU9sxeee7jtT/yYpL0GJVEuPPi0odNSc6Ef0NmfwGcuTAOcBUIj1GLH2inQ9otGPof8C2m9DOaWa0UkXyoJaT2uR21B8yG0RuQfFh9wTkQdQfMgDEXkIxYc81EjEZqRzP74FxYdviZzvQvEh74rIe1B8yHsi8j4UH/K+iHwExYd8JCKvQ/Ehr4vIm1B8yJsisg3Fh2yLyCMoPuSRiNyF4kPuamT1Ss2gpERnKKzKLaiXeaClSKBlS5TvGllHH/ZawJruVWDlVb0Df/3YnQCdxhXY3YB5d1KBlWfeHthIP1a2RTdoN/Fhb4jYfZgBfuy+iP1SPa/Afhmw0l5UYOW1dgD9/FjZ+t6CJz/2loi9DTU/Vt6j7kCLH3snYMeYVGAPRexd9bICG2L1swqsbPdbYFf8WHmfakN/PzbEms4qsLI9vQ8ejB8r71YPoNWPfSBiH6rXFdiHIvYrsO5+7FcBO+zbCqzZYy/QDjIgfySGFVtHrVOsSqxNgFpH4J8Ue0tCvnEX2iXMoMAMCDMSEXsFYi8QcVAgDoLlygs7mpO/K3NpFYhWIKJb7E1Ym4r9+0V/rCUBiJ0CsbOEqPNI8V2bsczJuzAtEnJa7FxYCxlTWthvrMV6PtRbXoO4U0Lw3H5GM/8KRUsYQaGm6qg9K/Z4Rkb0XId4RdGbGaXhIeOmhVVwUa9FVNeD6oqoNx7UGxE186BmImruQc1FlF35Lu44YAZY/eO7WNATzwD2katLBF7BFuw6N2CNRjB/DsELvEctd+Bvi2JvqdRJhtE87pOY5XhcssQZ1BZqDdptVLhD8XVCKywGybjnHR3j4xPmNhZ6zbEVPi128qjImITTGZI8g4IOeosRradmdG5Syyl5d1xrhr9RrHtTa4bfJY2fkhfPtWb4qZZ+egbZ2xrbPgO2BatporVv601pcP6FaZj6Bdp10eLiWx3pOYP0Xjekv6/fzP4Z3ss21Vg/tt6MRu6MLy+NrwkNq+fc0XMzKug9sddralHjkYx13GvrTWVIaRcdaznsU9M3g336+s2YejMah+BxbVPMvXDqTWfvpBiNrTejcV9x3vOUPHlTb0ZjQM+sD1tvRgOzLR0d59t6U8uOGuDY2dabWvUxZYExB8RznlusV5SRnzTT1IbkH9Rna1yff3Ufw5zNkyJGqKdkfdtqOt1iL6uXyPgLMVi1aUM50L+YOT5YmcZCbYrxFcswLe3vq3TsHo+aPwAtRrD6+QxAypknIKHJSaD1ToDihhh1lUdmcJsiDmfJyRLqWLdORW/R8uWsUbntKbVKcZkdrdXjMdnrnObehHzCA9KspIeDyjdcRVHS0EFJQzK9Jrp7q9drWfvrIm6yhJgUM61HJ0J8klYfp/q03nJ0fEmf8kyh8JmPnb+YbT7R1gZjnpRsEcpSx9PtZ/JIbhvuq1eUzXHzZxG9UbRXc7IaQzqRysUo1GSL2Rtf0LOlfURncsiDafTgPUaaykTxqRlm0TGfHpFFde2txBv1ZTJ0XM/J6hp7XI8eOOiBB908xtmGHeM21NoQMxzBUzsgyrlQ6ColjWfql8XpaEpvsD6iT0oW0tBgexOXLGRdlP2sROUVoHE2cJQeTmOZjsEfr1CSo36fPDZ2LVv+S3Rya863OzTHq2dzdSamT1w3iWtEq4ZPdflpmQNLsPB+skn+a/0okV8TjmhDJa5PHM6slzGd+McUwU7IM05otUmro9zbzU8tf2I4HSpzdo6n2SlZyIjsXwT7U0pzMqIf9+6AOUFni5CQjQyxO8PCu/H5OkNxjlk/bqj4VoOdbzHZshnxN3Td1ZXTXOSIgfeB06W5bXRyQL5gTFwzbd3t2q7ffRBp70m4s4Qp2rlymfh/Qr/Nj5knayszAjWMbyDXts73PlKKWVBHHdrl622Q6etK+XEhwxMttd3/rEwflyTboYgL5cHdug+ce/TMvHCWZCR3vtKH99G6bC5SnizpEUd7QlE82/2B3oFR7iu0S67RmjumWTKAWTAtogjTV8oiL/Ot51WmHkY7/79Qt7ouaw0pRspmcFlDUn4/pmjNlTKBWc3z9wWtJr/Ws6Ve9XzGNBdHzlp+B60/g99GbvMcRqdbsgrXaA4wBftkNcIt0UqPMF7XSrzMzDS07LPlZ+ek6eW2nCW+ZutmY+x5YyqHNGte66yFqZ+FxnOHxvNAHbbprNFq0bQbS/RUjC3a+rQylF8Tbu0GlGciZdkjM6hhgJRuLBVGtS9SlWN8g3or0loXaXVgtbqnAe6aD0H61/ry6n5X7O6Ruk6+TY88MI5f+rRKh+Rzmdb6SI0pIOfPtH11V/8xtSD3LllQpMz3OHHF8KlTj8ppIekv9M6Wkp23FsHcW3ql+xgbe0z1X68gR7QmclqXBvEZ9Yi1/K4c0ZJFuur4HBFl/jvkU7HfUR8zu73tO4lK/oSNN3lVWV4cKYxJ/1LmbX8let134teIYsKZ9q67QKv5G0YKjDGZBL9nmdMbwl2OTxLYo+2S/Vy1U3yKN3YkukpSL9QfAmwMR712rrtzy4zYjO1T6Ilat2/d10PmlwRzlPid5USvQ7vaSPuoi6Xns9Hq6F2u/Fynh9kSX6uPGfVxIwsb5ZUxx+rzYC4sUTMujAnh0mwUTeRvJnkTmfl0KpSy6W0olzMNbGOeUbwk3QNFhM+7u+z15j4RxtFdodclrEuNWyRKmI1LdX7AtbSYlTq/sg9x6/na3ShxdqKqncJQd3cLa7/ZQsZk/RIl5Wy4tyv7cSlKkbMwTKGn+EZvVXzo0vwcCv6OlC86NBxDcoct8G+31LbafQ+3IV7qOmc0I2pBW9Bfir07epzlHvU6eulQd+mHcAjnMQRdS9IPaSdtKjtTliV3qYfTf0VWIFOxKL3t2XwMLhd5JKucmoxnSJZNHs1Qme/iNB2L4RAykjKXcD58riGN4kSZ7zQ1G4OhLo+gzKEJD3OPIeyd297Nebmc6vW1yiWUB+8C5sTF4PDkrzpWsf1CLFTmvJH3zwGtw0kNdbNb/K/jMHwsp+a8Qrnl9F2z5wFvnfvFOiOL/nDzNWO5hczmao7hPNNidNZb8vNjvy9q9KZSZzTvnz76o3YOGF4LxXlQWTrGu7PIyhtKBc8FfDKk6j/qH+fkbyO8LGhUydGEkjmnqKZmesjUzDcufaMzn4XIZOlUyVSmZuOIFt2I3Vb76jr8bBceYNPbofxdSv6LWP/3Z/vQekLWw2TROXNwTG0xZT/sKVqfnu392SqJ8S4v3+1tQwuehR9QK97zvU398a5vuzS26m+Q8Fq/pVLVL0Uky6d7dl11YQTlkzfOAZnv+UZ0l56zWHzzbBRwtmjuTy1LtKBP5JsF3Up815GyR3N1os/q8eQAb9h3ivxQpH5FbR1t53HPlTgfVnI+XOKck3bKHF47n9Xfzarisu1w6Re5s7nul1Kcbc/z6nOjO5Vc+A56PX5Qgx84UrZI+y8oEs5UfTZvVkNzpmVyT1jHymQiWQ8YZ3aK910f2c5reM0Dxn+zEn3TkXQPZOlS/juiE7aM6CVaN7skPd90rM+k3qiRVn+P8unFtY3l/8tgtXK0efV3Vzfubq59cU3/Nwcfqp+qn6vLsMR/o74AYofqCBi8U39Vf1N/33q09cetP239mbt+cE5jfqxK/7b+8l8Xm6mw</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> <latexit sha1_base64="gtAbJeApPn1kIekGgqP+O3RizFI=">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</latexit> hP, Ci + " KL(P|a ⌦ b) = " KL(P|K) + cst <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> <latexit sha1_base64="BKDev5VQxrfCyjh/WSsW5fgsAQ4=">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</latexit> where Ki,j = e Ci,j " aibj <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">AABFIHictVxfc9u4EUeu/67pn8u1j33h1ZdOruNL7TSddubmOpfIjuOzkziR7OQuSjyURMl0aFEWJTmJTl+m0+/R105fOp32pX3vTPvUr9DFLkCAEsgF3Ws4tkEQv93FEljsLsB0RkmcTTY2/n7lnW9881vf/s673736ve//4IfvXXv/R0dZOh13o8NumqTjZ50wi5J4GB1O4kkSPRuNo/Csk0RPO68a8vnTWTTO4nTYmrwZRS/OwsEw7sfdcAJVx9d+2z6/OInG0XnQ3juex+uni+DTIHo5/7jdH4fdebtBlYt5OxplcZIOF4ugHTaO46DdaRyfHl9b27i5gf+C1cKmKqwJ9e8gff+Df4q26IlUdMVUnIlIDMUEyokIRQbXc7EpNsQI6l6IOdSNoRTj80gsxFXATqFVBC1CqH0Fvwdw91zVDuFe0swQ3QUuCfyMARmI64BJod0YypJbgM+nSFnWltGeI00p2xv421G0zqB2Ik6glsPplr442ZeJ6IvfYB9i6NMIa2TvuorKFLUiJQ+sXk2AwgjqZLkHz8dQ7iJS6zlATIZ9l7oN8fm/sKWslfdd1XYq/o1SXocrEE3V+zSnEIoZ0g/wbU7hGcmTAOcBUIhUH2XpAnV9hr0fQvs51D+Ea4ElrZMOXHOsXVQiG3C5kA0WuQOXC7nDIvfhciH3WeQBXC7kgUJK7Bh17sY34XLhmyznx3C5kI9Z5BO4XMgnLPIILhfyiEV+CZcL+SWLvAeXC3mPRe7B5ULuscgWXC5ki0UewuVCHrLIbbhcyG2FLJ+pY7hSpBMzs/IOlIs8pKVIoOYOK99dtI4u7F2POd0twfKzegv+urFbHjqNSrDbHuOuX4LlR94O2Eg3lrdF93E1cWHvs9hdGAFu7C6L/VyclmA/95hpr0qw/Fzbh3ZuLG99H8CdG/uAxT6EkhvLr1GPoMaNfeSxYoxKsAcs9rE4L8H6WP1xCZa3+02wK24sv061oL0b62NNpyVY3p4egQfjxvKr1VOodWOfsthn4nUJ9hmL/QKsuxv7hccK+7YEq9fYq7iCDNAfiWDGVlEL81kpSyOgFjL8k3xtSdA37kA9hxnkmAFizljETo7Y8UTs54h9b7my3I5m6O/yXJo5oumJ6ORrkyxN2Pa9vL0sJR6IrRyxtYSo8kjlu9Z9maF3oWs45CRfuWTJp09pbr9lKVLjodryasSjAoLG9gmO/HWMlmQEJTVVRe0kX+MJGeB9FeICozfdS82Dx01yq2CjXrOojgPVYVFvHKg3LGrqQE1Z1MyBmrEoM/NtXNtjBBj9y3cxxzsaAeQjl18BeAV3YNW5D3M0gPFzAF7gE6x5BH+bGHtzV5VkMpqX66TMcrwoWOIxlOZiDepNVLiF8XWCMywCyajlIxXjyzuZ25irOUdWeJGv5EGeMfGnE6M8g5yO9BYDnE/16OxhzQK9OyrVw9/P570u1cNvo8YX6MVTqR5+oqSfXEL2lsK2LoFtwmwaKe2bcl0alH8hGrp8FVddaXHlWz1TY0bSe12T/q56M7uXeC8NLJF+TLkejczqX1boXx0aRs+Zped6VKT3RF6vLgW1ezJUca8p15UhxVV0qOQwd3XfjGzTU29Gl+vROACPq4Ex99wq1x29o7w3plyPxpGgvOcCPXldrkdjgPekD1OuR0NmW0IV55tyXcsuNUCxsynXtepDzALLHBCNeaoxXtEY/aSpohajf1CdrbF9/tV1TOZsXuYxQjUl49uW0+nka1m1RNpfiMCqTWrKIf2LqeWDFWnMxS02viIZJoX1fZWOWeOl5vdBiwHMftoD4HLmCUiocxLSeidAcZONuoo907hbLE6Okv4Sqq1qJ6y3aPhS1qhYd4y1XFxmemv02EZ7neHYG6FPuI+a5fSwX/qGyyhyGtovaIinV0d3b9V8LWp/g8WNlhCjfKR1cUeIdtKq41SX1puWjq+rXZ4JXLTnY8avzDb3lbWRMU+KtkjKUsXTbqfzSHadXFfXhclx07MA36i0VzO0GjHuSGVsFKqzxeSNz/He0D7EPTnJg2h04T0GispI0K6ZzKLLfHqAFtW2txxvqS+doaNyhlZX2+Nq9MBCDxzo+jFOA1aMh1BqQcxwCHctjyjnaq6rFDU+Fh/nu6MpvsHqiD4pWEhNg+xNVLCQVVH2SYHKBaDlaKAo3Z/GMh2Nb69Q4qN+lzwmdi1a/uu4c6v3t0Mc4+WjuTwT00Out5BrgLOGdnXpbpkDSTB3PrmF/mt1LyW/OhylDeW4vrQ4k16GuOMfYQQ7Qs84wdnGzY5iazs/tfxEczoQeu9c7manaCEDtH8BrE8pjskAf+yzA3oHnSxCgjbSx+7EuXfj8nVidowZPy4WdKrBjLcIbdkU+Wu69uzKcCxSxEDrwGJpbGud7KMvGCHXsbLuZm5Xrz4Sac5J2KOEKJqxcgP5f4S/9Y8eJ2srI0JqWL6BTNk61/tIMWaROgpxla+2QbqtLeWHuQwvldRm/TMyfViQbAsjLimPXK17wLmL98RLjpIxyp2ttKF1tCqbKymPlvQoe9vHKJ7s/kCtwFLudVwl13DOtXGUDGAUTPIoQrflssjLfKt5Fan70c7+L9SNrotakxQDYTK4pCEuvx9htGZLmcCopvH7CmeTW+vjpVbVfIY4Fs+sufwV1H4Av7Xc+t6PTqdgFe7iGCAK5s5ohGqClRZ+vO4WeOmRqWmZe8PPjEndyq65THxN1s3E2LPaVA5w1LxWWQtdvgyNU4vGqacOW7jXaLSo67UlOmZji5barfTlV4dbqwblKUuZ98g0KvaQ0o6l/Kj2WKp8jK9Rb1laGyytEGarvRtgz3kfpHuuL8/ur/LVPRD30LfpogdG8UsPZ2mMPpeurY7UiILkfFvZV3v2t7FGcu+gBZWU6RynnDG069TFa5FL+jO1sqVo541F0OeWLlQbbWPbWP7lCvIM50SG81IjbmOLSMlvyxEsWaSbls8RYOY/RJ+K/I7qmNlubd5JUPAnTLxJs8rwokhhiPrnMm+7K9HrrhW/BhgTTpV33QFa9d+wpEAYnUlwe5YZviG5ytFOAnm0HbSfq3aKdvGGlkQ3Ueq5+NTDxlDUa8a6PbZ0j3Xffg4tpdbNW3e14Pkl3hw5fpfZ0QtxVTtTPup86f5ytEK1yhXvq/QwXeJr9DHFNnZkYaK8IqYtPvHmQhLV40IYHy71elFH/nqS15GZdqd8KevWmnIx00A25gTjJe4cqES4vLsbTm/uI6YfnRV6HcTa1KiGoySzcanKD9iWVmalgqUIya7n1qTEWo/K1gvDw141jB0nSxmhFUwEl7uh1nYf2oVohc/GEIWuoJO9ZXGiTfMTuOTvQLiiRM3RJ4fYBD/3jmiI7a/hVMS5KlNmM8AaaRN6SzF4qPpZbFGto3OLuk3fh4M/jxh0zUkf44paV3aizEtuU/enf4HWYCwiVnrTsn4fbC58T1Y51elPjBaO700s9Dc5dfuiOfj0pMjFnw/tb3C96Av9bVO9PmjqfA+KHOrw0OcZ/N65aV2fl82pWl+rXHx50Dqgd140Tu4Alscspp2PhRpbb+Tr5yCtQ7+Cul4t/td+aD6GU31evtwy/Obs1OOtU7tIZWalX1x/zhhuPqO5nKM/zzTvnfGa3PzI/wtqvanU6s3XT1/6pWYMaF5zQflQXjrC26PIyOtLRe4PuGRIxX/EH67wXyWc5zTK5KhDSe9XlFPTLXhq+stLV+/0Mx+ZDJ0ymYrUTDzRxJOxDbEr7sFPI/cA654SpW8q6a/Eur+j7UFtH62HzqZTBqGNdRFmQcxuWg/vzTnaMonlmV4649uCGrknvo+18rzvQ2wvz/y2Cn0r/5KE5voDkYpeITJZ3uUz86oDPSjuwFEuSH/vG+CZespm0Qm0M489RjpHRZGS/vp5jogexoXLks4RoUdLFeWOk3IHzyRFJbQ7hb51cYSP1E6/3HeQ5/PDPLsUiF9gXahWB7lSc1IdOKR6jpmBDup/AyK0X4l1+Luuym5JD1YkzfAdFCV6bT2rPgm2cI4L8zXjdcyD6UzdTLVLMao3u4fVmditUi504r0aP6jADywpm/i2XmHcPRbVucNpBc2pksnezx0KnfckPchoNszHR3X8PKvgNfPo/14pes+SdAdk6WC2PcD9vDHSS5RutlF6OldZnbe9XyGt/mqTaJqTlWYc6DOS1XsCiRp35bOfzkFyuZqohI491+lEJndaJHZS4ufnyOM0ROjRW76vPj3lqExZSaYeXyLPPGSZedDpM9L0WQoDVhJlH46vrW0u/18fq4WjWzc3N25uPr699tld9f+AvCt+In4qbsDa92vxGYz/A3EInH4v/iT+Kv629butP279eesv1PSdKwrzY1H4t/WP/wKCyljP</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> <latexit sha1_base64="kEoZwuTMg1LS6O+t9lAHZXnSQig=">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</latexit> Shr¨ odinger problem: <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> <latexit sha1_base64="odIXyRa5RPkx2xnS4HEzPb93Vuk=">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</latexit> min P2U(a,b) KL(P|K) <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">AABFFHictVxfcxtJEZ8c/w7zLwePvOzhhEooE2xzFFRdUXWJ5Tg+K4kSyU7uoiSllVbKJiuton9xouhrUHwYCh4oCp545wNQBU98BXq6Z3ZmpdntWXNky/bs7Py6e3pnerp7ZhOOk3g62939x6UPvvb1b3zzWx9+e+s73/3e939w+aMfnk3T+aQbnXbTJJ08DjvTKIlH0eksniXR4/Ek6gzDJHoUvjqQzx8tosk0Tket2dtx9HTYGYziftztzKDq+eX9K+35MB4t242gHY+C9iw6ny3bYT84XV1rdw522uHB9dVW+6R+rd143z65vnVl6/nl7d0bu/gv2CzsqcK2UP8a6Ucf/1O0RU+koivmYigiMRIzKCeiI6ZwPRF7YleMoe6pWELdBEoxPo/ESmwBdg6tImjRgdpX8HsAd09U7QjuJc0porvAJYGfCSADcRUwKbSbQFlyC/D5HCnL2iLaS6QpZXsLf0NFawi1M/ECajmcbumLk32Zib74DfYhhj6NsUb2rquozFErUvLA6tUMKIyhTpZ78HwC5S4itZ4DxEyx71K3HXz+L2wpa+V9V7Wdi3+jlFfhCkRT9T7NKHTEAukH+Dbn8IzkSYDzAChEqo+y9AZ1PcTej6D9EurvwbXCktZJCNcSa1elyAO4XMgDFnkElwt5xCLrcLmQdRbZgMuFbCikxE5Q5258Ey4XvslyfgCXC/mART6Ey4V8yCLP4HIhz1jkl3C5kF+yyNtwuZC3WeQJXC7kCYtsweVCtljkKVwu5CmLPITLhTxUyOKZOoErRToxMytvQjnPQ1qKBGpusvLdQuvowt7ymNPdAiw/q2vw142teeg0KsAeeoy7fgGWH3lHYCPdWN4W3cHVxIW9w2KPYQS4sccs9nPxsgD7ucdMe1WA5edaHdq5sbz1vQt3buxdFnsPSm4sv0bdhxo39r7HijEuwDZY7APxugDrY/UnBVje7jfBrrix/DrVgvZurI81nRdgeXt6Bh6MG8uvVo+g1o19xGIfi/MC7GMW+wVYdzf2C48V9l0BVq+xW7iCDNAfiWDGllHrZLNSlsZArcPwT7K1JUHfOIR6DjPIMAPEDFnEUYY48kTUM0TdW65pZken6O/yXJoZoumJCLO1SZZmbPte1l6WEg9ELUPU1hBlHql817ovC/QudA2HnGUrlyz59CnN7LcsRWo8lFtejbifQ9DYfoEjfwejJRlBSU2VUXuRrfGEDPC+DPEGozfdS82Dx80yq2CjzllU6ECFLOqtA/WWRc0dqDmLWjhQCxZlZr6Na3uMAKN/+S6WeEcjgHzk4isAr+AmrDp3YI4GMH4a4AU+xJr78LeJsTd3lUkmo3m5Tsosx9OcJZ5AaSm2od5EhTWMrxOcYRFIRi3vqxhf3sncxlLNObLCq2wlD7KMiT+dGOUZZHSktxjgfKpG5wRrVujdUaka/k4273WpGv4QNb5CL55K1fAzJf3sArK3FLZ1AWwTZtNYad+Uq9Kg/AvR0OUtXHWlxZVvdajGjKR3XpH+sXozxxd4LwdYIv2YcjUaU6t/01z/qtAwep5aeq5GRXpP5PXqUlC5JyMV95pyVRlSXEVHSg5zV/XNyDY99WZ0uRqNBnhcBxhzL61y1dE7znpjytVonAnKe67Qk9flajQGeE/6MOVqNGS2paPifFOuatmlBih2NuWqVn2EWWCZA6IxTzXGK5qgnzRX1GL0D8qzNbbPv7mOyZzNsyxGKKdkfNtiOmG2lpVLpP2FCKzarKIc0r+YWz5YnsZS7LPxFckwy63vm3TMGi81XwctBjD7aQ+Ay5knIKHOSUjrnQDFPTbqyvdM4/ZZnBwl/TVUW9XOWG/R8KWsUb7uOdZycZnprdFjG+31FMfeGH3COmqW00O98A0XUeQ0VM9piKdXRXfv1HzNa3+XxY3XEONspHVxR4h20srjVJfWm5aOr6pdnhlctOdjxq/MNveVtZExT4q2SMpSxtNup/NIdp1cV3eEyXHTswDfqLRXC7QaMe5ITdkoVGeLyRtf4r2hfYp7cpIH0ejCewwUlbGgXTOZRZf59AAtqm1vOd5SXzpDR+UpWl1tj8vRAws9cKCrxzgHsGLcg1ILYoZTuGt5RDlbma5S1PhE/DzbHU3xDZZH9EnOQmoaZG+inIUsi7Jf5Ki8AbQcDRSl+9NYp6Px7Q1KfNTvksfErnnLfxV3bvX+dgfHePFoLs7E9JDrPnINcNbQri7drXMgCZbOJ/vov5b3UvKrwlHaUI7rM4sz6WWEO/4RRrBj9IwTnG3c7Mi3tvNT6080p4bQe+dyNztFCxmg/QtgfUpxTAb4Y58d0DvoZBEStJE+difOvBuXrxOzY8z4cbGgUw1mvEVoy+bIX9O1Z9cUxyJFDLQOrNbGttZJHX3BCLlOlHU3c7t89ZFIc07CHiVE0YyVa8j/Ov7WP3qcbG+MCKlh+Qamyta53keKMYvUUQdX+XIbpNvaUl7JZHimpDbrn5HpSk6yGkZcUh65WveAcxfviZccJROUe7rRhtbRsmyupDxe06PsbR+jeLL7A7UCS7l3cJXcxjnXxlEygFEwy6II3ZbLIq/zLeeVp+5He/p/oW50ndeapBgIk8ElDXH5/QijNVvKBEY1jd9XOJvcWp+stSrnM8KxOLTm8nuo/Rh+a7n1vR+dMGcVbuEYIArmzmiEaoKNFn68buV46ZGpaZl7w8+MSd3KrrlIfE3WzcTYi8pUGjhqzlXWQpcvQuOlReOlpw5buNdotKjrtSV6zsYWLbVb6cuvCrdWBcpzljLvkWlU7CGlHUv5Ue2xVPkYX6PesbR2WVodmK32boA9532Q7rm+PrvfZ6t7IG6jb9NFD4zilx7O0hh9Ll1bHqkRBcn5E2Vf7dnfxhrJPUQLKinTOU45Y2jXqYvXKpP0p2plS9HOG4ugzy29UW20jW1j+ZcbyCHOiSnOS434BFtESn5bjmDNIt2wfI4AM/8d9KnI7yiPme3W5p0EOX/CxJs0qwwvihRGqH8u83a8Eb0eW/FrgDHhXHnXIdCq/oYlBcLoTILbs5ziG5KrHO0kkEcbov3ctFO0izeyJLqBUi/Fbz1sDEW9ZqzbY0v3WPftZ9BSat28dVcLnl/izZHjd5EdvQ6uakPloy7X7i9Gq6NWufx9mR7ma3yNPubYxo4sTJSXx7TFp95cSKJqXAjjw6VaL6rIX03yKjLT7pQvZd1aU85nGsjGvMB4iTsHKhEu7+6a05u7zvQj3KAXItamRjUcJZmNS1V+wLa0MisVrEVIdj23JiXWelS0Xhge9qph7DhZygitYCK43A21tvvQzkUrfDaGKHQFnewtihNtmp/CJX8HwhUlao4+OcQm+Lk3xYE4/ApORbxWZcpsBlgjbUJvLQbvqH7mW5Tr6LVF3abvw8GfRwy65qSPcUWtKjtR5iW3qfvTf4PWYCIiVnrTsnofbC58TzY5VelPjBaO700s9Dc5VfuiOfj0JM/Fnw/tb3C96Av9bVO1PmjqfA/yHKrw0OcZ/N65aV2dl82pXF+bXHx50Dqgd140Tu4AFscspp2PhZpYb+Sr5yCtQ7+Eul4t/td+aD6GU3Vevtym+M3ZS4+3Tu0ilZmVfnH1OWO4+YzmYo7+PNOsd8ZrcvMj/y+o9KZSqzdfPX3pl5oxoHktBeVDeekIb48iI68vFbk/4JIhFf8Rf7rEf5XwOqNRJEcVSnq/opiabsFT019eunqnn/nIZOgUyZSnZuKJJp6MPRDH4jb8HGQeYNVTovRNJf2VWPd3tD2o7aP10Nl0yiC0sS7CLIjZTevhvTlHWySxPNNLZ3xbUCP3xOtYK8/73sP28sxvK9e34i9JaK7fFano5SKT9V0+M69C6EF+B45yQfp73wDP1FM2i06gDT32GOkcFUVK+uvnJSJ6GBeuS7pEhB4tZZRDJ+UQzyRFBbTDXN+6OMLHaqdf7jvI8/mdLLsUiF9gXUetDnKl5qRqOKR6gpmBEPW/CxHar8QO/N1RZbekjQ1Jp/gO8hKdW8/KT4KtnOPCfM14FfNgOlO3UO1SjOrN7mF5JrZWyIVOvJfjByX4gSVlE9/WK4y7J6I8dzgvoTlXMtn7uSOh856kBxnNdrLxUR4/L0p4LTz6f1KIPrEkPQJZQsy2B7ifN0F6idLNIUpP5yrL87Z3SqTVX20STXOy0owDfUayfE8gUeOuePbTOUguVxMV0LHnOp3I5E6LxE5K/Pwce5yG6Hj0lu+rT085KnNWkrnHl8gLD1kWHnT6jDR9lsKAlUTZh+eXt/fW/6+PzcLZ/o293Rt7D/a3P7ul/h+QD8WPxU/ENVj7fi0+g/HfEKfA6ffij+Kv4m+139X+UPtz7S/U9INLCvMjkftX+/t/ARLnUUo=</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="3XKLxqEL09pcgWaYDQyl/pa+s7o=">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</latexit> <latexit sha1_base64="Z7MEFLXRPRpRvSO3gMWPgBVMQfo=">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</latexit> Constraints : <latexit sha1_base64="an9unSN7xD1XRFITI4eRXKm8G4A=">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</latexit> C1 a [ C2 b
  26. Dual Analysis: Alternate Maximization <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">AABDKnictVzNkhPJES7Wfwv+Y+2jL23P4gAHxgNLeL2x4YhlNAPMMsCANAO7KyD00xKCHrVQS8OAVi/h5/AD+OawH8G3DV99sE8++AWcP1Vd1VJ1Z/UYT8doqqvry8zKrsrKzCpNd5KMstnm5jdn3vvWt7/z3e+9f/bc93/wwx/9+PwHPznM0vm0Fx/00iSdPu52sjgZjeOD2WiWxI8n07hz1E3iR92XDXz+6DieZqN03Jq9mcRPjjrD8Wgw6nVmUPXs/OWoPYtPZotHy2eLyfLpoh1PslGSjpcX252kcbndjRuXnk6idvyqHw+end/YvLJJP9F64aoubCj9s59+EP1HtVVfpaqn5upIxWqsZlBOVEdlcH2lrqpNNYG6J2oBdVMojeh5rJbqHGDn0CqGFh2ofQmfQ7j7SteO4R5pZoTuAZcEfqeAjNQFwKTQbgpl5BbR8zlRxtoy2guiibK9gb9dTesIamfqOdRKONMyFId9mamB+h31YQR9mlAN9q6nqcxJKyh55PRqBhQmUIflPjyfQrlHSKPniDAZ9R1126Hn/6SWWIv3Pd12rv5FUl6AK1JN3fs0p9BRx0Q/orc5h2csTwKch0Ah1n3E0mvS9RH1fgztF1B/D64llYxOunAtqHZZiWzA5UM2ROQtuHzIWyJyDy4fck9E7sPlQ+5rJGKnpHM/vgmXD98UOT+Ay4d8ICIfwuVDPhSRh3D5kIci8ku4fMgvReRNuHzImyLyDlw+5B0R2YLLh2yJyAO4fMgDEbkDlw+5o5HlM3UKV0p0RsKsvAHlIg+0FAnU3BDl2yLr6MNuBczpXglWntXb8NeP3Q7QaVyC3QkYd4MSrDzyboGN9GNlW3SbVhMf9raI3YUR4MfuitjP1YsS7OcBM+1lCVaea3vQzo+Vre9duPNj74rYe1DyY+U16j7U+LH3A1aMSQl2X8Q+UK9KsCFWf1qCle1+E+yKHyuvUy1o78eGWNN5CVa2p4fgwfix8mr1CGr92Eci9rE6KcE+FrFfgHX3Y78IWGHflmDNGnuOVpAh+SMxzNgqap18VmJpAtQ6Av8kX1sS8o27UC9hhjlmSJgjEXErR9wKROzliL1gubLcjmbk78pcmjmiGYjo5msTlmZi+37eHktJAGI7R2yvIKo8UnzXpi/H5F2YGgk5y1cuLIX0Kc3tN5ZiPR6qLa9B3C8geGw/p5F/maIljKBQU1XUnudrPCMjuq9CvKbozfTS8JBxs9wquKgTEdX1oLoi6o0H9UZEzT2ouYg69qCORZSd+S6uHTACrP7xXSzojkcA+8jlVwRewQ1YdW7DHI1g/OyDF/iQau7D3ybF3tJVJRlG87hOYpbjScEST6G0UBtQb6PCbYqvE5phMUjGLe/rGB/vMLex0HOOrfAyX8mjPGMSTmdE8gxzOugtRjSf6tG5QzVL8u64VA9/O5/3plQPv0MaX5IXz6V6+JmWfnYK2Vsa2zoFtgmzaaK1b8t1aXD+hWmY8jladdHi4ls90mMG6Z3UpL+r38zuKd5Lg0qsH1uuRyNz+pcV+leHhtVz5ui5HhX0ntjrNaWodk/GOu615boypLSKjrUc9q7um8E2ff1mTLkejX3wuBoUcy+cct3RO8l7Y8v1aBwqznsuyZM35Xo0hnTP+rDlejQw29LRcb4t17XsqAGOnW25rlUfUxYYc0A85rnGekVT8pPmmtqI/IPqbI3r86+vY5izeZrHCNWUrG9bTqebr2XVEhl/IQarNqspB/oXc8cHK9JYqGtifMUyzArr+zodu8aj5vdAixHMft4DkHLmCUhochJovROgeFWMuoo9M7hrIg5HyWAF1da1M9FbtHw5a1Sse0a1Ulxme2v12CZ7ndHYm5BPuEealfSwV/qGyyhKGtoraEimV0d3b/V8LWp/U8RNVhCTfKT1aEeId9Kq41Sf1puOji/oXZ4ZXLznY8cvZpsH2tpgzJOSLUJZqni67Uweya3DdfWysjlufhbRG0V7dUxWY0Q7UpkYhZpsMXvjC7q3tA9oTw55MI0evMdIU5ko3jXDLDrm0yOyqK69lXijvkyGjssZWV1jj6vRQwc99KDrxzgNWDHuQakFMcMB3LUCopxzua5S0vhU/TrfHU3pDVZH9EnBQhoabG/igoWsirKfF6i8BjSOBo7Sw2ms0jH49holOer3yWNj16Llv0A7t2Z/u0NjvHw0l2di+sT1GnGNaNbwri7frXJgCRbeJ9fIf63uJfKrwxFtqMT1qcOZ9TKmHf+YItgJecYJzTZpdhRbu/mp1SeG074ye+e4m52ShYzI/kWwPqU0JiP6dc8OmB10tggJ2cgQuzPKvRufrzMSx5j140aKTzXY8RaTLZsTf0PXnV0ZjUWOGHgdWK6MbaOTPfIFY+I61dbdzu3q1QeR9pyEO0qYoh0rF4n/Jfo0v2acbKyNCNQwvoFM2zrf+0gpZkEddWiVr7ZBpq0r5Ye5DE+11Hb9szJ9WJBsmyIulAdX6z5w7tE988JRMiW5s7U2vI5WZXOR8mRFj9jbAUXxbPeHegVGuS/TKrlBc65No2QIo2CWRxGmrZRFXuVbzatIPYx29n+hbnVd1BpSjJTN4LKGpPx+TNGaK2UCo5rH70uaTX6tT1daVfMZ01g8cuby11D7c/g0cpv7MDrdglXYojHAFOyd1QjXRGstwnhtFXiZkWlo2XvLz45J08qtOU18zdbNxtjHtans06g50VkLUz4NjRcOjReBOmzRXqPVoqk3luiZGFu09G5lKL863Fo1KM9FyrJHZlCjACndWCqMal+kKsf4BvVWpLUp0urAbHV3A9w5H4L0z/XV2f11vrpH6ib5Nj3ywDh+6dMsHZHPZWqrIzWmgJyva/vqzv421SD3LllQpMznOHHG8K5Tj65lLukv9cqWkp23FsGcW3qt2xgb26byR2vII5oTGc1Lg7hOLWItvytHtGKRrjg+R0SZ/w75VOx3VMfMbmv7TqKCP2HjTZ5VlhdHCmPSv5R5212LXned+DWimHCuvesu0Kr/hpECY0wmwe9ZZvSGcJXjnQT2aLtkP9ftFO/ijR2JrpDUC/X7ABvDUa8d6+7YMj02ffsVtESt27fuayHzS4I5SvxOs6PXoVXtSPuoi5X709Hq6FWueF+lh/kKX6uPObVxIwsb5RUxbfVpMBeWqB4XxoRwqdeLOvLXk7yOzLw7FUrZtDaUi5kGtjHPKV6SzoEiwufdXfR6c5eEfnTX6HUJ61LjGokSZuNSnR9wLS1mpc6urUNce7ZyNUqclahspTDU3dXC2m+2kDFZv0RJORtu7creLkQpchaGKfQUn+gtiw9dmp/ChZ+R8kWHhmNI7rAJ/u0N1VA77+A0xCtd5oxmRDVoC/orsXdH97PYolpHrxzqLv0QDuE8RqBrSfoRraR1ZWfKsuQu9XD6r8kKTFUsSm9b1u+Dy0XuyTqnOv0ZkWWTezNS5rs4dftiOIT0pMglnA/va0i9GCjznaZ6fTDU5R4UOdThYc4xhL1z27o+L5dTtb7WuYTy4FXA7LgYHO78lccqtl2IhZo6b+Tdc0DrMKigblaL/7Ufho/lVJ9XKLeMvmv2IuCtc7tYZ2TRH64/Zyy3kNFczjGcZ5r3znpLfn7s90W13lTq9Obd00d/1I4Bw2uhOA8qS8d4dxRZeUOp4L6AT4ZU/Vv9+Yz8bYRXOY0yOepQMvsU5dRMC5ma+calr3fmWYhMlk6ZTEVqNo5o0onYhtpVN+G3kXuAdU+H8ncp+S9i/d+f7UPtgKyHyaJz5qBNdTFlP+wuWp/u7fnZMonxLC+f7W1BDe6F71EtnvO9R+3xrG+r0Lfyb5DwXL+rUtUvRCSru3t2XnWhB8WdN84Bme/5RnSWnrNYfPLsKGBv0ZyfWpVoQU/kkwXdUnzXkbJHY3Wi9+px5wBP2Hfy/FCkfkN1HW3ncc2VOO+Xct5f4ZyRdoocTpxn1Wezyrg0HC79PHd2rNulFGfb/bzq3Oh2KRc+g16NH1bgh46UTdL+S4qEp6o6mzevoDnXMrk7rGNlMpGsB4wzO/n7ro5sjyt4HQf0/04p+o4j6S2QpUv574h22KZEL9G62SHp+aRjdSb1doW05nuUTNOedbTjwJxarM7SJ3rccebC/DeCBc0HXE3NyUQpexKX0OnSicCYKPEZyWpKA0GegUhhKEqiRyr9Z4hP6CfiwsfXdeGTq/l/hji8duXqb6989OD6xmdb+n9EvK9+pn6hLoJ9/Fh9Bm9iXx0Apz+oP6m/qL9u/XHrb1vfbP2dm753RmN+qgo/W//4Lw6M890=</latexit> W" p (↵, )p

    def. = <latexit sha1_base64="1fc+j8d8XBqoBLottFct+NtS058=">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</latexit> sup (f,g)2C(X)2 Z fd↵ + Z gd + " Z X2 (1 e dp+f g " )d↵ ⌦ d <latexit sha1_base64="N11AZj/1eRJbZ8n2E7wb14j0ywU=">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</latexit> d⇡?(x, y) = ef?(x)+g?(y) c(x,y) " d↵(x)d (y) <latexit sha1_base64="hNd+ZC9sUQyWceN1v9k6hdboSOA=">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</latexit> Primal-dual relations: <latexit sha1_base64="b5HPF1lmAzsVMyGqVH/qAOvhbiI=">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</latexit> Dual problem:
  27. Dual Analysis: Alternate Maximization Soft c-transforms: <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit>

    <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">AABB1nictVzbchu5EYU3t7Vz8yZ5y8skslO7W15HUrYqqWylamVJlrWmbdmkZO+ubBcvI5r2kEPPkPKFq7yl8ppPyGvyE/mO/EHylF9IX4ABhsRMYxTHKEkYEKe70QM0uhuge9NklM/W1/954b1vffs73/3e+xcvff8HP/zRjy9/8JOjPJ1n/fiwnyZp9qjXzeNkNIkPZ6NZEj+aZnF33Evih70X2/j5w9M4y0fppDN7M40fj7vDyehk1O/OoOnp5Z+105NZdKV/5ZNZ1p3kJ2k2zn//9PLa+vV1+hetVjZ0ZU3pfwfpB9GhOlYDlaq+mquxitVEzaCeqK7KoXytNtS6mkLbY7WAtgxqI/o8VmfqEmDn0CuGHl1ofQG/h/D0tW6dwDPSzAndBy4J/GSAjNRVwKTQL4M6covo8zlRxtYq2guiibK9gb89TWsMrTP1DFolnOkZisOxzNSJ+h2NYQRjmlILjq6vqcxJKyh55IxqBhSm0Ib1AXyeQb1PSKPniDA5jR1126XP/0U9sRWf+7rvXP2bpLwKJVJtPfq0oNBVp0Q/orc5h89YngQ4D4FCrMeItVek6zGNfgL9F9B+F8oZ1YxOelAW1HpWi9yG4kNui8g9KD7knohsQfEhWyLyAIoPeaCRiM1I5358G4oP3xY534fiQ94XkQ+g+JAPROQRFB/ySER+BcWH/EpE3oTiQ94Ukbeh+JC3RWQHig/ZEZGHUHzIQxG5C8WH3NXI6pWaQUmJzkhYlVtQL/NAS5FAy5Yo3w2yjj7sjYA13a/Ayqt6B/76sTsBOo0rsLsB8+6kAivPvD2wkX6sbItu0W7iw94SsfswA/zYfRH7hXpegf0iYKW9qMDKa60F/fxY2fregSc/9o6IvQs1P1beo+5Bix97L2DHmFZgD0TsffWyAhti9bMKrGz322BX/Fh5n+pAfz82xJrOK7CyPT0CD8aPlXerh9Dqxz4UsY/U6wrsIxH7JVh3P/bLgB32bQXW7LGXaAcZkj8Sw4qto9YtViXWpkCtK/BPir0lId+4B+0SZlhghoQZi4i9ArEXiGgViFawXHlhR3Pyd2Uu7QLRDkT0ir0JazOx/6Doj7UkALFTIHaWEHUeKb5rM5ZT8i5Mi4ScFTsX1kLGlBb2G2uxng/1ltcg7pUQPLef0cy/RtESRlCoqTpqz4o9npERPdchXlH0ZkZpeMi4WWEVXNRrEdXzoHoi6o0H9UZEzT2ouYg69aBORZRd+S7uOGAGWP3ju1jQE88A9pGrSwRewRbsOrdgjUYwfw7AC3xALffgb5tib6nUSYbRPO6TmOV4XLLEGdQWag3abVS4Q/F1QissBsm45z0d4+MT5jYWes2xFT4rdvKoyJiE0xmRPMOCDnqLEa2nZnRuU8sZeXdca4a/Vax7U2uG3yWNn5EXz7Vm+JmWfnYO2Tsa2zkHtg2raaq1b+tNaXD+hWmY+iXaddHi4lsd6zmD9F43pL+v38z+Od7LNtVYP7bejEbujC8vja8JDavn3NFzMyroPbHXa2pR45FMdNxr601lSGkXnWg57FPTN4N9BvrNmHozGgfgcW1TzL1w6k1n77QYja03o3GkOO95Rp68qTejMaRn1oetN6OB2ZaujvNtvallRw1w7GzrTa36hLLAmAPiOc8t1ivKyE+aa2oj8g/qszWuz7+6j2HO5kkRI9RTsr5tNZ1esZfVS2T8hRis2qyhHOhfzB0frExjoTbF+IplmJX291U6do9HzbdAixGsfj4DkHLmCUhochJovROguCFGXeWRGdymiMNZcrKEOtatM9FbtHw5a1Rue0qtUlxmR2v1eEz2Oqe5NyWfsEWalfTQqnzDVRQlDbVKGpLpNdHdW71ey9pfF3HTJcS0mGl9OhHik7T6ONWn9baj46v6lGcGhc987PzFbPOJtjYY86Rki1CWOp5uP5NHcttwX72mbI6bP4vojaK9OiWrMaITqVyMQk22mL3xBT1b2od0Joc8mEYf3mOkqUwVn5phFh3z6RFZVNfeSrxRXyZDx/WcrK6xx/XooYMeetDNY5xt2DHuQq0DMcMhPHUCopxLha5S0nimPilOR1N6g/URfVKykIYG25u4ZCHrouxnJSqvAI2zgaP0cBrLdAz+eIWSHPX75LGxa9nyX6WTW3O+3aU5Xj2bqzMxA+K6SVwjWjV8qstPyxxYgoX3k03yX+tHifyacEQbKnF94nBmvUzoxD+mCHZKnnFCq01aHeXebn5q+RPD6UCZs3M8zU7JQkZk/yLYn1KakxH9uHcHzAk6W4SEbGSI3RkV3o3P1xmJc8z6cSPFtxrsfIvJls2Jv6Hrrq6c5iJHDLwPnC3NbaOTFvmCMXHNtHW3a7t+90GkvSfhzhKmaOfKh8T/I/ptfsw8WVuZEahhfAO5tnW+95FSzII66tIuX2+DTF9XyiuFDE+01Hb/szJdKUm2QxEXyoO79QA49+mZeeEsyUjufKUP76N12VykPF3SI472hKJ4tvtDvQOj3Ndol1yjNXdMs2QIs2BWRBGmr5RFXuZbz6tMPYx2/n+hbnVd1hpSjJTN4LKGpPx+TNGaK2UCs5rn7wtaTX6tZ0u96vlMaC6OnbX8DbT+An4buc1zGJ1eySrcoDnAFOyT1Qi3RCs9wnjdKPEyM9PQss+Wn52Tppfbcp74mq2bjbFPG1M5oFnzWmctTP08NJ47NJ4H6rBDZ41Wi6bdWKKnYmzR0aeVofyacOs0oDwXKcsemUGNAqR0Y6kwqgORqhzjG9Rbkda6SKsLq9U9DXDXfAjSv9aXV/c3xe4eqZvk2/TJA+P4ZUCrdEQ+l2mtj9SYAnL+VNtXd/UfUwty75EFRcp8jxNXDJ869amcFZL+Su9sKdl5axHMvaVXuo+xscdU/80KckxrIqd1aRCfUo9Yy+/KES1ZpOuOzxFR5r9LPhX7HfUxs9vbvpOo5E/YeJNXleXFkcKE9C9l3vZXotd9J36NKCaca++6B7Sav2GkwBiTSfB7ljm9Idzl+CSBPdoe2c9VO8WneBNHousk9UL9IcDGcNRr57o7t8yIzdg+hp6odfvWfT1kfkkwR4nfeU70urSrjbWPulh6Ph+trt7lys91epgv8bX6mFMfN7KwUV4Zc6w+C+bCEjXjwpgQLs1G0UT+ZpI3kZlPp0Ipm96GcjnTwDbmGcVL0j1QRPi8uw+93txHwjh6K/R6hHWpcYtECbNxqc4PuJYWs1IXV/Yhbr1Yuxslzk5UtVMY6u5uYe03W8iYrF+ipJwN93ZlPy5FKXIWhin0Fd/orYoPXZqfQcHfkfJFh4ZjSO6wDf7tltpWu+/gNsRLXeeMZkQtaAsGS7F3V4+z3KNeRy8d6i79EA7hPEaga0n6Ee2kTWVnyrLkLvVw+q/ICmQqFqW3PZuPweUij2SVU5PxjMiyyaMZKfNdnKZjMRxCRlLmEs6HzzWkUZwo852mZmMw1OURlDk04WHuMYS9c9u7OS+XU72+VrmE8uBdwJy4GBye/FXHKrZfiIXKnDfy7jmgdTipoW52i/91HIaP5dScVyi3nL5r9jzgrXO/WGdk0R9uvmYst5DZXM0xnGdajM56S35+7PdFjd5U6ozm3dNHf9TOAcNroTgPKkvHeHcWWXlDqeC5gE+GVP1H/eOC/G2ElwWNKjmaUDLnFNXUTA+ZmvnGpW905rMQmSydKpnK1Gwc0aYbsdtqX92En+3CA2x6O5S/S8l/Eev//uwAWk/IepgsOmcOjqktpuyHPUUb0LO9P1slMd7l5bu9HWjBs/AWteI937vUH+/6dkpjq/4GCa/1OypVg1JEsny6Z9dVD0ZQPnnjHJD5nm9Ed+k5i8U3z8YBZ4vm/tSyRAv6RL5Z0KvE9xwp+zRXp/qsHk8O8IZ9t8gPRerX1NbVdh73XInzQSXngyXOOWmnzOG181n93awqLtsOl0GROzvV/VKKs+15Xn1udKeSC99Br8cPa/BDR8o2af8FRcKZqs/mzWtozrVM7gnrRJlMJOsB48xu8b7rI9vTGl6nAeO/XYm+7Ui6B7L0KP8d0QlbRvQSrZtdkp5vOtZnUm/VSKu/R/n08trG8v9lsFo52ry+sX594/7m2uc39P9z8L76ufql+hDW+G/V50DtQB0Ch7fqr+pv6u9bj7b+uPWnrT9z1/cuaMxPVenf1l/+Cyo5qC4=</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> fc,"(y) def. = min ↵ "(dp(·, y) f) <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> gc,"(x) def. = min"(dp(x, ·) g) <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">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</latexit> W" p (↵, )p def. = <latexit sha1_base64="1fc+j8d8XBqoBLottFct+NtS058=">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</latexit> sup (f,g)2C(X)2 Z fd↵ + Z gd + " Z X2 (1 e dp+f g " )d↵ ⌦ d <latexit sha1_base64="N11AZj/1eRJbZ8n2E7wb14j0ywU=">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</latexit> d⇡?(x, y) = ef?(x)+g?(y) c(x,y) " d↵(x)d (y) <latexit sha1_base64="hNd+ZC9sUQyWceN1v9k6hdboSOA=">AABE+HictVxfc9u4EUeu/67pv1w705e+8OpLJ9fJpY4v7fV605lLLMfxxZcokezkLk4ypEQrTChRISXlj+Lv0ulLp9M+9Qv0c/QDdKZ96lfoYhcgQAnkgm5qji0Qwm93sQQWuwvQ0TRNitnm5j/OvPONb37r299597tnv/f9H/zwR+fe+/Fhkc3zQXwwyNIsvx+FRZwmk/hglszS+P40j8NxlMb3omfb8vt7izgvkmzSn72axg/H4WiSHCeDcAZVj8/9tJsn4zD9aDgP0yCPU6wufvf43MbmpU38CdYLl1VhQ6ifbvbe+/8UR2IoMjEQczEWsZiIGZRTEYoCrgfistgUU6h7KJZQl0Mpwe9jcSLOAnYOrWJoEULtM/g7grsHqnYC95JmgegBcEnhNwdkIM4DJoN2OZQltwC/nyNlWVtHe4k0pWyv4DNStMZQOxNPoJbD6Za+ONmXmTgWv8U+JNCnKdbI3g0UlTlqRUoeWL2aAYUp1MnyEL7PoTxApNZzgJgC+y51G+L3/8KWslbeD1Tbufg3SnkerkD0VO+zkkIoFkg/wKc5h+9InhQ4j4BCrPooSy9Q12Ps/QTaL6H+FlwnWNI6ieBaYu1JI3IbLhdym0XuwuVC7rLIfbhcyH0W2YXLhewqpMTmqHM3vgeXC99jOd+By4W8wyLvwuVC3mWRh3C5kIcs8mu4XMivWeR1uFzI6yzyJlwu5E0W2YfLheyzyAO4XMgDFrkDlwu5o5D1MzWHK0M6CTMrr0K5ykNaihRqrrLyXUPr6MJe85jTgxosP6s78OnGdjx0GtdgdzzG3XENlh95u2Aj3VjeFt3A1cSFvcFi92AEuLF7LPYL8bQG+4XHTHtWg+Xn2j60c2N56/sl3LmxX7LYW1ByY/k16jbUuLG3PVaMaQ22y2LviOc1WB+rn9dgebvfA7vixvLrVB/au7E+1nReg+Xt6SF4MG4sv1rdg1o39h6LvS9e1mDvs9ivwLq7sV95rLCva7B6jT2LK8gI/ZEYZmwTtbCclbI0BWohwz8t15YUfeMI6jnMqMSMEDNmEbslYtcTsV8i9r3lKko7WqC/y3PplYieJyIq1yZZmrHth2V7WUo9EJ0S0VlBNHmk8lnrvizQu9A1HHJWrlyy5NOnrLTfshSr8dBseTXidgVBY/sJjvyLGC3JCEpqqonak3KNJ2SA902IFxi96V5qHjxuVloFG/WSRUUOVMSiXjlQr1jU3IGas6iFA7VgUWbm27gjjxFg9C+fxRLvaASQj1x/BeAVXIVV5wbM0QDGTxe8wLtYcxs+exh7c1eTZDKal+ukzHI8rFjiHEpLsQH1JirsYHyd4gyLQTJqeVvF+PJO5jaWas6RFT4pV/KgzJj400lQnlFJR3qLAc6ndnRuYs0JendUaoe/Uc57XWqH30GNn6AXT6V2+JmSfnYK2fsK2z8Ftgezaaq0b8ptaVD+hWjo8llcdaXFlU91rMaMpPeyJf099WT2TvFctrFE+jHldjQKq39FpX9taBg9F5ae21GR3hN5vboUtO7JRMW9ptxWhgxX0YmSw9y1fTKyzVA9GV1uR6MLHtc2xtxLq9x29E7L3phyOxqHgvKeJ+jJ63I7GiO8J32YcjsaMtsSqjjflNtadqkBip1Nua1Vn2AWWOaAaMxTjfGKcvST5opagv5Bc7bG9vnX1zGZs3lUxgjNlIxvW08nKteyZom0vxCDVZu1lEP6F3PLB6vSWIotNr4iGWaV9X2djlnjpeb3QYsBzH7aA+By5ilIqHMS0nqnQPEyG3VVe6ZxWyxOjpLjFdSRqp2x3qLhS1mjat1jrOXiMtNbo8cjtNcFjr0p+oT7qFlOD/u1T7iOIqeh/YqGeHptdPdazdeq9jdZ3HQFMS1H2gB3hGgnrTlOdWm9Z+n4vNrlmcFFez5m/Mps87GyNjLmydAWSVmaeNrtdB7JrpPr6kVhctz0XYBPVNqrBVqNBHekCjYK1dli8saXeG9oH+CenORBNAbwHANFZSpo10xm0WU+PUCLattbjrfUl87QUblAq6vtcTN6ZKFHDnT7GGcbVoxbUOpDzHAAd32PKOdsqasMNZ6Lj8rd0QyfYHNEn1YspKZB9iauWMimKPtJhcoLQMvRQFG6P41VOhp/tEaJj/pd8pjYtWr5z+POrd7fDnGM14/m+kzMELluIdcAZw3t6tLdKgeSYOn8Zgv91+ZeSn5tOEobynF9ZHEmvUxwxz/GCHaKnnGKs42bHdXWdn5q9RvNqSv03rnczc7QQgZo/wJYnzIckwH+2mcH9A46WYQUbaSP3UlK78bl6yTsGDN+XCLoVIMZbzHasjny13Tt2VXgWKSIgdaBk5WxrXWyj75gjFxzZd3N3G5efSTSnJOwRwlRNGPlAvL/EP/qXz1ONtZGhNSwfAKFsnWu55FhzCJ1FOIq32yDdFtbyg9KGR4pqc36Z2T6oCJZByMuKY9crYfAeYD3xEuOkhzlLtba0DralM2VlKcrepS9PcYonuz+SK3AUu6LuEpu4Jw7wlEyglEwK6MI3ZbLIq/ybeZVpe5Hu/i/UDe6rmpNUgyEyeCShrj8fozRmi1lCqOaxu8znE1urecrrZr5THAsjq25/AZq34e/Wm5970cnqliFazgGiIK5MxqhmmCthR+vaxVeemRqWube8DNjUreya04TX5N1MzH2ojWVLo6alyprocunofHUovHUU4d93Gs0WtT12hI9ZmOLvtqt9OXXhlu/BeU5S5n3yDQq8ZDSjqX8qA5ZqnyMr1GvWVqbLK0QZqu9G2DPeR+ke66vzu435eoeiOvo2wzQA6P4ZYizNEGfS9c2R2pEQXK+ouyrPfuPsEZyj9CCSsp0jlPOGNp1GuB1Ukr6C7WyZWjnjUXQ55ZeqDbaxh5h+eM15BjnRIHzUiOuYItYyW/LEaxYpEuWzxFg5j9En4r8juaY2W5tnklQ8SdMvEmzyvCiSGGC+ucyb3tr0eueFb8GGBPOlXcdAa32T1hSIIzOJLg9ywKfkFzlaCeBPNoI7ee6naJdvIkl0SWUeil+72FjKOo1Y90eW7rHum+/hJZS6+apu1rw/FJvjhy/0+zohbiqjZWPuly5Px2tUK1y1fsmPcxX+Bp9zLGNHVmYKK+KORKfeXMhidpxIYwPl3a9aCN/O8nbyEy7U76UdWtNuZppIBvzBOMl7hyoRLi8uwtOb+5Dph/RGr0IsTY1quEoyWxcpvIDtqWVWalgJUKy67k1KbXWo7r1wvCwVw1jx8lSxmgFU8Hlbqi13YejSrTCZ2OIwkDQyd66ONGm+Rlc8m8gXFGi5uiTQ+yBn3tVbIudt3Aq4rkqU2YzwBppE4YrMXio+llt0ayj5xZ1m74PB38eCeiakz7BFbWt7ESZl9ym7k//BVqDXMSs9KZl+z7YXPierHNq058ELRzfm0Tod3La9kVz8OlJlYs/H9rf4HpxLPS7Te36oKnzPahyaMNDn2fwe+amdXteNqdmfa1z8eVB64DeedE4uQNYH7OYdj4WKreeyNvnIK3DcQN1vVr8r/3QfAyn9rx8uRX4ztlTj6dO7WKVmZV+cfs5Y7j5jOZ6jv48s7J3xmty8yP/L2j1pDKrN2+fvvRLzRjQvJaC8qG8dIS3R5GR15eK3B9wyZCJ/4i/n+HfSnhe0qiTow0lvV9RT0234KnpNy9dvdPf+chk6NTJVKVm4okenozdFnviOvxulx5g21Oi9E4lfUqs+z3aIdQeo/XQ2XTKIBxhXYxZELObNsR7c462TmJ5ppfO+PahRu6J72OtPO97C9vLM7/9St/q3yShuf6lyMSwEpms7vKZeRVBD6o7cJQL0u/7BnimnrJZdAJt7LHHSOeoKFLSbz8vETHEuHBV0iUi9Ghpohw5KUd4JimuoR1V+jbAET5VO/1y30Gezw/L7FIgfoV1oVod5ErNSdV1SPUAMwMR6n8TIrRfi4vweVGV3ZJ21yQt8BlUJXppfdd8EuzEOS7M24znMQ+mM3UL1S7DqN7sHjZnYju1XOjEezN+1IAfWVL28Gk9w7g7F825w3kDzbmSyd7PnQid9yQ9yGg2LMdHc/y8aOC18Oj/zVr0TUvSXZAlwmx7gPt5OdJLlW52UHo6V9mct73RIK1+a5NompOVZhzoM5LNewKpGnf1s5/OQXK5mriGjj3X6UQmd1okcVLi5+fU4zRE6NFbvq8+PeWozFlJ5h5vIi88ZFl40DlmpDlmKYxYSZR9wP/+8Sn+BFT45IoqfHq5/O8fh1uXLv/m0sd3tjY+v6b+D8i74mfi5+ICrH2fiM9h/HfFAXB6I/4o/iL+2nnd+UPnT50/U9N3zijMT0Tlp/O3/wKSYUlY</latexit> Primal-dual relations: <latexit sha1_base64="b5HPF1lmAzsVMyGqVH/qAOvhbiI=">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</latexit> Dual problem: Soft min: <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> min ↵ "(h) def. = " log Z X e h/"d↵ <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="wV/4AS/OBY2C8Cq5XnMy4SxHeLU=">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</latexit> "!0 ! min supp(↵) h
  28. Dual Analysis: Alternate Maximization Soft c-transforms: <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit>

    <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> <latexit sha1_base64="cD9dmUfKgXMVVaJgUM0ZdgSOef8=">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</latexit> fc,"(y) def. = min ↵ "(dp(·, y) f) <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> <latexit sha1_base64="yeTnfD7TXluhk56GvfKB1Ji12Hk=">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</latexit> gc,"(x) def. = min"(dp(x, ·) g) <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">AABDU3ictVxfcxu3EYfdtI3dpnHSx75cq7hjdxxXcjzTzmQ6E4uSZcWyTZuU7CS0NDzySJ995NE8UpbN8JP1oZ+iD33sW/889KGPfenuAjjgSNwtTnV9IwkH4re7WACL3QXocJLE2Wxz8y8XLv7ggx/+6McfXrr8k59+9LOPr3zy6VGWzqe96LCXJun0WdjNoiQeR4ezeJZEzybTqDsKk+hp+KqBnz89jaZZnI7bs7eT6PmoOxzHg7jXnUHVyZXDzrBxvOjd6ESTLE7S8fLa2fWgE73uR4Ng0RnF45PFokNsFmEyj5adMFoul8cL0z7oH0+und3o9Prp7HrweQAEr59c2di8uUn/gvXClipsCPWvmX4S/Ft0RF+koifmYiQiMRYzKCeiKzJ4vhNbYlNMoO65WEDdFEoxfR6JpbgM2Dm0iqBFF2pfwe8hvH2nasfwjjQzQveASwI/U0AG4ipgUmg3hTJyC+jzOVHG2jLaC6KJsr2Fv6GiNYLamXgBtRxOt/TFYV9mYiB+T32IoU8TqsHe9RSVOWkFJQ+sXs2AwgTqsNyHz6dQ7hFS6zkgTEZ9R9126fO/UUusxfeeajsXfycpr8ITiJbqfZpT6IpToh/QaM7hMylPApyHQCFSfcTSG9L1iHo/hvYLqH8Iz5JKWichPAuqXVYiG/C4kA0WuQePC7nHIg/gcSEPWGQTHheyqZCInZLO3fgWPC58i+X8GB4X8jGLfAKPC/mERR7B40Ieschv4XEhv2WRd+FxIe+yyPvwuJD3WWQbHheyzSIP4XEhD1nkLjwu5K5Clq/UKTwp0YmZVXkHykUeaCkSqLnDyrdN1tGF3fZY070SLL+qd+CvG7vjodOoBLvrMe8GJVh+5u2BjXRjeVt0j3YTF/Yei92HGeDG7rPYr8XLEuzXHivtVQmWX2sH0M6N5a3vA3hzYx+w2IdQcmP5PeoR1Lixjzx2jEkJtsliH4vXJVgfqz8twfJ2vwV2xY3l96k2tHdjfazpvATL29Mj8GDcWH63egq1buxTFvtMnJVgn7HYb8C6u7HfeOyw70qweo+9TDvIkPyRCFZsFbVuviqxNAFqXYZ/ku8tCfnGIdRzmGGOGRJmxCL2csSeJ+IgRxx4y5XldjQjf5fn0soRLU9EmO9NWJqx7ft5eywlHoidHLGzgqjySHGsdV9OybvQNRxylu9cWPLpU5rbbyxFaj5UW16NeFRAyLn9gmb+DYqWMIJCTVVRe5Hv8RIZ0HsV4g1Fb7qXmgePm+VWwUadsajQgQpZ1FsH6i2LmjtQcxZ16kCdsiiz8m1cx2MGGP3jWCzoTc4A6SOXPwF4BXdg17kHazSA+dMEL/AJ1TyCvy2KvbmnSjKM5nGfxCzH84IlnkJpITag3kSFOxRfJ7TCIpBMtnykYnx8w9zGQq05aYWX+U4e5BkTfzoxyTPM6aC3GNB6qkfnPtUsybuTpXr4e/m616V6+F3S+JK8eFmqh58p6WfnkL2tsO1zYFuwmiZK+6Zcl4bMv0gaunyZdl20uDiqIzVnkN5ZTfr7amT2zzEuDSpJ/ZhyPRqZ1b+s0L86NIyeM0vP9aig9yS9Xl0KavdkrOJeU64rQ0q76FjJYd7qjgy26auR0eV6NJrgcTUo5l5Y5bqzd5L3xpTr0TgSMu+5JE9el+vRGNK71Icp16OB2ZauivNNua5lRw3I2NmU61r1MWWBMQck57ysMV7RlPykuaIWk39Qna2xff71fQxzNsd5jFBNyfi25XTCfC+rlkj7CxFYtVlNOdC/mFs+WJHGQtxi4yspw6ywv6/TMXs8av4AtBjA6pdnAFzOPAEJdU4CrXcCFLfYqKvYM427xeJwlgxWUB1VO2O9RcNXZo2KdSdUy8VlprdGjx2y1xnNvQn5hAekWU4PB6UjXEaR09BBQUM8vTq6e6fWa1H7myxusoKY5DOtRydC8iStOk51ab1l6fiqOuWZwSPPfMz8xWzzQFkbjHlSskUoSxVPu53OI9l1uK/eECbHLT8LaETRXp2S1YjpRCpjo1CdLZbe+ILeDe1DOpNDHpJGD8YxUFQmQp6aYRYd8+kBWVTb3nK8UV86QyfLGVldbY+r0UMLPXSg68c4DdgxHkKpDTHDIby1PaKcy7muUtL4VHyen46mNILVEX1SsJCahrQ3UcFCVkXZLwpU3gAaZ4OM0v1prNLR+M4aJT7qd8ljYtei5b9KJ7f6fLtLc7x8NpdnYvrE9RZxDWjVyFNd+bbKQUqwcH5yi/zX6l4ivzoc0YZyXI8tzlIvYzrxjyiCnZBnnNBq41ZHsbWdn1r9RHNqCn12jqfZKVnIgOxfAPtTSnMyoB/77oA+QZcWISEb6WN34ty7cfk6MTvHjB8XC3mrwcy3iGzZnPhruvbqymguyohB7gPLlbmtdXJAvmBEXKfKupu1Xb37INLck7BniaRo5so14n+dfusfPU821mYEahhHIFO2zjUeKcUsqKMu7fLVNki3taX8LJfhWElt9j8j02cFyXYo4kJ5cLfuA+cevUteOEumJHe21kbuo1XZXKQ8WdEj9nZAUby0+0O1A6PcN2iX3KA116FZMoRZMMujCN2WyyKv8q3mVaTuRzv7v1A3ui5qDSkGwmRwpYa4/H5E0ZotZQKzWs7fV7Sa3FqfrrSq5jOmuTiy1vL3UPtL+K3l1u9+dMKCVdimOSApmDejEVkTrLXw47Vd4KVnpqZl3g0/Myd1K7vmPPG1tG4mxj6tTaVJs+ZMZS10+Tw0Xlo0XnrqsE1njUaLul5bohM2tmir00pffnW4tWtQnrOUeY9Mo2IPKe1Yyo9qn6XKx/ga9Y6ltcnS6sJqtU8D7DXvg3Sv9dXV/X2+uwfiLvk2PfLAZPzSp1Uak8+la6sjNUkBOd9W9tVe/R2qQe4hWVCkLO9x4oqRp049epa5pL9WO1tKdt5YBH1v6Y1qo21sh8pfrCFHtCYyWpcacZtaREp+W45gxSLdtHyOgDL/XfKppN9RHTPbrc2YBAV/wsSbclUZXjJSGJP+uczb/lr0um/FrwHFhHPlXYdAq/4IIwWJ0ZkEt2eZ0QjhLidPEqRHG5L9XLdT8hRvbEl0k6ReiD942BgZ9Zq5bs8t3WPdt99AS9S6GXVXC55f4s2R43eeE70u7Woj5aMuVt7PR6urdrnie5Ue5it8jT7m1MaOLEyUV8R0xJfeXKRE9bhIjA+Xer2oI389yevILE+nfCnr1ppyMdMgbcwLipe4e6CIcHl315ze3HWmH+EavZCwNjVZw1HCbFyq8gO2pcWs1KW1fUjWXqrcjRJrJyrbKTR1e7cw9ltayIisXyK4nI1sbcveKUQpfBZGUugJeaO3LD60aX4JD/4OhCs61Bx9coct8G/viIbYfQ+3IV6rssxoBlSDtqC/Ent3VT+LLap19NqibtP34eDPIwZdc9LHtJPWlV1S5iW3qfvTf0NWYCoiVnrTsn4fbC58T9Y51elPTJaN700s9Hdx6vZFc/DpSZGLPx95rsH1YiD0d5rq9UFT53tQ5FCHh77H4DfmpnV9Xjanan2tc/HlIXcBfeKicXjyVx6rmHY+Fmpqjcj754DWYVBBXe8W/2s/NB/DqT4vX24Zfdfspceoy3aRysiiP1x/zRhuPrO5nKM/zzTvnfGW3Pyk3xfUGqnU6s37p4/+qJkDmtdCyDwoL53E27PIyOtLBc8FXDKk4l/iTxf4byO8zmmUyVGHkj6nKKemW/DU9DcuXb3Tn/nIZOiUyVSkZuKIFt2IbYh9cRd+GrkHWPd2qPwupfyLWPf3Z/tQOyDrobPoMnPQobqIsh/mFK1P7+b+bJnEeJdX3u1tQw2ehR9QLd7zfUjt8a5vu9C38m+QyLX+QKSiX4hIVk/3zLoKoQfFkzeZA9Lf8w3oLr3MYsmbZyOPs0V9f2pVogV9wt8sCEvxoSVlj+bqRJ3V48kB3rDv5vmhQPyW6rrKzuOey3FulnJurnDOSDtFDmfWZ9V3s8q4NCwu/Tx3dqrapRRnm/O86tzoTikXeQe9Gj+swA8tKVuk/VcUCU9FdTZvXkFzrmSyT1jHQmcipR4wzuzm410d2Z5W8Dr16P/9UvR9S9I9kCWk/HdAJ2xTopco3eyS9PKmY3Um9V6FtPp7lJKmueto5oG+tVidpU/UvJOZC/2/ESxoPeBuqm8mctmTqIROSDcCI6Ik70hWUxow8gxYCkNWEjVTT65sbK3+PxDrhaNbN7c2b249vr3x1bb6PyI+FL8QvxLXwD7+TnwFI9EUh8Dpj+Kv4h/in9t/3v5P42LjA9n04gWF+bko/Gt89F/akQDd</latexit> <latexit sha1_base64="9g7jgMnEUYX+5WITFyLgl0T53ms=">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</latexit> <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">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</latexit> W" p (↵, )p def. = <latexit sha1_base64="1fc+j8d8XBqoBLottFct+NtS058=">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</latexit> sup (f,g)2C(X)2 Z fd↵ + Z gd + " Z X2 (1 e dp+f g " )d↵ ⌦ d Sinkhorn’s algorithm: <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="5QxnzlaOeMrx2y527LIbv6KfndU=">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</latexit> fk+1 def. = (gk)c," <latexit sha1_base64="+c+nAJ/SGm0FoRamb6DVcpO7CQI=">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</latexit> gk+1 def. = (fk+1)c," Richard Sinkhorn <latexit sha1_base64="N11AZj/1eRJbZ8n2E7wb14j0ywU=">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</latexit> d⇡?(x, y) = ef?(x)+g?(y) c(x,y) " d↵(x)d (y) <latexit sha1_base64="hNd+ZC9sUQyWceN1v9k6hdboSOA=">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</latexit> Primal-dual relations: <latexit sha1_base64="b5HPF1lmAzsVMyGqVH/qAOvhbiI=">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</latexit> Dual problem: <latexit sha1_base64="BQAUKxzc8Qb00w1LLPj3yumkUHs=">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</latexit> Proposition: f0 = 0 6 f1 6 f2 6 . . . <latexit sha1_base64="a31Q6KobT5kFdseNksCl5gbeupY=">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</latexit> If c is bounded, fk ! f?. <latexit sha1_base64="XBGfx/0c0MsDNuKtviprkJVWSZ4=">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</latexit> [Robert Fortet 1938] Soft min: <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">AABDBXictVxLcxu5EYY3r7Xz8ibHXCbROuVNeR1J2aqkspWqtR6WtaZt2aRk7y5tFx9DmvaQQ3NI+cHVOT8g1+Qn5JbKdX9H/kFyyiF/IP0ABhgSM41RHE9JwoD4uhsNoNHdAN2dJqNsvrn5jwvvfevb3/nu996/eOn7P/jhj358+YOfnGTpYtaLj3tpks4edTtZnIwm8fF8NE/iR9NZ3Bl3k/hh98Uufv7wNJ5lo3TSmr+Zxo/HneFkNBj1OnOo+qKZDubReDT5/dPLG5vXN+lftF7Y0oUNpf8dpR9E/1Ft1Vep6qmFGqtYTdQcyonqqAyer9SW2lRTqHusllA3g9KIPo/VmboE2AW0iqFFB2pfwO8hvH2layfwjjQzQveASwI/M0BG6gpgUmg3gzJyi+jzBVHG2jLaS6KJsr2Bv11Nawy1c/UMaiWcaRmKw77M1UD9jvowgj5NqQZ719NUFqQVlDxyejUHClOow3IfPp9BuUdIo+eIMBn1HXXboc//SS2xFt97uu1C/YukvAJPpJq692lOoaNOiX5Eo7mAz1ieBDgPgUKs+4ilV6TrMfV+Au2XUH8XnjMqGZ104VlS7VklchceH3JXRB7A40MeiMgGPD5kQ0QeweNDHmkkYmekcz++CY8P3xQ534fHh7wvIh/A40M+EJEn8PiQJyLyS3h8yC9F5E14fMibIvI2PD7kbRHZgseHbInIY3h8yGMRuQ+PD7mvkeUrdQZPSnRGwqq8AeUiD7QUCdTcEOXbIevow+4ErOleCVZe1Xvw14/dC9BpXILdD5h3gxKsPPMOwEb6sbItukW7iQ97S8QewgzwYw9F7OfqeQn284CV9qIEK6+1BrTzY2Xrewfe/Ng7IvYulPxYeY+6BzV+7L2AHWNagj0SsffVyxJsiNWflWBlu98Eu+LHyvtUC9r7sSHWdFGCle3pCXgwfqy8Wz2EWj/2oYh9pF6XYB+J2C/AuvuxXwTssG9LsGaPvUQ7yJD8kRhWbBW1Tr4qsTQFah2Bf5LvLQn5xl2olzDDHDMkzFhEHOSIg0BEI0c0guXKcjuakb8rc2nmiGYgopvvTViai+37eXssJQGIvRyxt4Ko8khxrE1fTsm7MDUScp7vXFgK6VOa228sxXo+VFteg7hXQPDcfkYz/xpFSxhBoaaqqD3L93hGRvRehXhF0ZvppeEh4+a5VXBRr0VU14Pqiqg3HtQbEbXwoBYi6tSDOhVRduW7uHbADLD6x7FY0hvPAPaRy58IvIIbsOvcgjUawfw5Ai/wAdXcg79Nir2lp0oyjOZxn8Qsx+OCJZ5Baak2oN5GhXsUXye0wmKQjFve0zE+vmFuY6nXHFvhs3wnj/KMSTidEckzzOmgtxjReqpH5zbVnJF3x6V6+Fv5ujelevh90vgZefFcqoefa+nn55C9pbGtc2CbsJqmWvu2XJcG51+Yhilfol0XLS6O6ljPGaT3uib9Qz0yh+cYl10qsX5suR6NzOlfVuhfHRpWz5mj53pU0Htir9eUoto9mei415brypDSLjrRcti3uiODbfp6ZEy5Ho0j8Lh2KeZeOuW6s3ea98aW69E4UZz3PCNP3pTr0RjSO+vDluvRwGxLR8f5tlzXsqMGOHa25bpWfUJZYMwB8ZznGusVzchPWmhqI/IPqrM1rs+/vo9hzuZJHiNUU7K+bTmdbr6XVUtk/IUYrNq8phzoXywcH6xIY6m2xfiKZZgX9vd1OnaPR803QIsRrH4+A5By5glIaHISaL0ToLglRl3FnhnctojDWTJYQbV17Vz0Fi1fzhoV655SrRSX2d5aPbbJXmc096bkEzZIs5IeGqUjXEZR0lCjoCGZXh3dvdXrtaj9TRE3XUFM85nWoxMhPkmrjlN9Wm86Or6iT3nm8PCZj52/mG0eaGuDMU9KtghlqeLptjN5JLcO99Vryua4+bOIRhTt1SlZjRGdSGViFGqyxeyNL+nd0j6mMznkwTR6MI6RpjJVfGqGWXTMp0dkUV17K/FGfZkMHZczsrrGHlejhw566EHXj3F2Yce4C6UWxAzH8NYKiHIu5bpKSeMz9XF+OprSCFZH9EnBQhoabG/igoWsirKfFai8AjTOBo7Sw2ms0jH49holOer3yWNj16Llv0Int+Z8u0NzvHw2l2di+sR1m7hGtGr4VJffVjmwBEvvJ9vkv1b3EvnV4Yg2VOL6xOHMepnQiX9MEeyUPOOEVpu0Ooqt3fzU6ieG05EyZ+d4mp2ShYzI/kWwP6U0JyP6ce8OmBN0tggJ2cgQuzPKvRufrzMS55j140aKbzXY+RaTLVsQf0PXXV0ZzUWOGHgfOFuZ20YnDfIFY+I609bdru3q3QeR9p6EO0uYop0rV4n/R/Tb/Jh5srE2I1DDOAKZtnW+8UgpZkEddWiXr7ZBpq0r5Ye5DE+01Hb/szJ9WJBsjyIulAd36z5w7tE788JZMiO5s7U2vI9WZXOR8nRFj9jbAUXxbPeHegdGua/RLrlBa65Ns2QIs2CeRxGmrZRFXuVbzatIPYx29n+hbnVd1BpSjJTN4LKGpPx+TNGaK2UCs5rn7wtaTX6tz1ZaVfOZ0FwcO2v5a6j9Ofw2cpv3MDrdglXYoTnAFOyb1QjXRGstwnjtFHiZmWlo2XfLz85J08qtOU98zdbNxtintakc0ax5rbMWpnweGs8dGs8Dddiis0arRVNvLNFTMbZo6dPKUH51uLVqUF6IlGWPzKBGAVK6sVQY1b5IVY7xDeqtSGtTpNWB1eqeBrhrPgTpX+urq/vrfHeP1E3ybXrkgXH80qdVOiKfy9RWR2pMATl/ou2ru/rbVIPcu2RBkTLf48QVw6dOPXrOckl/qXe2lOy8tQjm3tIr3cbY2DaVf7OGHNOayGhdGsQn1CLW8rtyRCsW6brjc0SU+e+QT8V+R3XM7La2YxIV/Akbb/Kqsrw4UpiQ/qXM2+Fa9HroxK8RxYQL7V13gVb9EUYKjDGZBL9nmdEI4S7HJwns0XbJfq7bKT7FmzgSXSepl+oPATaGo1471925ZXps+vYraIlat6PuayHzS4I5SvzOc6LXoV1trH3U5cr7+Wh19C5XfK/Sw2KFr9XHgtq4kYWN8oqYtvo0mAtLVI8LY0K41OtFHfnrSV5HZj6dCqVsWhvKxUwD25hnFC9J90AR4fPurnq9uY+EfnTX6HUJ61LjGokSZuNSnR9wLS1mpS6u7UNce7FyN0qcnahspzDU3d3C2m+2kDFZv0RJORtu7creLkQpchaGKfQU3+gtiw9dmp/Cg78j5YsODceQ3GET/Nsbalftv4PbEC91mTOaEdWgLeivxN4d3c9ii2odvXSou/RDOITzGIGuJelHtJPWlZ0py5K71MPpvyIrMFOxKL1tWb8PLhe5J+uc6vRnRJZN7s1Ime/i1O2L4RDSkyKXcD58riH1YqDMd5rq9cFQl3tQ5FCHh7nHEDbmtnV9Xi6nan2tcwnlwbuAOXExODz5K49VbLsQCzVzRuTdc0DrMKigbnaL/7Ufho/lVJ9XKLeMvmv2PGDUuV2sM7LoD9dfM5ZbyGwu5xjOM817Z70lPz/2+6JaI5U6vXn39NEftXPA8FoqzoPK0jHenUVW3lAqeC7gkyFV/1bfXJC/jfAyp1EmRx1K5pyinJppIVMz37j09c58FiKTpVMmU5GajSOadCN2Vx2qm/Czm3uAdW+H8ncp+S9i/d+f7UPtgKyHyaJz5qBNdTFlP+wpWp/e7f3ZMonxLi/f7W1BDZ6FN6gW7/nepfZ417dV6Fv5N0h4rd9RqeoXIpLV0z27rrrQg+LJG+eAzPd8I7pLz1ksvnk2DjhbNPenViVa0ifyzYJuKb7rSNmjuTrVZ/V4coA37Dt5fihSv6a6jrbzuOdKnI9KOR+tcM5IO0UOr53Pqu9mlXHZdbj089zZqW6XUpxtz/Oqc6N7pVz4Dno1fliBHzpSNkn7LygSnqnqbN6iguZCy+SesE6UyUSyHjDO7OTjXR3ZnlbwOg3o/+1S9G1H0gOQpUv574hO2GZEL9G62Sfp+aZjdSb1VoW05nuUTNPedbTzwNxarM7SJ3recebC/G8ES1oPuJuam4lS9iQuodOlG4ExUeI7ktWUBoI8A5HCUJREz9Snlze2Vv8fiPXCyfb1rc3rW/e3Nz7b0f9HxPvqZ+oX6irYx9+qz2AkjtQxcBqrP6k/q7/s/HHnrzt/2/k7N33vgsb8VBX+7XzzX01N5E0=</latexit> <latexit sha1_base64="JlAn12AbE06SPMoRzgFxn686MXU=">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</latexit> min ↵ "(h) def. = " log Z X e h/"d↵ <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">AABDW3ictVxfcxu3EYeT/onVtHXa6VNfrlXccTq2I7meaWcynYlFybJi2pZNSnYS2hr+OVJnH3n0HSnLZvjZ+tBP0Ye+N0+dab5AdxfAAUfibnGq6xtJOBC/3cUCWOwuQPemcZTNtrb+cemDD3/045/89KPLGz/7+Oe/+OWVT351nCXztB8e9ZM4SZ/1ulkYR5PwaBbN4vDZNA27414cPu29auDnT8/CNIuSSXv2dho+H3dHk2gY9bszqDq58nzRGUeTk8WiQ7QWaThYdrrxcrl8seiE0yyKk8ny2ulnQSd8PQiHGzd0ZdCJk1HQiSazk86z8yB8sbhx+nmOCDoDoNI4ubK5dXOL/gXrhW1V2BTq32HySfCD6IiBSERfzMVYhGIiZlCORVdk8HwrtsWWmELdc7GAuhRKEX0eiqXYAOwcWoXQogu1r+D3CN6+VbUTeEeaGaH7wCWGnxSQgbgKmATapVBGbgF9PifKWFtGe0E0Uba38LenaI2hdiZOoZbD6Za+OOzLTAzFX6gPEfRpSjXYu76iMietoOSB1asZUJhCHZYH8HkK5T4htZ4DwmTUd9Rtlz7/F7XEWnzvq7Zz8T1JeRWeQLRU75OcQlecEf2ARnMOn0l5YuA8Agqh6iOW3pCux9T7CbRfQP1DeJZU0jrpwbOg2mUlsgGPC9lgkfvwuJD7LLIJjwvZZJGH8LiQhwqJ2JR07sa34HHhWyznx/C4kI9Z5BN4XMgnLPIYHhfymEV+A48L+Q2LvAuPC3mXRd6Hx4W8zyLb8LiQbRZ5BI8LecQi9+BxIfcUsnylpvAkRCdiVuUdKBd5oKWIoeYOK98OWUcXdsdjTfdLsPyq3oW/buyuh07DEuyex7wblmD5mbcPNtKN5W3RPdpNXNh7LPYAZoAbe8BivxIvS7Bfeay0VyVYfq01oZ0by1vfB/Dmxj5gsQ+h5Mbye9QjqHFjH3nsGNMS7CGLfSxel2B9rH5aguXtfgvsihvL71NtaO/G+ljTeQmWt6fH4MG4sfxu9RRq3dinLPaZOC/BPmOxX4N1d2O/9thh35Vg9R67QTvIiPyREFZsFbVuviqxNAVqXYZ/nO8tMfnGPajnMKMcMyLMmEXs54h9T0QzRzS95cpyO5qRv8tzaeWIlieil+9NWJqx7Qd5eyzFHojdHLG7gqjySHGsdV/OyLvQNRxylu9cWPLpU5LbbyyFaj5UW16NeFRAyLl9SjP/OkVLGEGhpqqoneZ7vEQG9F6FeEPRm+6l5sHjZrlVsFHnLKrnQPVY1FsH6i2LmjtQcxZ15kCdsSiz8m1cx2MGGP3jWCzoTc4A6SOXPwF4BXdg17kHazSA+XMIXuATqnkEf1sUe3NPlWQYzeM+iVmO5wVLnEJpITah3kSFuxRfx7TCQpBMtnykYnx8w9zGQq05aYWX+U4e5BkTfzoRyTPK6aC3GNB6qkfnPtUsybuTpXr4e/m616V6+D3S+JK8eFmqh58p6WcXkL2tsO0LYFuwmqZK+6Zcl4bMv0gaurxBuy5aXBzVsZozSO+8Jv0DNTIHFxiXBpWkfky5Ho3M6l9W6F8dGkbPmaXnelTQe5Jery4FtXsyUXGvKdeVIaFddKLkMG91RwbbDNTI6HI9GofgcTUo5l5Y5bqzd5r3xpTr0TgWMu+5JE9el+vRGNG71Icp16OB2ZauivNNua5lRw3I2NmU61r1CWWBMQck57ysMV5RSn7SXFGLyD+oztbYPv/6PoY5mxd5jFBNyfi25XR6+V5WLZH2F0KwarOacqB/Mbd8sCKNhbjFxldShllhf1+nY/Z41HwTtBjA6pdnAFzOPAYJdU4CrXcMFLfZqKvYM427xeJwlgxXUB1VO2O9RcNXZo2KdSdUy8VlprdGjx2y1xnNvSn5hE3SLKeHZukIl1HkNNQsaIinV0d379R6LWp/i8VNVxDTfKb16URInqRVx6kurbcsHV9VpzwzeOSZj5m/mG0eKmuDMU9CtghlqeJpt9N5JLsO99XrwuS45WcBjSjaqzOyGhGdSGVsFKqzxdIbX9C7oX1EZ3LIQ9LowzgGispUyFMzzKJjPj0gi2rbW4436ktn6GQ5I6ur7XE1emShRw50/RinATvGQyi1IWY4gre2R5SzkesqIY2n4kZ+OprQCFZH9HHBQmoa0t6EBQtZFWWfFqi8ATTOBhml+9NYpaPxnTVKfNTvksfErkXLf5VObvX5dpfmePlsLs/EDIjrLeIa0KqRp7rybZWDlGDh/OQW+a/VvUR+dTiiDeW4vrA4S71M6MQ/pAh2Sp5xTKuNWx3F1nZ+avUTzelQ6LNzPM1OyEIGZP8C2J8SmpMB/dh3B/QJurQIMdlIH7sT5d6Ny9eJ2Dlm/LhIyFsNZr6FZMvmxF/TtVdXRnNRRgxyH1iuzG2tkyb5giFxTZV1N2u7evdBpLknYc8SSdHMlWvE/zP6rX/0PNlcmxGoYRyBTNk613gkFLOgjrq0y1fbIN3WlvLTXIYXSmqz/xmZPi1ItksRF8qDu/UAOPfpXfLCWZKS3NlaG7mPVmVzkfJ0RY/Y2yFF8dLuj9QOjHJfp11yk9Zch2bJCGbBLI8idFsui7zKt5pXkbof7ez/Qt3ouqg1pBgIk8GVGuLy+yFFa7aUMcxqOX9f0Wpyaz1daVXNZ0JzcWyt5e+g9nfwW8ut3/3o9ApWYYfmgKRg3oxGZE2w1sKP106Bl56ZmpZ5N/zMnNSt7JqLxNfSupkY+6w2lUOaNecqa6HLF6Hx0qLx0lOHbTprNFrU9doSnbCxRVudVvryq8OtXYPynKXMe2QaFXlIacdSflQHLFU+xteodyytLZZWF1arfRpgr3kfpHutr67u7/LdPRB3ybfpkwcm45cBrdKIfC5dWx2pSQrI+bayr/bq71ANcu+RBUXK8h4nrhh56tSnZ5lL+ge1syVk541F0PeW3qg22sZ2qPynNeSY1kRG61IjblOLUMlvyxGsWKSbls8RUOa/Sz6V9DuqY2a7tRmToOBPmHhTrirDS0YKE9I/l3k7WIteD6z4NaCYcK686x7Qqj/CSEFidCbB7VlmNEK4y8mTBOnR9sh+rtspeYo3sSS6SVIvxF89bIyMes1ct+eW7rHu2x+hJWrdjLqrBc8v9ubI8bvIiV6XdrWx8lEXK+8Xo9VVu1zxvUoP8xW+Rh9zamNHFibKK2I64gtvLlKielwkxodLvV7Ukb+e5HVklqdTvpR1a025mGmQNuaU4iXuHigiXN7dNac39xnTj94avR5hbWqyhqOE2bhE5QdsS4tZqctr+5CsvVy5G8XWTlS2U2jq9m5h7Le0kCFZv1hwORvZ2pa9U4hS+CyMpNAX8kZvWXxo0/wCHvwdCFd0qDn65A5b4N/eEQ2x9x5uQ7xWZZnRDKgGbcFgJfbuqn4WW1Tr6LVF3abvw8GfRwS65qSPaCetK7ukzEtuU/en/4asQCpCVnrTsn4fbC58T9Y51elPRJaN700k9Hdx6vZFc/DpSZGLPx95rsH1Yij0d5rq9UFT53tQ5FCHh77H4DfmpnV9Xjanan2tc/HlIXcBfeKicXjyVx6rmHY+Fiq1RuT9c0DrMKygrneL/7Ufmo/hVJ+XL7eMvmv20mPUZbtQZWTRH66/Zgw3n9lcztGfZ5L3znhLbn7S7wtqjVRi9eb900d/1MwBzWshZB6Ul07i7Vlk5PWlgucCLhkS8W/xt0v8txFe5zTK5KhDSZ9TlFPTLXhq+huXrt7pz3xkMnTKZCpSM3FEi27ENsSBuAs/jdwDrHs7VH6XUv5FrPv7swOoHZL10Fl0mTnoUF1I2Q9zijagd3N/tkxivMsr7/a2oQbPwptUi/d8H1J7vOvbLvSt/Bskcq0/EIkYFCKS1dM9s6560IPiyZvMAenv+QZ0l15mseTNs7HH2aK+P7Uq0YI+4W8W9ErxPUvKPs3VqTqrx5MDvGHfzfNDgfic6rrKzuOey3E+LOV8uMI5I+0UOZxbn1XfzSrj0rC4DPLc2Zlql1Ccbc7zqnOju6Vc5B30avyoAj+ypGyR9l9RJJyK6mzevILmXMlkn7BOhM5ESj1gnNnNx7s6sj2r4HXm0f/7pej7lqT7IEuP8t8BnbClRC9Wutkj6eVNx+pM6r0KafX3KCVNc9fRzAN9a7E6Sx+reSczF/p/I1jQesDdVN9M5LInYQmdHt0IDImSvCNZTWnIyDNkKYxYSdRMPbmyub36/0CsF45v3dzeurn9+Pbmlzvq/4j4SPxW/F5cA/v4Z/EljMShOAJOfxffi/+IH3b+2fiwsdH4WDb94JLC/FoU/jV+81/GWgQj</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">AABDW3ictVxfcxu3EYeT/onVtHXa6VNfrlXccTq2I7meaWcynYlFybJi2pZNSnYS2hr+OVJnH3n0HSnLZvjZ+tBP0Ye+N0+dab5AdxfAAUfibnGq6xtJOBC/3cUCWOwuQPemcZTNtrb+cemDD3/045/89KPLGz/7+Oe/+OWVT351nCXztB8e9ZM4SZ/1ulkYR5PwaBbN4vDZNA27414cPu29auDnT8/CNIuSSXv2dho+H3dHk2gY9bszqDq58nzRGUeTk8WiQ7QWaThYdrrxcrl8seiE0yyKk8ny2ulnQSd8PQiHGzd0ZdCJk1HQiSazk86z8yB8sbhx+nmOCDoDoNI4ubK5dXOL/gXrhW1V2BTq32HySfCD6IiBSERfzMVYhGIiZlCORVdk8HwrtsWWmELdc7GAuhRKEX0eiqXYAOwcWoXQogu1r+D3CN6+VbUTeEeaGaH7wCWGnxSQgbgKmATapVBGbgF9PifKWFtGe0E0Uba38LenaI2hdiZOoZbD6Za+OOzLTAzFX6gPEfRpSjXYu76iMietoOSB1asZUJhCHZYH8HkK5T4htZ4DwmTUd9Rtlz7/F7XEWnzvq7Zz8T1JeRWeQLRU75OcQlecEf2ARnMOn0l5YuA8Agqh6iOW3pCux9T7CbRfQP1DeJZU0jrpwbOg2mUlsgGPC9lgkfvwuJD7LLIJjwvZZJGH8LiQhwqJ2JR07sa34HHhWyznx/C4kI9Z5BN4XMgnLPIYHhfymEV+A48L+Q2LvAuPC3mXRd6Hx4W8zyLb8LiQbRZ5BI8LecQi9+BxIfcUsnylpvAkRCdiVuUdKBd5oKWIoeYOK98OWUcXdsdjTfdLsPyq3oW/buyuh07DEuyex7wblmD5mbcPNtKN5W3RPdpNXNh7LPYAZoAbe8BivxIvS7Bfeay0VyVYfq01oZ0by1vfB/Dmxj5gsQ+h5Mbye9QjqHFjH3nsGNMS7CGLfSxel2B9rH5aguXtfgvsihvL71NtaO/G+ljTeQmWt6fH4MG4sfxu9RRq3dinLPaZOC/BPmOxX4N1d2O/9thh35Vg9R67QTvIiPyREFZsFbVuviqxNAVqXYZ/nO8tMfnGPajnMKMcMyLMmEXs54h9T0QzRzS95cpyO5qRv8tzaeWIlieil+9NWJqx7Qd5eyzFHojdHLG7gqjySHGsdV/OyLvQNRxylu9cWPLpU5LbbyyFaj5UW16NeFRAyLl9SjP/OkVLGEGhpqqoneZ7vEQG9F6FeEPRm+6l5sHjZrlVsFHnLKrnQPVY1FsH6i2LmjtQcxZ15kCdsSiz8m1cx2MGGP3jWCzoTc4A6SOXPwF4BXdg17kHazSA+XMIXuATqnkEf1sUe3NPlWQYzeM+iVmO5wVLnEJpITah3kSFuxRfx7TCQpBMtnykYnx8w9zGQq05aYWX+U4e5BkTfzoRyTPK6aC3GNB6qkfnPtUsybuTpXr4e/m616V6+D3S+JK8eFmqh58p6WcXkL2tsO0LYFuwmqZK+6Zcl4bMv0gaurxBuy5aXBzVsZozSO+8Jv0DNTIHFxiXBpWkfky5Ho3M6l9W6F8dGkbPmaXnelTQe5Jery4FtXsyUXGvKdeVIaFddKLkMG91RwbbDNTI6HI9GofgcTUo5l5Y5bqzd5r3xpTr0TgWMu+5JE9el+vRGNG71Icp16OB2ZauivNNua5lRw3I2NmU61r1CWWBMQck57ysMV5RSn7SXFGLyD+oztbYPv/6PoY5mxd5jFBNyfi25XR6+V5WLZH2F0KwarOacqB/Mbd8sCKNhbjFxldShllhf1+nY/Z41HwTtBjA6pdnAFzOPAYJdU4CrXcMFLfZqKvYM427xeJwlgxXUB1VO2O9RcNXZo2KdSdUy8VlprdGjx2y1xnNvSn5hE3SLKeHZukIl1HkNNQsaIinV0d379R6LWp/i8VNVxDTfKb16URInqRVx6kurbcsHV9VpzwzeOSZj5m/mG0eKmuDMU9CtghlqeJpt9N5JLsO99XrwuS45WcBjSjaqzOyGhGdSGVsFKqzxdIbX9C7oX1EZ3LIQ9LowzgGispUyFMzzKJjPj0gi2rbW4436ktn6GQ5I6ur7XE1emShRw50/RinATvGQyi1IWY4gre2R5SzkesqIY2n4kZ+OprQCFZH9HHBQmoa0t6EBQtZFWWfFqi8ATTOBhml+9NYpaPxnTVKfNTvksfErkXLf5VObvX5dpfmePlsLs/EDIjrLeIa0KqRp7rybZWDlGDh/OQW+a/VvUR+dTiiDeW4vrA4S71M6MQ/pAh2Sp5xTKuNWx3F1nZ+avUTzelQ6LNzPM1OyEIGZP8C2J8SmpMB/dh3B/QJurQIMdlIH7sT5d6Ny9eJ2Dlm/LhIyFsNZr6FZMvmxF/TtVdXRnNRRgxyH1iuzG2tkyb5giFxTZV1N2u7evdBpLknYc8SSdHMlWvE/zP6rX/0PNlcmxGoYRyBTNk613gkFLOgjrq0y1fbIN3WlvLTXIYXSmqz/xmZPi1ItksRF8qDu/UAOPfpXfLCWZKS3NlaG7mPVmVzkfJ0RY/Y2yFF8dLuj9QOjHJfp11yk9Zch2bJCGbBLI8idFsui7zKt5pXkbof7ez/Qt3ouqg1pBgIk8GVGuLy+yFFa7aUMcxqOX9f0Wpyaz1daVXNZ0JzcWyt5e+g9nfwW8ut3/3o9ApWYYfmgKRg3oxGZE2w1sKP106Bl56ZmpZ5N/zMnNSt7JqLxNfSupkY+6w2lUOaNecqa6HLF6Hx0qLx0lOHbTprNFrU9doSnbCxRVudVvryq8OtXYPynKXMe2QaFXlIacdSflQHLFU+xteodyytLZZWF1arfRpgr3kfpHutr67u7/LdPRB3ybfpkwcm45cBrdKIfC5dWx2pSQrI+bayr/bq71ANcu+RBUXK8h4nrhh56tSnZ5lL+ge1syVk541F0PeW3qg22sZ2qPynNeSY1kRG61IjblOLUMlvyxGsWKSbls8RUOa/Sz6V9DuqY2a7tRmToOBPmHhTrirDS0YKE9I/l3k7WIteD6z4NaCYcK686x7Qqj/CSEFidCbB7VlmNEK4y8mTBOnR9sh+rtspeYo3sSS6SVIvxF89bIyMes1ct+eW7rHu2x+hJWrdjLqrBc8v9ubI8bvIiV6XdrWx8lEXK+8Xo9VVu1zxvUoP8xW+Rh9zamNHFibKK2I64gtvLlKielwkxodLvV7Ukb+e5HVklqdTvpR1a025mGmQNuaU4iXuHigiXN7dNac39xnTj94avR5hbWqyhqOE2bhE5QdsS4tZqctr+5CsvVy5G8XWTlS2U2jq9m5h7Le0kCFZv1hwORvZ2pa9U4hS+CyMpNAX8kZvWXxo0/wCHvwdCFd0qDn65A5b4N/eEQ2x9x5uQ7xWZZnRDKgGbcFgJfbuqn4WW1Tr6LVF3abvw8GfRwS65qSPaCetK7ukzEtuU/en/4asQCpCVnrTsn4fbC58T9Y51elPRJaN700k9Hdx6vZFc/DpSZGLPx95rsH1Yij0d5rq9UFT53tQ5FCHh77H4DfmpnV9Xjanan2tc/HlIXcBfeKicXjyVx6rmHY+Fiq1RuT9c0DrMKygrneL/7Ufmo/hVJ+XL7eMvmv20mPUZbtQZWTRH66/Zgw3n9lcztGfZ5L3znhLbn7S7wtqjVRi9eb900d/1MwBzWshZB6Ul07i7Vlk5PWlgucCLhkS8W/xt0v8txFe5zTK5KhDSZ9TlFPTLXhq+huXrt7pz3xkMnTKZCpSM3FEi27ENsSBuAs/jdwDrHs7VH6XUv5FrPv7swOoHZL10Fl0mTnoUF1I2Q9zijagd3N/tkxivMsr7/a2oQbPwptUi/d8H1J7vOvbLvSt/Bskcq0/EIkYFCKS1dM9s6560IPiyZvMAenv+QZ0l15mseTNs7HH2aK+P7Uq0YI+4W8W9ErxPUvKPs3VqTqrx5MDvGHfzfNDgfic6rrKzuOey3E+LOV8uMI5I+0UOZxbn1XfzSrj0rC4DPLc2Zlql1Ccbc7zqnOju6Vc5B30avyoAj+ypGyR9l9RJJyK6mzevILmXMlkn7BOhM5ESj1gnNnNx7s6sj2r4HXm0f/7pej7lqT7IEuP8t8BnbClRC9Wutkj6eVNx+pM6r0KafX3KCVNc9fRzAN9a7E6Sx+reSczF/p/I1jQesDdVN9M5LInYQmdHt0IDImSvCNZTWnIyDNkKYxYSdRMPbmyub36/0CsF45v3dzeurn9+Pbmlzvq/4j4SPxW/F5cA/v4Z/EljMShOAJOfxffi/+IH3b+2fiwsdH4WDb94JLC/FoU/jV+81/GWgQj</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="MQjD8WKLcF9bATAci8S1G5MBnkA=">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</latexit> <latexit sha1_base64="wV/4AS/OBY2C8Cq5XnMy4SxHeLU=">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</latexit> "!0 ! min supp(↵) h
  29. Stabilized Sinkhorn <latexit sha1_base64="er0D6V7aL+pbEpN9U38WFu2+H5I=">AABFSnictVxfcxu3EYfTtE3Vf0772JdLZXfsRnVlxW2ayWQmNiXLihWbNinZiWl7eOSJOvvIo3kk/YfhZ+sX6PS9H6Az7VNnOn3pdNrpYhc44EjcLU51dSMRB+K3u9gDFrsLnMJxEmfT7e0/nXvnW+9++zvffe97G9//wQ9/9OPz7//kOEtnk1501EuTdPIw7GZREo+io2k8TaKH40nUHYZJ9CB83pDfP5hHkyxOR+3p63H0eNgdjOKTuNedQtXT86cXOrNhPFp0msugE42yXjrqLzY6/XQ6lnWLxjL4EL4YZ3GSjgJT30nSwaVO8/JyYwnNm0EnHUXZZ51uYyvoNJ90pulYV4WNjeXGhY2n5ze3r2zjT7BeuKoKm0L9NNP3P/iz6Ii+SEVPzMRQRGIkplBORFdkcD0SV8W2GEPdY7GAugmUYvw+EkuxAdgZtIqgRRdqn8PfAdw9UrUjuJc0M0T3gEsCvxNABuIiYFJoN4Gy5Bbg9zOkLGvLaC+QppTtNXyGitYQaqfiFGo5nG7pi5N9mYoT8TvsQwx9GmON7F1PUZmhVqTkgdWrKVAYQ50s9+H7CZR7iNR6DhCTYd+lbrv4/V+wpayV9z3Vdib+ilJehCsQLdX7NKfQFXOkH+DTnMF3JE8CnAdAIVJ9lKWXqOsh9n4E7RdQfweuJZa0TkK4Fli7rEQ24HIhGyxyHy4Xcp9FHsLlQh6yyCZcLmRTISV2gjp341twufAtlvM9uFzIeyzyPlwu5H0WeQyXC3nMIr+Gy4X8mkXehMuFvMkib8PlQt5mkW24XMg2izyCy4U8YpF7cLmQewpZPlMncKVIJ2Zm5XUoF3lIS5FAzXVWvhtoHV3YGx5zuleC5Wf1Lny6sbseOo1KsHse4+6kBMuPvH2wkW4sb4tu4Wriwt5isQcwAtzYAxb7hXhWgv3CY6Y9L8Hyc+0Q2rmxvPX9Eu7c2C9Z7B0oubH8GnUXatzYux4rxrgE22Sx98SLEqyP1Z+UYHm73wK74sby61Qb2ruxPtZ0VoLl7ekxeDBuLL9aPYBaN/YBi30oXpVgH7LYr8C6u7Ffeaywb0qweo3dwBVkgP5IBDO2ilo3n5WyNAZqXYZ/kq8tCfrGIdRzmEGOGSBmyCL2c8S+J+IwRxx6y5XldjRDf5fn0soRLU9EmK9NsjRl2/fz9rKUeCB2c8TuCqLKI5XPWvdljt6FruGQ03zlkiWfPqW5/ZalSI2HasurEXcLCBrbpzjytzBakhGU1FQVtdN8jSdkgPdViJcYveleah48bppbBRv1ikWFDlTIol47UK9Z1MyBmrGouQM1Z1Fm5tu4jscIMPqXz2KBdzQCyEcuvwLwCq7DqnML5mgA46cJXuB9rLkLny2MvbmrSjIZzct1UmY5Hhcs8QRKC7EJ9SYq3MX4OsEZFoFk1PKuivHlncxtLNScIyu8zFfyIM+Y+NOJUZ5BTkd6iwHOp3p0bmPNEr07KtXD38rnvS7Vw++hxpfoxVOpHn6qpJ+eQfa2wrbPgG3BbBor7ZtyXRqUfyEauryBq660uPKpDtWYkfRe1aR/oJ7MwRmeSwNLpB9Trkcjs/qXFfpXh4bRc2bpuR4V6T2R16tLQe2ejFTca8p1ZUhxFR0pOcxd3Scj2/TVk9HlejSa4HE1MOZeWOW6o3ec98aU69E4FpT3XKInr8v1aAzwnvRhyvVoyGxLV8X5plzXsksNUOxsynWt+gizwDIHRGOeaoxXNEE/aaaoxegfVGdrbJ9/fR2TOZsneYxQTcn4tuV0wnwtq5ZI+wsRWLVpTTmkfzGzfLAijYXYYeMrkmFaWN/X6Zg1Xmr+ELQYwOynPQAuZ56AhDonIa13AhSvslFXsWcat8Pi5Cg5WUF1VO2U9RYNX8oaFeueYi0Xl5neGj120F5nOPbG6BMeomY5PRyWPuEyipyGDgsa4unV0d0bNV+L2t9mceMVxDgfaT3cEaKdtOo41aX1lqXji2qXZwoX7fmY8SuzzSfK2siYJ0VbJGWp4mm303kku06uq1vC5LjpuwCfqLRXc7QaMe5IZWwUqrPF5I0v8N7QPsI9OcmDaPTgOQaKyljQrpnMost8eoAW1ba3HG+pL52ho3KGVlfb42r0wEIPHOj6MU4DVow7UGpDzHAEd22PKGcj11WKGp+IX+W7oyk+weqIPilYSE2D7E1UsJBVUfZpgcpLQMvRQFG6P41VOhrfWaPER/0ueUzsWrT8F3HnVu9vd3GMl4/m8kxMH7nuINcAZw3t6tLdKgeSYOH8Zgf91+peSn51OEobynF9YnEmvYxwxz/CCHaMnnGCs42bHcXWdn5q9RvNqSn03rnczU7RQgZo/wJYn1IckwH+2mcH9A46WYQEbaSP3Ylz78bl68TsGDN+XCzoVIMZbxHashny13Tt2ZXhWKSIgdaB5crY1jo5RF8wQq4TZd3N3K5efSTSnJOwRwlRNGPlEvK/jH/1rx4nm2sjQmpYPoFM2TrX80gxZpE66uIqX22DdFtbygu5DE+U1Gb9MzJdKEi2ixGXlEeu1n3g3MN74iVHyQTlztba0Dpalc2VlMcrepS9PcEonuz+QK3AUu4tXCU3cc51cJQMYBRM8yhCt+WyyKt8q3kVqfvRzv4v1I2ui1qTFANhMrikIS6/H2G0ZkuZwKim8fscZ5Nb65OVVtV8RjgWh9Zc/gZqP4C/Wm5970cnLFiFGzgGiIK5MxqhmmCthR+vGwVeemRqWube8DNjUreya84SX5N1MzH2vDaVJo6aVyproctnofHMovHMU4dt3Gs0WtT12hI9ZWOLttqt9OVXh1u7BuUZS5n3yDQq9pDSjqX8qPZZqnyMr1FvWFrbLK0uzFZ7N8Ce8z5I91xfnd3f5Kt7IG6ib9NDD4zilz7O0hh9Ll1bHakRBcn5mrKv9uzvYI3kHqIFlZTpHKecMbTr1MNrmUv6C7WypWjnjUXQ55Zeqjbaxnaw/NEacohzIsN5qRHXsEWk5LflCFYs0hXL5wgw899Fn4r8juqY2W5tnklQ8CdMvEmzyvCiSGGE+ucybwdr0euBFb8GGBPOlHcdAq36T1hSIIzOJLg9ywyfkFzlaCeBPNoQ7ee6naJdvJEl0RWUeiE+87AxFPWasW6PLd1j3bdfQkupdfPUXS14fok3R47fWXb0uriqDZWPuli5PxutrlrlivdVepit8DX6mGEbO7IwUV4R0xGfenMhiepxIYwPl3q9qCN/PcnryEy7U76UdWtNuZhpIBtzivESdw5UIlze3SWnN3eZ6Ue4Ri9ErE2NajhKMhuXqvyAbWllVipYiZDsem5NSqz1qGy9MDzsVcPYcbKUEVrBRHC5G2pt96FTiFb4bAxR6Ak62VsWJ9o0P4VL/g2EK0rUHH1yiC3wc6+Lhth7C6ciXqgyZTYDrJE2ob8Sg3dVP4stqnX0wqJu0/fh4M8jBl1z0se4otaVnSjzktvU/em/RGswERErvWlZvw82F74n65zq9CdGC8f3Jhb6nZy6fdEcfHpS5OLPh/Y3uF6cCP1uU70+aOp8D4oc6vDQ5xn8nrlpXZ+XzalaX+tcfHnQOqB3XjRO7gCWxyymnY+FmlhP5O1zkNbhpIK6Xi3+135oPoZTfV6+3DJ85+yZx1OndpHKzEq/uP6cMdx8RnM5R3+ead474zW5+ZH/F9R6UqnVm7dPX/qlZgxoXgtB+VBeOsLbo8jI60tF7g+4ZEjF38Tvz/FvJbzIaZTJUYeS3q8op6Zb8NT0m5eu3unvfGQydMpkKlIz8UQLT8Y2xIG4Cb+N3AOse0qU3qmkT4l1v0fbh9oTtB46m04ZhA7WRZgFMbtpfbw352jLJJZneumMbxtq5J74IdbK8753sL0889su9K38TRKa61+KVPQLkcnqLp+ZVyH0oLgDR7kg/b5vgGfqKZtFJ9CGHnuMdI6KIiX99vMCEX2MC1clXSBCj5YqyqGTcohnkqIS2mGhbz0c4WO10y/3HeT5/G6eXQrEr7Guq1YHuVJzUjUdUj3CzECI+t+GCO03Ygs+t1TZLWlzTdIMn0FRolfWd9UnwZbOcWHeZryIeTCdqZurdilG9Wb3sDoTu1vKhU68V+MHFfiBJWULn9ZzjLsnojp3OKugOVMy2fu5I6HznqQHGc128/FRHT/PK3jNPfp/uxR925J0H2QJMdse4H7eBOklSjd7KD2dq6zO296qkFa/tUk0zclKMw70GcnqPYFEjbvy2U/nILlcTVRCx57rdCKTOy0SOynx83PscRqi69Fbvq8+PeWozFhJZh5vIs89ZJl70DlhpDlhKQxYSZR9wP/+8Qn+BFT4+JoqfHI1/+8fxztXrv72ykf3djY/v6H+D8h74mfi5+ISrH0fi89h/DfFEXD6o/iH+Lf4z+4fdv+++8/df1HTd84pzE9F4Wfv3f8CkBdnaA==</latexit> min P hP, Ci + "hP,

    log(P)i ; P1 = a, P>1 = b P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="RqWkRE9CIjMjObST2AkmUS4W5LE=">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</latexit> u = a e f " <latexit sha1_base64="4wWqrwnygPsMAQ147XZbuuj8mv8=">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</latexit> v = b e g " <latexit sha1_base64="p5G7QlcGnhjkJKMCZIVSTiuhwsM=">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</latexit> P = ef g C " <latexit sha1_base64="25V0hq5UE1QfPxJlglCNn15x6so=">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</latexit> max f,g hf, ai + hg, bi "hef g C " , a ⌦ bi
  30. Stabilized Sinkhorn <latexit sha1_base64="er0D6V7aL+pbEpN9U38WFu2+H5I=">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</latexit> min P hP, Ci + "hP,

    log(P)i ; P1 = a, P>1 = b P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="RqWkRE9CIjMjObST2AkmUS4W5LE=">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</latexit> u = a e f " <latexit sha1_base64="4wWqrwnygPsMAQ147XZbuuj8mv8=">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</latexit> v = b e g " <latexit sha1_base64="p5G7QlcGnhjkJKMCZIVSTiuhwsM=">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</latexit> P = ef g C " <latexit sha1_base64="25V0hq5UE1QfPxJlglCNn15x6so=">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</latexit> max f,g hf, ai + hg, bi "hef g C " , a ⌦ bi <latexit sha1_base64="BLi59MvBY5fhzqFB7MAo7sx64wU=">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</latexit> min" a (h) , " log P i e hi " ai <latexit sha1_base64="Q9IpPPNIvcb93F+WFgUp8u4fKEk=">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</latexit> gj min" a (C·,j f) <latexit sha1_base64="w0rZ3TRvJWb0y4y6bE4a4nLn5Wk=">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</latexit> fi min" b (Ci,· g) u a Kv <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> v b K>u <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit>
  31. Stabilized Sinkhorn <latexit sha1_base64="er0D6V7aL+pbEpN9U38WFu2+H5I=">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</latexit> min P hP, Ci + "hP,

    log(P)i ; P1 = a, P>1 = b P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">AABFHHictVxfc9u4EUeu/67uv1z72BdenXRynTS13eu005ubucRyHJ+dRIlkJ3dRkhElWmFCi4ooKn90+iqdfpO+dPrS6bRPnekH6Ez71K/QxS5AgBLIBd00HNsgiN/uYgksdhdgwkkSZ7OtrX9ceO9rX//GN7/1/rc3vvPd733/Bxc/+OFJlubTQXQ8SJN0+jDsZ1ESj6PjWTxLooeTadQ/C5PoQfhiVz5/MI+mWZyOu7M3k+jxWX80jk/jQX8GVU8v/vZSr73xabDRG8b90ZVFDykuptFw2ctby496h+UHYZJHy94cnmxcenpxc+vaFv4L1gvbqrAp1L92+sGH/xQ9MRSpGIhcnIlIjMUMyonoiwyuR2JbbIkJ1D0WC6ibQinG55FYig3A5tAqghZ9qH0Bv0dw90jVjuFe0swQPQAuCfxMARmIy4BJod0UypJbgM9zpCxrq2gvkKaU7Q38DRWtM6idiWdQy+F0S1+c7MtMnIrfYB9i6NMEa2TvBopKjlqRkgdWr2ZAYQJ1sjyE51MoDxCp9RwgJsO+S9328fm/sKWslfcD1TYX/0YpL8MViI7qfVpQ6Is50g/wbebwjORJgPMIKESqj7L0CnV9hr0fQ/sF1N+Ba4klrZMQrgXWLmuRu3C5kLssch8uF3KfRR7B5UIescg2XC5kWyEldoo6d+M7cLnwHZbzPbhcyHss8j5cLuR9FnkClwt5wiK/hMuF/JJF3oTLhbzJIg/hciEPWWQXLheyyyKP4XIhj1nkHlwu5J5CVs/UKVwp0omZWXkdymUe0lIkUHOdle8GWkcX9obHnB5UYPlZ3YK/bmzLQ6dRBXbPY9ydVmD5kbcPNtKN5W3RLVxNXNhbLPYARoAbe8BiPxfPK7Cfe8y0FxVYfq4dQTs3lre+t+HOjb3NYu9AyY3l16i7UOPG3vVYMSYV2DaLvSdeVmB9rP60Asvb/Q7YFTeWX6e60N6N9bGmeQWWt6cn4MG4sfxq9QBq3dgHLPaheF2BfchivwDr7sZ+4bHCvq3A6jV2A1eQEfojEczYOmr9YlbK0gSo9Rn+SbG2JOgbh1DPYUYFZoSYMxaxXyD2PRFHBeLIW66ssKMZ+rs8l06B6HgiwmJtkqUZ235YtJelxAPRKhCtFUSdRyrfte7LHL0LXcMhZ8XKJUs+fUoL+y1LkRoP9ZZXI+6WEDS2n+HIv4rRkoygpKbqqD0r1nhCBnhfh3iF0ZvupebB42aFVbBRr1lU6ECFLOqNA/WGReUOVM6i5g7UnEWZmW/jeh4jwOhfvosF3tEIIB+5+grAK7gOq84tmKMBjJ82eIH3seYu/O1g7M1ddZLJaF6ukzLL8bhkiadQWohNqDdRYQvj6wRnWASSUcu7KsaXdzK3sVBzjqzwsljJgyJj4k8nRnlGBR3pLQY4n5rROcSaJXp3VGqGv1XMe11qht9DjS/Ri6dSM/xMST87h+xdhe2eA9uB2TRR2jflpjQo/0I0dHkDV11pceVbPVNjRtJ73ZD+gXozB+d4L7tYIv2YcjMamdW/rNS/JjSMnjNLz82oSO+JvF5dChr3ZKziXlNuKkOKq+hYyWHumr4Z2Wao3owuN6PRBo9rF2PuhVVuOnonRW9MuRmNE0F5zyV68rrcjMYI70kfptyMhsy29FWcb8pNLbvUAMXOptzUqo8xCyxzQDTmqcZ4RVP0k3JFLUb/oD5bY/v86+uYzNk8KWKEekrGt62mExZrWb1E2l+IwKrNGsoh/Yvc8sHKNBZih42vSIZZaX1fp2PWeKn5I9BiALOf9gC4nHkCEuqchLTeCVDcZqOucs80bofFyVFyuoLqqdoZ6y0avpQ1Ktc9xVouLjO9NXrsob3OcOxN0Cc8Qs1yejiqfMNVFDkNHZU0xNNroru3ar6Wtb/F4iYriEkx0ga4I0Q7afVxqkvrHUvHl9Uuzwwu2vMx41dmm0+VtZExT4q2SMpSx9Nup/NIdp1cV68Kk+OmZwG+UWmv5mg1YtyRytgoVGeLyRtf4L2hfYx7cpIH0RjAewwUlYmgXTOZRZf59AAtqm1vOd5SXzpDR+UMra62x/XokYUeOdDNY5xdWDHuQKkLMcMx3HU9opyNQlcpanwqfl7sjqb4Busj+qRkITUNsjdRyULWRdnPSlReAVqOBorS/Wms0tH43holPup3yWNi17Llv4w7t3p/u49jvHo0V2dihsh1B7kGOGtoV5fuVjmQBAvnkx30X+t7Kfk14ShtKMf1icWZ9DLGHf8II9gJesYJzjZudpRb2/mp1SeaU1vovXO5m52ihQzQ/gWwPqU4JgP8sc8O6B10sggJ2kgfuxMX3o3L14nZMWb8uFjQqQYz3iK0ZTny13Tt2ZXhWKSIgdaB5crY1jo5Ql8wQq5TZd3N3K5ffSTSnJOwRwlRNGPlCvL/CH/rHz1ONtdGhNSwfAOZsnWu95FizCJ11MdVvt4G6ba2lJcKGZ4oqc36Z2S6VJKshRGXlEeu1kPgPMB74iVHyRTlztba0Dpal82VlCcrepS9PcUonuz+SK3AUu6ruEpu4pzr4SgZwSiYFVGEbstlkVf51vMqU/ejnf1fqBtdl7UmKQbCZHBJQ1x+P8JozZYygVFN4/cFzia31qcrrer5jHEsnllz+Suo/RB+a7n1vR+dsGQVbuAYIArmzmiEaoK1Fn68bpR46ZGpaZl7w8+MSd3KrjlPfE3WzcTY88ZU2jhqXqushS6fh8Zzi8ZzTx12ca/RaFHXa0v0lI0tumq30pdfE27dBpRzljLvkWlU7CGlHUv5UR2yVPkYX6PesrS2WFp9mK32boA9532Q7rm+Oru/Klb3QNxE32aAHhjFL0OcpTH6XLq2PlIjCpLzx8q+2rO/hzWSe4gWVFKmc5xyxtCu0wCvZSHpT9XKlqKdNxZBn1t6pdpoG9vD8i/XkGc4JzKclxrxMbaIlPy2HMGKRbpm+RwBZv776FOR31EfM9utzTsJSv6EiTdpVhleFCmMUf9c5u1gLXo9sOLXAGPCXHnXIdBq/oYlBcLoTILbs8zwDclVjnYSyKMN0X6u2ynaxRtbEl1DqRfiUw8bQ1GvGev22NI91n37GbSUWjdv3dWC55d4c+T4nWdHr4+r2pnyURcr9+ej1VerXPm+Tg/5Cl+jjxzb2JGFifLKmJ74xJsLSdSMC2F8uDTrRRP5m0neRGbanfKlrFtryuVMA9mYZxgvcedAJcLl3V1xenMfMf0I1+iFiLWpUQ1HSWbjUpUfsC2tzEoFKxGSXc+tSYm1HlWtF4aHvWoYO06WMkIrmAgud0Ot7T70StEKn40hCgNBJ3ur4kSb5idwyd+BcEWJmqNPDrEDfu51sSv23sGpiJeqTJnNAGukTRiuxOB91c9yi3odvbSo2/R9OPjziEHXnPQxrqhNZSfKvOQ2dX/6r9AaTEXESm9aNu+DzYXvyTqnJv2J0cLxvYmF/ianaV80B5+elLn486H9Da4Xp0J/29SsD5o634MyhyY89HkGv3duWjfnZXOq19c6F18etA7onReNkzuA1TGLaedjoabWG3n3HKR1OK2hrleL/7Ufmo/h1JyXL7cMvzl77vHWqV2kMrPSL24+Zww3n9FczdGfZ1r0znhNbn7k/wWN3lRq9ebd05d+qRkDmtdCUD6Ul47w9igy8vpSkfsDLhlS8R/xhwv8VwkvCxpVcjShpPcrqqnpFjw1/eWlq3f6mY9Mhk6VTGVqJp7o4MnYXXEgbsLPbuEBNj0lSt9U0l+JdX9HO4TaU7QeOptOGYQe1kWYBTG7aUO8N+doqySWZ3rpjG8XauSe+BHWyvO+d7C9PPPbLfWt+ksSmuu3RSqGpchkdZfPzKsQelDegaNckP7eN8Az9ZTNohNoZx57jHSOiiIl/fXzAhFDjAtXJV0gQo+WOsqhk3KIZ5KiCtphqW8DHOETtdMv9x3k+fx+kV0KxC+wrq9WB7lSc1K1HVI9wsxAiPrfggjtV+Iq/L2qym5J22uSZvgOyhK9tp7VnwRbOseF+ZrxMubBdKZurtqlGNWb3cP6TGyrkgudeK/Hj2rwI0vKDr6tFxh3T0V97jCvoZkrmez93LHQeU/Sg4xm+8X4qI+f5zW85h79P6xEH1qS7oMsIWbbA9zPmyK9ROlmD6Wnc5X1edtbNdLqrzaJpjlZacaBPiNZvyeQqHFXPfvpHCSXq4kq6NhznU5kcqdFYiclfn5OPE5D9D16y/fVp6cclZyVJPf4EnnuIcvcg84pI80pS2HESqLsw9OLm9ur/9fHeuFk59r21rXtezubn91Q/w/I++LH4ifiCqx9vxafwfhvi2Pg9HvxJ/FX8bfW71p/bP259Rdq+t4FhfmRKP1r/f2/HzBWQw==</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="RqWkRE9CIjMjObST2AkmUS4W5LE=">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</latexit> u = a e f " <latexit sha1_base64="4wWqrwnygPsMAQ147XZbuuj8mv8=">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</latexit> v = b e g " <latexit sha1_base64="p5G7QlcGnhjkJKMCZIVSTiuhwsM=">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</latexit> P = ef g C " <latexit sha1_base64="25V0hq5UE1QfPxJlglCNn15x6so=">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</latexit> max f,g hf, ai + hg, bi "hef g C " , a ⌦ bi <latexit sha1_base64="BLi59MvBY5fhzqFB7MAo7sx64wU=">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</latexit> min" a (h) , " log P i e hi " ai <latexit sha1_base64="Q9IpPPNIvcb93F+WFgUp8u4fKEk=">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</latexit> gj min" a (C·,j f) <latexit sha1_base64="w0rZ3TRvJWb0y4y6bE4a4nLn5Wk=">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</latexit> fi min" b (Ci,· g) u a Kv <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> v b K>u <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="ySEGuNJeVDyX6N3+2KPVAAJYz3s=">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</latexit> Unstable for small ". <latexit sha1_base64="N/nHsDlRIfQFA2EhhORPhvClxU8=">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</latexit> min" a (h ) = min" a (h) <latexit sha1_base64="C9A2FrBh9lOjOdGM+SI2uRkFCtI=">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</latexit> Use = min(h) or . . .
  32. Stabilized Sinkhorn <latexit sha1_base64="er0D6V7aL+pbEpN9U38WFu2+H5I=">AABFSnictVxfcxu3EYfTtE3Vf0772JdLZXfsRnVlxW2ayWQmNiXLihWbNinZiWl7eOSJOvvIo3kk/YfhZ+sX6PS9H6Az7VNnOn3pdNrpYhc44EjcLU51dSMRB+K3u9gDFrsLnMJxEmfT7e0/nXvnW+9++zvffe97G9//wQ9/9OPz7//kOEtnk1501EuTdPIw7GZREo+io2k8TaKH40nUHYZJ9CB83pDfP5hHkyxOR+3p63H0eNgdjOKTuNedQtXT86cXOrNhPFp0msugE42yXjrqLzY6/XQ6lnWLxjL4EL4YZ3GSjgJT30nSwaVO8/JyYwnNm0EnHUXZZ51uYyvoNJ90pulYV4WNjeXGhY2n5ze3r2zjT7BeuKoKm0L9NNP3P/iz6Ii+SEVPzMRQRGIkplBORFdkcD0SV8W2GEPdY7GAugmUYvw+EkuxAdgZtIqgRRdqn8PfAdw9UrUjuJc0M0T3gEsCvxNABuIiYFJoN4Gy5Bbg9zOkLGvLaC+QppTtNXyGitYQaqfiFGo5nG7pi5N9mYoT8TvsQwx9GmON7F1PUZmhVqTkgdWrKVAYQ50s9+H7CZR7iNR6DhCTYd+lbrv4/V+wpayV9z3Vdib+ilJehCsQLdX7NKfQFXOkH+DTnMF3JE8CnAdAIVJ9lKWXqOsh9n4E7RdQfweuJZa0TkK4Fli7rEQ24HIhGyxyHy4Xcp9FHsLlQh6yyCZcLmRTISV2gjp341twufAtlvM9uFzIeyzyPlwu5H0WeQyXC3nMIr+Gy4X8mkXehMuFvMkib8PlQt5mkW24XMg2izyCy4U8YpF7cLmQewpZPlMncKVIJ2Zm5XUoF3lIS5FAzXVWvhtoHV3YGx5zuleC5Wf1Lny6sbseOo1KsHse4+6kBMuPvH2wkW4sb4tu4Wriwt5isQcwAtzYAxb7hXhWgv3CY6Y9L8Hyc+0Q2rmxvPX9Eu7c2C9Z7B0oubH8GnUXatzYux4rxrgE22Sx98SLEqyP1Z+UYHm73wK74sby61Qb2ruxPtZ0VoLl7ekxeDBuLL9aPYBaN/YBi30oXpVgH7LYr8C6u7Ffeaywb0qweo3dwBVkgP5IBDO2ilo3n5WyNAZqXYZ/kq8tCfrGIdRzmEGOGSBmyCL2c8S+J+IwRxx6y5XldjRDf5fn0soRLU9EmK9NsjRl2/fz9rKUeCB2c8TuCqLKI5XPWvdljt6FruGQ03zlkiWfPqW5/ZalSI2HasurEXcLCBrbpzjytzBakhGU1FQVtdN8jSdkgPdViJcYveleah48bppbBRv1ikWFDlTIol47UK9Z1MyBmrGouQM1Z1Fm5tu4jscIMPqXz2KBdzQCyEcuvwLwCq7DqnML5mgA46cJXuB9rLkLny2MvbmrSjIZzct1UmY5Hhcs8QRKC7EJ9SYq3MX4OsEZFoFk1PKuivHlncxtLNScIyu8zFfyIM+Y+NOJUZ5BTkd6iwHOp3p0bmPNEr07KtXD38rnvS7Vw++hxpfoxVOpHn6qpJ+eQfa2wrbPgG3BbBor7ZtyXRqUfyEauryBq660uPKpDtWYkfRe1aR/oJ7MwRmeSwNLpB9Trkcjs/qXFfpXh4bRc2bpuR4V6T2R16tLQe2ejFTca8p1ZUhxFR0pOcxd3Scj2/TVk9HlejSa4HE1MOZeWOW6o3ec98aU69E4FpT3XKInr8v1aAzwnvRhyvVoyGxLV8X5plzXsksNUOxsynWt+gizwDIHRGOeaoxXNEE/aaaoxegfVGdrbJ9/fR2TOZsneYxQTcn4tuV0wnwtq5ZI+wsRWLVpTTmkfzGzfLAijYXYYeMrkmFaWN/X6Zg1Xmr+ELQYwOynPQAuZ56AhDonIa13AhSvslFXsWcat8Pi5Cg5WUF1VO2U9RYNX8oaFeueYi0Xl5neGj120F5nOPbG6BMeomY5PRyWPuEyipyGDgsa4unV0d0bNV+L2t9mceMVxDgfaT3cEaKdtOo41aX1lqXji2qXZwoX7fmY8SuzzSfK2siYJ0VbJGWp4mm303kku06uq1vC5LjpuwCfqLRXc7QaMe5IZWwUqrPF5I0v8N7QPsI9OcmDaPTgOQaKyljQrpnMost8eoAW1ba3HG+pL52ho3KGVlfb42r0wEIPHOj6MU4DVow7UGpDzHAEd22PKGcj11WKGp+IX+W7oyk+weqIPilYSE2D7E1UsJBVUfZpgcpLQMvRQFG6P41VOhrfWaPER/0ueUzsWrT8F3HnVu9vd3GMl4/m8kxMH7nuINcAZw3t6tLdKgeSYOH8Zgf91+peSn51OEobynF9YnEmvYxwxz/CCHaMnnGCs42bHcXWdn5q9RvNqSn03rnczU7RQgZo/wJYn1IckwH+2mcH9A46WYQEbaSP3Ylz78bl68TsGDN+XCzoVIMZbxHashny13Tt2ZXhWKSIgdaB5crY1jo5RF8wQq4TZd3N3K5efSTSnJOwRwlRNGPlEvK/jH/1rx4nm2sjQmpYPoFM2TrX80gxZpE66uIqX22DdFtbygu5DE+U1Gb9MzJdKEi2ixGXlEeu1n3g3MN74iVHyQTlztba0Dpalc2VlMcrepS9PcEonuz+QK3AUu4tXCU3cc51cJQMYBRM8yhCt+WyyKt8q3kVqfvRzv4v1I2ui1qTFANhMrikIS6/H2G0ZkuZwKim8fscZ5Nb65OVVtV8RjgWh9Zc/gZqP4C/Wm5970cnLFiFGzgGiIK5MxqhmmCthR+vGwVeemRqWube8DNjUreya84SX5N1MzH2vDaVJo6aVyproctnofHMovHMU4dt3Gs0WtT12hI9ZWOLttqt9OVXh1u7BuUZS5n3yDQq9pDSjqX8qPZZqnyMr1FvWFrbLK0uzFZ7N8Ce8z5I91xfnd3f5Kt7IG6ib9NDD4zilz7O0hh9Ll1bHakRBcn5mrKv9uzvYI3kHqIFlZTpHKecMbTr1MNrmUv6C7WypWjnjUXQ55Zeqjbaxnaw/NEacohzIsN5qRHXsEWk5LflCFYs0hXL5wgw899Fn4r8juqY2W5tnklQ8CdMvEmzyvCiSGGE+ucybwdr0euBFb8GGBPOlHcdAq36T1hSIIzOJLg9ywyfkFzlaCeBPNoQ7ee6naJdvJEl0RWUeiE+87AxFPWasW6PLd1j3bdfQkupdfPUXS14fok3R47fWXb0uriqDZWPuli5PxutrlrlivdVepit8DX6mGEbO7IwUV4R0xGfenMhiepxIYwPl3q9qCN/PcnryEy7U76UdWtNuZhpIBtzivESdw5UIlze3SWnN3eZ6Ue4Ri9ErE2NajhKMhuXqvyAbWllVipYiZDsem5NSqz1qGy9MDzsVcPYcbKUEVrBRHC5G2pt96FTiFb4bAxR6Ak62VsWJ9o0P4VL/g2EK0rUHH1yiC3wc6+Lhth7C6ciXqgyZTYDrJE2ob8Sg3dVP4stqnX0wqJu0/fh4M8jBl1z0se4otaVnSjzktvU/em/RGswERErvWlZvw82F74n65zq9CdGC8f3Jhb6nZy6fdEcfHpS5OLPh/Y3uF6cCP1uU70+aOp8D4oc6vDQ5xn8nrlpXZ+XzalaX+tcfHnQOqB3XjRO7gCWxyymnY+FmlhP5O1zkNbhpIK6Xi3+135oPoZTfV6+3DJ85+yZx1OndpHKzEq/uP6cMdx8RnM5R3+ead474zW5+ZH/F9R6UqnVm7dPX/qlZgxoXgtB+VBeOsLbo8jI60tF7g+4ZEjF38Tvz/FvJbzIaZTJUYeS3q8op6Zb8NT0m5eu3unvfGQydMpkKlIz8UQLT8Y2xIG4Cb+N3AOse0qU3qmkT4l1v0fbh9oTtB46m04ZhA7WRZgFMbtpfbw352jLJJZneumMbxtq5J74IdbK8753sL0889su9K38TRKa61+KVPQLkcnqLp+ZVyH0oLgDR7kg/b5vgGfqKZtFJ9CGHnuMdI6KIiX99vMCEX2MC1clXSBCj5YqyqGTcohnkqIS2mGhbz0c4WO10y/3HeT5/G6eXQrEr7Guq1YHuVJzUjUdUj3CzECI+t+GCO03Ygs+t1TZLWlzTdIMn0FRolfWd9UnwZbOcWHeZryIeTCdqZurdilG9Wb3sDoTu1vKhU68V+MHFfiBJWULn9ZzjLsnojp3OKugOVMy2fu5I6HznqQHGc128/FRHT/PK3jNPfp/uxR925J0H2QJMdse4H7eBOklSjd7KD2dq6zO296qkFa/tUk0zclKMw70GcnqPYFEjbvy2U/nILlcTVRCx57rdCKTOy0SOynx83PscRqi69Fbvq8+PeWozFhJZh5vIs89ZJl70DlhpDlhKQxYSZR9wP/+8Qn+BFT4+JoqfHI1/+8fxztXrv72ykf3djY/v6H+D8h74mfi5+ISrH0fi89h/DfFEXD6o/iH+Lf4z+4fdv+++8/df1HTd84pzE9F4Wfv3f8CkBdnaA==</latexit> min P hP, Ci + "hP,

    log(P)i ; P1 = a, P>1 = b P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="RqWkRE9CIjMjObST2AkmUS4W5LE=">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</latexit> u = a e f " <latexit sha1_base64="4wWqrwnygPsMAQ147XZbuuj8mv8=">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</latexit> v = b e g " <latexit sha1_base64="p5G7QlcGnhjkJKMCZIVSTiuhwsM=">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</latexit> P = ef g C " <latexit sha1_base64="25V0hq5UE1QfPxJlglCNn15x6so=">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</latexit> max f,g hf, ai + hg, bi "hef g C " , a ⌦ bi <latexit sha1_base64="BLi59MvBY5fhzqFB7MAo7sx64wU=">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</latexit> min" a (h) , " log P i e hi " ai <latexit sha1_base64="Q9IpPPNIvcb93F+WFgUp8u4fKEk=">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</latexit> gj min" a (C·,j f) <latexit sha1_base64="w0rZ3TRvJWb0y4y6bE4a4nLn5Wk=">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</latexit> fi min" b (Ci,· g) u a Kv <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">AABEPHictVxfbxu5EWeu/y7uv1z72Je9+nLIFbnUTgO0wKHAJbLj+KwkSiQ7uTslwUpaKUpWWmVXkpPojH6Bfpq+tmg/R9/70KIo+tbnzgzJJVfi7nDdNIRtLsXfzHCWHM4MqfRm8Tib7+z89cJ73/r2d777vfcvbn3/Bz/80Y8vffCTkyxZpP3ouJ/ESfq4F2ZRPJ5Gx/PxPI4ez9IonPTi6FHvZQM/f7SM0mycTDvzN7PoySQcTcfDcT+cQ9OzSx93F42gG0fDeZimyWmw1R2mYX+11Q0bW2fw5yjoLqH27NL2zrUd+hdsVnZVZVuof63kgw9/J7piIBLRFwsxEZGYijnUYxGKDMrXYlfsiBm0PREraEuhNqbPI3EmtgC7gF4R9Aih9SX8HsHT16p1Cs9IMyN0H7jE8JMCMhCXAZNAvxTqyC2gzxdEGVvLaK+IJsr2Bv72FK0JtM7Fc2jlcLqnLw7HMhdD8RsawxjGNKMWHF1fUVmQVlDywBrVHCjMoA3rA/g8hXqfkFrPAWEyGjvqNqTP/049sRWf+6rvQvyDpLwMJRBtNfokpxCKJdEP6G0u4DMpTwycR0AhUmPE2inpekKjn0L/FbTfg3JGNa2THpQVtZ5VIhtQXMgGizyA4kIesMgmFBeyySJbUFzIlkIiNiWdu/FtKC58m+X8AIoL+YBFPoTiQj5kkSdQXMgTFvkVFBfyKxZ5G4oLeZtFHkFxIY9YZAeKC9lhkcdQXMhjFrkPxYXcV8jylZpCSYjOmFmVN6Fe5IGWIoaWm6x8t8g6urC3PNZ0vwTLr+o9+OvG7nnoNCrB7nvMu2EJlp95B2Aj3VjeFt2h3cSFvcNiD2EGuLGHLPYL8aIE+4XHSntZguXXWhP6ubG89b0LT27sXRZ7D2puLL9H3YcWN/a+x44xK8G2WOwD8aoE62P10xIsb/fbYFfcWH6f6kB/N9bHmi5KsLw9PQEPxo3ld6tH0OrGPmKxj8XrEuxjFvslWHc39kuPHfZtCVbvsVu0g4zIH4lgxVZRC/NVibUZUAsZ/nG+t8TkG/egncOMcsyIMBMWcZAjDjwRzRzR9JYry+1oRv4uz6WdI9qeiF6+N2FtzvYf5P2xFnsg9nLE3hqiyiPFd63HsiTvQrdwyHm+c2HNZ0xJbr+xFqn5UG15NeJ+ASHn9nOa+VcpWsIICjVVRe15vsdLZEDPVYhTit70KDUPHjfPrYKNes2ieg5Uj0W9caDesKiFA7VgUUsHasmizMq3cV2PGWD0j+9iRU9yBkgfubwE4BXchF3nDqzRAOZPC7zAh9RyH/62KfbmSpVkGM3jPolZjicFS5xCbSW2od1EhXsUX8e0wiKQTPa8r2J8fMLcxkqtOWmFz/KdPMgzJv50xiTPKKeD3mJA66kenSNqOSPvTtbq4e/k617X6uH3SeNn5MXLWj38XEk/P4fsHYXtnAPbhtU0U9o39bo0ZP5F0tD1Ldp10eLiW52oOYP0Xtekf6jezOE53kuDalI/pl6PRmaNLyuMrw4No+fM0nM9Kug9Sa9X14LaI5mquNfU68qQ0C46VXKYp7pvBvsM1JvR9Xo0WuBxNSjmXln1urN3lo/G1OvROBEy73lGnryu16MxomepD1OvRwOzLaGK8029rmVHDcjY2dTrWvUpZYExByTnvGwxXlFKftJCURuTf1CdrbF9/s19DHM2T/MYoZqS8W3L6fTyvaxaIu0vRGDV5jXlQP9iYflgRRorcZ2Nr6QM88L+vknH7PGo+SZoMYDVL88AuJx5DBLqnARa7xgo7rJRV3FkGnedxeEsGa6huqp1znqLhq/MGhXbnlErF5eZ0Ro9dsleZzT3ZuQTNkmznB6apW+4jCKnoWZBQzy9Orp7q9ZrUfs7LG62hpjlM61PJ0LyJK06TnVpvW3p+LI65ZlDkWc+Zv5itnmorA3GPAnZIpSliqfdT+eR7DbcV68Kk+OWnwX0RtFeLclqjOlEKmOjUJ0tlt74ip4N7WM6k0MekkYf3mOgqMyEPDXDLDrm0wOyqLa95XijvnSGTtYzsrraHlejRxZ65EDXj3EasGPcg1oHYoZjeOp4RDlbua4S0ngqPs1PRxN6g9URfVywkJqGtDdRwUJWRdnPC1ROAY2zQUbp/jTW6Wh8d4MSH/W75DGxa9HyX6aTW32+HdIcL5/N5ZmYAXG9TlwDWjXyVFc+rXOQEqycn1wn/7V6lMivDke0oRzXpxZnqZcpnfhHFMHOyDOOabVxq6PY285PrX+iObWEPjvH0+yELGRA9i+A/SmhORnQj313QJ+gS4sQk430sTvj3Ltx+Tpjdo4ZP24s5K0GM98ismUL4q/p2qsro7koIwa5D5ytzW2tkyb5ghFxTZV1N2u7evdBpLknYc8SSdHMlSvE/xP6rX/0PNnemBGoYXwDmbJ1rveRUMyCOgppl6+2QbqvLeVHuQxPldRm/zMyfVSQbI8iLpQHd+sBcO7Ts+SFsyQlubONPnIfrcrmIuXZmh5xtEOK4qXdH6kdGOW+SrvkNq25Ls2SEcyCeR5F6L5cFnmdbzWvInU/2tn/hbrRdVFrSDEQJoMrNcTl9yOK1mwpY5jVcv6+pNXk1nq61quaz5Tm4sRay99A64fwW8utn/3o9ApW4RbNAUnBPBmNyJZgo4cfr1sFXnpmalrm2fAzc1L3slvOE19L62Zi7GVtKi2aNa9V1kLXz0PjhUXjhacOO3TWaLSo27UlesbGFh11WunLrw63Tg3KC5Yy75Fp1NhDSjuW8qM6YKnyMb5GvWVp7bC0Qlit9mmAveZ9kO61vr66v8l390DcJt+mTx6YjF8GtErH5HPp1upITVJAzjeUfbVXf5dakHuPLChSlvc4ccXIU6c+lbNc0o/VzpaQnTcWQd9bOlV9tI3tUv1XG8gJrYmM1qVG3KAekZLfliNYs0jXLJ8joMx/SD6V9DuqY2a7t3knQcGfMPGmXFWGl4wUpqR/LvN2uBG9Hlrxa0Ax4UJ51z2gVf8NIwWJ0ZkEt2eZ0RvCXU6eJEiPtkf2c9NOyVO8qSXRNZJ6JX7rYWNk1Gvmuj239Ij12H4BPVHr5q27evD8Ym+OHL/znOiFtKtNlI+6Wns+H61Q7XLF5yo9LNb4Gn0sqI8dWZgor4jpis+8uUiJ6nGRGB8u9UZRR/56kteRWZ5O+VLWvTXlYqZB2pjnFC9x90AR4fLurji9uU+YcfQ26PUIa1OTLRwlzMYlKj9gW1rMSl3c2Idk68XK3Si2dqKynUJTt3cLY7+lhYzI+sWCy9nI3rbs3UKUwmdhJIW+kDd6y+JDm+ZnUPB3IFzRoebokztsg397UzTE/ju4DfFK1WVGM6AWtAWDtdg7VOMs9qjW0SuLuk3fh4M/jzHompN+TDtpXdklZV5ym7o//VOyAqmIWOlNz/pjsLnwI9nkVGc8Y7Js/GjGQn8Xp+5YNAefkRS5+POR5xrcKIZCf6ep3hg0dX4ERQ51eOh7DH7v3PSuz8vmVK2vTS6+POQuoE9cNA5P/spjFdPPx0Kl1ht59xzQOgwrqOvd4n8dh+ZjONXn5csto++avfB467JfpDKy6A/XXzOGm89sLufozzPJR2e8JTc/6fcFtd5UYo3m3dNHf9TMAc1rJWQelJdO4u1ZZOT1pYLnAi4ZEvFv8ZcL/LcRXuU0yuSoQ0mfU5RT0z14avobl67R6c98ZDJ0ymQqUjNxRJtuxDbEobgNP43cA6x7O1R+l1L+Raz7+7MDaB2S9dBZdJk56FJbRNkPc4o2oGdzf7ZMYrzLK+/2dqAFz8Kb1Ir3fO9Rf7zr2ymMrfwbJHKt3xWJGBQikvXTPbOuejCC4smbzAHp7/kGdJdeZrHkzbOJx9mivj+1LtGKPuFvFvRK8T1Lyj7N1Zk6q8eTA7xhH+b5oUD8ktpCZedxz+U4t0o5t9Y4Z6SdIofX1mfVd7PKuDQsLoM8d7ZU/RKKs815XnVudK+Ui7yDXo0fVeBHlpRt0v5LioRTUZ3NW1TQXCiZ7BPWqdCZSKkHjDPD/H1XR7bLCl5Lj/EflaKPLEkPQJYe5b8DOmFLiV6sdLNP0subjtWZ1DsV0urvUUqa5q6jmQf61mJ1lj5W805mLvT/RrCi9YC7qb6ZyGVPohI6PboRGBEleUeSOzfg5eGl8ZGFo7JgJVl4fHt36SHL0oPOkJFmyFIYsZKoFfzs0vbu+v+PsVk5uX5td+fa7oMb25/fUv93xvviZ+Ln4grsG78Wn8MMbYlj4PR78QfxR/Gnxp8bf2v8s/Ev2fW9CwrzU1H41/jPfwFvpyg7</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> <latexit sha1_base64="6C5gMXFVRFZSm5qyVFBDrcjtTLs=">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</latexit> v b K>u <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="c65tFjuRWb0VgfFjoHmUj+uQL6Q=">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</latexit> <latexit sha1_base64="ySEGuNJeVDyX6N3+2KPVAAJYz3s=">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</latexit> Unstable for small ". <latexit sha1_base64="N/nHsDlRIfQFA2EhhORPhvClxU8=">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</latexit> min" a (h ) = min" a (h) <latexit sha1_base64="C9A2FrBh9lOjOdGM+SI2uRkFCtI=">AABFOXictVzNlxO5ERebr83ki02OufTuQB7kETLMkmz27dv3FsYwzDLAgD0Duxh43Xbb09B2G7dtPrxzzl+Ta3LIIX9Hjrltcskh/0BKVVJLbau71BNCv5lRy/pVlUpSqaokE03SJJ9tbf39zHvf+e73vv+D93+48aMf/+SnPzv7wc+P8mw+7cWHvSzNpo+iMI/TZBwfzpJZGj+aTONwFKXxw+jFjvz84SKe5kk27szeTOIno3A4TgZJL5xB1bOzHx7mcXCu24/TWRh8HnRHyfjC8cVzQTYNumk/m+Ubz85ubl3ewn/BeuGKKmwK9e8g++AjIbqiLzLRE3MxErEYixmUUxGKHJ7H4orYEhOoeyKWUDeFUoKfx+JEbAB2Dq1iaBFC7Qv4PYS3x6p2DO+SZo7oHnBJ4WcKyECcB0wG7aZQltwC/HyOlGVtFe0l0pSyvYG/kaI1gtqZOIZaDqdb+uJkX2ZiIP6AfUigTxOskb3rKSpz1IqUPLB6NQMKE6iT5T58PoVyD5FazwFicuy71G2In3+LLWWtfO+ptnPxT5TyPDyBaKveZwWFUCyQfoCjOYfPSJ4UOA+BQqz6KEuvUNcj7P0Y2i+h/i48J1jSOongWWLtSS1yBx4XcodF7sLjQu6yyH14XMh9FnkAjwt5oJASO0Wdu/FteFz4Nsv5Pjwu5H0W+QAeF/IBizyCx4U8YpFfw+NCfs0ib8LjQt5kkbfhcSFvs8gOPC5kh0UewuNCHrLIG/C4kDcUsnqlTuHJkE7CrMprUC7zkJYihZprrHzX0Tq6sNc91nSvAsuv6hb8dWNbHjqNK7A3PObdoALLz7xdsJFuLG+LbuFu4sLeYrF7MAPc2D0W+6V4XoH90mOlvajA8mttH9q5sbz1vQNvbuwdFnsXSm4sv0fdgxo39p7HjjGpwB6w2PviZQXWx+pPK7C83W+DXXFj+X2qA+3dWB9rOq/A8vb0CDwYN5bfrR5CrRv7kMU+Eq8rsI9Y7Fdg3d3Yrzx22LcVWL3HbuAOMkR/JIYVW0ctLFalLE2AWsjwT4u9JUXfOIJ6DjMsMEPEjFjEboHY9UTsF4h9b7nywo7m6O/yXNoFou2JiIq9SZZmbPt+0V6WUg9Eq0C0VhB1Hqkca92XBXoXuoZDzoqdS5Z8+pQV9luWYjUf6i2vRtwrIWhuH+PMv4TRkoygpKbqqB0XezwhA3yvQ7zC6E33UvPgcbPCKtio1ywqcqAiFvXGgXrDouYO1JxFLRyoBYsyK9/GdT1mgNG/HIslvtEMIB+5+gnAK7gGu84tWKMBzJ8D8AIfYM09+NvG2Jt76iST0bzcJ2WW40nJEk+htBSbUG+iwhbG1ymusBgko5b3VIwv32RuY6nWHFnhk2InD4qMiT+dBOUZFnSktxjgempG5zbWnKB3R6Vm+FvFutelZvgbqPET9OKp1Aw/U9LPTiF7R2E7p8C2YTVNlPZNuSkNyr8QDV3ewF1XWlw5qiM1ZyS91w3p76mR2TvFuOxgifRjys1o5Fb/8lL/mtAwes4tPTejIr0n8np1KWjck7GKe025qQwZ7qJjJYd5azoysk1fjYwuN6NxAB7XDsbcS6vcdPZOit6YcjMaR4LynifoyetyMxpDfCd9mHIzGjLbEqo435SbWnapAYqdTbmpVR9jFljmgGjOU43xiqboJ80VtQT9g/psje3zr+9jMmfztIgR6ikZ37aaTlTsZfUSaX8hBqs2ayiH9C/mlg9WprEU22x8RTLMSvv7Oh2zx0vN74MWA1j9dAbA5cxTkFDnJKT1ToHiFTbqKvdM47ZZnJwlgxVUV9XOWG/R8KWsUbnuGdZycZnprdFjF+11jnNvgj7hPmqW08N+5QhXUeQ0tF/SEE+vie7eqvVa1v4Wi5usICbFTOvhiRCdpNXHqS6tty0dn1enPDN46MzHzF+ZbR4oayNjngxtkZSljqfdTueR7Dq5r14SJsdNnwU4otJeLdBqJHgilbNRqM4Wkze+xHdD+xDP5CQPotGDcQwUlYmgUzOZRZf59AAtqm1vOd5SXzpDR+Ucra62x/XooYUeOtDNY5wd2DHuQqkDMcMhvHU8opyNQlcZanwqflOcjmY4gvURfVqykJoG2Zu4ZCHrouzjEpVXgJazgaJ0fxqrdDS+u0aJj/pd8pjYtWz5z+PJrT7fDnGOV8/m6kxMH7luI9cAVw2d6tLbKgeSYOn8ZBv91/peSn5NOEobynF9anEmvYzxxD/GCHaCnnGKq41bHeXWdn5q9RPN6UDos3N5mp2hhQzQ/gWwP2U4JwP8se8O6BN0sggp2kgfu5MU3o3L10nYOWb8uETQrQYz32K0ZXPkr+naqyvHuUgRA+0DJytzW+tkH33BGLlOlXU3a7t+95FIc0/CniVE0cyVC8j/Iv7WP3qebK7NCKlhOQK5snWu8cgwZpE6CnGXr7dBuq0t5blChqdKarP/GZnOlSRrYcQl5ZG7dR849/CdeMlZMkW587U2tI/WZXMl5cmKHmVvBxjFk90fqh1Yyn0Jd8lNXHNdnCVDmAWzIorQbbks8irfel5l6n608/8LdaPrstYkxUCYDC5piMvvxxit2VKmMKtp/r7A1eTW+nSlVT2fMc7FkbWWv4HaD+G3llu/+9GJSlbhOs4BomDejEaoJlhr4cfreomXnpmalnk3/Myc1K3smtPE12TdTIy9aEzlAGfNa5W10OXT0Hhu0XjuqcMOnjUaLep6bYmesbFFR51W+vJrwq3TgPKcpcx7ZBqVeEhpx1J+VPssVT7G16i3LK0tllYIq9U+DbDXvA/SvdZXV/c3xe4eiJvo2/TQA6P4pY+rNEGfS9fWR2pEQXK+quyrvfq7WCO5R2hBJWW6xylXDJ069fA5KST9ldrZMrTzxiLoe0uvVBttY7tY/ngNOcI1keO61Iir2CJW8ttyBCsW6bLlcwSY+Q/RpyK/oz5mtlubMQlK/oSJN2lVGV4UKYxR/1zmbW8tet2z4tcAY8K58q4joNV8hCUFwuhMgtuzzHGE5C5HJwnk0UZoP9ftFJ3ijS2JLqPUS/G5h42hqNfMdXtu6R7rvv0aWkqtm1F3teD5pd4cOX6nOdELcVcbKR91ufJ+Olqh2uXK73V6mK/wNfqYYxs7sjBRXhnTFZ95cyGJmnEhjA+XZr1oIn8zyZvITKdTvpR1a025nGkgG3OM8RJ3D1QiXN7dBac3d5HpR7RGL0KsTY1qOEoyG5ep/IBtaWVWKliJkOx6bk9Krf2oar8wPOxdw9hxspQxWsFUcLkbam33oVuKVvhsDFHoCbrZWxUn2jQ/g0f+DoQrStQcfXKIbfBzr4kdceMd3Ip4qcqU2QywRtqE/koMHqp+llvU6+ilRd2m78PBn0cCuuakT3BHbSo7UeYlt6n703+F1mAqYlZ607J5H2wufE/WOTXpT4IWju9NIvR3cpr2RXPw6UmZiz8fOt/gejEQ+rtNzfqgqfM9KHNowkPfZ/Abc9O6OS+bU72+1rn48qB9QJ+8aJw8AayOWUw7Hws1tUbk3XOQ1mFQQ13vFv9rPzQfw6k5L19uOX7n7LnHqFO7WGVmpV/cfM0Ybj6zuZqjP8+s6J3xmtz8yP8LGo1UZvXm3dOXfqmZA5rXUlA+lJeO8PYsMvL6UpHnAy4ZMvFv8bcz/LcSXhY0quRoQkmfV1RT0y14avqbl67e6c98ZDJ0qmQqUzPxRBtvxu6IPXETfnYKD7DpLVH6TiX9lVj392j7UDtA66Gz6ZRB6GJdjFkQc5rWx3dzj7ZKYnmnl+74dqBGnonvY62873sX28s7v51S36q/SUJr/Y7IRL8Umaye8pl1FUEPyidwlAvS3/cN8E49ZbPoBtrI44yR7lFRpKS//bxERB/jwlVJl4jQs6WOcuSkHOGdpLiCdlTqWw9n+ESd9MtzB3k/PyyyS4H4LdaFaneQOzUn1YFDqseYGYhQ/1sQof1OXIK/l1TZLenBmqQ5jkFZotfWZ/U3wU6c88J8m/E85sF0pm6h2mUY1ZvTw/pMbKvxWA9UL+spDyso14/1sKTBNo7xC4zWp6I+4zhX/FxU50pe+xR4LHS2lLQnY+CwmFX1UfeihtfCQze3K9G3LUl3QZYIc/QBngJOkV6qdHMDpafbmPXZ3ls10urvehJNcx/TzB59s7L+JCFVs7V6HtHtSS7DE1fQsWcN3ePk7pgkTkr8qp543KEIPXrL99WnpxyVOSvJ3OP7ywsPWRYedAaMNAOWwpCVhCwE/Z8hn+K/gAqfXFWFT68U/2fI0fblK7+//PH97c0vrqv/PeR98UvxkbgAO+Yn4guY/wfiEDj9UfxJ/Fn8pfXX1j9a37b+RU3fO6MwvxClf63//BeTFFfE</latexit> Use = min(h) or . . . <latexit sha1_base64="O4e8JO+tB9/QdCOVHdfvByFjJCQ=">AABFWXictVzvchPJER8u/4jzj8t9zJfNGVJcijjGR3K5XKXqwDbGh8ECyYY7BJRWWomFtVbsSsKg8/PkMfIE+ZpUKi+QfMorpKd7ZmdWmt2edQhbtmdH8+vu6Znp6e4ZEU6SOJ9ubv7jwgff+e73vv+Diz9c+9GPf/LTn1368OfHeTrL+tFRP03S7HHYy6MkHkdH03iaRI8nWdQ7CZPoUfhqW37+aB5leZyOO9O3k+jpSW80jodxvzeFqueXbnan0SngFq0snaR5LGvP/hgMZlk8HgXxNMqwYR5c7g53gm46SWZ50B1BMYleB93tyxvPL61vbmziv2C1cF0V1oX610o//FiIrhiIVPTFTJyISIzFFMqJ6IkcnifiutgUE6h7KhZQl0Epxs8jcSbWADuDVhG06EHtK/g9grcnqnYM75Jmjug+cEngJwNkIK4AJoV2GZQltwA/nyFlWVtFe4E0pWxv4W+oaJ1A7VS8gFoOp1v64mRfpmIo/oB9iKFPE6yRvesrKjPUipQ8sHo1BQoTqJPlAXyeQbmPSK3nADE59l3qtoef/wtbylr53ldtZ+LfKOUVeALRVr1PCwo9MUf6AY7mDD4jeRLgPAIKkeqjLL1BXZ9g78fQfgH19+E5w5LWSQjPAmvPapHb8LiQ2yxyDx4Xco9FHsDjQh6wyBY8LmRLISU2Q5278W14XPg2y/kBPC7kAxb5EB4X8iGLPIbHhTxmkd/A40J+wyJvw+NC3maRd+FxIe+yyA48LmSHRR7B40IeschdeFzIXYWsXqkZPCnSiZlVeRPKZR7SUiRQc5OV7xZaRxf2lsea7ldg+VW9A3/d2B0PnUYV2F2PeTeswPIzbw9spBvL26I7uJu4sHdY7D7MADd2n8V+JV5WYL/yWGmvKrD8WjuAdm4sb33vwZsbe4/F3oeSG8vvUYdQ48YeeuwYkwpsi8U+EK8rsD5WP6vA8na/DXbFjeX3qQ60d2N9rOmsAsvb02PwYNxYfrd6BLVu7CMW+1icVmAfs9ivwbq7sV977LDvKrB6j13DHWSE/kgEK7aOWq9YlbI0AWo9hn9S7C0J+sYh1HOYUYEZIeaERewViD1PxEGBOPCWKy/saI7+Ls+lXSDanoiw2Jtkacq2HxTtZSnxQOwUiJ0lRJ1HKsda92WO3oWu4ZDTYueSJZ8+pYX9lqVIzYd6y6sRhyUEze0XOPOvYbQkIyipqTpqL4o9npABvtch3mD0pnupefC4aWEVbNQpiwodqJBFvXWg3rKomQM1Y1FzB2rOoszKt3Fdjxlg9C/HYoFvNAPIR65+AvAKbsKucwfWaADzpwVe4EOsOYS/bYy9uadOMhnNy31SZjmelixxBqWFWId6ExXuYHyd4AqLQDJqeahifPkmcxsLtebICp8VO3lQZEz86cQoz6igI73FANdTMzp3seYMvTsqNcPfKda9LjXD76LGz9CLp1Iz/FRJPz2H7B2F7ZwD24bVNFHaN+WmNCj/QjR0eQ13XWlx5aieqDkj6Z02pL+vRmb/HOOyjSXSjyk3o5Fb/ctL/WtCw+g5t/TcjIr0nsjr1aWgcU/GKu415aYypLiLjpUc5q3pyMg2AzUyutyMRgs8rm2MuRdWuensnRS9MeVmNI4F5T3P0JPX5WY0RvhO+jDlZjRktqWn4nxTbmrZpQYodjblplZ9jFlgmQOiOU81xivK0E+aKWox+gf12Rrb51/dx2TO5lkRI9RTMr5tNZ2w2MvqJdL+QgRWbdpQDulfzCwfrExjIbbY+IpkmJb291U6Zo+Xmj8ALQaw+ukMgMuZJyChzklI650Axets1FXumcZtsTg5S4ZLqK6qnbLeouFLWaNy3XOs5eIy01ujxy7a6xzn3gR9wgPULKeHg8oRrqLIaeigpCGeXhPdvVPrtaz9TRY3WUJMipnWxxMhOkmrj1NdWm9bOr6iTnmm8NCZj5m/Mts8VNZGxjwp2iIpSx1Pu53OI9l1cl+9JkyOmz4LcESlvZqj1YjxRCpno1CdLSZvfIHvhvYRnslJHkSjD+MYKCoTQadmMosu8+kBWlTb3nK8pb50ho7KOVpdbY/r0SMLPXKgm8c427Bj3IdSB2KGI3jreEQ5a4WuUtR4Jn5TnI6mOIL1EX1SspCaBtmbqGQh66LsFyUqbwAtZwNF6f40lulofHeFEh/1u+QxsWvZ8l/Bk1t9vt3DOV49m6szMQPkuoVcA1w1dKpLb8scSIKF85Mt9F/reyn5NeEobSjH9ZnFmfQyxhP/CCPYCXrGCa42bnWUW9v5qeVPNKeW0Gfn8jQ7RQsZoP0LYH9KcU4G+GPfHdAn6GQRErSRPnYnLrwbl68Ts3PM+HGxoFsNZr5FaMtmyF/TtVdXjnORIgbaB86W5rbWyQH6ghFyzZR1N2u7fveRSHNPwp4lRNHMlavI/xP8rX/0PFlfmRFSw3IEcmXrXOORYswiddTDXb7eBum2tpSXCxmeKanN/mdkulySbAcjLimP3K0HwLmP78RLzpIM5c5X2tA+WpfNlZQnS3qUvR1iFE92f6R2YCn3Ndwl13HNdXGWjGAWTIsoQrflssjLfOt5lan70c7/L9SNrstakxQDYTK4pCEuvx9htGZLmcCspvn7CleTW+vZUqt6PmOciyfWWv4Wan8Jv7Xc+t2PTliyCrdwDhAF82Y0QjXBSgs/XrdKvPTM1LTMu+Fn5qRuZdecJ74m62Zi7HljKi2cNacqa6HL56Hx0qLx0lOHHTxrNFrU9doSPWdji446rfTl14RbpwHlGUuZ98g0KvaQ0o6l/KgOWKp8jK9R71hamyytHqxW+zTAXvM+SPdaX17d3xa7eyBuo2/TRw+M4pcBrtIYfS5dWx+pEQXJ+Yayr/bq72KN5B6iBZWU6R6nXDF06tTH56yQ9FdqZ0vRzhuLoO8tvVFttI3tYvnTFeQJrokc16VG3MAWkZLfliNYskgbls8RYOa/hz4V+R31MbPd2oxJUPInTLxJq8rwokhhjPrnMm/7K9HrvhW/BhgTzpR3HQKt5iMsKRBGZxLcnmWOIyR3OTpJII82RPu5aqfoFG9sSbSBUi/EnzxsDEW9Zq7bc0v3WPft19BSat2MuqsFzy/x5sjxO8+JXg93tRPloy6W3s9Hq6d2ufJ7nR5mS3yNPmbYxo4sTJRXxnTFF95cSKJmXAjjw6VZL5rI30zyJjLT6ZQvZd1aUy5nGsjGvMB4ibsHKhEu7+6q05v7hOlHuEIvRKxNjWo4SjIbl6r8gG1pZVYqWIqQ7HpuT0qs/ahqvzA87F3D2HGylBFawURwuRtqbfehW4pW+GwMUegLutlbFSfaNL+AR/4OhCtK1Bx9coht8HNvim2x+x5uRbxWZcpsBlgjbcJgKQbvqX6WW9Tr6LVF3abvw8GfRwy65qSPcUdtKjtR5iW3qfvTf4PWIBMRK71p2bwPNhe+J6ucmvQnRgvH9yYW+js5TfuiOfj0pMzFnw+db3C9GAr93aZmfdDU+R6UOTThoe8z+I25ad2cl82pXl+rXHx50D6gT140Tp4AVscspp2PhcqsEXn/HKR1GNZQ17vF/9oPzcdwas7Ll1uO3zl76THq1C5SmVnpFzdfM4abz2yu5ujPMy16Z7wmNz/y/4JGI5VavXn/9KVfauaA5rUQlA/lpSO8PYuMvL5U5PmAS4ZU/Ef85QL/rYTXBY0qOZpQ0ucV1dR0C56a/ualq3f6Mx+ZDJ0qmcrUTDzRxpux22Jf3Iaf7cIDbHpLlL5TSX8l1v092gHUDtF66Gw6ZRC6WBdhFsScpg3w3dyjrZJY3umlO74dqJFn4gdYK+/73sf28s5vp9S36m+S0Fq/J1IxKEUmy6d8Zl2F0IPyCRzlgvT3fQO8U0/ZLLqBduJxxkj3qChS0t9+XiBigHHhsqQLROjZUkc5dFIO8U5SVEE7LPWtjzN8ok765bmDvJ/fK7JLgfgt1vXU7iB3ak6qlkOqJ5gZCFH/mxCh/U5cg7/XVNktaWtF0hzHoCzRqfVZ/U2wM+e8MN9mvIJ5MJ2pm6t2KUb15vSwPhO703ish6qX9ZRHFZTrx3pU0mAbx/gVRuuZqM84zhQ/F9WZktc+BR4LnS0l7ckYuFfMqvqoe17Da+6hm7uV6LuWpHsgS4g5+gBPATOklyjd7KL0dBuzPtt7p0Za/V1PomnuY5rZo29W1p8kJGq2Vs8juj3JZXiiCjr2rKF7nNwdk9hJiV/VE487FD2P3vJ99ekpR2XGSjLz+P7y3EOWuQedISPNkKUwYiUhC7GG/2fI5/gvoMJnN1Th8+vF/xlyvLVx/fcbnz7YWv/ylvrfQy6KX4iPxVXYMT8TX8L8b4kj4PRn8VfxN/H3nX/uXti9uLtGTT+4oDAfidK/3Y/+CxTCYlo=</latexit> Proposition: during iterations f g 6 C. <latexit sha1_base64="Gw4i0oRx6uE/LFBTzG8TF/RbeSQ=">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</latexit> fi min" b (Ci,· g fi) + fi <latexit sha1_base64="Xc32W1J5RDMUD/vcXqJpO6IeZBc=">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</latexit> gj min" a (C·,j f gj) + gj
  33. d H is a distance on the set of rays

    ! u . ! u 0 ! u = {ru ; r > 0} dH (u,u 0 ) Hilbert’s projective metric: Hilbert Projective Metric d H (u, u0) def. = || log(u) log(u0)||V <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="lPDySfIzpsrXcAezq2VptIsiosA=">AABE0nictVxfbxu5EWeuf+7qXtvcc1/26kuRK9LUzl3RAocCTWzH8cVJnEh2chcnwa60VpSstYpWUv7o/FygD0WBfqB+jn6AAu1Tv0LnD7nkStwdrpt6YYtL8TcznCWHM0Ouk3E2LKYbG/+48MH3vv+DH3740Y/Wfvzx2k9++rOLHx8V+WzSSw97eZZPHiVxkWbDUXo4HU6z9NF4ksanSZY+TF5u4fcP5+mkGOaj7vTtOH1yGg9Gw5NhL55C1cGzi+sbVzfoJ1otbOrCutI/+Sef/lMdq77KVU/N1KlK1UhNoZypWBVwPVabakONoe6JWkDdBEpD+j5VZ2oNsDNolUKLGGpfwt8B3D3WtSO4R5oFoXvAJYPfCSAjdQkwObSbQBm5RfT9jChjbR3tBdFE2d7CZ6JpnULtVD2HWglnWobisC9TdaJ+T30YQp/GVIO962kqM9IKSh45vZoChTHUYbkP30+g3COk0XNEmIL6jrqN6ft/UUusxfuebjtT/yYpL8EVqY7ufV5SiNWc6Ef0NGfwHcuTAecBUEh1H7H0mnR9Sr0fQfsF1N+F64xKRicJXAuqPWtEbsHlQ26JyF24fMhdEbkPlw+5LyIP4PIhDzQSsRPSuR/fgcuH74ic78PlQ94XkQ/g8iEfiMgjuHzIIxH5LVw+5Lci8iZcPuRNEXkbLh/ytojswuVDdkXkIVw+5KGI3IHLh9zRyPqZOoErJzpDYVZeh3KVB1qKDGqui/LdIOvow94ImNO9Gqw8q7fh04/dDtBpWoPdCRh3JzVYeeTtgo30Y2VbdItWEx/2lojdgxHgx+6J2K/Vixrs1wEz7WUNVp5r+9DOj5Wt7x2482PviNi7UPJj5TXqHtT4sfcCVoxxDfZAxN5Xr2qwIVZ/UoOV7X4H7IofK69TXWjvx4ZY01kNVranR+DB+LHyavUQav3YhyL2kXpTg30kYr8B6+7HfhOwwr6rwZo1do1WkAH5IynM2CZqcTkrsTQGarHAPyvXlox84wTqJcygxAwIcyoidkvEbiBiv0TsB8tVlHa0IH9X5tIpEZ1ARFKuTViaiu37ZXssZQGI7RKxvYRo8kjxWZu+zMm7MDUSclquXFgK6VNe2m8spXo8NFteg7hXQfDYfk4j/wpFSxhBoaaaqD0v13hGRnTfhHhN0ZvppeEh46alVXBRb0RU4kElIuqtB/VWRM08qJmImntQcxFlZ76LOw4YAVb/+CwWdMcjgH3k+isCr+A6rDq3YI5GMH4OwAt8QDX34LNDsbd0NUmG0Tyuk5jleFKxxBMoLdQ61NuocJvi64xmWAqScct7OsbHO8xtLPScYyt8Vq7kUZkxCaczJHkGJR30FiOaT+3o3KaaM/LuuNQOf6uc96bUDr9DGj8jL55L7fBTLf30HLJ3NbZ7DmwHZtNYa9+W29Lg/AvTMOU1WnXR4uJTPdVjBum9aUl/Tz+ZvXM8ly0qsX5suR2NwulfUelfGxpWz4Wj53ZU0Htir9eUotY9Gem415bbypDTKjrScti7tk8G2/T1kzHldjQOwOPaoph74ZTbjt5x2RtbbkfjSHHe84w8eVNuR2NA96wPW25HA7MtsY7zbbmtZUcNcOxsy22t+oiywJgD4jHPNdYrmpCfNNPUhuQfNGdrXJ9/dR3DnM3TMkZopmR923o6SbmWNUtk/IUUrNq0pRzoX8wcH6xKY6GuifEVyzCtrO+rdOwaj5rfBy1GMPt5D0DKmWcgoclJoPXOgOKmGHVVe2Zw10QcjpKTJdSxrp2K3qLly1mjat0zqpXiMttbq8djstcFjb0x+YT7pFlJD/u1T7iOoqSh/YqGZHptdPdOz9eq9jdE3HgJMS5HWo92hHgnrTlO9Wm94+j4kt7lmcLFez52/GK2+URbG4x5crJFKEsTT7edySO5dbiuXlE2x83fRfRE0V7NyWoMaUeqEKNQky1mb3xB95b2Ie3JIQ+m0YPnGGkqY8W7ZphFx3x6RBbVtbcSb9SXydBxuSCra+xxM3rgoAcedPsYZwtWjLtQ6kLMcAh33YAoZ63UVU4an6hfl7ujOT3B5og+q1hIQ4PtTVqxkE1R9vMKldeAxtHAUXo4jWU6Bn+8QkmO+n3y2Ni1avkv0c6t2d+OaYzXj+b6TEyfuF4jrhHNGt7V5btlDizBwvvNNfJfm3uJ/NpwRBsqcX3qcGa9jGjHP6UIdkyecUazTZod1dZufmr5G8PpQJm9c9zNzslCRmT/IlifchqTEf26ZwfMDjpbhIxsZIjdGZbejc/XGYpjzPpxQ8WnGux4S8mWzYi/oevOroLGIkcMvA6cLY1to5N98gVT4jrR1t3O7ebVB5H2nIQ7SpiiHSuXif/n9Nf8mnGyvjIiUMP4BApt63zPI6eYBXUU0yrfbINMW1fKz0oZnmqp7fpnZfqsItk2RVwoD67WfeDco3vmhaNkQnIXK214HW3K5iLl8ZIesbcnFMWz3R/oFRjlvkKr5DrNuWMaJQMYBdMyijBtpSzyMt9mXlXqYbSL/wt1q+uq1pBipGwGlzUk5fdTitZcKTMY1Tx+X9Js8mt9stSqmc+IxuKpM5e/g9pP4a+R29yH0UkqVuEGjQGmYO+sRrgmWmkRxutGhZcZmYaWvbf87Jg0rdya88TXbN1sjD1vTeWARs0bnbUw5fPQeOHQeBGowy7tNVotmnpjiZ6JsUVX71aG8mvDrduC8kykLHtkBjUMkNKNpcKo9kWqcoxvUO9EWhsirRhmq7sb4M75EKR/ri/P7u/K1T1SN8m36ZEHxvFLn2bpkHwuU9scqTEF5Pyltq/u7D+mGuSekAVFynyOE2cM7zr16DorJf2lXtlysvPWIphzS691G2Njj6n8xQrylOZEQfPSIL6kFqmW35UjWrJIVx2fI6LMf0w+FfsdzTGz29o+k6jiT9h4k2eV5cWRwoj0L2Xe9lai1z0nfo0oJpxp7zoBWu2fMFJgjMkk+D3Lgp4QrnK8k8AebUL2c9VO8S7eyJHoKkm9UH8IsDEc9dqx7o4t02PTt19BS9S6feq+FjK/LJijxO88O3oxrWqn2kddLN2fj1asV7nqfZMeZkt8rT5m1MaNLGyUV8Ucq6+CubBE7bgwJoRLu160kb+d5G1k5t2pUMqmtaFczTSwjXlO8ZJ0DhQRPu/usteb+1zoR7JCLyGsS41rJEqYjct1fsC1tJiVipYiJLdeWpMyZz2qWy8sD3fVsHacLWVKVjBTUu6GW7t9OK5EK3I2hin0FJ/srYsTXZpfwYV/I+WLEg3HkBxiB/zc62pL7byHUxGvdJkzmxHVoE3oL8Xgse5ntUWzjl451F36IRzCeQxB15L0Q1pR28rOlGXJXerh9F+TNZioVJTetmzfB5eL3JNVTm36MyQLJ/dmqMw7OW37YjiE9KTKJZwP729IvThR5t2mdn0w1OUeVDm04WHOM4Q9c9u6PS+XU7O+VrmE8uB1wOy8GBzuANbHLLZdiIWaOE/k/XNA63DSQN2sFv9rPwwfy6k9r1BuBb1z9iLgqXO7VGdm0S9uP2cst5DRXM8xnGde9s56TX5+7P9FrZ5U7vTm/dNHv9SOAcNroTgfKkvHeHcUWXlDqeD+gE+GXP1H/f2C/FbCq5JGnRxtKJn9inpqpoVMzbx56eud+S5EJkunTqYqNRtPdOhk7JbaUzfhd6v0ANueEuV3KvkTsf73aPtQe0LWw2TTOYNwTHUpZUHsblqf7u052jqJ8Uwvn/HtQg3uie9TLZ73vUvt8cxvt9K3+jdJeK7fUbnqVyKT5V0+O68S6EF1B45zQeZ934jO1HM2i0+gnQbsMfI5Ko6UzNvPC0L0KS5clnRBCDNamignXsoJnUlKa2gnlb71aISP9U4/7jvg+fy4zC5F6jdUF+vVAVdqSaoDj1SPKTOQkP43IEL7rboCn1d02S/pwYqkBT2DqkRvnO+aT4KdeceFfZvxEuXBTKZurtvlFNXb3cPmTOx2LRc+8d6MHzTgB46UHXpaLynunqjm3OGsgeZMy+Tu546UyXuyHjCajcvx0Rw/zxt4zQP6f7sWfduRdBdkSSjbHtF+3oToZVo3OyQ9n6tsztveapDWvLXJNO3JSjsOzBnJ5j2BTI+7+tnP5yClXE1aQ8ed63wiUzotMvRSkufnOOA0RBzQW7mvIT2VqMxESWYBbyLPA2SZB9A5EaQ5ESkMREm0fXh2cX1z+V99rBaOrl3d3Li6eX9DfaR+rn6hLsOS9zv1Rxj2B+oQGPTVn9XftuPtP23/hf9JyAcX9H8L+URVfrb/+l+5CzzU</latexit> <latexit sha1_base64="kjLt9T/o5MJdKUlDAPK9cugqcrQ=">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</latexit> <latexit sha1_base64="kjLt9T/o5MJdKUlDAPK9cugqcrQ=">AABFL3ictVzrcxu3EYfTV+qmjdOv/XKp4sbuKK7kptPOZDpTW5ItxbItm5TsxLQ1fBwp2kcezZcfDP+zTvt39GunnWmm0/Zf6D6AA47E3eJUVzcScSB+u4s9YLG7wKk1SvqT6dbWXy68953vfu/7P3j/hxd/9MGPf/LhpY8+OJmks3E7Pm6nSTp+3GpO4qQ/jI+n/WkSPx6N4+aglcSPWi928PtH83g86afD+vTNKH46aPaG/W6/3ZxC1emlx53Txv7ZlcZJ3J7eTTvxYrbcdG8+vRo14peduBs1hul4sGgkaS/X+upna1WfXl2enpxe2ti6tkU/0XphWxc2lP45Sj/6+O+qoToqVW01UwMVq6GaQjlRTTWB64naVltqBHVP1QLqxlDq0/exWqqLgJ1BqxhaNKH2Bfztwd0TXTuEe6Q5IXQbuCTwOwZkpC4DJoV2Yygjt4i+nxFlrC2ivSCaKNsb+GxpWgOonaozqJVwpmUoDvsyVV31O+pDH/o0ohrsXVtTmZFWUPLI6dUUKIygDssd+H4M5TYhjZ4jwkyo76jbJn3/D2qJtXjf1m1n6luS8jJckarp3qcZhaaaE/2InuYMvmN5EuDcAwqx7iOWXpGuB9T7IbRfQP09uJZUMjppwbWg2mUpcgcuH3JHRN6Gy4e8LSIP4fIhD0XkEVw+5JFGInZMOvfja3D58DWR8wO4fMgHIvIhXD7kQxF5ApcPeSIiv4bLh/xaRN6Cy4e8JSLvwOVD3hGRdbh8yLqIPIbLhzwWkXtw+ZB7Glk8U8dwpUSnL8zKG1DO80BLkUDNDVG+m2QdfdibAXO6XYCVZ/UufPqxuwE6jQuwewHjrluAlUfebbCRfqxsi/ZpNfFh90XsAYwAP/ZAxH6pnhdgvwyYaS8KsPJcO4R2fqxsfe/CnR97V8Teg5IfK69R96HGj70fsGKMCrBHIvaBelmADbH64wKsbPdrYFf8WHmdqkN7PzbEms4KsLI9PQEPxo+VV6tHUOvHPhKxj9XrAuxjEfsVWHc/9quAFfZtAdassRdpBemRPxLDjC2j1sxmJZZGQK0p8E+ytSUh37gF9RKml2F6hBmIiNsZ4nYg4jBDHAbLNcns6IT8XZlLLUPUAhGtbG3C0lRs38naYykJQOxmiN0VRJlHis/a9GVO3oWpkZDTbOXCUkif0sx+YynW46Hc8hrE/RyCx/YZjfxNipYwgkJNlVE7y9Z4RkZ0X4Z4RdGb6aXhIeOmmVVwUa9FVMuDaomoNx7UGxE186BmImruQc1FlJ35Lq4RMAKs/vFZLOiORwD7yMVXBF7BDVh19mGORjB+jsALfEg19+GzRrG3dJVJhtE8rpOY5Xias8RjKC3UBtTbqHCX4uuEZlgMknHL+zrGxzvMbSz0nGMrvMxW8ijLmITT6ZM8vYwOeosRzadqdO5QzZK8Oy5Vw+9n896UquH3SONL8uK5VA0/1dJPzyF7XWPr58DWYDaNtPZtuSoNzr8wDVO+SKsuWlx8qgM9ZpDe64r0D/STOTjHc9mhEuvHlqvRmDj9m+T6V4WG1fPE0XM1Kug9sddrSlHlngx13GvLVWVIaRUdajnsXdUng206+smYcjUaR+Bx7VDMvXDKVUfvKOuNLVejcaI477kkT96Uq9Ho0T3rw5ar0cBsS1PH+bZc1bKjBjh2tuWqVn1IWWDMAfGY5xrrFY3JT5ppan3yD8qzNa7Pv76OYc7mWRYjlFOyvm0xnVa2lpVLZPyFGKzatKIc6F/MHB8sT2OhrovxFcswza3v63TsGo+aPwQtRjD7eQ9AypknIKHJSaD1ToDithh15XtmcNdFHI6S7gqqoWunordo+XLWKF93SrVSXGZ7a/XYIHs9obE3Ip/wkDQr6eGw8AkXUZQ0dJjTkEyviu7e6vma1/6WiButIEbZSGvTjhDvpJXHqT6t1xwdX9a7PFO4eM/Hjl/MNne1tcGYJyVbhLKU8XTbmTySW4fr6qayOW7+LqInivZqTlajTztSEzEKNdli9sYXdG9pH9OeHPJgGm14jpGmMlK8a4ZZdMynR2RRXXsr8UZ9mQwdlydkdY09Lkf3HHTPg64e4+zAinEPSnWIGY7hrh4Q5VzMdJWSxsfqs2x3NKUnWB7RJzkLaWiwvYlzFrIsyj7LUXkFaBwNHKWH01ilY/CNNUpy1O+Tx8auect/mXZuzf52k8Z48WguzsR0iOt14hrRrOFdXb5b5cASLLzfXCf/tbyXyK8KR7ShEtdnDmfWy5B2/GOKYEfkGSc026TZkW/t5qdWvzGcjpTZO8fd7JQsZET2L4L1KaUxGdGve3bA7KCzRUjIRobYnX7m3fh8nb44xqwf11d8qsGOt5hs2Yz4G7ru7JrQWOSIgdeB5crYNjo5JF8wJq5jbd3t3C5ffRBpz0m4o4Qp2rFyhfhfpb/m14yTjbURgRrGJzDRts73PFKKWVBHTVrly22QaetK+UkmwzMttV3/rEyf5CTbpYgL5cHVugOc23TPvHCUjEnuyVobXkfLsrlIebSiR+xtl6J4tvs9vQKj3Ju0Sm7QnGvQKOnBKJhmUYRpK2WRV/mW88pTD6M9+b9Qt7rOaw0pRspmcFlDUn4/pmjNlTKBUc3j9wXNJr/WxyutyvkMaSwOnLn8DdR+DH+N3OY+jE4rZxVu0hhgCvbOaoRrorUWYbxu5niZkWlo2XvLz45J08qtOU98zdbNxtjzylSOaNS81lkLUz4PjecOjeeBOqzTXqPVoqk3luhUjC3qercylF8VbvUKlGciZdkjM6h+gJRuLBVGtSNSlWN8g3or0toSaTVhtrq7Ae6cD0H65/rq7P4mW90jdYt8mzZ5YBy/dGiW9snnMrXlkRpTQM6fa/vqzv4G1SD3FllQpMznOHHG8K5Tm65lJukv9MqWkp23FsGcW3ql2xgb26Dyr9eQA5oTE5qXBvE5tYi1/K4c0YpFuub4HBFl/pvkU7HfUR4zu63tM4ly/oSNN3lWWV4cKQxJ/1Lm7WAtej1w4teIYsKZ9q5bQKv6E0YKjDGZBL9nOaEnhKsc7ySwR9si+7lup3gXb+hIdI2kXqjfB9gYjnrtWHfHlumx6dsvoSVq3T51XwuZXxLMUeJ3nh29Jq1qA+2jLlbuz0erqVe5/H2ZHmYrfK0+ZtTGjSxslJfHNNQXwVxYompcGBPCpVovqshfTfIqMvPuVChl09pQzmca2MacUbwknQNFhM+7u+L15q4K/Wit0WsR1qXGNRIlzMalOj/gWlrMSkUrEZJbL61JibMeFa0Xloe7alg7zpYyJiuYKCl3w63dPjRy0YqcjWEKbcUne4viRJfmF3Dh30j5okTDMSSHWAM/94baUXvv4FTES13mzGZENWgTOisxeFP3M9+iXEcvHeou/RAO4Tz6oGtJ+j6tqFVlZ8qy5C71cPqvyBqMVSxKb1tW74PLRe7JOqcq/emThZN701fmnZyqfTEcQnqS5xLOh/c3pF50lXm3qVofDHW5B3kOVXiY8wxhz9y2rs7L5VSur3UuoTx4HTA7LwaHO4DFMYttF2Khxs4Tefcc0Dp0S6ib1eJ/7YfhYzlV5xXKbULvnD0PeOrcLtaZWfSLq88Zyy1kNBdzDOeZZr2zXpOfH/t/UaUnlTq9eff00S+1Y8DwWijOh8rSMd4dRVbeUCq4P+CTIVX/UX++IL+V8DKjUSRHFUpmv6KYmmkhUzNvXvp6Z74LkcnSKZIpT83GEzU6GbujDtQt+N3JPMCqp0T5nUr+RKz/PdoO1HbJephsOmcQGlQXUxbE7qZ16N6eoy2SGM/08hnfOtTgnvgh1eJ533vUHs/81nN9K36ThOf6XZWqTi4yWd3ls/OqBT3I78BxLsi87xvRmXrOZvEJtEHAHiOfo+JIybz9vCBEh+LCVUkXhDCjpYxyy0u5RWeS4gLarVzf2jTCR3qnH/cd8Hx+M8suRepXVNfUqwOu1JJURx6pnlBmoEX634II7TdqEz43ddkv6dGapBN6BnmJXjvflZ8EW3rHhX2b8TLlwUymbq7bpRTV293D8kzsbiEXPvFeju+V4HuOlDV6Wi8o7h6r8tzhrITmTMvk7ucOlcl7sh4wmm1m46M8fp6X8JoH9P9OIfqOI+ltkKVF2faI9vPGRC/Rutkj6flcZXnedr9EWvPWJtO0JyvtODBnJMv3BBI97opnP5+DlHI1cQEdd67ziUzptEjfS0men6OA0xDNgN7KfQ3pqURlJkoyC3gTeR4gyzyATleQpitS6ImSaPtwemlje/V/fawXTq5f2966tv1gS72vfqZ+rq7Akvdb9QcY9kfqGBj8Sf1N/Uv9e/ePu3/d/Zb/T8h7F/Q/DPmpyv3s/vO/buxhlg==</latexit> <latexit sha1_base64="dDNRweU8wrZATtOIzVt4hFeXaes=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">AABFOnictVzrbxy3EafTV+q+nPZjv2yquLEDxZVcFy0QFIitkyXFsi1bJ9mJzxbusXc6e+/2fA/5cbn/rGj/jn4tWqBB0fZL/4DOg1xy77g7XNX1QhKXy9/McJYczgy5bo2S/mS6sfHnC+9969vf+e733v/+xR/88Ec//smlD356PEln43Z81E6TdPy41ZzESX8YH0370yR+PBrHzUEriR+1Xmzh80dn8XjST4f16ZtR/HTQ7A373X67OYWqk0uPOyeN3dMrjeO4Pb2bduL5bLHu3nx8NWrELztxN2oM0/Fg3kjSXq711U9Xqj6+ujg5Prm0tnFtg/5Fq4VNXVhT+t9B+sGHf1MN1VGpaquZGqhYDdUUyolqqglcT9Sm2lAjqHuq5lA3hlKfnsdqoS4CdgatYmjRhNoX8LsHd0907RDukeaE0G3gksDPGJCRugyYFNqNoYzcIno+I8pYW0R7TjRRtjfwt6VpDaB2qk6hVsKZlqE47MtUddXvqA996NOIarB3bU1lRlpBySOnV1OgMII6LHfg+RjKbUIaPUeEmVDfUbdNev53aom1eN/WbWfqG5LyMlyROtS9TzMKTXVG9CN6mzN4xvIkwLkHFGLdRyy9Il0PqPdDaD+H+ntwLahkdNKCa061i1LkFlw+5JaI3IHLh9wRkftw+ZD7IvIALh/yQCMROyad+/GHcPnwhyLnB3D5kA9E5EO4fMiHIvIYLh/yWER+BZcP+ZWIvA2XD3lbRN6By4e8IyLrcPmQdRF5BJcPeSQit+HyIbc1snimjuFKiU5fmJU3oZzngZYigZqbony3yDr6sLcC5nS7ACvP6hr89WNrATqNC7DbAeOuW4CVR94O2Eg/VrZFu7Sa+LC7InYPRoAfuydiv1DPC7BfBMy0FwVYea7tQzs/Vra+d+HOj70rYu9ByY+V16j7UOPH3g9YMUYF2AMR+0C9LMCGWP1xAVa2+4dgV/xYeZ2qQ3s/NsSazgqwsj09Bg/Gj5VXq0dQ68c+ErGP1esC7GMR+yVYdz/2y4AV9m0B1qyxF2kF6ZE/EsOMLaPWzGYllkZArSnwT7K1JSHfuAX1EqaXYXqEGYiInQyxE4jYzxD7wXJNMjs6IX9X5nKYIQ4DEa1sbcLSVGzfydpjKQlA1DJEbQlR5pHiuzZ9OSPvwtRIyGm2cmEppE9pZr+xFOvxUG55DeJ+DsFj+5RG/jpFSxhBoabKqJ1mazwjI7ovQ7yi6M300vCQcdPMKrio1yKq5UG1RNQbD+qNiJp5UDMRdeZBnYkoO/NdXCNgBFj947uY0x2PAPaRi68IvIKbsOrswhyNYPwcgBf4kGruw99Dir2lq0wyjOZxncQsx9OcJR5Daa7WoN5GhTWKrxOaYTFIxi3v6xgf7zC3Mddzjq3wIlvJoyxjEk6nT/L0MjroLUY0n6rRuUM1C/LuuFQNv5vNe1Oqht8mjS/Ii+dSNfxUSz89h+x1ja2fA3sIs2mktW/LVWlw/oVpmPJFWnXR4uJbHegxg/ReV6S/p9/M3jneyxaVWD+2XI3GxOnfJNe/KjSsnieOnqtRQe+JvV5Tiir3ZKjjXluuKkNKq+hQy2Hvqr4ZbNPRb8aUq9E4AI9ri2LuuVOuOnpHWW9suRqNY8V5zwV58qZcjUaP7lkftlyNBmZbmjrOt+Wqlh01wLGzLVe16kPKAmMOiMc811ivaEx+0kxT65N/UJ6tcX3+1XUMczbPshihnJL1bYvptLK1rFwi4y/EYNWmFeVA/2Lm+GB5GnN1XYyvWIZpbn1fpWPXeNT8PmgxgtnPewBSzjwBCU1OAq13AhQ3xagr3zODuy7icJR0l1ANXTsVvUXLl7NG+boTqpXiMttbq8cG2esJjb0R+YT7pFlJD/uFb7iIoqSh/ZyGZHpVdPdWz9e89jdE3GgJMcpGWpt2hHgnrTxO9Wn90NHxZb3LM4WL93zs+MVsc1dbG4x5UrJFKEsZT7edySO5dbiuriub4+ZnEb1RtFdnZDX6tCM1EaNQky1mb3xO95b2Ee3JIQ+m0Yb3GGkqI8W7ZphFx3x6RBbVtbcSb9SXydBxeUJW19jjcnTPQfc86OoxzhasGPegVIeY4Qju6gFRzsVMVylpfKw+zXZHU3qD5RF9krOQhgbbmzhnIcui7NMclVeAxtHAUXo4jWU6Bt9YoSRH/T55bOyat/yXaefW7G83aYwXj+biTEyHuF4nrhHNGt7V5btlDizB3PvkOvmv5b1EflU4og2VuD5zOLNehrTjH1MEOyLPOKHZJs2OfGs3P7X8xHA6UGbvHHezU7KQEdm/CNanlMZkRD/u2QGzg84WISEbGWJ3+pl34/N1+uIYs35cX/GpBjveYrJlM+Jv6Lqza0JjkSMGXgcWS2Pb6GSffMGYuI61dbdzu3z1QaQ9J+GOEqZox8oV4n+VfpsfM07WVkYEahjfwETbOt/7SClmQR01aZUvt0GmrSvlR5kMz7TUdv2zMn2Uk6xGERfKg6t1Bzi36Z554SgZk9yTlTa8jpZlc5HyaEmP2NsuRfFs93t6BUa512mVXKM516BR0oNRMM2iCNNWyiIv8y3nlaceRnvyf6FudZ3XGlKMlM3gsoak/H5M0ZorZQKjmsfvC5pNfq2Pl1qV8xnSWBw4c/lrqP0Qfhu5zX0YnVbOKtyiMcAU7J3VCNdEKy3CeN3K8TIj09Cy95afHZOmlVtznviarZuNsc8qUzmgUfNaZy1M+Tw0njs0ngfqsE57jVaLpt5YohMxtqjr3cpQflW41StQnomUZY/MoPoBUrqxVBjVjkhVjvEN6q1Ia0Ok1YTZ6u4GuHM+BOmf68uz++tsdY/UbfJt2uSBcfzSoVnaJ5/L1JZHakwBOd/Q9tWd/Q2qQe4tsqBImc9x4ozhXac2XYtM0l/qlS0lO28tgjm39Eq3MTa2QeVfryAHNCcmNC8N4ga1iLX8rhzRkkW65vgcEWX+m+RTsd9RHjO7re07iXL+hI03eVZZXhwpDEn/UuZtbyV63XPi14hiwpn2rltAq/obRgqMMZkEv2c5oTeEqxzvJLBH2yL7uWqneBdv6Eh0jaSeq98H2BiOeu1Yd8eW6bHp2yfQErVu37qvhcwvCeYo8TvPjl6TVrWB9lHnS/fno9XUq1z+vkwPsyW+Vh8zauNGFjbKy2Ma6rNgLixRNS6MCeFSrRdV5K8meRWZeXcqlLJpbSjnMw1sY04pXpLOgSLC591d8XpzV4V+tFbotQjrUuMaiRJm41KdH3AtLWaloqUIya2X1qTEWY+K1gvLw101rB1nSxmTFUyUlLvh1m4fGrloRc7GMIW24pO9RXGiS/MzuPB3pHxRouEYkkM8BD/3ptpS2+/gVMRLXebMZkQ1aBM6SzF4U/cz36JcRy8d6i79EA7hPPqga0n6Pq2oVWVnyrLkLvVw+q/IGoxVLEpvW1bvg8tF7skqpyr96ZOFk3vTV+abnKp9MRxCepLnEs6H9zekXnSV+bapWh8MdbkHeQ5VeJjzDGHv3LauzsvlVK6vVS6hPHgdMDsvBoc7gMUxi20XYqHGzht59xzQOnRLqJvV4n/th+FjOVXnFcptQt+cPQ9469wu1plZ9IurzxnLLWQ0F3MM55lmvbNek58f+39RpTeVOr159/TRL7VjwPCaK86HytIx3h1FVt5QKrg/4JMhVf9Wf7ogf5XwMqNRJEcVSma/opiaaSFTM19e+npnnoXIZOkUyZSnZuOJQzoZu6X21G342co8wKqnRPmbSv6LWP93tB2o7ZL1MNl0ziA0qC6mLIjdTevQvT1HWyQxnunlM751qME98X2qxfO+96g9nvmt5/pW/CUJz/W7KlWdXGSyvMtn51ULepDfgeNckPneN6Iz9ZzN4hNog4A9Rj5HxZGS+fp5TogOxYXLks4JYUZLGeWWl3KLziTFBbRbub61aYSP9E4/7jvg+fxmll2K1K+orqlXB1ypJakOPFI9ocxAi/S/ARHab9Q6/F3XZb+kByuSTugd5CV67TwrPwm28I4L+zXjZcqDmUzdmW6XUlRvdw/LM7G1Qi584r0c3yvB9xwpD+ltvaC4e6zKc4ezEpozLZO7nztUJu/JesBotpmNj/L4+ayE11lA/+8Uou84ku6ALC3Ktke0nzcmeonWzTZJz+cqy/O2uyXSmq82maY9WWnHgTkjWb4nkOhxVzz7+RyklKuJC+i4c51PZEqnRfpeSvL8HAWchmgG9Fbua0hPJSozUZJZwJfIZwGynAXQ6QrSdEUKPVESbR9OLq1tLv9fH6uF4+vXNjeubT64sfb5Lf3/gLyvfq5+oa7A2vdb9TmM/wN1BJz+qP6q/qn+VftD7S+1b2r/4KbvXdCYn6ncv9p//gs5g2N+</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> ||f||V def. = max(f) min(f) <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> 8 (u, u0) 2 (Rn +,⇤ )2 <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">AABFG3ictVxfk9tIEZ8c/47wLwePvOjYCyTHEnaXUEBdUXXJepPsZZNsYu8md3GyJdmyo0RrOZbt/PH5o1B8FB4oXigKnnjgA1AFT3wFuntmNCN7pB4tIardHY3m193Tmunp7hklGqdJPt3a+se5977y1a99/Rvvf/P8t779ne9+78IH3z/Os9mkFx/1sjSbPIrCPE6TUXw0TaZp/Gg8icPTKI0fRi928fnDeTzJk2zUmb4Zx09Ow+EoGSS9cApVJxd+0x1kkzBN8+BS9zjuTe9k/XgxW27aNz+5HHSTETR48OBk8dPNj5dPR5ef7pxc2Ni6skX/gvXCtipsCPXvMPvgw3+KruiLTPTETJyKWIzEFMqpCEUO12OxLbbEGOqeiAXUTaCU0PNYLMV5wM6gVQwtQqh9Ab+HcPdY1Y7gHmnmhO4BlxR+JoAMxEXAZNBuAmXkFtDzGVHG2iraC6KJsr2Bv5GidQq1U/EMajmcbumLw75MxUD8mvqQQJ/GVIO96ykqM9IKSh5YvZoChTHUYbkPzydQ7hFS6zkgTE59R92G9Pxf1BJr8b6n2s7Ev0nKi3AFoq16nxUUQjEn+gG9zRk8k/KkwHkIFGLVRyy9Il2fUu9H0H4B9XfhWlJJ6ySCa0G1y1rkLlwu5C6LvAmXC3mTRR7A5UIesMhDuFzIQ4VE7IR07sa34XLh2yzn+3C5kPdZ5AO4XMgHLPIYLhfymEV+AZcL+QWLvAGXC3mDRd6Gy4W8zSI7cLmQHRZ5BJcLecQi9+ByIfcUsnqmTuDKiE7CzMprUC7zQEuRQs01Vr7rZB1d2Osec7pXgeVndQv+urEtD53GFdg9j3E3qMDyI+8m2Eg3lrdFt2g1cWFvsdh9GAFu7D6L/Uw8r8B+5jHTXlRg+bl2AO3cWN763oE7N/YOi70LJTeWX6PuQY0be89jxRhXYA9Z7H3xsgLrY/UnFVje7rfBrrix/DrVgfZurI81nVVgeXt6DB6MG8uvVg+h1o19yGIfidcV2Ecs9nOw7m7s5x4r7NsKrF5jz9MKMiR/JIYZW0ctLGYllsZALWT4p8XakpJvHEE9hxkWmCFhTlnEzQJx0xNxUCAOvOXKCzuak7/Lc2kXiLYnIirWJixN2fb9oj2WUg9Eq0C0VhB1Him+a92XOXkXuoZDTouVC0s+fcoK+42lWI2HesurEfdKCDm2n9HI36RoCSMo1FQdtWfFGi+RAd3XIV5R9KZ7qXnwuGlhFWzUaxYVOVARi3rjQL1hUTMHasai5g7UnEWZmW/juh4jwOgf38WC7uQIkD5y9RWAV3ANVp1bMEcDGD+H4AU+oJp78LdNsTd31UmG0Tyuk5jleFKyxBMoLcQG1JuosEXxdUozLAbJZMt7KsbHO8xtLNSck1Z4WazkQZEx8aeTkDzDgg56iwHNp2Z0blPNkrw7WWqGv1XMe11qht8jjS/Ji5elZvipkn56Btk7Cts5A7YNs2mstG/KTWnI/IukocvnadVFi4tv9VSNGaT3uiH9ffVm9s/wXnapJPVjys1o5Fb/8lL/mtAwes4tPTejgt6T9Hp1KWjck5GKe025qQwZraIjJYe5a/pmsE1fvRldbkbjEDyuXYq5F1a56egdF70x5WY0joXMey7Jk9flZjSGdC/1YcrNaGC2JVRxvik3teyoARk7m3JTqz6iLDDmgOSYlzXGK5qQnzRT1BLyD+qzNbbPv76OYc7maREj1FMyvm01nahYy+ol0v5CDFZt2lAO9C9mlg9WprEQO2x8JWWYltb3dTpmjUfNH4AWA5j9cg+Ay5mnIKHOSaD1ToHiNht1lXumcTssDkfJYAXVVbVT1ls0fGXWqFx3QrVcXGZ6a/TYJXud09gbk094QJrl9HBQ+YarKHIaOihpiKfXRHdv1Xwta3+LxY1XEONipPVoR0jupNXHqS6tty0dX1S7PFO45J6PGb+YbR4oa4MxT0a2CGWp42m303kkuw7X1U1hctzyWUBvFO3VnKxGQjtSORuF6myx9MYXdG9oH9GeHPKQNHrwHgNFZSzkrhlm0TGfHpBFte0txxv1pTN0spyT1dX2uB49tNBDB7p5jLMLK8ZdKHUgZjiCu45HlHO+0FVGGp+InxW7oxm9wfqIPi1ZSE1D2pu4ZCHrouxnJSqvAI2jQUbp/jRW6Wh8d40SH/W75DGxa9nyX6SdW72/HdIYrx7N1ZmYPnHdIa4BzRq5qyvvVjlICRbOJzvkv9b3Evk14Yg2lOP61OIs9TKiHf+YItgxecYpzTZudpRb2/mp1Sea06HQe+e4m52RhQzI/gWwPmU0JgP6sc8O6B10aRFSspE+dicpvBuXr5OwY8z4cYmQpxrMeIvJls2Iv6Zrz66cxqKMGOQ6sFwZ21onB+QLxsR1oqy7mdv1qw8izTkJe5RIimasXCL+l+m3/tHjZGNtRKCG8Q3kyta53kdGMQvqKKRVvt4G6ba2lB8VMjxVUpv1z8j0UUmyFkVcKA+u1n3g3KN7yQtHyYTkztfayHW0LpuLlMcresTeDiiKl3Z/qFZglHuTVskNmnNdGiVDGAXTIorQbbks8irfel5l6n608/8LdaPrstaQYiBMBldqiMvvxxSt2VKmMKrl+H1Bs8mt9clKq3o+IxqLp9Zc/hJqP4TfWm5970cnKlmF6zQGJAVzZzQia4K1Fn68rpd46ZGpaZl7w8+MSd3KrjlLfC2tm4mx542pHNKoea2yFrp8FhrPLRrPPXXYob1Go0Vdry3RCRtbdNRupS+/Jtw6DSjPWMq8R6ZRiYeUdizlR7XPUuVjfI16y9LaYmmFMFvt3QB7zvsg3XN9dXZ/WazugbhBvk2PPDAZv/Rplibkc+na+khNUkDOV5V9tWd/l2qQe0QWFCnLc5w4Y+SuU4+uZSHpj9XKlpGdNxZBn1t6pdpoG9ul8i/WkKc0J3KalxpxlVrESn5bjmDFIl2xfI6AMv8h+VTS76iPme3W5p0EJX/CxJtyVhleMlIYkf65zNv+WvS6b8WvAcWEM+VdR0Cr+RtGChKjMwluzzKnN4SrnNxJkB5tRPZz3U7JXbyRJdEVknohfuthY2TUa8a6PbZ0j3XfPoaWqHXz1l0teH6pN0eO31l29EJa1U6Vj7pYuT8brVCtcuX7Oj3MVvgafcyojR1ZmCivjOmKT7y5SImacZEYHy7NetFE/maSN5FZ7k75UtatNeVypkHamGcUL3HnQBHh8u4uOb25y0w/ojV6EWFtarKGo4TZuEzlB2xLi1mpYCVCsuu5NSm11qOq9cLwsFcNY8elpYzJCqaCy93I1nYfuqVohc/GSAo9IU/2VsWJNs1P4MLfgXBFiZqjTw6xDX7uNbEr9t7BqYiXqiwzmwHVoE3or8TgoepnuUW9jl5a1G36Phz8eSSga076hFbUprJLyrzkNnV/+q/IGkxEzEpvWjbvg82F78k6pyb9ScjC8b1JhP4mp2lfNAefnpS5+POR+xtcLwZCf9vUrA+aOt+DMocmPPR5Br93blo352VzqtfXOhdfHnId0DsvGoc7gNUxi2nnY6Em1ht59xzQOgxqqOvV4n/th+ZjODXn5cstp2/Onnu8ddkuVplZ9IubzxnDzWc0V3P055kVvTNek5uf9P+CRm8qs3rz7umjX2rGgOa1EDIfyksn8fYoMvL6UsH9AZcMmfiP+MM5/quElwWNKjmaUNL7FdXUdAuemv7y0tU7/cxHJkOnSqYyNRNPtOlk7K7YFzfgZ7fwAJueEpXfVMq/iHV/R9uH2gFZD51NlxmELtXFlAUxu2l9ujfnaKskxjO98oxvB2pwT/yAavG8711qj2d+O6W+VX9JIuf6HZGJfikyWd3lM/Mqgh6Ud+BkLkh/7xvQmXqZzZIn0E499hjlOSoZKemvnxeE6FNcuCrpghB6tNRRjpyUIzqTFFfQjkp969EIH6udftx3wPP5YZFdCsTPqS5UqwOu1JxUhw6pHlNmICL9b0GE9kuxCX83Vdkt6eGapDm9g7JEr61n9SfBls5xYb5mvEh5MJ2pm6t2GUX1ZvewPhPbquQiT7zX44c1+KElZZve1guKuyeiPnc4q6E5UzLZ+7kjofOeUg8YzYbF+KiPn+c1vOYe/b9dib5tSXoTZIko2x7Qft6E6KVKN3skvTxXWZ+3vVUjrf5qU9I0JyvNONBnJOv3BFI17qpnvzwHyeVq4go69lyXJzK50yKJkxI/P8cepyFCj97yffXpKUdlxkoy8/gSee4hy9yDzoCRZsBSGLKSKPtwcmFje/X/+lgvHO9c2d66sn3/6san19X/A/K++KH4kbgEa9+vxKcw/g/FEXD6vfiT+Kv4W+t3rT+2/tz6i2z63jmF+YEo/Wv9/b/k31WI</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">AABFG3ictVxfk9tIEZ8c/47wLwePvOjYCyTHEnaXUEBdUXXJepPsZZNsYu8md3GyJdmyo0RrOZbt/PH5o1B8FB4oXigKnnjgA1AFT3wFuntmNCN7pB4tIardHY3m193Tmunp7hklGqdJPt3a+se5977y1a99/Rvvf/P8t779ne9+78IH3z/Os9mkFx/1sjSbPIrCPE6TUXw0TaZp/Gg8icPTKI0fRi928fnDeTzJk2zUmb4Zx09Ow+EoGSS9cApVJxd+0x1kkzBN8+BS9zjuTe9k/XgxW27aNz+5HHSTETR48OBk8dPNj5dPR5ef7pxc2Ni6skX/gvXCtipsCPXvMPvgw3+KruiLTPTETJyKWIzEFMqpCEUO12OxLbbEGOqeiAXUTaCU0PNYLMV5wM6gVQwtQqh9Ab+HcPdY1Y7gHmnmhO4BlxR+JoAMxEXAZNBuAmXkFtDzGVHG2iraC6KJsr2Bv5GidQq1U/EMajmcbumLw75MxUD8mvqQQJ/GVIO96ykqM9IKSh5YvZoChTHUYbkPzydQ7hFS6zkgTE59R92G9Pxf1BJr8b6n2s7Ev0nKi3AFoq16nxUUQjEn+gG9zRk8k/KkwHkIFGLVRyy9Il2fUu9H0H4B9XfhWlJJ6ySCa0G1y1rkLlwu5C6LvAmXC3mTRR7A5UIesMhDuFzIQ4VE7IR07sa34XLh2yzn+3C5kPdZ5AO4XMgHLPIYLhfymEV+AZcL+QWLvAGXC3mDRd6Gy4W8zSI7cLmQHRZ5BJcLecQi9+ByIfcUsnqmTuDKiE7CzMprUC7zQEuRQs01Vr7rZB1d2Osec7pXgeVndQv+urEtD53GFdg9j3E3qMDyI+8m2Eg3lrdFt2g1cWFvsdh9GAFu7D6L/Uw8r8B+5jHTXlRg+bl2AO3cWN763oE7N/YOi70LJTeWX6PuQY0be89jxRhXYA9Z7H3xsgLrY/UnFVje7rfBrrix/DrVgfZurI81nVVgeXt6DB6MG8uvVg+h1o19yGIfidcV2Ecs9nOw7m7s5x4r7NsKrF5jz9MKMiR/JIYZW0ctLGYllsZALWT4p8XakpJvHEE9hxkWmCFhTlnEzQJx0xNxUCAOvOXKCzuak7/Lc2kXiLYnIirWJixN2fb9oj2WUg9Eq0C0VhB1Him+a92XOXkXuoZDTouVC0s+fcoK+42lWI2HesurEfdKCDm2n9HI36RoCSMo1FQdtWfFGi+RAd3XIV5R9KZ7qXnwuGlhFWzUaxYVOVARi3rjQL1hUTMHasai5g7UnEWZmW/juh4jwOgf38WC7uQIkD5y9RWAV3ANVp1bMEcDGD+H4AU+oJp78LdNsTd31UmG0Tyuk5jleFKyxBMoLcQG1JuosEXxdUozLAbJZMt7KsbHO8xtLNSck1Z4WazkQZEx8aeTkDzDgg56iwHNp2Z0blPNkrw7WWqGv1XMe11qht8jjS/Ji5elZvipkn56Btk7Cts5A7YNs2mstG/KTWnI/IukocvnadVFi4tv9VSNGaT3uiH9ffVm9s/wXnapJPVjys1o5Fb/8lL/mtAwes4tPTejgt6T9Hp1KWjck5GKe025qQwZraIjJYe5a/pmsE1fvRldbkbjEDyuXYq5F1a56egdF70x5WY0joXMey7Jk9flZjSGdC/1YcrNaGC2JVRxvik3teyoARk7m3JTqz6iLDDmgOSYlzXGK5qQnzRT1BLyD+qzNbbPv76OYc7maREj1FMyvm01nahYy+ol0v5CDFZt2lAO9C9mlg9WprEQO2x8JWWYltb3dTpmjUfNH4AWA5j9cg+Ay5mnIKHOSaD1ToHiNht1lXumcTssDkfJYAXVVbVT1ls0fGXWqFx3QrVcXGZ6a/TYJXud09gbk094QJrl9HBQ+YarKHIaOihpiKfXRHdv1Xwta3+LxY1XEONipPVoR0jupNXHqS6tty0dX1S7PFO45J6PGb+YbR4oa4MxT0a2CGWp42m303kkuw7X1U1hctzyWUBvFO3VnKxGQjtSORuF6myx9MYXdG9oH9GeHPKQNHrwHgNFZSzkrhlm0TGfHpBFte0txxv1pTN0spyT1dX2uB49tNBDB7p5jLMLK8ZdKHUgZjiCu45HlHO+0FVGGp+InxW7oxm9wfqIPi1ZSE1D2pu4ZCHrouxnJSqvAI2jQUbp/jRW6Wh8d40SH/W75DGxa9nyX6SdW72/HdIYrx7N1ZmYPnHdIa4BzRq5qyvvVjlICRbOJzvkv9b3Evk14Yg2lOP61OIs9TKiHf+YItgxecYpzTZudpRb2/mp1Sea06HQe+e4m52RhQzI/gWwPmU0JgP6sc8O6B10aRFSspE+dicpvBuXr5OwY8z4cYmQpxrMeIvJls2Iv6Zrz66cxqKMGOQ6sFwZ21onB+QLxsR1oqy7mdv1qw8izTkJe5RIimasXCL+l+m3/tHjZGNtRKCG8Q3kyta53kdGMQvqKKRVvt4G6ba2lB8VMjxVUpv1z8j0UUmyFkVcKA+u1n3g3KN7yQtHyYTkztfayHW0LpuLlMcresTeDiiKl3Z/qFZglHuTVskNmnNdGiVDGAXTIorQbbks8irfel5l6n608/8LdaPrstaQYiBMBldqiMvvxxSt2VKmMKrl+H1Bs8mt9clKq3o+IxqLp9Zc/hJqP4TfWm5970cnKlmF6zQGJAVzZzQia4K1Fn68rpd46ZGpaZl7w8+MSd3KrjlLfC2tm4mx542pHNKoea2yFrp8FhrPLRrPPXXYob1Go0Vdry3RCRtbdNRupS+/Jtw6DSjPWMq8R6ZRiYeUdizlR7XPUuVjfI16y9LaYmmFMFvt3QB7zvsg3XN9dXZ/WazugbhBvk2PPDAZv/Rplibkc+na+khNUkDOV5V9tWd/l2qQe0QWFCnLc5w4Y+SuU4+uZSHpj9XKlpGdNxZBn1t6pdpoG9ul8i/WkKc0J3KalxpxlVrESn5bjmDFIl2xfI6AMv8h+VTS76iPme3W5p0EJX/CxJtyVhleMlIYkf65zNv+WvS6b8WvAcWEM+VdR0Cr+RtGChKjMwluzzKnN4SrnNxJkB5tRPZz3U7JXbyRJdEVknohfuthY2TUa8a6PbZ0j3XfPoaWqHXz1l0teH6pN0eO31l29EJa1U6Vj7pYuT8brVCtcuX7Oj3MVvgafcyojR1ZmCivjOmKT7y5SImacZEYHy7NetFE/maSN5FZ7k75UtatNeVypkHamGcUL3HnQBHh8u4uOb25y0w/ojV6EWFtarKGo4TZuEzlB2xLi1mpYCVCsuu5NSm11qOq9cLwsFcNY8elpYzJCqaCy93I1nYfuqVohc/GSAo9IU/2VsWJNs1P4MLfgXBFiZqjTw6xDX7uNbEr9t7BqYiXqiwzmwHVoE3or8TgoepnuUW9jl5a1G36Phz8eSSga076hFbUprJLyrzkNnV/+q/IGkxEzEpvWjbvg82F78k6pyb9ScjC8b1JhP4mp2lfNAefnpS5+POR+xtcLwZCf9vUrA+aOt+DMocmPPR5Br93blo352VzqtfXOhdfHnId0DsvGoc7gNUxi2nnY6Em1ht59xzQOgxqqOvV4n/th+ZjODXn5cstp2/Onnu8ddkuVplZ9IubzxnDzWc0V3P055kVvTNek5uf9P+CRm8qs3rz7umjX2rGgOa1EDIfyksn8fYoMvL6UsH9AZcMmfiP+MM5/quElwWNKjmaUNL7FdXUdAuemv7y0tU7/cxHJkOnSqYyNRNPtOlk7K7YFzfgZ7fwAJueEpXfVMq/iHV/R9uH2gFZD51NlxmELtXFlAUxu2l9ujfnaKskxjO98oxvB2pwT/yAavG8711qj2d+O6W+VX9JIuf6HZGJfikyWd3lM/Mqgh6Ud+BkLkh/7xvQmXqZzZIn0E499hjlOSoZKemvnxeE6FNcuCrpghB6tNRRjpyUIzqTFFfQjkp969EIH6udftx3wPP5YZFdCsTPqS5UqwOu1JxUhw6pHlNmICL9b0GE9kuxCX83Vdkt6eGapDm9g7JEr61n9SfBls5xYb5mvEh5MJ2pm6t2GUX1ZvewPhPbquQiT7zX44c1+KElZZve1guKuyeiPnc4q6E5UzLZ+7kjofOeUg8YzYbF+KiPn+c1vOYe/b9dib5tSXoTZIko2x7Qft6E6KVKN3skvTxXWZ+3vVUjrf5qU9I0JyvNONBnJOv3BFI17qpnvzwHyeVq4go69lyXJzK50yKJkxI/P8cepyFCj97yffXpKUdlxkoy8/gSee4hy9yDzoCRZsBSGLKSKPtwcmFje/X/+lgvHO9c2d66sn3/6san19X/A/K++KH4kbgEa9+vxKcw/g/FEXD6vfiT+Kv4W+t3rT+2/tz6i2z63jmF+YEo/Wv9/b/k31WI</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit>
  34. d H is a distance on the set of rays

    ! u . ! u 0 ! u = {ru ; r > 0} dH (u,u 0 ) Hilbert’s projective metric: This can be shows to be a distance on the projective cone R+,ú/ ≥, where u ≥ uÕ means that ÷s > 0, u = suÕ (the vector are equal up to rescaling, hence the naming “projective”). This means that dH satisfies the triangular inequality and dH (u, uÕ) = 0 if and only if u ≥ uÕ. This is a projective version of Hilbert’s original distance on bounded open convex sets Hilbert [1895]. The projec- tive cone Rn +,ú/ ≥ is a complete metric space for this distance. It was introduced independently by [Birkho , 1957] and [Samel- son et al., 1957]. They proved the following fundamental theorem, which shows that a positive matrix is a strict contraction on the cone of positive vectors. Theorem 1.1. Let K œ Rn◊m +,ú , then for (v, vÕ) œ (Rm +,ú )2 dH (Kv, KvÕ) Æ ⁄(K)dH (v, vÕ) where Y _ ] _ [ ⁄(K) def. = Ô ÷(K) ≠ 1 Ô ÷(K)+1 < 1 ÷(K) def. = max i,j,k,¸ Ki,k Kj,¸ Kj,k Ki,¸ . Remark 1.11 (Perron-Frobenius). A typical application of Theo- rem 1.1 is to provide a quantitative proof of Perron-Frobenius theorem, which, as explained in Remark 1.13, is linked to a lo- cal linearization of Sinkhorn’s iterates. A matrix K œ Rn◊n + with K€1n = 1n maps n into n. If furthermore K > 0, then ac- cording to Theorem 1.1, it is strictly contractant for the met- Birkho↵’s contraction theorem: R2 + KR2 + K 2 R 2 + K K Hilbert Projective Metric d H (u, u0) def. = || log(u) log(u0)||V <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">AABFOnictVzrbxy3EafTV+q+nPZjv2yquLEDxZVcFy0QFIitkyXFsi1bJ9mJzxbusXc6e+/2fA/5cbn/rGj/jn4tWqBB0fZL/4DOg1xy77g7XNX1QhKXy9/McJYczgy5bo2S/mS6sfHnC+9969vf+e733v/+xR/88Ec//smlD356PEln43Z81E6TdPy41ZzESX8YH0370yR+PBrHzUEriR+1Xmzh80dn8XjST4f16ZtR/HTQ7A373X67OYWqk0uPOyeN3dMrjeO4Pb2bduL5bLHu3nx8NWrELztxN2oM0/Fg3kjSXq711U9Xqj6+ujg5Prm0tnFtg/5Fq4VNXVhT+t9B+sGHf1MN1VGpaquZGqhYDdUUyolqqglcT9Sm2lAjqHuq5lA3hlKfnsdqoS4CdgatYmjRhNoX8LsHd0907RDukeaE0G3gksDPGJCRugyYFNqNoYzcIno+I8pYW0R7TjRRtjfwt6VpDaB2qk6hVsKZlqE47MtUddXvqA996NOIarB3bU1lRlpBySOnV1OgMII6LHfg+RjKbUIaPUeEmVDfUbdNev53aom1eN/WbWfqG5LyMlyROtS9TzMKTXVG9CN6mzN4xvIkwLkHFGLdRyy9Il0PqPdDaD+H+ntwLahkdNKCa061i1LkFlw+5JaI3IHLh9wRkftw+ZD7IvIALh/yQCMROyad+/GHcPnwhyLnB3D5kA9E5EO4fMiHIvIYLh/yWER+BZcP+ZWIvA2XD3lbRN6By4e8IyLrcPmQdRF5BJcPeSQit+HyIbc1snimjuFKiU5fmJU3oZzngZYigZqbony3yDr6sLcC5nS7ACvP6hr89WNrATqNC7DbAeOuW4CVR94O2Eg/VrZFu7Sa+LC7InYPRoAfuydiv1DPC7BfBMy0FwVYea7tQzs/Vra+d+HOj70rYu9ByY+V16j7UOPH3g9YMUYF2AMR+0C9LMCGWP1xAVa2+4dgV/xYeZ2qQ3s/NsSazgqwsj09Bg/Gj5VXq0dQ68c+ErGP1esC7GMR+yVYdz/2y4AV9m0B1qyxF2kF6ZE/EsOMLaPWzGYllkZArSnwT7K1JSHfuAX1EqaXYXqEGYiInQyxE4jYzxD7wXJNMjs6IX9X5nKYIQ4DEa1sbcLSVGzfydpjKQlA1DJEbQlR5pHiuzZ9OSPvwtRIyGm2cmEppE9pZr+xFOvxUG55DeJ+DsFj+5RG/jpFSxhBoabKqJ1mazwjI7ovQ7yi6M300vCQcdPMKrio1yKq5UG1RNQbD+qNiJp5UDMRdeZBnYkoO/NdXCNgBFj947uY0x2PAPaRi68IvIKbsOrswhyNYPwcgBf4kGruw99Dir2lq0wyjOZxncQsx9OcJR5Daa7WoN5GhTWKrxOaYTFIxi3v6xgf7zC3Mddzjq3wIlvJoyxjEk6nT/L0MjroLUY0n6rRuUM1C/LuuFQNv5vNe1Oqht8mjS/Ii+dSNfxUSz89h+x1ja2fA3sIs2mktW/LVWlw/oVpmPJFWnXR4uJbHegxg/ReV6S/p9/M3jneyxaVWD+2XI3GxOnfJNe/KjSsnieOnqtRQe+JvV5Tiir3ZKjjXluuKkNKq+hQy2Hvqr4ZbNPRb8aUq9E4AI9ri2LuuVOuOnpHWW9suRqNY8V5zwV58qZcjUaP7lkftlyNBmZbmjrOt+Wqlh01wLGzLVe16kPKAmMOiMc811ivaEx+0kxT65N/UJ6tcX3+1XUMczbPshihnJL1bYvptLK1rFwi4y/EYNWmFeVA/2Lm+GB5GnN1XYyvWIZpbn1fpWPXeNT8PmgxgtnPewBSzjwBCU1OAq13AhQ3xagr3zODuy7icJR0l1ANXTsVvUXLl7NG+boTqpXiMttbq8cG2esJjb0R+YT7pFlJD/uFb7iIoqSh/ZyGZHpVdPdWz9e89jdE3GgJMcpGWpt2hHgnrTxO9Wn90NHxZb3LM4WL93zs+MVsc1dbG4x5UrJFKEsZT7edySO5dbiuriub4+ZnEb1RtFdnZDX6tCM1EaNQky1mb3xO95b2Ee3JIQ+m0Yb3GGkqI8W7ZphFx3x6RBbVtbcSb9SXydBxeUJW19jjcnTPQfc86OoxzhasGPegVIeY4Qju6gFRzsVMVylpfKw+zXZHU3qD5RF9krOQhgbbmzhnIcui7NMclVeAxtHAUXo4jWU6Bt9YoSRH/T55bOyat/yXaefW7G83aYwXj+biTEyHuF4nrhHNGt7V5btlDizB3PvkOvmv5b1EflU4og2VuD5zOLNehrTjH1MEOyLPOKHZJs2OfGs3P7X8xHA6UGbvHHezU7KQEdm/CNanlMZkRD/u2QGzg84WISEbGWJ3+pl34/N1+uIYs35cX/GpBjveYrJlM+Jv6Lqza0JjkSMGXgcWS2Pb6GSffMGYuI61dbdzu3z1QaQ9J+GOEqZox8oV4n+VfpsfM07WVkYEahjfwETbOt/7SClmQR01aZUvt0GmrSvlR5kMz7TUdv2zMn2Uk6xGERfKg6t1Bzi36Z554SgZk9yTlTa8jpZlc5HyaEmP2NsuRfFs93t6BUa512mVXKM516BR0oNRMM2iCNNWyiIv8y3nlaceRnvyf6FudZ3XGlKMlM3gsoak/H5M0ZorZQKjmsfvC5pNfq2Pl1qV8xnSWBw4c/lrqP0Qfhu5zX0YnVbOKtyiMcAU7J3VCNdEKy3CeN3K8TIj09Cy95afHZOmlVtznviarZuNsc8qUzmgUfNaZy1M+Tw0njs0ngfqsE57jVaLpt5YohMxtqjr3cpQflW41StQnomUZY/MoPoBUrqxVBjVjkhVjvEN6q1Ia0Ok1YTZ6u4GuHM+BOmf68uz++tsdY/UbfJt2uSBcfzSoVnaJ5/L1JZHakwBOd/Q9tWd/Q2qQe4tsqBImc9x4ozhXac2XYtM0l/qlS0lO28tgjm39Eq3MTa2QeVfryAHNCcmNC8N4ga1iLX8rhzRkkW65vgcEWX+m+RTsd9RHjO7re07iXL+hI03eVZZXhwpDEn/UuZtbyV63XPi14hiwpn2rltAq/obRgqMMZkEv2c5oTeEqxzvJLBH2yL7uWqneBdv6Eh0jaSeq98H2BiOeu1Yd8eW6bHp2yfQErVu37qvhcwvCeYo8TvPjl6TVrWB9lHnS/fno9XUq1z+vkwPsyW+Vh8zauNGFjbKy2Ma6rNgLixRNS6MCeFSrRdV5K8meRWZeXcqlLJpbSjnMw1sY04pXpLOgSLC591d8XpzV4V+tFbotQjrUuMaiRJm41KdH3AtLWaloqUIya2X1qTEWY+K1gvLw101rB1nSxmTFUyUlLvh1m4fGrloRc7GMIW24pO9RXGiS/MzuPB3pHxRouEYkkM8BD/3ptpS2+/gVMRLXebMZkQ1aBM6SzF4U/cz36JcRy8d6i79EA7hPPqga0n6Pq2oVWVnyrLkLvVw+q/IGoxVLEpvW1bvg8tF7skqpyr96ZOFk3vTV+abnKp9MRxCepLnEs6H9zekXnSV+bapWh8MdbkHeQ5VeJjzDGHv3LauzsvlVK6vVS6hPHgdMDsvBoc7gMUxi20XYqHGzht59xzQOnRLqJvV4n/th+FjOVXnFcptQt+cPQ9469wu1plZ9IurzxnLLWQ0F3MM55lmvbNek58f+39RpTeVOr159/TRL7VjwPCaK86HytIx3h1FVt5QKrg/4JMhVf9Wf7ogf5XwMqNRJEcVSma/opiaaSFTM19e+npnnoXIZOkUyZSnZuOJQzoZu6X21G342co8wKqnRPmbSv6LWP93tB2o7ZL1MNl0ziA0qC6mLIjdTevQvT1HWyQxnunlM751qME98X2qxfO+96g9nvmt5/pW/CUJz/W7KlWdXGSyvMtn51ULepDfgeNckPneN6Iz9ZzN4hNog4A9Rj5HxZGS+fp5TogOxYXLks4JYUZLGeWWl3KLziTFBbRbub61aYSP9E4/7jvg+fxmll2K1K+orqlXB1ypJakOPFI9ocxAi/S/ARHab9Q6/F3XZb+kByuSTugd5CV67TwrPwm28I4L+zXjZcqDmUzdmW6XUlRvdw/LM7G1Qi584r0c3yvB9xwpD+ltvaC4e6zKc4ezEpozLZO7nztUJu/JesBotpmNj/L4+ayE11lA/+8Uou84ku6ALC3Ktke0nzcmeonWzTZJz+cqy/O2uyXSmq82maY9WWnHgTkjWb4nkOhxVzz7+RyklKuJC+i4c51PZEqnRfpeSvL8HAWchmgG9Fbua0hPJSozUZJZwJfIZwGynAXQ6QrSdEUKPVESbR9OLq1tLv9fH6uF4+vXNjeubT64sfb5Lf3/gLyvfq5+oa7A2vdb9TmM/wN1BJz+qP6q/qn+VftD7S+1b2r/4KbvXdCYn6ncv9p//gs5g2N+</latexit> <latexit sha1_base64="lPDySfIzpsrXcAezq2VptIsiosA=">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</latexit> <latexit sha1_base64="kjLt9T/o5MJdKUlDAPK9cugqcrQ=">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</latexit> <latexit sha1_base64="kjLt9T/o5MJdKUlDAPK9cugqcrQ=">AABFL3ictVzrcxu3EYfTV+qmjdOv/XKp4sbuKK7kptPOZDpTW5ItxbItm5TsxLQ1fBwp2kcezZcfDP+zTvt39GunnWmm0/Zf6D6AA47E3eJUVzcScSB+u4s9YLG7wKk1SvqT6dbWXy68953vfu/7P3j/hxd/9MGPf/LhpY8+OJmks3E7Pm6nSTp+3GpO4qQ/jI+n/WkSPx6N4+aglcSPWi928PtH83g86afD+vTNKH46aPaG/W6/3ZxC1emlx53Txv7ZlcZJ3J7eTTvxYrbcdG8+vRo14peduBs1hul4sGgkaS/X+upna1WfXl2enpxe2ti6tkU/0XphWxc2lP45Sj/6+O+qoToqVW01UwMVq6GaQjlRTTWB64naVltqBHVP1QLqxlDq0/exWqqLgJ1BqxhaNKH2Bfztwd0TXTuEe6Q5IXQbuCTwOwZkpC4DJoV2Yygjt4i+nxFlrC2ivSCaKNsb+GxpWgOonaozqJVwpmUoDvsyVV31O+pDH/o0ohrsXVtTmZFWUPLI6dUUKIygDssd+H4M5TYhjZ4jwkyo76jbJn3/D2qJtXjf1m1n6luS8jJckarp3qcZhaaaE/2InuYMvmN5EuDcAwqx7iOWXpGuB9T7IbRfQP09uJZUMjppwbWg2mUpcgcuH3JHRN6Gy4e8LSIP4fIhD0XkEVw+5JFGInZMOvfja3D58DWR8wO4fMgHIvIhXD7kQxF5ApcPeSIiv4bLh/xaRN6Cy4e8JSLvwOVD3hGRdbh8yLqIPIbLhzwWkXtw+ZB7Glk8U8dwpUSnL8zKG1DO80BLkUDNDVG+m2QdfdibAXO6XYCVZ/UufPqxuwE6jQuwewHjrluAlUfebbCRfqxsi/ZpNfFh90XsAYwAP/ZAxH6pnhdgvwyYaS8KsPJcO4R2fqxsfe/CnR97V8Teg5IfK69R96HGj70fsGKMCrBHIvaBelmADbH64wKsbPdrYFf8WHmdqkN7PzbEms4KsLI9PQEPxo+VV6tHUOvHPhKxj9XrAuxjEfsVWHc/9quAFfZtAdassRdpBemRPxLDjC2j1sxmJZZGQK0p8E+ytSUh37gF9RKml2F6hBmIiNsZ4nYg4jBDHAbLNcns6IT8XZlLLUPUAhGtbG3C0lRs38naYykJQOxmiN0VRJlHis/a9GVO3oWpkZDTbOXCUkif0sx+YynW46Hc8hrE/RyCx/YZjfxNipYwgkJNlVE7y9Z4RkZ0X4Z4RdGb6aXhIeOmmVVwUa9FVMuDaomoNx7UGxE186BmImruQc1FlJ35Lq4RMAKs/vFZLOiORwD7yMVXBF7BDVh19mGORjB+jsALfEg19+GzRrG3dJVJhtE8rpOY5Xias8RjKC3UBtTbqHCX4uuEZlgMknHL+zrGxzvMbSz0nGMrvMxW8ijLmITT6ZM8vYwOeosRzadqdO5QzZK8Oy5Vw+9n896UquH3SONL8uK5VA0/1dJPzyF7XWPr58DWYDaNtPZtuSoNzr8wDVO+SKsuWlx8qgM9ZpDe64r0D/STOTjHc9mhEuvHlqvRmDj9m+T6V4WG1fPE0XM1Kug9sddrSlHlngx13GvLVWVIaRUdajnsXdUng206+smYcjUaR+Bx7VDMvXDKVUfvKOuNLVejcaI477kkT96Uq9Ho0T3rw5ar0cBsS1PH+bZc1bKjBjh2tuWqVn1IWWDMAfGY5xrrFY3JT5ppan3yD8qzNa7Pv76OYc7mWRYjlFOyvm0xnVa2lpVLZPyFGKzatKIc6F/MHB8sT2OhrovxFcswza3v63TsGo+aPwQtRjD7eQ9AypknIKHJSaD1ToDithh15XtmcNdFHI6S7gqqoWunordo+XLWKF93SrVSXGZ7a/XYIHs9obE3Ip/wkDQr6eGw8AkXUZQ0dJjTkEyviu7e6vma1/6WiButIEbZSGvTjhDvpJXHqT6t1xwdX9a7PFO4eM/Hjl/MNne1tcGYJyVbhLKU8XTbmTySW4fr6qayOW7+LqInivZqTlajTztSEzEKNdli9sYXdG9pH9OeHPJgGm14jpGmMlK8a4ZZdMynR2RRXXsr8UZ9mQwdlydkdY09Lkf3HHTPg64e4+zAinEPSnWIGY7hrh4Q5VzMdJWSxsfqs2x3NKUnWB7RJzkLaWiwvYlzFrIsyj7LUXkFaBwNHKWH01ilY/CNNUpy1O+Tx8auect/mXZuzf52k8Z48WguzsR0iOt14hrRrOFdXb5b5cASLLzfXCf/tbyXyK8KR7ShEtdnDmfWy5B2/GOKYEfkGSc026TZkW/t5qdWvzGcjpTZO8fd7JQsZET2L4L1KaUxGdGve3bA7KCzRUjIRobYnX7m3fh8nb44xqwf11d8qsGOt5hs2Yz4G7ru7JrQWOSIgdeB5crYNjo5JF8wJq5jbd3t3C5ffRBpz0m4o4Qp2rFyhfhfpb/m14yTjbURgRrGJzDRts73PFKKWVBHTVrly22QaetK+UkmwzMttV3/rEyf5CTbpYgL5cHVugOc23TPvHCUjEnuyVobXkfLsrlIebSiR+xtl6J4tvs9vQKj3Ju0Sm7QnGvQKOnBKJhmUYRpK2WRV/mW88pTD6M9+b9Qt7rOaw0pRspmcFlDUn4/pmjNlTKBUc3j9wXNJr/WxyutyvkMaSwOnLn8DdR+DH+N3OY+jE4rZxVu0hhgCvbOaoRrorUWYbxu5niZkWlo2XvLz45J08qtOU98zdbNxtjzylSOaNS81lkLUz4PjecOjeeBOqzTXqPVoqk3luhUjC3qercylF8VbvUKlGciZdkjM6h+gJRuLBVGtSNSlWN8g3or0toSaTVhtrq7Ae6cD0H65/rq7P4mW90jdYt8mzZ5YBy/dGiW9snnMrXlkRpTQM6fa/vqzv4G1SD3FllQpMznOHHG8K5Tm65lJukv9MqWkp23FsGcW3ql2xgb26Dyr9eQA5oTE5qXBvE5tYi1/K4c0YpFuub4HBFl/pvkU7HfUR4zu63tM4ly/oSNN3lWWV4cKQxJ/1Lm7WAtej1w4teIYsKZ9q5bQKv6E0YKjDGZBL9nOaEnhKsc7ySwR9si+7lup3gXb+hIdI2kXqjfB9gYjnrtWHfHlumx6dsvoSVq3T51XwuZXxLMUeJ3nh29Jq1qA+2jLlbuz0erqVe5/H2ZHmYrfK0+ZtTGjSxslJfHNNQXwVxYompcGBPCpVovqshfTfIqMvPuVChl09pQzmca2MacUbwknQNFhM+7u+L15q4K/Wit0WsR1qXGNRIlzMalOj/gWlrMSkUrEZJbL61JibMeFa0Xloe7alg7zpYyJiuYKCl3w63dPjRy0YqcjWEKbcUne4viRJfmF3Dh30j5okTDMSSHWAM/94baUXvv4FTES13mzGZENWgTOisxeFP3M9+iXEcvHeou/RAO4Tz6oGtJ+j6tqFVlZ8qy5C71cPqvyBqMVSxKb1tW74PLRe7JOqcq/emThZN701fmnZyqfTEcQnqS5xLOh/c3pF50lXm3qVofDHW5B3kOVXiY8wxhz9y2rs7L5VSur3UuoTx4HTA7LwaHO4DFMYttF2Khxs4Tefcc0Dp0S6ib1eJ/7YfhYzlV5xXKbULvnD0PeOrcLtaZWfSLq88Zyy1kNBdzDOeZZr2zXpOfH/t/UaUnlTq9eff00S+1Y8DwWijOh8rSMd4dRVbeUCq4P+CTIVX/UX++IL+V8DKjUSRHFUpmv6KYmmkhUzNvXvp6Z74LkcnSKZIpT83GEzU6GbujDtQt+N3JPMCqp0T5nUr+RKz/PdoO1HbJephsOmcQGlQXUxbE7qZ16N6eoy2SGM/08hnfOtTgnvgh1eJ533vUHs/81nN9K36ThOf6XZWqTi4yWd3ls/OqBT3I78BxLsi87xvRmXrOZvEJtEHAHiOfo+JIybz9vCBEh+LCVUkXhDCjpYxyy0u5RWeS4gLarVzf2jTCR3qnH/cd8Hx+M8suRepXVNfUqwOu1JJURx6pnlBmoEX634II7TdqEz43ddkv6dGapBN6BnmJXjvflZ8EW3rHhX2b8TLlwUymbq7bpRTV293D8kzsbiEXPvFeju+V4HuOlDV6Wi8o7h6r8tzhrITmTMvk7ucOlcl7sh4wmm1m46M8fp6X8JoH9P9OIfqOI+ltkKVF2faI9vPGRC/Rutkj6flcZXnedr9EWvPWJtO0JyvtODBnJMv3BBI97opnP5+DlHI1cQEdd67ziUzptEjfS0men6OA0xDNgN7KfQ3pqURlJkoyC3gTeR4gyzyATleQpitS6ImSaPtwemlje/V/fawXTq5f2966tv1gS72vfqZ+rq7Akvdb9QcY9kfqGBj8Sf1N/Uv9e/ePu3/d/Zb/T8h7F/Q/DPmpyv3s/vO/buxhlg==</latexit> <latexit sha1_base64="dDNRweU8wrZATtOIzVt4hFeXaes=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> <latexit sha1_base64="YX5RigRyUj3zJruhrbetrBPkcTg=">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</latexit> ||f||V def. = max(f) min(f) <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">AABFA3ictVxbcxPJFW42tw25LJs85mWIlxSkWGITUknVVqoWLGO8GDBINuwicOkyEoKRRuiGQevHVH5MKi+pVPKUyu/ID0hV8pS/kHPpnu6Reub0OMRTtnpa/Z1z+kz36XNO97g9TgbT2ebmP8598I1vfuvb3/nwu+e/9/0f/PCjCx//6Giazied+LCTJunkSbs1jZPBKD6cDWZJ/GQ8iVvDdhI/br/axu8fL+LJdJCOGrO34/jZsNUfDXqDTmsGVccXLjZH6WS47J0eH0XN+HU37kXNYevkcu/Kp83hYASfxxc2Nq9t0k+0XtjShQ2lfw7Sjy/+UzVVV6Wqo+ZqqGI1UjMoJ6qlpnA9VVtqU42h7plaQt0ESgP6Plan6jxg59AqhhYtqH0Ff/tw91TXjuAeaU4J3QEuCfxOABmpS4BJod0Eysgtou/nRBlri2gviSbK9hY+25rWEGpn6gXUSjjTMhSHfZmpnvoN9WEAfRpTDfauo6nMSSsoeeT0agYUxlCH5S58P4Fyh5BGzxFhptR31G2Lvv8XtcRavO/otnP1b5LyElyRquvepxmFlloQ/Yie5hy+Y3kS4NwHCrHuI5bekK6H1PsRtF9C/X24TqlkdNKGa0m1p6XIbbh8yG0RuQuXD7krIvfh8iH3ReQBXD7kgUYidkI69+PrcPnwdZHzQ7h8yIci8hFcPuQjEXkElw95JCK/gsuH/EpE3obLh7wtIu/C5UPeFZENuHzIhog8hMuHPBSRO3D5kDsaWTxTJ3ClRGcgzMqbUM7zQEuRQM1NUb5bZB192FsBc7pTgJVndQ0+/dhagE7jAuxOwLjrFWDlkbcLNtKPlW3RHVpNfNg7InYPRoAfuydiv1AvC7BfBMy0VwVYea7tQzs/Vra+9+DOj70nYu9DyY+V16gHUOPHPghYMcYF2AMR+1C9LsCGWP1JAVa2+3WwK36svE41oL0fG2JN5wVY2Z4egQfjx8qr1WOo9WMfi9gn6qQA+0TEfgnW3Y/9MmCFfVeANWvseVpB+uSPxDBjy6i1slmJpTFQawn8k2xtScg3bkO9hOlnmD5hhiJiN0PsBiL2M8R+sFzTzI5Oyd+VudQzRD0Q0c7WJizNxPbdrD2WkgBELUPUVhBlHik+a9OXBXkXpkZCzrKVC0shfUoz+42lWI+HcstrEA9yCB7bL2jkX6VoCSMo1FQZtRfZGs/IiO7LEG8oejO9NDxk3CyzCi7qRES1Pai2iHrrQb0VUXMPai6iFh7UQkTZme/imgEjwOofn8WS7ngEsI9cfEXgFdyEVecOzNEIxs8BeIGPqOYBfNYp9pauMskwmsd1ErMcz3KWeAKlpdqAehsV1ii+TmiGxSAZt3ygY3y8w9zGUs85tsKn2UoeZRmTcDoDkqef0UFvMaL5VI3OXao5Je+OS9Xwd7J5b0rV8Duk8VPy4rlUDT/T0s/OIHtDYxtnwNZhNo219m25Kg3OvzANUz5Pqy5aXHyqQz1mkN5JRfp7+snsneG5bFOJ9WPL1WhMnf5Nc/2rQsPqeerouRoV9J7Y6zWlqHJPRjruteWqMqS0io60HPau6pPBNl39ZEy5Go0D8Li2KeZeOuWqo3ec9caWq9E4Upz3PCVP3pSr0ejTPevDlqvRwGxLS8f5tlzVsqMGOHa25apWfURZYMwB8ZjnGusVTchPmmtqA/IPyrM1rs+/vo5hzuZ5FiOUU7K+bTGddraWlUtk/IUYrNqsohzoX8wdHyxPY6mui/EVyzDLre/rdOwaj5rfBy1GMPt5D0DKmScgoclJoPVOgOKWGHXle2Zw10UcjpLeCqqpa2eit2j5ctYoX3dMtVJcZntr9dgkez2lsTcmn3CfNCvpYb/wCRdRlDS0n9OQTK+K7t7p+ZrX/qaIG68gxtlI69COEO+klcepPq3XHR1f0rs8M7h4z8eOX8w297S1wZgnJVuEspTxdNuZPJJbh+vqVWVz3PxdRE8U7dWCrMaAdqSmYhRqssXsjS/p3tI+pD055ME0OvAcI01lrHjXDLPomE+PyKK69lbijfoyGTouT8nqGntcju476L4HXT3G2YYV4z6UGhAzHMJdIyDKOZ/pKiWNT9Sn2e5oSk+wPKJPchbS0GB7E+csZFmU/SJH5Q2gcTRwlB5OY5WOwTfXKMlRv08eG7vmLf8l2rk1+9stGuPFo7k4E9MlrteJa0Szhnd1+W6VA0uw9H5znfzX8l4ivyoc0YZKXJ87nFkvI9rxjymCHZNnnNBsk2ZHvrWbn1r9xnA6UGbvHHezU7KQEdm/CNanlMZkRL/u2QGzg84WISEbGWJ3Bpl34/N1BuIYs37cQPGpBjveYrJlc+Jv6Lqza0pjkSMGXgdOV8a20ck++YIxcZ1o627ndvnqg0h7TsIdJUzRjpXLxP8K/TW/ZpxsrI0I1DA+gam2db7nkVLMgjpq0SpfboNMW1fKTzIZnmup7fpnZfokJ1mNIi6UB1frLnDu0D3zwlEyIbmna214HS3L5iLl8Yoesbc9iuLZ7vf1CoxyX6VVcoPmXJNGSR9GwSyLIkxbKYu8yrecV556GO3p/4W61XVea0gxUjaDyxqS8vsxRWuulAmMah6/r2g2+bU+WWlVzmdEY3HozOWvofYi/DVym/swOu2cVbhFY4Ap2DurEa6J1lqE8bqV42VGpqFl7y0/OyZNK7fmLPE1WzcbYy8qUzmgUXOisxamfBYaLx0aLwN12KC9RqtFU28s0bEYWzT0bmUovyrcGhUoz0XKskdmUIMAKd1YKoxqV6Qqx/gG9U6ktSnSasFsdXcD3DkfgvTP9dXZ/XW2ukfqNvk2HfLAOH7p0iwdkM9lassjNaaAnG9o++rO/ibVIPc2WVCkzOc4ccbwrlOHrtNM0p/plS0lO28tgjm39Ea3MTa2SeVfriGHNCemNC8N4ga1iLX8rhzRikW65vgcEWX+W+RTsd9RHjO7re0ziXL+hI03eVZZXhwpjEj/UuZtby163XPi14hiwrn2rttAq/oTRgqMMZkEv2c5pSeEqxzvJLBH2yb7uW6neBdv5Eh0jaReqt8G2BiOeu1Yd8eW6bHp28+hJWrdPnVfC5lfEsxR4neWHb0WrWpD7aMuV+7PRqulV7n8fZke5it8rT7m1MaNLGyUl8c01WfBXFiialwYE8KlWi+qyF9N8ioy8+5UKGXT2lDOZxrYxrygeEk6B4oIn3d32evNXRH60V6j1yasS41rJEqYjUt1fsC1tJiVilYiJLdeWpMSZz0qWi8sD3fVsHacLWVMVjBRUu6GW7t9aOaiFTkbwxQ6ik/2FsWJLs3P4MK/kfJFiYZjSA6xDn7uTbWtdt7DqYjXusyZzYhq0CZ0V2Lwlu5nvkW5jl471F36IRzCeQxA15L0A1pRq8rOlGXJXerh9N+QNZioWJTetqzeB5eL3JN1TlX6MyALJ/dmoMw7OVX7YjiE9CTPJZwP729Ivegp825TtT4Y6nIP8hyq8DDnGcKeuW1dnZfLqVxf61xCefA6YHZeDA53AItjFtsuxEJNnCfy/jmgdeiVUDerxf/aD8PHcqrOK5TblN45exnw1LldrDOz6BdXnzOWW8hoLuYYzjPNeme9Jj8/9v+iSk8qdXrz/umjX2rHgOG1VJwPlaVjvDuKrLyhVHB/wCdDqv6j/n5OfivhdUajSI4qlMx+RTE100KmZt689PXOfBcik6VTJFOemo0n6nQydlvtqdvwu515gFVPifI7lfyJWP97tF2o7ZH1MNl0ziA0qS6mLIjdTevSvT1HWyQxnunlM74NqME98X2qxfO+96k9nvlt5PpW/CYJz/V7KlXdXGSyustn51UbepDfgeNckHnfN6Iz9ZzN4hNow4A9Rj5HxZGSeft5SYguxYWrki4JYUZLGeW2l3KbziTFBbTbub51aISP9U4/7jvg+fxWll2K1C+orqVXB1ypJakOPFI9pcxAm/S/CRHar9RV+Lyqy35JD9YkndIzyEt04nxXfhLs1Dsu7NuMlygPZjJ1C90upaje7h6WZ2JrhVz4xHs5vl+C7ztS1ulpvaK4e6LKc4fzEppzLZO7nztSJu/JesBotpWNj/L4eVHCaxHQ/7uF6LuOpLsgS5uy7RHt502IXqJ1s0PS87nK8rztnRJpzVubTNOerLTjwJyRLN8TSPS4K579fA5SytXEBXTcuc4nMqXTIgMvJXl+jgNOQ7QCeiv3NaSnEpW5KMk84E3kRYAsiwA6PUGankihL0qi7cPxhY2t1f/1sV44un5ta/Pa1sMbG5/f0v8H5EP1E/VTdRnWvl+rz2H8H6hD4PR79Uf1F/XX2u9qf6j9qfZnbvrBOY35scr91P72X3rXTHY=</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> <latexit sha1_base64="17NTOsuevlOMXPlJP6v+IKrsV6o=">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</latexit> 8 (u, u0) 2 (Rn +,⇤ )2 <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">AABFG3ictVxfk9tIEZ8c/47wLwePvOjYCyTHEnaXUEBdUXXJepPsZZNsYu8md3GyJdmyo0RrOZbt/PH5o1B8FB4oXigKnnjgA1AFT3wFuntmNCN7pB4tIardHY3m193Tmunp7hklGqdJPt3a+se5977y1a99/Rvvf/P8t779ne9+78IH3z/Os9mkFx/1sjSbPIrCPE6TUXw0TaZp/Gg8icPTKI0fRi928fnDeTzJk2zUmb4Zx09Ow+EoGSS9cApVJxd+0x1kkzBN8+BS9zjuTe9k/XgxW27aNz+5HHSTETR48OBk8dPNj5dPR5ef7pxc2Ni6skX/gvXCtipsCPXvMPvgw3+KruiLTPTETJyKWIzEFMqpCEUO12OxLbbEGOqeiAXUTaCU0PNYLMV5wM6gVQwtQqh9Ab+HcPdY1Y7gHmnmhO4BlxR+JoAMxEXAZNBuAmXkFtDzGVHG2iraC6KJsr2Bv5GidQq1U/EMajmcbumLw75MxUD8mvqQQJ/GVIO96ykqM9IKSh5YvZoChTHUYbkPzydQ7hFS6zkgTE59R92G9Pxf1BJr8b6n2s7Ev0nKi3AFoq16nxUUQjEn+gG9zRk8k/KkwHkIFGLVRyy9Il2fUu9H0H4B9XfhWlJJ6ySCa0G1y1rkLlwu5C6LvAmXC3mTRR7A5UIesMhDuFzIQ4VE7IR07sa34XLh2yzn+3C5kPdZ5AO4XMgHLPIYLhfymEV+AZcL+QWLvAGXC3mDRd6Gy4W8zSI7cLmQHRZ5BJcLecQi9+ByIfcUsnqmTuDKiE7CzMprUC7zQEuRQs01Vr7rZB1d2Osec7pXgeVndQv+urEtD53GFdg9j3E3qMDyI+8m2Eg3lrdFt2g1cWFvsdh9GAFu7D6L/Uw8r8B+5jHTXlRg+bl2AO3cWN763oE7N/YOi70LJTeWX6PuQY0be89jxRhXYA9Z7H3xsgLrY/UnFVje7rfBrrix/DrVgfZurI81nVVgeXt6DB6MG8uvVg+h1o19yGIfidcV2Ecs9nOw7m7s5x4r7NsKrF5jz9MKMiR/JIYZW0ctLGYllsZALWT4p8XakpJvHEE9hxkWmCFhTlnEzQJx0xNxUCAOvOXKCzuak7/Lc2kXiLYnIirWJixN2fb9oj2WUg9Eq0C0VhB1Him+a92XOXkXuoZDTouVC0s+fcoK+42lWI2HesurEfdKCDm2n9HI36RoCSMo1FQdtWfFGi+RAd3XIV5R9KZ7qXnwuGlhFWzUaxYVOVARi3rjQL1hUTMHasai5g7UnEWZmW/juh4jwOgf38WC7uQIkD5y9RWAV3ANVp1bMEcDGD+H4AU+oJp78LdNsTd31UmG0Tyuk5jleFKyxBMoLcQG1JuosEXxdUozLAbJZMt7KsbHO8xtLNSck1Z4WazkQZEx8aeTkDzDgg56iwHNp2Z0blPNkrw7WWqGv1XMe11qht8jjS/Ji5elZvipkn56Btk7Cts5A7YNs2mstG/KTWnI/IukocvnadVFi4tv9VSNGaT3uiH9ffVm9s/wXnapJPVjys1o5Fb/8lL/mtAwes4tPTejgt6T9Hp1KWjck5GKe025qQwZraIjJYe5a/pmsE1fvRldbkbjEDyuXYq5F1a56egdF70x5WY0joXMey7Jk9flZjSGdC/1YcrNaGC2JVRxvik3teyoARk7m3JTqz6iLDDmgOSYlzXGK5qQnzRT1BLyD+qzNbbPv76OYc7maREj1FMyvm01nahYy+ol0v5CDFZt2lAO9C9mlg9WprEQO2x8JWWYltb3dTpmjUfNH4AWA5j9cg+Ay5mnIKHOSaD1ToHiNht1lXumcTssDkfJYAXVVbVT1ls0fGXWqFx3QrVcXGZ6a/TYJXud09gbk094QJrl9HBQ+YarKHIaOihpiKfXRHdv1Xwta3+LxY1XEONipPVoR0jupNXHqS6tty0dX1S7PFO45J6PGb+YbR4oa4MxT0a2CGWp42m303kkuw7X1U1hctzyWUBvFO3VnKxGQjtSORuF6myx9MYXdG9oH9GeHPKQNHrwHgNFZSzkrhlm0TGfHpBFte0txxv1pTN0spyT1dX2uB49tNBDB7p5jLMLK8ZdKHUgZjiCu45HlHO+0FVGGp+InxW7oxm9wfqIPi1ZSE1D2pu4ZCHrouxnJSqvAI2jQUbp/jRW6Wh8d40SH/W75DGxa9nyX6SdW72/HdIYrx7N1ZmYPnHdIa4BzRq5qyvvVjlICRbOJzvkv9b3Evk14Yg2lOP61OIs9TKiHf+YItgxecYpzTZudpRb2/mp1Sea06HQe+e4m52RhQzI/gWwPmU0JgP6sc8O6B10aRFSspE+dicpvBuXr5OwY8z4cYmQpxrMeIvJls2Iv6Zrz66cxqKMGOQ6sFwZ21onB+QLxsR1oqy7mdv1qw8izTkJe5RIimasXCL+l+m3/tHjZGNtRKCG8Q3kyta53kdGMQvqKKRVvt4G6ba2lB8VMjxVUpv1z8j0UUmyFkVcKA+u1n3g3KN7yQtHyYTkztfayHW0LpuLlMcresTeDiiKl3Z/qFZglHuTVskNmnNdGiVDGAXTIorQbbks8irfel5l6n608/8LdaPrstaQYiBMBldqiMvvxxSt2VKmMKrl+H1Bs8mt9clKq3o+IxqLp9Zc/hJqP4TfWm5970cnKlmF6zQGJAVzZzQia4K1Fn68rpd46ZGpaZl7w8+MSd3KrjlLfC2tm4mx542pHNKoea2yFrp8FhrPLRrPPXXYob1Go0Vdry3RCRtbdNRupS+/Jtw6DSjPWMq8R6ZRiYeUdizlR7XPUuVjfI16y9LaYmmFMFvt3QB7zvsg3XN9dXZ/WazugbhBvk2PPDAZv/Rplibkc+na+khNUkDOV5V9tWd/l2qQe0QWFCnLc5w4Y+SuU4+uZSHpj9XKlpGdNxZBn1t6pdpoG9ul8i/WkKc0J3KalxpxlVrESn5bjmDFIl2xfI6AMv8h+VTS76iPme3W5p0EJX/CxJtyVhleMlIYkf65zNv+WvS6b8WvAcWEM+VdR0Cr+RtGChKjMwluzzKnN4SrnNxJkB5tRPZz3U7JXbyRJdEVknohfuthY2TUa8a6PbZ0j3XfPoaWqHXz1l0teH6pN0eO31l29EJa1U6Vj7pYuT8brVCtcuX7Oj3MVvgafcyojR1ZmCivjOmKT7y5SImacZEYHy7NetFE/maSN5FZ7k75UtatNeVypkHamGcUL3HnQBHh8u4uOb25y0w/ojV6EWFtarKGo4TZuEzlB2xLi1mpYCVCsuu5NSm11qOq9cLwsFcNY8elpYzJCqaCy93I1nYfuqVohc/GSAo9IU/2VsWJNs1P4MLfgXBFiZqjTw6xDX7uNbEr9t7BqYiXqiwzmwHVoE3or8TgoepnuUW9jl5a1G36Phz8eSSga076hFbUprJLyrzkNnV/+q/IGkxEzEpvWjbvg82F78k6pyb9ScjC8b1JhP4mp2lfNAefnpS5+POR+xtcLwZCf9vUrA+aOt+DMocmPPR5Br93blo352VzqtfXOhdfHnId0DsvGoc7gNUxi2nnY6Em1ht59xzQOgxqqOvV4n/th+ZjODXn5cstp2/Onnu8ddkuVplZ9IubzxnDzWc0V3P055kVvTNek5uf9P+CRm8qs3rz7umjX2rGgOa1EDIfyksn8fYoMvL6UsH9AZcMmfiP+MM5/quElwWNKjmaUNL7FdXUdAuemv7y0tU7/cxHJkOnSqYyNRNPtOlk7K7YFzfgZ7fwAJueEpXfVMq/iHV/R9uH2gFZD51NlxmELtXFlAUxu2l9ujfnaKskxjO98oxvB2pwT/yAavG8711qj2d+O6W+VX9JIuf6HZGJfikyWd3lM/Mqgh6Ud+BkLkh/7xvQmXqZzZIn0E499hjlOSoZKemvnxeE6FNcuCrpghB6tNRRjpyUIzqTFFfQjkp969EIH6udftx3wPP5YZFdCsTPqS5UqwOu1JxUhw6pHlNmICL9b0GE9kuxCX83Vdkt6eGapDm9g7JEr61n9SfBls5xYb5mvEh5MJ2pm6t2GUX1ZvewPhPbquQiT7zX44c1+KElZZve1guKuyeiPnc4q6E5UzLZ+7kjofOeUg8YzYbF+KiPn+c1vOYe/b9dib5tSXoTZIko2x7Qft6E6KVKN3skvTxXWZ+3vVUjrf5qU9I0JyvNONBnJOv3BFI17qpnvzwHyeVq4go69lyXJzK50yKJkxI/P8cepyFCj97yffXpKUdlxkoy8/gSee4hy9yDzoCRZsBSGLKSKPtwcmFje/X/+lgvHO9c2d66sn3/6san19X/A/K++KH4kbgEa9+vxKcw/g/FEXD6vfiT+Kv4W+t3rT+2/tz6i2z63jmF+YEo/Wv9/b/k31WI</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit> <latexit sha1_base64="7/Go3rU/YkDYvZ+ycph5AfUkxUY=">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</latexit>
  35. A1⌃3 = {p?} A2⌃3 A⌃3 ⌃3 p? A : ⌃k

    ! ⌃k Simplex: ⌃k = p 2 Rk + ; P i pi = 1 Stochastic matrix: A 2 Rn + , A>1k = 1k Theorem: [Perron-Frobenius] If A > 0, 9!p?, Ap? = p?. 9⇢ 2 [0, 1[, ||Akp p?|| 6 ⇢k Perron Frobenius
  36. p 3 K 3 K 2 3 { Figure 4.8:

    Evolution of K¸ 3 æ {pı} the invariant probability distribution of K€13 = 13. Theorem 4.2. One has (u ( ¸ ) , v ( ¸ ) ) æ (uı, vı) and d H (u ( ¸ ) , uı) = O(⁄(K)2 ¸), d H (v ( ¸ ) , vı) = O(⁄(K)2 ¸). One also has d H (u ( ¸ ) , uı) Æ d H (P ( ¸ ) 1 m , a) 1 ≠ ⁄(K)2 d H (v ( ¸ ) , vı) Æ d H (P ( ¸ ) ,€1 n , b) 1 ≠ ⁄(K)2 ( ¸ ) def. ( ¸ ) ( ¸ ) p 3 K 3 K 2 3 {K¸ 3} Figure 4.8: Evolution of K¸ 3 æ {pı} the invariant probability distribution of K œ K€13 = 13. Theorem 4.2. One has (u ( ¸ ) , v ( ¸ ) ) æ (uı, vı) and d H (u ( ¸ ) , uı) = O(⁄(K)2 ¸), d H (v ( ¸ ) , vı) = O(⁄(K)2 ¸). One also has d H (u ( ¸ ) , uı) Æ d H (P ( ¸ ) 1 m , a) 1 ≠ ⁄(K)2 d H (v ( ¸ ) , vı) Æ d H (P ( ¸ ) ,€1 n , b) 1 ≠ ⁄(K)2 where we denoted P ( ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ). Lastly, one has K 3 K 2 3 {K¸ 3}¸ tion of K¸ 3 æ {pı} the invariant probability distribution of K œ R3 ◊ 3 + ,ú with One has (u ( ¸ ) , v ( ¸ ) ) æ (uı, vı) and H (u ( ¸ ) , uı) = O(⁄(K)2 ¸), d H (v ( ¸ ) , vı) = O(⁄(K)2 ¸). (4.22) d H (u ( ¸ ) , uı) Æ d H (P ( ¸ ) 1 m , a) 1 ≠ ⁄(K)2 d H (v ( ¸ ) , vı) Æ d H (P ( ¸ ) ,€1 n , b) 1 ≠ ⁄(K)2 (4.23) ed P ( ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ). Lastly, one has 3 K 3 K 2 3 Figure 4.8: Evolution of K¸ 3 æ {pı} the invariant probability distr K€13 = 13. Theorem 4.2. One has (u ( ¸ ) , v ( ¸ ) ) æ (uı, vı) and d H (u ( ¸ ) , uı) = O(⁄(K)2 ¸), d H (v ( ¸ ) , vı) = O(⁄ One also has d H (u ( ¸ ) , uı) Æ d H (P ( ¸ ) 1 m , a) 1 ≠ ⁄(K)2 d H (v ( ¸ ) , vı) Æ d H (P ( ¸ ) ,€1 n , b) 1 ≠ ⁄(K)2 where we denoted P ( ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ). Lastly, one Î log(P ( ¸ ) ) ≠ log(Pı)ÎŒ Æ d H (u ( ¸ ) , uı) + d H (v where Pı is the unique solution of (4.2). igure 4.8: Evolution of K¸ 3 æ {pı} the invariant probability distribution of K œ R K€13 = 13. Theorem 4.2. One has (u ( ¸ ) , v ( ¸ ) ) æ (uı, vı) and d H (u ( ¸ ) , uı) = O(⁄(K)2 ¸), d H (v ( ¸ ) , vı) = O(⁄(K)2 ¸). One also has d H (u ( ¸ ) , uı) Æ d H (P ( ¸ ) 1 m , a) 1 ≠ ⁄(K)2 d H (v ( ¸ ) , vı) Æ d H (P ( ¸ ) ,€1 n , b) 1 ≠ ⁄(K)2 where we denoted P ( ¸ ) def. = diag(u ( ¸ ) )K diag(v ( ¸ ) ). Lastly, one has Î log(P ( ¸ ) ) ≠ log(Pı)ÎŒ Æ d H (u ( ¸ ) , uı) + d H (v ( ¸ ) , vı) where Pı is the unique solution of (4.2). Proof. One notices that for any (v, vÕ) œ (Rm + ,ú )2 , one has Sinkhorn under Hilbert’s Metric Theorem: <latexit sha1_base64="F1qx4BuKdPiz0hT2Pil8dyJYcUM=">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</latexit> <latexit sha1_base64="F1qx4BuKdPiz0hT2Pil8dyJYcUM=">AABB0nictVzbchu5EYU3t7Vzs5PHvEyidcqb8iqyslW5bKVqZUmWtaZt2aRs7y5tFy8jivaQQ3NISTZXD6m85hfymnxGviN/kDzlF9IXYIAhMdMYxTFKEgbE6W70AI3uBujuJBlms42Nf1764Fvf/s53v/fh5Svf/8EPf/Tjq9d+8iRL59NefNhLk3T6rNvJ4mQ4jg9nw1kSP5tM486om8RPu6+38fOnJ/E0G6bj1uztJH4+6gzGw6NhrzODppdXr7Vn8RngFq3jOJ3Goz+cv7y6trG+Qf+i1cotXVlT+t9Bei06VG3VV6nqqbkaqViN1QzqieqoDMrX6pbaUBNoe64W0DaF2pA+j9W5ugLYOfSKoUcHWl/D7wE8fa1bx/CMNDNC94BLAj9TQEbqOmBS6DeFOnKL6PM5UcbWMtoLoomyvYW/XU1rBK0zdQytEs70DMXhWGbqSP2OxjCEMU2oBUfX01TmpBWUPHJGNQMKE2jDeh8+n0K9R0ij54gwGY0ddduhz/9FPbEVn3u671z9m6S8DiVSTT36NKfQUSdEP6K3OYfPWJ4EOA+AQqzHiLVT0vWIRj+G/gtofwDlnGpGJ10oC2o9r0RuQ/Eht0XkHhQfck9ENqD4kA0ReQDFhzzQSMROSed+fBOKD98UOT+C4kM+EpGPofiQj0XkEyg+5BMR+RUUH/IrEXkHig95R0Teg+JD3hORLSg+ZEtEHkLxIQ9F5C4UH3JXI8tX6hRKSnSGwqrcgnqRB1qKBFq2RPluk3X0YW8HrOleCVZe1Tvw14/dCdBpXILdDZh3RyVYeebtgY30Y2VbdJd2Ex/2rojdhxngx+6L2C/UqxLsFwEr7XUJVl5rDejnx8rW9z48+bH3RewDqPmx8h71EFr82IcBO8akBHsgYh+pNyXYEKs/LcHKdr8JdsWPlfepFvT3Y0Os6bwEK9vTJ+DB+LHybvUUWv3YpyL2mTorwT4TsV+CdfdjvwzYYd+VYM0ee4V2kAH5IzGs2CpqnXxVYm0C1DoC/yTfWxLyjbvQLmEGOWZAmJGI2MsRe4GIRo5oBMuV5XY0I39X5tLMEc1ARDffm7A2E/v38/5YSwIQOzliZwlR5ZHiuzZjOSHvwrRIyFm+c2EtZExpbr+xFuv5UG15DeJhAcFz+5hm/k2KljCCQk1VUTvO93hGRvRchTil6M2M0vCQcbPcKrioMxHV9aC6IuqtB/VWRM09qLmIOvGgTkSUXfkurh0wA6z+8V0s6IlnAPvI5SUCr2ALdp27sEYjmD8H4AU+ppaH8LdJsbdUqiTDaB73ScxyPC9Y4inUFmoN2m1UuEPxdUIrLAbJuOdDHePjE+Y2FnrNsRU+z3fyKM+YhNMZkjyDnA56ixGtp3p07lHLOXl3XKuHv5uve1Orh98ljZ+TF8+1eviZln52AdlbGtu6ALYJq2mitW/rdWlw/oVpmPoV2nXR4uJbHek5g/TOatLf129m/wLvZZtqrB9br0cjc8aXFcZXh4bVc+bouR4V9J7Y6zW1qPZIxjrutfW6MqS0i461HPap7pvBPn39Zky9Ho0D8Li2KeZeOPW6s3eSj8bW69F4ojjveU6evKnXozGgZ9aHrdejgdmWjo7zbb2uZUcNcOxs63Wt+piywJgD4jnPLdYrmpKfNNfUhuQfVGdrXJ9/dR/DnM2LPEaopmR923I63Xwvq5bI+AsxWLVZTTnQv5g7PliRxkJtivEVyzAr7O+rdOwej5pvgBYjWP18BiDlzBOQ0OQk0HonQPGWGHUVR2ZwmyIOZ8nREqqtW2eit2j5ctao2PaSWqW4zI7W6rFN9jqjuTchn7BBmpX00Ch9w2UUJQ01ChqS6dXR3Tu9Xova3xBxkyXEJJ9pPToR4pO06jjVp/Wmo+Pr+pRnBoXPfOz8xWzzkbY2GPOkZItQliqebj+TR3LbcF+9qWyOmz+L6I2ivTohqzGkE6lMjEJNtpi98QU9W9qHdCaHPJhGD95jpKlMFJ+aYRYd8+kRWVTX3kq8UV8mQ8f1jKyuscfV6IGDHnjQ9WOcbdgxHkCtBTHDITy1AqKcK7muUtL4VH2Sn46m9AarI/qkYCENDbY3ccFCVkXZxwUqp4DG2cBRejiNZToG316hJEf9Pnls7Fq0/Nfp5Nacb3dojpfP5vJMTJ+4bhLXiFYNn+ry0zIHlmDh/WST/NfqUSK/OhzRhkpcXzicWS9jOvGPKYKdkGec0GqTVkext5ufWv7EcDpQ5uwcT7NTspAR2b8I9qeU5mREP+7dAXOCzhYhIRsZYneGuXfj83WG4hyzftxQ8a0GO99ismVz4m/ouqsro7nIEQPvA+dLc9vopEG+YExcp9q627Vdvfsg0t6TcGcJU7Rz5Qbx/5h+mx8zT9ZWZgRqGN9Apm2d732kFLOgjjq0y1fbINPXlfKjXIYXWmq7/1mZPipItkMRF8qDu3UfOPfomXnhLJmS3NlKH95Hq7K5SHmypEcc7RFF8Wz3B3oHRrlv0i65RmuuTbNkALNglkcRpq+URV7mW82rSD2MdvZ/oW51XdQaUoyUzeCyhqT8fkzRmitlArOa5+9rWk1+rU+XelXzGdNcHDlr+Rto/Tn8NnKb5zA63YJVuE1zgCnYJ6sRbolWeoTxul3gZWamoWWfLT87J00vt+Ui8TVbNxtjn9SmckCz5kxnLUz9IjReOTReBeqwRWeNVoum3Viil2Js0dKnlaH86nBr1aA8FynLHplBDQOkdGOpMKp9kaoc4xvUO5HWhkirA6vVPQ1w13wI0r/Wl1f3N/nuHqk75Nv0yAPj+KVPq3RIPpdprY7UmAJy/lTbV3f1t6kFuXfJgiJlvseJK4ZPnXpUznNJf6l3tpTsvLUI5t7Sqe5jbGyb6r9ZQY5oTWS0Lg3iU+oRa/ldOaIli7Tu+BwRZf475FOx31EdM7u97TuJCv6EjTd5VVleHCmMSf9S5m1/JXrdd+LXiGLCufauu0Cr/htGCowxmQS/Z5nRG8Jdjk8S2KPtkv1ctVN8ijd2JFonqRfqjwE2hqNeO9fduWVGbMb2K+iJWrdv3ddD5pcEc5T4XeREr0O72kj7qIul54vR6uhdrvhcpYf5El+rjzn1cSMLG+UVMW31WTAXlqgeF8aEcKk3ijry15O8jsx8OhVK2fQ2lIuZBrYxxxQvSfdAEeHz7m54vbmPhXF0V+h1CetS4xaJEmbjUp0fcC0tZqUur+xD3Hq5cjdKnJ2obKcw1N3dwtpvtpAxWb9ESTkb7u3K3i5EKXIWhin0FN/oLYsPXZqfQcHfkfJFh4ZjSO6wCf7tltpWu+/hNsQbXeeMZkQtaAv6S7F3R4+z2KNaR28c6i79EA7hPIaga0n6Ie2kdWVnyrLkLvVw+qdkBaYqFqW3PeuPweUij2SVU53xDMmyyaMZKvNdnLpjMRxCRlLkEs6HzzWkURwp852memMw1OURFDnU4WHuMYS9c9u7Pi+XU7W+VrmE8uBdwJy4GBye/JXHKrZfiIWaOm/k/XNA63BUQd3sFv/rOAwfy6k+r1BuGX3X7FXAW+d+sc7Ioj9cf81YbiGzuZxjOM80H531lvz82O+Lar2p1BnN+6eP/qidA4bXQnEeVJaO8e4ssvKGUsFzAZ8MqfqP+scl+dsIb3IaZXLUoWTOKcqpmR4yNfONS9/ozGchMlk6ZTIVqdk4okk3YrfVvroDP9u5B1j3dih/l5L/Itb//dk+tB6R9TBZdM4ctKktpuyHPUXr07O9P1smMd7l5bu9LWjBs/AGteI93wfUH+/6tgpjK/8GCa/1+ypV/UJEsny6Z9dVF0ZQPHnjHJD5nm9Ed+k5i8U3z0YBZ4vm/tSyRAv6RL5Z0C3Fdx0pezRXJ/qsHk8O8IZ9J88PRerX1NbRdh73XInzQSnngyXOGWmnyOHM+az6blYZl22HSz/PnZ3ofinF2fY8rzo3ulPKhe+gV+MHFfiBI2WTtP+aIuGpqs7mzStozrVM7gnrWJlMJOsB48xO/r6rI9uTCl4nAeO/V4q+50i6B7J0Kf8d0QnblOglWje7JD3fdKzOpN6tkFZ/j/Ll1bVby/+XwWrlcHP99+u3Hm2ufX5b/zcHH6qfqV+oG7DEf6s+B2IH6hAYnKq/qr+pv28dbi22/rT1Z+76wSWN+akq/Nv6y38B5hGnyw==</latexit> <latexit sha1_base64="F1qx4BuKdPiz0hT2Pil8dyJYcUM=">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</latexit> <latexit sha1_base64="F1qx4BuKdPiz0hT2Pil8dyJYcUM=">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</latexit> <latexit sha1_base64="F1qx4BuKdPiz0hT2Pil8dyJYcUM=">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</latexit> Rothblum, 1999] and references therein). An intuitive way to handle these is to solve them iteratively, by modifying first u so that it satisfies the left of Equation (4.14) and then v to satisfy its right-hand side. These two upd Sinkhorn’s algorithm: u ( ¸ +1) def. = a Kv ( ¸ ) and v ( ¸ +1) def. = b K T u ( ¸ +1) , initialized with an arbitrary positive vector v (0) = 1 m . The division operator between two vectors is to be understood entry-wise. Note that a di erent in will likely lead to a di erent solution for u, v, since u, v are only define multiplicative constant (if u, v satisfy (4.13) then so do ⁄u, v/⁄ for any turns out however that these iterations converge (see Remark 4.7 for a justifica iterative projections, and Remark 4.13 for a strict contraction result) and a the same optimal coupling diag(u)K diag(v). Figure 4.5, top row, shows the of the coupling diag(u ( ¸ ) )K diag(v ( ¸ ) ) computed by Sinkhorn iterations. It ev the Gibbs kernel K towards the optimal coupling solving (4.2) by progressive the mass away from the diagonal. Remark 4.4 (Historical Perspective). This algorithm was originally introdu proof of convergence by Sinkhorn [1964] with later contributions [Sinkhorn a 1967, Sinkhorn, 1967]. It was used earlier as a heuristic to scale a matrix fits desired marginals (typically uniform) and known as the iterative propo ting procedure (IPFP) [Deming and Stephan, 1940] and RAS [Bacharach, 1 ods [Idel, 2016], and later extended in infinite dimensions by Ruschendorf [19 adopted very early as well in the field of economics, precisely to obtain ap [Franklin and Lorenz, 1989] <latexit sha1_base64="gQBtDr2BYcGa08wcil1MYq/2YBE=">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</latexit> <latexit sha1_base64="gQBtDr2BYcGa08wcil1MYq/2YBE=">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</latexit> <latexit sha1_base64="gQBtDr2BYcGa08wcil1MYq/2YBE=">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</latexit> <latexit sha1_base64="gQBtDr2BYcGa08wcil1MYq/2YBE=">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</latexit> <latexit sha1_base64="gQBtDr2BYcGa08wcil1MYq/2YBE=">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</latexit>
  37. Hilbert Metric Analysis <latexit sha1_base64="HgbzUxOjfBog8xcC8c+lRFgA1iQ=">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</latexit> Theorem: <latexit sha1_base64="w40fYjAuiccyYasL2x+oGV5/rTE=">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</latexit> Dual cost:

    <latexit sha1_base64="2IxW0ycscoWUjrjOFtjQCrd9/eY=">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</latexit> W(k)(↵, ) def. = R fkd↵ + R gkd <latexit sha1_base64="MwXA7BWimeWxVVM0J3q1pg8adKw=">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</latexit> |W(k)(↵, ) W" p (↵, )p| 6 <latexit sha1_base64="lgpeNshW8kTgX4+x64qRt/t44RY=">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</latexit> Fast in term of k . . . <latexit sha1_base64="uyuDllAy7FGLg1fBEEgPsn7a3to=">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</latexit> slow in term of " <latexit sha1_base64="rPXcfdvLPjSorgCH0kp2meEA6fs=">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</latexit> ! useless to approximate Wp <latexit sha1_base64="LXszBpp0uOZgr5r45tsOcMvo/sg=">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</latexit> C(1 e | |d| | p 1 " )k
  38. Hilbert Metric Analysis <latexit sha1_base64="HgbzUxOjfBog8xcC8c+lRFgA1iQ=">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</latexit> Theorem: <latexit sha1_base64="w40fYjAuiccyYasL2x+oGV5/rTE=">AABDNHictVxbcxu3FYbTW+zekvaxL5sq7jgd15UVT9M005lYF8uKZZs2KdlxZHuW5IqmveTSXFK+MPoXfW1/Rl/7OzrTt05n2pf2L/RcgAWWxO7Bqql2JGNBfOccHAAH5xyA7k7SYT5bX//ruXe+9e3vfPd7756/8P0f/PBHP37v/Z8c5tl82ksOelmaTR924zxJh+PkYDacpcnDyTSJR900edB9sYWfPzhJpvkwG3dmbybJ41E8GA+Ph714BlWPtudxGvWyfPa7p++trV9Zp59otXBVF9aU/mll739wQR2pvspUT83VSCVqrGZQTlWscni+UlfVuppA3WO1gLoplIb0eaJOFWLn0CqBFjHUvoC/A3j7SteO4R1p5oTuAZcUfqeAjNRFwGTQbgpl5BbR53OijLVVtBdEE2V7A/92Na0R1M7UM6iVcKZlOC6HFiPq+xv47ROyruczdax+Sz0eggYmVIO66Gmec9Ih9jNydDADChOow3IfPp9CuUdIMyoRYXLSFEoT0+f/pJZYi+893Xau/kV9ughPpNpaV1lBIVYnRD+isZ/DZyxPCpwHQCHRGsHSKxqZEelgDO0XUH8HnlMqGQ124VlQ7WktcgseH3JLRO7C40Puish9eHzIfRHZgseHbGkkYqekcz++DY8P3xY534PHh7wnIu/D40PeF5GH8PiQhyLyETw+5CMReQMeH/KGiLwFjw95S0R24PEhOyLyAB4f8kBE7sDjQ+5oZPVKncKTEZ2hsCqvQ7nMAy1FCjXXRfk2yZb6sJsBa7pXgZVX9TZZVB92O0CnSQV2J2DeHVdg5Zm3CzbSj5Vt0U3ae3zYmyJ2D2aAH7snYr9QzyuwXwSstBcVWHmt7UM7P1a2vrfhzY+9LWLvQMmPlfeou1Djx94N2DEmFdiWiL2nXlZgQ6z+tAIr2/022BU/Vt6nOtDejw2xpvMKrGxPD8GD8WPl3eoB1PqxD0TsQ/W6AvtQxH4J1t2P/TJgh31bgTV77AXaQQbkjySwYuuoxcWqxNIEqMUC/7TYW7CEe1RfxAwKzIAwIxGxWyB2AxH7BWI/WK68sKM5+bsyl3aBaAciusXehKWZ2L5ftMdSGoDYLhDbS4g6jxTH2vTlhLwLUyMhZ8XOhaWQPmWF/cZSoudDveU1iLslBM/tZzTzL1O0hBEUaqqO2rNij2dkRO91iFcUvZleGh4yblZYBRf1WkR1PaiuiHrjQb0RUXMPai6iTjyoExFlV76LOwqYAVb/OBYLeuMZwD5y9ROBV3Addp2bsEYjmD8t8ALvU81d+LdNsbf01EmG0Tzuk5gTeVyyxFMoLdQa1NuocJvi65RWWAKSccu7OsbHN8yELPSaYyt8WuzkUZFfCaczJHkGBR30FiNaT83o3KKaU/LuuNQMf7NY96bUDL9DGj8lL55LzfAzLf3sDLJ3NLZzBmwbVtNEa9+Wm9Lg/AvTMOULtOuixcVRHek5g/ReN6S/p0dm7wzjskUl1o8tN6ORO/3LS/1rQsPqOXf03IwKek/s9ZpS1LgnYx332nJTGTLaRcdaDvvWdGRinZlcOOVmNFrgcW1RzL1wyk1n76TojS03o3GoOO95Sp68KTejMaB31octN6OB2ZZYx/m23NSyowY4drblplZ9TFlgzAHxnOca6xVNyU+aa2pD8g/qszWuz7+6j2HO5kkRI9RTsr5tNZ1usZfVS2T8hQSs2qyhHOhfzB0frExjoTbE+IplmJX291U6do9Hze+DFiNY/XwGIOXMU5DQ5CTQeqdA8aoYdZV7ZnAbIg5nyfES6kjXzkRv0fLlrFG57inVSnGZ7a3V4xHZ65zm3oR8wn3SrKSH/coRrqIoaWi/pCGZXhPdvdXrtaz9dRE3WUJMipnWoxMhPnerj1N9Wm87Or6oT3lm8PCZj52/mG0+1tYGY56MbBHKUsfTbWfySG4d7quXlc1x82cRjSjaqxOyGkM6kcrFKNRki9kbX9C7pX1AZ3LIg2n0YBwjTWWi+NQMs+iYT4/Iorr2VuKN+jIZOi7nZHWNPa5HDxz0wINuHuNswY5xB0odiBkO4K0TEOVcKHSVkcan6lfFWWpGI1gf0aclC2losL1JShayLsp+VqLyCtA4GzhKD6exTMfgj1YoyVG/Tx4bu5Yt/0U6uTWn4THN8erZXJ2J6RPXDeIa0arhU11+W+bAEiy8n2yQ/1rfS+TXhCPaUInrE4cz62VM9wMSimAn5BmntNqk1VFu7eanlj8xnFrKnJ3jaXZGFjIi+xfB/pTRnIzo171pYE7Q2SKkZCND7M6w8G58vs5QnGPWjxsqvgNh51tCtmxO/A1dd3XlNBc5YuB94HRpbhud7JMvmBDXqbbudm3X7z6ItLcq3FnCFO1cuUT8P6K/5tfMk7WVGYEaxhHIta3zjUdGMQvqKKZdvt4GmbaulB8WMjzRUtv9z8r0YUmybYq4UB7crfvAuUfvzAtnyZTkzlfa8D5al81FypMlPWJvjymKZ7s/0Dswyn2Zdsk1WnNHNEsGMAtmRRRh2kpZ5GW+9bzK1MNo5/8X6lbXZa0hxUjZDC5rSMrvJxStuVKmMKt5/r6g1eTX+nSpVT2fMc3FkbOWv4baD+Cvkdu8h9HplqzCJs0BpmDfrEa4JlppEcZrs8TLzExDy75bfnZOmlZuzVnia7ZuNsY+aUylRbPmtc5amPJZaDx3aDwP1GGHzhqtFk29sURPxdiio08rQ/k14dZpQHkuUpY9MoMaBkjpxlJhVPsiVTnGN6i3Iq11kVYMq9U9DXDXfAjSv9aXV/fXxe4eqRvk2/TIA+P4pU+rdEg+l6mtj9SYAnK+pu2ru/qPqAa5d8mCImW+9Ykrhk+devScFpL+Qu9sGdl5axHMvaVXuo2xsUdU/ngFOaI1kdO6NIhr1CLR8rtyREsW6Yrjc0SU+Y/Jp2K/oz5mdlvbMYlK/oSNN3lVWV4cKYxJ/1LmbW8let1z4teIYsK59q67QKv5CCMFxphMgt+zzGmEcJfjkwT2aLtkP1ftFJ/ijR2JrpDUC/X7ABvDUa+d6+7cMj02ffsltESt21H3tZD5pcEcJX5nOdGLaVcbaR91sfR+Nlqx3uXK73V6mC/xtfqYUxs3srBRXhlzpD4L5sISNePCmBAuzXrRRP5mkjeRmU+nQimb1oZyOdPANuYZxUvSPVBE+Ly7S15v7iOhH90Vel3CutS4RqKE2bhM5wdcS4tZqfMr+xDXnq/djVJnJ6raKQx1d7ew9pstZELWL1VSzoZbu7IflaIUOQvDFHqKb/RWxYcuzc/gwb+R8kWHhmNI7rAN/u11taV2voHbEC91mTOaEdWgLegvxd6x7me5Rb2OXjrUXfohHMJ5DEHXkvRD2kmbys6UZcld6uH0X5EVmKpElN62bN4Hl4vck1VOTfozJMsm92aozDd3mvbFcAjpSZlLOB8+15B6cazMN6Ca9cFQl3tQ5tCEh7nHEDbmtnVzXi6nen2tcgnlwbuAOXExODz5q45VbLsQCzV1RuSb54DW4biGutkt/td+GD6WU3Neodxy+q7Z84BR53aJzsiiP9x8zVhuIbO5mmM4z6zonfWW/PzY74sajVTm9Oabp4/+qJ0DhtdCcR5Ulo7x7iyy8oZSwXMBnwyZ+o/6yzn52wgvCxpVcjShZM4pqqmZFjI1841LX+/MZyEyWTpVMpWp2TiiTTdit9SeugG/W4UH2PR2KH+Xkv9FrP9bs32oPSbrYbLonDk4orqEsh/2FK1P7/b+bJXEeJeX7/Z2oAbPwvepFu/53qH2eNe3U+pb9TdIeK3fVpnqlyKS5dM9u6660IPyyRvngMz3fCO6S89ZLL55Ngo4WzT3p5YlWtAn8s2CbiW+60jZo7k60Wf1eHKAN+zjIj8UqV9TXaztPO65EudWJefWEuectFPm8Nr5rP5uVhWXLYdLv8idneh2GcXZ9jyvPje6XcmF76DX4wc1+IEjZZu0/4Ii4amqz+bNa2jOtUzuCetYmUwk6wHjzLgY7/rI9qSG10lA/29Vom85ku6CLF3Kf0d0wjYleqnWzQ5Jzzcd6zOpN2ukNd+jZJr2rqOdB+bWYn2WPtXzjjMX5v8uWNB6wN3U3EyUsidJBZ0u3QhMiBLfkayndCzIcyxSGIiS6JlK/4/Ep/QTceGTa7rw6dXi/5E43Lhy9TdXPr63sfb5pv4fJd5VP1M/V5fAPn6iPoeRaKkD4DRWf1B/VH/a/PPm3zb/vvkPbvrOOY35qSr9bP77v43I7lk=</latexit> Dual cost:

    <latexit sha1_base64="2IxW0ycscoWUjrjOFtjQCrd9/eY=">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</latexit> W(k)(↵, ) def. = R fkd↵ + R gkd <latexit sha1_base64="MwXA7BWimeWxVVM0J3q1pg8adKw=">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</latexit> |W(k)(↵, ) W" p (↵, )p| 6 <latexit sha1_base64="lgpeNshW8kTgX4+x64qRt/t44RY=">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</latexit> Fast in term of k . . . <latexit sha1_base64="uyuDllAy7FGLg1fBEEgPsn7a3to=">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</latexit> slow in term of " <latexit sha1_base64="rPXcfdvLPjSorgCH0kp2meEA6fs=">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</latexit> ! useless to approximate Wp <latexit sha1_base64="cWnmvuc7+BCm+yhq1JcDkdP5n/Q=">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</latexit> Variation semi-norm: <latexit sha1_base64="eL1y4Y1OK4V7QbmiGgX0he+kONs=">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</latexit> ||h||V , sup(f) inf(f) <latexit sha1_base64="lDl+42g5g5HGQ8Zg73egkjdHrqE=">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</latexit> ||fk f ?||V = O(1 e | |dp| |1 " )k <latexit sha1_base64="dzTpadX3pf5sBHfZI7GNSH1H4co=">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</latexit> Birkho↵’s contraction theorem: <latexit sha1_base64="JrSePIcvuhdqtr56TIeF0M7Z+jk=">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</latexit> f 7! fc," is contractant for || · ||V <latexit sha1_base64="mRLVj5jgmugEjdc7KnyOlaoXnKs=">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</latexit> =) <latexit sha1_base64="CLxm7Hhiztx3QU473hecJZYnGtA=">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</latexit> Proof: <latexit sha1_base64="LXszBpp0uOZgr5r45tsOcMvo/sg=">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</latexit> C(1 e | |d| | p 1 " )k
  39. Hilbert vs Mirror Analysis <latexit sha1_base64="HgbzUxOjfBog8xcC8c+lRFgA1iQ=">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</latexit> Theorem: <latexit sha1_base64="Fo36Govvl7SLdYwIfThuT/Rfmqo=">AABDQnictVxLkxPJES7WrwW/WDvCF196PYuDdWA8sITXGxuOWObBMMsAAmkGdldA6NGjEbTUQi0NDGL+jK/2f/DFf8L/wPbF4fDVB+ejqqtaqu6sHuNpNFRX15eZlV2VlZlVmu4kGWaz9fW/nnvvW9/+zne/9/75C9//wQ9/9OOLH/zkIEvn016830uTdPq428niZDiO92fDWRI/nkzjzqibxI+6Lzbx+aPjeJoN03FrdjKJn4w6g/HwcNjrzKDq2cWftXtH6bAXL6J22/47fXZxbf3qOv1Eq4VrurCm9E8j/eDDC6qt+ipVPTVXIxWrsZpBOVEdlcH1jbqm1tUE6p6oBdRNoTSk57E6VYidQ6sYWnSg9gX8HsDdN7p2DPdIMyN0D7gk8JkCMlKXAJNCuymUkVtEz+dEGWvLaC+IJsp2Av93Na0R1M7UEdRKONMyHJdBixH1/QQ+fUJW9XymDtXvqMdD0MCEalAXPc1zTjrEfkaODmZAYQJ1WO7D8ymUe4Q0byUiTEaaQmk69Pxv1BJr8b6n287V36lPl+CKVFPrKs0pdNQx0Y/o3c/hGcuTAOcBUIi1RrD0it7MiHQwhvYLqL8H1ymVjAa7cC2o9rQSuQmXD7kpInfg8iF3ROQeXD7knohswOVDNjQSsVPSuR/fhMuHb4qcH8DlQz4QkQ/h8iEfisgDuHzIAxH5NVw+5Nci8hZcPuQtEXkHLh/yjohsweVDtkTkPlw+5L6I3IbLh9zWyPKZOoUrJTpDYVbehHKRB1qKBGpuivJtkC31YTcC5nSvBCvP6i2yqD7sVoBO4xLsdsC4OyzByiNvB2ykHyvbotu09viwt0XsLowAP3ZXxH6pnpdgvwyYaS9KsPJc24N2fqxsfe/CnR97V8Teg5IfK69R96HGj70fsGJMSrANEftAvSzBhlj9aQlWtvtNsCt+rLxOtaC9HxtiTeclWNmeHoAH48fKq9UjqPVjH4nYx+p1CfaxiP0KrLsf+1XACvumBGvW2Au0ggzIH4lhxlZR6+SzEksToNYR+Cf52oIlXKP6ImaQYwaEGYmInRyxE4jYyxF7wXJluR3NyN+VuTRzRDMQ0c3XJizNxPb9vD2WkgDEVo7YWkJUeaT4rk1fjsm7MDUScpavXFgK6VOa228sxXo8VFteg7hfQPDYPqKRf4WiJYygUFNV1I7yNZ6REd1XIV5R9GZ6aXjIuFluFVzUaxHV9aC6IurEgzoRUXMPai6ijj2oYxFlZ76LaweMAKt/fBcLuuMRwD5y+RWBV3ATVp3bMEcjGD8N8AIfUs19+L9Jsbd0VUmG0Tyuk5gTeVKwxFMoLdQa1NuocIvi64RmWAySccv7OsbHO8yELPScYyt8mq/kUZ5fCaczJHkGOR30FiOaT/Xo3KGaU/LuuFQPfzuf96ZUD79NGj8lL55L9fAzLf3sDLK3NLZ1BmwTZtNEa9+W69Lg/AvTMOULtOqixcW3OtJjBum9rkl/V7+Z3TO8l00qsX5suR6NzOlfVuhfHRpWz5mj53pU0Htir9eUoto9Geu415brypDSKjrWcti7um+mozOTC6dcj0YDPK5NirkXTrnu6J3kvbHlejQOFOc9T8mTN+V6NAZ0z/qw5Xo0MNvS0XG+Lde17KgBjp1tua5VH1MWGHNAPOa5xnpFU/KT5prakPyD6myN6/OvrmOYs3maxwjVlKxvW06nm69l1RIZfyEGqzarKQf6F3PHByvSWKjrYnzFMswK6/sqHbvGo+b3QIsRzH7eA5By5glIaHISaL0ToHhNjLqKPTO46yIOR8nhEqqta2eit2j5ctaoWPeMaqW4zPbW6rFN9jqjsTchn3CPNCvpYa/0DZdRlDS0V9CQTK+O7t7o+VrU/rqImywhJvlI69GOEO+7VcepPq03HR1f0rs8M7h4z8eOX8w2H2prgzFPSrYIZani6bYzeSS3DtfVK8rmuPlZRG8U7dUxWY0h7UhlYhRqssXsjS/o3tLepz055ME0evAeI01lonjXDLPomE+PyKK69lbijfoyGTouZ2R1jT2uRg8c9MCDrh/jbMKKcQ9KLYgZ9uGuFRDlXMh1lZLGp+rX+V5qSm+wOqJPChbS0GB7ExcsZFWUfVSg8grQOBo4Sg+nsUzH4NsrlOSo3yePjV2Llv8S7dya3fAOjfHy0VyeiekT1+vENaJZw7u6fLfMgSVYeJ9cJ/+1upfIrw5HtKES16cOZ9bLmM4HxBTBTsgzTmi2SbOj2NrNTy0/MZwayuyd4252ShYyIvsXwfqU0piM6OOeNDA76GwRErKRIXZnmHs3Pl9nKI4x68cNFZ+BsOMtJls2J/6Grju7MhqLHDHwOnC6NLaNTvbIF4yJ61Rbdzu3q1cfRNpTFe4oYYp2rFwm/h/Tb/Mx42RtZUSghvENZNrW+d5HSjEL6qhDq3y1DTJtXSk/ymV4qqW265+V6aOCZFsUcaE8uFr3gXOP7pkXjpIpyZ2ttOF1tCqbi5QnS3rE3h5SFM92f6BXYJT7Cq2SazTn2jRKBjAKZnkUYdpKWeRlvtW8itTDaGf/F+pW10WtIcVI2Qwua0jK78cUrblSJjCqefy+oNnk1/p0qVU1nzGNxZEzl99C7Yfw28ht7sPodAtWYYPGAFOwd1YjXBOttAjjtVHgZUamoWXvLT87Jk0rt+Ys8TVbNxtjH9em0qBR81pnLUz5LDSeOzSeB+qwRXuNVoum3liiZ2Js0dK7laH86nBr1aA8FynLHplBDQOkdGOpMKp9kaoc4xvUG5HWukirA7PV3Q1w53wI0j/Xl2f323x1j9Qt8m165IFx/NKnWTokn8vUVkdqTAE539D21Z39bapB7l2yoEiZT33ijOFdpx5dp7mkv9QrW0p23loEc27plW5jbGybyp+sIEc0JzKalwZxg1rEWn5XjmjJIl11fI6IMv8d8qnY76iOmd3W9p1EBX/Cxps8qywvjhTGpH8p87a7Er3uOvFrRDHhXHvXXaBV/w0jBcaYTILfs8zoDeEqxzsJ7NF2yX6u2inexRs7El0lqRfq9wE2hqNeO9bdsWV6bPr2K2iJWrdv3ddC5pcEc5T4nWVHr0Or2kj7qIul+7PR6uhVrnhfpYf5El+rjzm1cSMLG+UVMW31eTAXlqgeF8aEcKnXizry15O8jsy8OxVK2bQ2lIuZBrYxRxQvSedAEeHz7i57vbmPhX50V+h1CetS4xqJEmbjUp0fcC0tZqXOr6xDXHu+cjVKnJWobKUw1N3VwtpvtpAxWb9ESTkbbu3K3i5EKXIWhin0FJ/oLYsPXZqfw4W/I+WLDg3HkNxhE/zbm2pTbb+D0xAvdZkzmhHVoC3oL8XeHd3PYotqHb10qLv0QziE8xiCriXph7SS1pWdKcuSu9TD6b8iKzBVsSi9bVm/Dy4XuSernOr0Z0iWTe7NUJlv7tTti+EQ0pMil3A+vK8h9eJQmW9A1euDoS73oMihDg9zjiHsndvW9Xm5nKr1tcollAevAmbHxeBw5688VrHtQizU1Hkj754DWofDCupmtfhf+2H4WE71eYVyy+i7Zs8D3jq3i3VGFv3h+nPGcgsZzeUcw3mmee+st+Tnx35fVOtNpU5v3j199EftGDC8ForzoLJ0jHdHkZU3lAruC/hkSNU/1Z/Pyd9GeJnTKJOjDiWzT1FOzbSQqZlvXPp6Z56FyGTplMlUpGbjiCadiN1Uu+oWfDZzD7Du6VD+LiX/j1j/t2b7UHtI1sNk0Tlz0Ka6mLIfdhetT/f2/GyZxHiWl8/2tqAG98L3qBbP+d6j9njWt1XoW/k3SHiu31Wp6hcikuXdPTuvutCD4s4b54DM93wjOkvPWSw+eTYK2Fs056eWJVrQE/lkQbcU33Wk7NFYnei9etw5wBP2nTw/FKnfUF1H23lccyXOjVLOjSXOGWmnyOG186z6bFYZl02HSz/PnR3rdinF2XY/rzo3ulXKhc+gV+MHFfiBI2WTtP+CIuGpqs7mzStozrVM7g7rWJlMJOsB48xO/r6rI9vjCl7HAf2/U4q+40i6A7J0Kf8d0Q7blOglWjfbJD2fdKzOpN6ukNZ8j5Jp2rOOdhyYU4vVWfpEjzvOXJi/XbCg+YCrqTmZKGVP4hI6XToRGBMlPiNZTelQkOdQpDAQJdEjlf6OxGf0E3Hh0xu68Nm1/O9IHFy/eu23Vz95cGPtiw39FyXeVz9Xv1CXwT5+qr6AN9FQ+8DprfqD+qP608ZfNv6x8a+Nf3PT985pzE9V4WfjP/8Fq2ryqg==</latexit> 8

    > > < > > : <latexit sha1_base64="MwXA7BWimeWxVVM0J3q1pg8adKw=">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</latexit> |W(k)(↵, ) W" p (↵, )p| 6 <latexit sha1_base64="PY0tg7zb0D6GM9zLY7V55lIuW94=">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</latexit> ||d||2p 1 "k <latexit sha1_base64="LXszBpp0uOZgr5r45tsOcMvo/sg=">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</latexit> C(1 e | |d| | p 1 " )k
  40. Hilbert vs Mirror Analysis <latexit sha1_base64="HgbzUxOjfBog8xcC8c+lRFgA1iQ=">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</latexit> Theorem: <latexit sha1_base64="Fo36Govvl7SLdYwIfThuT/Rfmqo=">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</latexit> 8

    > > < > > : <latexit sha1_base64="MwXA7BWimeWxVVM0J3q1pg8adKw=">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</latexit> |W(k)(↵, ) W" p (↵, )p| 6 <latexit sha1_base64="ym+1vwu7caeBR8jX/pSLDpbHw5A=">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</latexit> (Pinsker) <latexit sha1_base64="oSRMoISiqyF5QqnMGPIkZfPFlpE=">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</latexit> [Altschuler et al 2017] <latexit sha1_base64="AF5/WEibbrBBLSULZXd5jxaC8nM=">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</latexit> k def. = Wp ",p (↵, ) W(k)(↵, ) <latexit sha1_base64="t0Q52zQfZWM1Bndx3LadXDLljfk=">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</latexit> k k+1 = "KL(↵|(⇡k)1) + "KL( |(⇡k)2) <latexit sha1_base64="I4r/99Ygmtz0OAmh479Hqhaht2k=">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</latexit> > "||↵ (⇡k)1 ||2 1 + "|| (⇡k)2 ||2 1 <latexit sha1_base64="EVotC+Rbw8i268je+5MGKXbAFFk=">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</latexit> (||fk ||V , ||gk ||V 6 ||d||p 1 ) <latexit sha1_base64="i7kvCEl4GjEOFWFNDplXaFyLBDU=">AABDYHictVxfcxPJER8u/4D8OUjekpe9GFJ3KUKMj8rl6ipVh2VjfBgQSDbcncC1klZi8UortJLB6PRF8mWS1+Qb5DVPyVO+Qrp7ZnZmpdntWYd4y2Z2NL/unp6Znu6eEd1JEmezzc1/XPjge9//wQ9/dPHS5R//5Kc/+/DK1Z8fZel82osOe2mSTp91wyxK4nF0OItnSfRsMo3CUTeJnnZPGvj509NomsXpuD07m0TPR+FwHA/iXjiDquMrt691htHroDOYhr1FJ5pkcZKOl4vOOJ2OFv3lcSceD2ZnLxZbk+Uy6OxExycvtq4dX9nYvLlJP8F64ZYqbAj100yvfnRZdERfpKIn5mIkIjEWMygnIhQZPN+KW2JTTKDuuVhA3RRKMX0eiaVA7BxaRdAihNoT+DuEt29V7RjekWZG6B5wSeB3CshAXAdMCu2mUEZuAX0+J8pYW0Z7QTRRtjP4t6tojaB2Jl5CLYfTLf1xGbQYUd/P4LdPyKqez8RA/JF6HIMGJlSDuugpnnPSIfYzsHQwAwoTqMNyHz6fQrlHSD0qAWEy0hRKE9Ln/6KWWIvvPdV2Lv5NfboOTyBaSldpTiEUp0Q/oLGfw2dSngQ4D4FCpDSCpTc0MiPSwRjaL6D+ITxLKmkNduFZUO2yEtmAx4VssMg9eFzIPRZ5AI8LecAim/C4kE2FROyUdO7Gt+Bx4Vss58fwuJCPWeQTeFzIJyzyCB4X8ohFfgOPC/kNi7wLjwt5l0Xeh8eFvM8i2/C4kG0WeQiPC3nIInfhcSF3FbJ8pU7hSYlOzKzKO1Au8kBLkUDNHVa+bbKlLuy2x5rulWD5Vb1DFtWF3fHQaVSC3fWYd4MSLD/z9sBGurG8LbpHe48Le4/F7sMMcGP3WexX4lUJ9iuPlXZSguXX2gG0c2N56/sA3tzYByz2IZTcWH6PegQ1buwjjx1jUoJtstjH4nUJ1sfqT0uwvN1vgV1xY/l9qg3t3VgfazovwfL29Ag8GDeW362eQq0b+5TFPhNvS7DPWOzXYN3d2K89dth3JVi9x16mHWRI/kgEK7aKWpivSixNgFrI8E/yvQVLuEf1WcwwxwwJM2IRezlizxNxkCMOvOXKcjuakb/Lc2nliJYnopvvTViase37eXssJR6InRyxs4Ko8khxrHVfTsm70DUccpbvXFjy6VOa228sRWo+VFtejXhUQMi5/ZJm/g2KljCCQk1VUXuZ7/ESGdB7FeINRW+6l5oHj5vlVsFGvWVRXQeqy6LOHKgzFjV3oOYs6tSBOmVRZuXbuI7HDDD6x7FY0JucAdJHLn8C8AruwK5zD9ZoAPOnCV7gE6p5BP+2KPbmnirJMJrHfRJzIs8LlngKpYXYgHoTFe5QfJ3QCotAMtnykYrx8Q0zIQu15qQVXuY7eZDnV/zpxCTPMKeD3mJA66kenftUsyTvTpbq4e/l616X6uF3SeNL8uJlqR5+pqSfnUP2tsK2z4FtwWqaKO2bcl0aMv8iaejyZdp10eLiqI7UnEF6b2vS31cjs3+OcWlQSerHlOvRyKz+ZYX+1aFh9JxZeq5HBb0n6fXqUlC7J2MV95pyXRlS2kXHSg7zVndkQpWZXFjlejSa4HE1KOZeWOW6s3eS98aU69E4EjLvuSRPXpfr0RjSu9SHKdejgdmWUMX5plzXsqMGZOxsynWt+piywJgDknNe1hivaEp+0lxRi8k/qM7W2D7/+j6GOZsXeYxQTcn4tuV0uvleVi2R9hcisGqzmnKgfzG3fLAijYXYYuMrKcOssL+v0zF7PGr+ALQYwOqXZwBczjwBCXVOAq13AhRvsVFXsWcat8XicJYMVlAdVTtjvUXDV2aNinXHVMvFZaa3Ro8dstcZzb0J+YQHpFlODwelI1xGkdPQQUFDPL06unun1mtR+5ssbrKCmOQzrUcnQvLcrTpOdWm9Zen4ujrlmcEjz3zM/MVs80BZG4x5UrJFKEsVT7udziPZdbiv3hAmxy0/C2hE0V6dktWI6UQqY6NQnS2W3viC3g3tQzqTQx6SRg/GMVBUJkKemmEWHfPpAVlU295yvFFfOkMnyxlZXW2Pq9FDCz10oOvHOA3YMR5CqQ0xwyG8tT2inMu5rlLS+FT8Lj9LTWkEqyP6pGAhNQ1pb6KChayKsl8WqLwBNM4GGaX701ilo/GdNUp81O+Sx8SuRct/nU5u9Wl4SHO8fDaXZ2L6xHWLuAa0auSprnxb5SAlWDg/2SL/tbqXyK8OR7ShHNcXFmeplzHdD4gogp2QZ5zQauNWR7G1nZ9a/URzagp9do6n2SlZyIDsXwD7U0pzMqBf+6aBPkGXFiEhG+ljd+Lcu3H5OjE7x4wfFwt5B8LMt4hs2Zz4a7r26spoLsqIQe4Dy5W5rXVyQL5gRFynyrqbtV29+yDS3KqwZ4mkaObKx8T/E/qrf/U82VibEahhHIFM2TrXeKQUs6COQtrlq22QbmtLeS2X4YWS2ux/RqZrBcl2KOJCeXC37gPnHr1LXjhLpiR3ttZG7qNV2VykPFnRI/Z2QFG8tPtDtQOj3Ddol9ygNdehWTKEWTDLowjdlssir/Kt5lWk7kc7+79QN7ouag0pBsJkcKWGuPx+RNGaLWUCs1rO3xNaTW6tT1daVfMZ01wcWWv5O6j9CP5qufW7H51uwSps0xyQFMyb0YisCdZa+PHaLvDSM1PTMu+Gn5mTupVdc574Wlo3E2Of1qbSpFnzVmUtdPk8NF5ZNF556rBNZ41Gi7peW6JjNrZoq9NKX351uLVrUJ6zlHmPTKNiDyntWMqPap+lysf4GvWOpbXJ0gphtdqnAfaa90G61/rq6v4u390DcZd8mx55YDJ+6dMqjcnn0rXVkZqkgJxvK/tqr/4O1SD3LllQpCxvfeKKkadOPXqWuaS/UTtbSnbeWAR9b+mNaqNtbIfKn64hR7QmMlqXGnGbWkRKfluOYMUi3bR8joAy/yH5VNLvqI6Z7dZmTIKCP2HiTbmqDC8ZKYxJ/1zmbX8tet234teAYsK58q67QKv+CCMFidGZBLdnmdEI4S4nTxKkR9sl+7lup+Qp3tiS6CZJvRB/8rAxMuo1c92eW7rHum+/hZaodTPqrhY8v8SbI8fvPCd6Ie1qI+WjLlbez0crVLtc8b1KD/MVvkYfc2pjRxYmyitiOuILby5SonpcJMaHS71e1JG/nuR1ZJanU76UdWtNuZhpkDbmJcVL3D1QRLi8u4+d3twnTD+6a/S6hLWpyRqOEmbjUpUfsC0tZqUure1DsvZS5W6UWDtR2U6hqdu7hbHf0kJGZP0SweVsZGtb9k4hSuGzMJJCT8gbvWXxoU3zC3jwbyBc0aHm6JM7bIF/e0c0xO57uA3xWpVlRjOgGrQF/ZXYO1T9LLao1tFri7pN34eDP48YdM1JH9NOWld2SZmX3KbuT/8NWYGpiFjpTcv6fbC58D1Z51SnPzFZNr43sdDf3KnbF83BpydFLv585LkG14uB0N+AqtcHTZ3vQZFDHR76HoPfmJvW9XnZnKr1tc7Fl4fcBfSJi8bhyV95rGLa+VioqTUi758DWodBBXW9W/yv/dB8DKf6vHy5ZfRds1ceoy7bRSoji/5w/TVjuPnM5nKO/jzTvHfGW3Lzk35fUGukUqs3758++qNmDmheCyHzoLx0Em/PIiOvLxU8F3DJkIr/iL9c4L+N8DqnUSZHHUr6nKKcmm7BU9PfuHT1Tn/mI5OhUyZTkZqJI1p0I7Yh9sVd+G3kHmDd26Hyu5TyX8S6vzXbh9oBWQ+dRZeZgw7VRZT9MKdofXo392fLJMa7vPJubxtq8Cz8gGrxnu9Dao93fduFvpV/g0Su9QciFf1CRLJ6umfWVRd6UDx5kzkg/T3fgO7SyyyWvHk28jhb1PenViVa0Cf8zYJuKb5rSdmjuTpRZ/V4coA37MM8PxSI31NdqOw87rkc52Yp5+YK54y0U+Tw1vqs+m5WGZeGxaWf585OVbuU4mxznledG90p5SLvoFfjhxX4oSVli7R/QpHwVFRn8+YVNOdKJvuEdSx0JlLqAePMMB/v6sj2tILXqUf/75ei71uS7oEsXcp/B3TCNiV6idLNLkkvbzpWZ1LvVUirv0cpaZq7jmYe6FuL1Vn6RM07mbnQ/3fBgtYD7qb6ZiKXPYlK6HTpRmBElOQdyWpKA0aeAUthyEqiZir9PxKf008gC5/dVoXPb+X/j8TR1s1bf7j56eOtjS+31f8ocVH8SvxafAz28TPxJYxEUxwCpz+Lv4q/ib9v/7NxsfFh46ps+sEFhfmFKPw0fvlfxOD8qA==</latexit> > " ||d||2p 1 2 k <latexit sha1_base64="PY0tg7zb0D6GM9zLY7V55lIuW94=">AABDVHictVxRcxu3EYaTpo3dNnXax75cqrjjdFxXVjxNM5nOxKJkWbFiyyYlOwltz5E80mcdefQdKVtm+Bf6a/ra9l90pv+gfeof6EN3F8ABR+JucaqrG8k4EN/uYgEsdhege9Mkzmebm/+48M67P3jvhz96/+KlH//kpx/87PKHPz/O03nWj476aZJmj3thHiXxJDqaxbMkejzNonDcS6JHvZMWfv7oNMryOJ10ZmfT6Mk4HE3iYdwPZ1D17PLVoDvMwv6iO0mz8WKwfNaNJ8PZ2dPF1nS5XHSjaR4n6SQ4WT67vLF5fZN+gvXCDVXYEOrnMP3wo0uiKwYiFX0xF2MRiYmYQTkRocjh+U7cEJtiCnVPxALqMijF9HkklgKxc2gVQYsQak/g7wjevlO1E3hHmjmh+8Algd8MkIG4ApgU2mVQRm4BfT4nylhbRXtBNFG2M/i3p2iNoXYmnkMth9Mt/XE5tBhT38/gd0DIup7PxFD8gXocgwamVIO66Cuec9Ih9jOwdDADClOow/IAPs+g3CekHpWAMDlpCqUJ6fN/Ukusxfe+ajsX/6I+XYEnEG2lq7SgEIpToh/Q2M/hMylPApxHQCFSGsHSKxqZMelgAu0XUH8PniWVtAZ78CyodlmLbMHjQrZY5B48LuQeizyAx4U8YJGH8LiQhwqJ2Ix07sa34XHh2yznB/C4kA9Y5EN4XMiHLPIYHhfymEV+C48L+S2LvA2PC3mbRd6Fx4W8yyI78LiQHRZ5BI8LecQid+FxIXcVsnqlZvCkRCdmVuUtKJd5oKVIoOYWK9822VIXdttjTfcrsPyq3iGL6sLueOg0qsDuesy7YQWWn3l7YCPdWN4W3aG9x4W9w2L3YQa4sfss9ivxogL7lcdKO6nA8mvtANq5sbz1/Rre3NivWew9KLmx/B51H2rc2PseO8a0AnvIYh+IlxVYH6ufVWB5u98Gu+LG8vtUB9q7sT7WdF6B5e3pMXgwbiy/Wz2CWjf2EYt9LF5XYB+z2G/Aurux33jssG8qsHqPvUQ7yIj8kQhWbB21sFiVWJoCtZDhnxR7C5ZwjxqwmFGBGRFmzCL2CsSeJ+KgQBx4y5UXdjQnf5fn0i4QbU9Er9ibsDRj2w+K9lhKPBA7BWJnBVHnkeJY676cknehazjkrNi5sOTTp7Sw31iK1Hyot7wacb+EkHP7Oc38axQtYQSFmqqj9rzY4yUyoPc6xCuK3nQvNQ8eNyusgo16zaJ6DlSPRZ05UGcsau5AzVnUqQN1yqLMyrdxXY8ZYPSPY7GgNzkDpI9c/QTgFdyCXecOrNEA5s8heIEPqeY+/Num2Jt76iTDaB73ScyJPClZ4gxKC7EB9SYq3KH4OqEVFoFksuV9FePjG2ZCFmrNSSu8LHbyoMiv+NOJSZ5RQQe9xYDWUzM6d6lmSd6dLDXD3ynWvS41w++SxpfkxctSM/xMST87h+wdhe2cA9uG1TRV2jflpjRk/kXS0OVLtOuixcVRHas5g/ReN6S/r0Zm/xzj0qKS1I8pN6ORW/3LS/1rQsPoObf03IwKek/S69WloHFPJiruNeWmMqS0i06UHOat6ciEKjO5sMrNaByCx9WimHthlZvO3mnRG1NuRuNYyLznkjx5XW5GY0TvUh+m3IwGZltCFeebclPLjhqQsbMpN7XqE8oCYw5IznlZY7yijPykuaIWk39Qn62xff71fQxzNk+LGKGekvFtq+n0ir2sXiLtL0Rg1WYN5UD/Ym75YGUaC7HFxldShllpf1+nY/Z41PwBaDGA1S/PALiceQIS6pwEWu8EKN5go65yzzRui8XhLBmuoLqqdsZ6i4avzBqV655RLReXmd4aPXbJXuc096bkEx6QZjk9HFSOcBVFTkMHJQ3x9Jro7o1ar2Xtb7K46QpiWsy0Pp0IyXO3+jjVpfW2peMr6pRnBo888zHzF7PNQ2VtMOZJyRahLHU87XY6j2TX4b56TZgct/wsoBFFe3VKViOmE6mcjUJ1tlh64wt6N7SP6EwOeUgafRjHQFGZCnlqhll0zKcHZFFte8vxRn3pDJ0s52R1tT2uR48s9MiBbh7jtGDHuAelDsQMR/DW8YhyLhW6SknjmfhtcZaa0gjWR/RJyUJqGtLeRCULWRdlPy9ReQVonA0ySvensUpH47trlPio3yWPiV3Llv8Kndzq0/CQ5nj1bK7OxAyI6xZxDWjVyFNd+bbKQUqwcH6yRf5rfS+RXxOOaEM5rk8tzlIvE7ofEFEEOyXPOKHVxq2Ocms7P7X6ieZ0KPTZOZ5mp2QhA7J/AexPKc3JgH7tmwb6BF1ahIRspI/diQvvxuXrxOwcM35cLOQdCDPfIrJlc+Kv6dqrK6e5KCMGuQ8sV+a21skB+YIRcc2UdTdru373QaS5VWHPEknRzJWrxP8T+qt/9TzZWJsRqGEcgVzZOtd4pBSzoI5C2uXrbZBua0v5cSHDUyW12f+MTB+XJNuhiAvlwd16AJz79C554SzJSO58rY3cR+uyuUh5uqJH7O2Qonhp90dqB0a5r9EuuUFrrkuzZASzYFZEEbotl0Ve5VvPq0zdj3b+f6FudF3WGlIMhMngSg1x+f2IojVbygRmtZy/J7Sa3FrPVlrV85nQXBxba/l7qP0I/mq59bsfnV7JKmzTHJAUzJvRiKwJ1lr48dou8dIzU9My74afmZO6lV1znvhaWjcTY582pnJIs+a1ylro8nlovLBovPDUYYfOGo0Wdb22RM/Y2KKjTit9+TXh1mlAec5S5j0yjYo9pLRjKT+qA5YqH+Nr1BuW1iZLK4TVap8G2GveB+le66ur+/tidw/EbfJt+uSByfhlQKs0Jp9L19ZHapICcr6p7Ku9+rtUg9x7ZEGRsrz1iStGnjr16VkWkv5a7Wwp2XljEfS9pVeqjbaxXSp/uoYc05rIaV1qxE1qESn5bTmCFYt03fI5Asr8h+RTSb+jPma2W5sxCUr+hIk35aoyvGSkMCH9c5m3/bXodd+KXwOKCefKu+4BreYjjBQkRmcS3J5lTiOEu5w8SZAebY/s57qdkqd4E0ui6yT1QvzRw8bIqNfMdXtu6R7rvv0GWqLWzai7WvD8Em+OHL/znOiFtKuNlY+6WHk/H61Q7XLl9zo9zFf4Gn3MqY0dWZgor4zpii+8uUiJmnGRGB8uzXrRRP5mkjeRWZ5O+VLWrTXlcqZB2pjnFC9x90AR4fLurjq9uU+YfvTW6PUIa1OTNRwlzMalKj9gW1rMSl1c24dk7cXa3SixdqKqnUJTt3cLY7+lhYzI+iWCy9nI1rbs3VKUwmdhJIW+kDd6q+JDm+YX8ODfQLiiQ83RJ3fYBv/2lmiJ3bdwG+KlKsuMZkA1aAsGK7F3qPpZblGvo5cWdZu+Dwd/HjHompM+pp20qeySMi+5Td2f/iuyApmIWOlNy+Z9sLnwPVnn1KQ/MVk2vjex0N/cadoXzcGnJ2Uu/nzkuQbXi6HQ34Bq1gdNne9BmUMTHvoeg9+Ym9bNedmc6vW1zsWXh9wF9ImLxuHJX3WsYtr5WKjMGpG3zwGtw7CGut4t/td+aD6GU3Nevtxy+q7ZC49Rl+0ilZFFf7j5mjHcfGZzNUd/nmnRO+MtuflJvy9oNFKp1Zu3Tx/9UTMHNK+FkHlQXjqJt2eRkdeXCp4LuGRIxb/F3y7w30Z4WdCokqMJJX1OUU1Nt+Cp6W9cunqnP/ORydCpkqlMzcQRbboR2xL74jb8tgoPsOntUPldSvkvYt3fmh1A7ZCsh86iy8xBl+oiyn6YU7QBvZv7s1US411eebe3AzV4Fn5AtXjP9x61x7u+nVLfqr9BItf61yIVg1JEsnq6Z9ZVD3pQPnmTOSD9Pd+A7tLLLJa8eTb2OFvU96dWJVrQJ/zNgl4lvmdJ2ae5OlVn9XhygDfswyI/FIjfUV2o7DzuuRznw0rOhyucc9JOmcNr67P6u1lVXFoWl0GROztV7VKKs815Xn1udKeSi7yDXo8f1eBHlpRt0v4JRcKZqM/mzWtozpVM9gnrROhMpNQDxplhMd71ke1pDa9Tj/7frUTftSTdA1l6lP8O6IQtI3qJ0s0uSS9vOtZnUu/USKu/RylpmruOZh7oW4v1WfpEzTuZudD/d8GC1gPupvpmIpc9iSro9OhGYESU5B3JekpDRp4hS2HESqJmKv0/Ep/TTyALn91Uhc9vFP+PxPHW9Ru/v/7pg5sbX26r/1HiffFL8StxFezjZ+JLGIlDcQSc/iT+LP4i/rr99+3/tN5tvSebvnNBYX4hSj+tD/4LV8z5XA==</latexit> ||d||2p 1 "k <latexit sha1_base64="LXszBpp0uOZgr5r45tsOcMvo/sg=">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</latexit> C(1 e | |d| | p 1 " )k
  41. Hilbert vs Mirror Analysis <latexit sha1_base64="HgbzUxOjfBog8xcC8c+lRFgA1iQ=">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</latexit> Theorem: <latexit sha1_base64="Fo36Govvl7SLdYwIfThuT/Rfmqo=">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</latexit> 8

    > > < > > : <latexit sha1_base64="MwXA7BWimeWxVVM0J3q1pg8adKw=">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</latexit> |W(k)(↵, ) W" p (↵, )p| 6 <latexit sha1_base64="ym+1vwu7caeBR8jX/pSLDpbHw5A=">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</latexit> (Pinsker) <latexit sha1_base64="oSRMoISiqyF5QqnMGPIkZfPFlpE=">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</latexit> [Altschuler et al 2017] <latexit sha1_base64="AF5/WEibbrBBLSULZXd5jxaC8nM=">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</latexit> k def. = Wp ",p (↵, ) W(k)(↵, ) <latexit sha1_base64="t0Q52zQfZWM1Bndx3LadXDLljfk=">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</latexit> k k+1 = "KL(↵|(⇡k)1) + "KL( |(⇡k)2) <latexit sha1_base64="I4r/99Ygmtz0OAmh479Hqhaht2k=">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</latexit> > "||↵ (⇡k)1 ||2 1 + "|| (⇡k)2 ||2 1 <latexit sha1_base64="EVotC+Rbw8i268je+5MGKXbAFFk=">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</latexit> (||fk ||V , ||gk ||V 6 ||d||p 1 ) <latexit sha1_base64="i7kvCEl4GjEOFWFNDplXaFyLBDU=">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</latexit> > " ||d||2p 1 2 k <latexit sha1_base64="PY0tg7zb0D6GM9zLY7V55lIuW94=">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</latexit> ||d||2p 1 "k <latexit sha1_base64="XNTXcDZgz9qEYQGRiTECYNqt4B0=">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</latexit> Proposition: <latexit sha1_base64="khAXsjYAZa9k9xN+ghEAuxw2Rhk=">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</latexit> for ↵ = 1 n P i xi <latexit sha1_base64="lmXLEbs0pi1MK2LZ3xo8tjOAWoM=">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</latexit> " = log(n) <latexit sha1_base64="cDtY2XCP3cKObBdSCfJozi4kQbo=">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</latexit> operations <latexit sha1_base64="wxIkFQiLQEte9Awwi+EFEaIXLQY=">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</latexit> |W",p p Wp p | 6 " log(n) <latexit sha1_base64="1wVh5UE+TtsJBCTgiGmMKF04SHc=">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</latexit> |W(k) Wp p | 6 <latexit sha1_base64="TrqlCnH7ykbCcnLv/2nTeGY9u/k=">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</latexit> in n2 log(n)||d||2p 1 /"2 <latexit sha1_base64="LXszBpp0uOZgr5r45tsOcMvo/sg=">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</latexit> C(1 e | |d| | p 1 " )k
  42. Overview • Entropic Regularization and Sinkhorn • Convergence Analysis •

    Unbalanced OT & Barycenters • Sinkhorn Divergences • Generative Model Fitting
  43. [Liereo, Mielke, Savar´ e 2015] Unbalanced OT [Chizat, Schmitzer, Peyr´

    e, Vialard 2015] [Kondratyev, Monsaingeon, Vorotnikov 2015] <latexit sha1_base64="tqgdYrAB1bcfwx8leLCnnwuMU4w=">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</latexit> <latexit sha1_base64="tqgdYrAB1bcfwx8leLCnnwuMU4w=">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</latexit> <latexit sha1_base64="tqgdYrAB1bcfwx8leLCnnwuMU4w=">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</latexit> <latexit sha1_base64="tqgdYrAB1bcfwx8leLCnnwuMU4w=">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</latexit> See also: <latexit sha1_base64="TXSZqCOf4mLtBleyEDqhJKgnTmc=">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</latexit> <latexit sha1_base64="TXSZqCOf4mLtBleyEDqhJKgnTmc=">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</latexit> <latexit sha1_base64="TXSZqCOf4mLtBleyEDqhJKgnTmc=">AABByXictVzbchu5EYU3t7Vz8yaPeZlE65Q35TiSslVJZStVK0uyrBVtyyYl27u0XbyMKNpDDs0hZdlcPeUT8pp8S74jf5A85RfSF2CAITHTGMUxShIGxOlu9ACN7gbo7iQZZrP19X9e+eg73/3e93/w8dVrP/zRj3/y0+uf/Ow4S+fTXnzUS5N0+rTbyeJkOI6PZsNZEj+dTOPOqJvET7qvt/HzJ2fxNBum49bs3SR+PuoMxsOTYa8zg6ZnzTiOOkmW/unl9bX12+v0L1qtbOjKmtL/DtNPoiPVVn2Vqp6aq5GK1VjNoJ6ojsqgfKM21LqaQNtztYC2KdSG9HmsLtQ1wM6hVww9OtD6Gn4P4Okb3TqGZ6SZEboHXBL4mQIyUjcAk0K/KdSRW0Sfz4kytpbRXhBNlO0d/O1qWiNonalTaJVwpmcoDscyUyfqjzSGIYxpQi04up6mMietoOSRM6oZUJhAG9b78PkU6j1CGj1HhMlo7KjbDn3+L+qJrfjc033n6t8k5Q0okWrq0ac5hY46I/oRvc05fMbyJMB5ABRiPUasvSVdj2j0Y+i/gPYHUC6oZnTShbKg1otK5DYUH3JbRO5B8SH3RGQDig/ZEJGHUHzIQ41E7JR07sc3ofjwTZHzIyg+5CMR+RiKD/lYRB5D8SGPReTXUHzIr0XkXSg+5F0ReQDFhzwQkS0oPmRLRB5B8SGPROQuFB9yVyPLV+oUSkp0hsKq3IJ6kQdaigRatkT57pB19GHvBKzpXglWXtU78NeP3QnQaVyC3Q2YdyclWHnm7YGN9GNlW3SPdhMf9p6I3YcZ4Mfui9iv1KsS7FcBK+11CVZeaw3o58fK1vc+PPmx90XsA6j5sfIe9RBa/NiHATvGpAR7KGIfqTcl2BCrPy3Byna/CXbFj5X3qRb092NDrOm8BCvb02PwYPxYebd6Aq1+7BMR+1Sdl2CfithnYN392GcBO+z7EqzZY6/RDjIgfySGFVtFrZOvSqxNgFpH4J/ke0tCvnEX2iXMIMcMCDMSEXs5Yi8Q0cgRjWC5styOZuTvylyaOaIZiOjmexPWZmL/ft4fa0kAYidH7CwhqjxSfNdmLGfkXZgWCTnLdy6shYwpze031mI9H6otr0E8LCB4bp/SzL9F0RJGUKipKmqn+R7PyIieqxBvKXozozQ8ZNwstwou6lxEdT2oroh650G9E1FzD2ouos48qDMRZVe+i2sHzACrf3wXC3riGcA+cnmJwCvYgl3nHqzRCObPIXiBj6nlIfxtUuwtlSrJMJrHfRKzHM8LlngKtYVag3YbFe5QfJ3QCotBMu75UMf4+IS5jYVec2yFL/KdPMozJuF0hiTPIKeD3mJE66kenQNquSDvjmv18PfydW9q9fC7pPEL8uK5Vg8/09LPLiF7S2Nbl8A2YTVNtPZtvS4Nzr8wDVO/RrsuWlx8qyM9Z5DeeU36+/rN7F/ivWxTjfVj6/VoZM74ssL46tCwes4cPdejgt4Te72mFtUeyVjHvbZeV4aUdtGxlsM+1X0z2Kev34yp16NxCB7XNsXcC6ded/ZO8tHYej0ax4rznhfkyZt6PRoDemZ92Ho9Gpht6eg439brWnbUAMfOtl7Xqo8pC4w5IJ7z3GK9oin5SXNNbUj+QXW2xvX5V/cxzNm8yGOEakrWty2n0833smqJjL8Qg1Wb1ZQD/Yu544MVaSzUphhfsQyzwv6+Ssfu8aj5BmgxgtXPZwBSzjwBCU1OAq13AhQ3xKirODKD2xRxOEtOllBt3ToTvUXLl7NGxbaX1CrFZXa0Vo9tstcZzb0J+YQN0qykh0bpGy6jKGmoUdCQTK+O7t7r9VrU/rqImywhJvlM69GJEJ+kVcepPq03HR3f0Kc8Myh85mPnL2abT7S1wZgnJVuEslTxdPuZPJLbhvvqLWVz3PxZRG8U7dUZWY0hnUhlYhRqssXsjS/o2dI+ojM55ME0evAeI01lovjUDLPomE+PyKK69lbijfoyGTquZ2R1jT2uRg8c9MCDrh/jbMOO8QBqLYgZjuCpFRDlXMt1lZLGp+q3+eloSm+wOqJPChbS0GB7ExcsZFWUfVqg8hbQOBs4Sg+nsUzH4NsrlOSo3yePjV2Llv8Gndya8+0OzfHy2VyeiekT103iGtGq4VNdflrmwBIsvJ9skv9aPUrkV4cj2lCJ6wuHM+tlTCf+MUWwE/KME1pt0uoo9nbzU8ufGE6Hypyd42l2ShYyIvsXwf6U0pyM6Me9O2BO0NkiJGQjQ+zOMPdufL7OUJxj1o8bKr7VYOdbTLZsTvwNXXd1ZTQXOWLgfeBiaW4bnTTIF4yJ61Rbd7u2q3cfRNp7Eu4sYYp2rtwk/p/Rb/Nj5snayoxADeMbyLSt872PlGIW1FGHdvlqG2T6ulJ+msvwQktt9z8r06cFyXYo4kJ5cLfuA+cePTMvnCVTkjtb6cP7aFU2FylPlvSIoz2hKJ7t/kDvwCj3Ldol12jNtWmWDGAWzPIowvSVssjLfKt5FamH0c7+L9StrotaQ4qRshlc1pCU348pWnOlTGBW8/x9TavJr/XpUq9qPmOaiyNnLX8Lrb+E30Zu8xxGp1uwCndoDjAF+2Q1wi3RSo8wXncKvMzMNLTss+Vn56Tp5bZcJr5m62Zj7LPaVA5p1pzrrIWpX4bGK4fGq0Adtuis0WrRtBtL9FKMLVr6tDKUXx1urRqU5yJl2SMzqGGAlG4sFUa1L1KVY3yDei/SWhdpdWC1uqcB7poPQfrX+vLq/jbf3SN1l3ybHnlgHL/0aZUOyecyrdWRGlNAzp9r++qu/ja1IPcuWVCkzPc4ccXwqVOPykUu6a/1zpaSnbcWwdxbeqv7GBvbpvrvV5AjWhMZrUuD+Jx6xFp+V45oySLddnyOiDL/HfKp2O+ojpnd3vadRAV/wsabvKosL44UxqR/KfO2vxK97jvxa0Qx4Vx7112gVf8NIwXGmEyC37PM6A3hLscnCezRdsl+rtopPsUbOxLdJqkX6s8BNoajXjvX3bllRmzG9hvoiVq3b93XQ+aXBHOU+F3mRK9Du9pI+6iLpefL0eroXa74XKWH+RJfq4859XEjCxvlFTFt9UUwF5aoHhfGhHCpN4o68teTvI7MfDoVStn0NpSLmQa2MacUL0n3QBHh8+5uer25z4RxdFfodQnrUuMWiRJm41KdH3AtLWalrq7sQ9x6tXI3SpydqGynMNTd3cLab7aQMVm/REk5G+7tyt4uRClyFoYp9BTf6C2LD12aX0DB35HyRYeGY0jusAn+7ZbaVrsf4DbEG13njGZELWgL+kuxd0ePs9ijWkdvHOou/RAO4TyGoGtJ+iHtpHVlZ8qy5C71cPpvyQpMVSxKb3vWH4PLRR7JKqc64xmSZZNHM1Tmuzh1x2I4hIykyCWcD59rSKM4UeY7TfXGYKjLIyhyqMPD3GMIe+e2d31eLqdqfa1yCeXBu4A5cTE4PPkrj1VsvxALNXXeyIfngNbhpIK62S3+13EYPpZTfV6h3DL6rtmrgLfO/WKdkUV/uP6asdxCZnM5x3CeaT466y35+bHfF9V6U6kzmg9PH/1ROwcMr4XiPKgsHePdWWTlDaWC5wI+GVL1H/WPK/K3Ed7kNMrkqEPJnFOUUzM9ZGrmG5e+0ZnPQmSydMpkKlKzcUSTbsRuq311F362cw+w7u1Q/i4l/0Ws//uzfWg9IethsuicOWhTW0zZD3uK1qdne3+2TGK8y8t3e1vQgmfhDWrFe74PqD/e9W0Vxlb+DRJe6/dVqvqFiGT5dM+uqy6MoHjyxjkg8z3fiO7ScxaLb56NAs4Wzf2pZYkW9Il8s6Bbiu86UvZork70WT2eHOAN+06eH4rU76ito+087rkS58NSzodLnDPSTpHDufNZ9d2sMi7bDpd+njs70/1SirPteV51bnSnlAvfQa/GDyrwA0fKJmn/NUXCU1WdzZtX0JxrmdwT1rEymUjWA8aZnfx9V0e2ZxW8zgLGf1CKPnAk3QNZupT/juiEbUr0Eq2bXZKebzpWZ1LvVUirv0f58vraxvL/ZbBaOd68vbF+e+PR5tqXd/T/c/Cx+oX6lboJa/wP6kugdqiOgMNI/VX9Tf1962Drzdb51nvu+tEVjfm5Kvzb+st/ATYSo5g=</latexit> <latexit sha1_base64="TXSZqCOf4mLtBleyEDqhJKgnTmc=">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</latexit> <latexit sha1_base64="SodWyD0ymCfg+b36AwGNUE2efmw=">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</latexit> min P>0 P i,j (d(xi, yj))Pi,j + ⌧ KL(P1|a) + ⌧ KL(P>1|b) <latexit sha1_base64="Ez3V/73yjFQC/ln/Bf5BLBm9XJ4=">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</latexit> UOT(↵, ) def. = <latexit sha1_base64="2BG+fXDMckua8p6euAVwBKitv1k=">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</latexit> ⇢ <latexit sha1_base64="eFr1nZV0iNkS1slLBooI2QgaRDU=">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</latexit> ⇡1 <latexit sha1_base64="UAQujH7B43YKz5dueopIEdx7cf4=">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</latexit> ⇡2 <latexit sha1_base64="SnSuVb3Vjx5PUrXG/cP7MHxWGk0=">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</latexit> <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="vTWjvPBuVpUk9Xxz732SDCXW3lw=">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</latexit> ↵ <latexit sha1_base64="SnSuVb3Vjx5PUrXG/cP7MHxWGk0=">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</latexit> <latexit sha1_base64="eFr1nZV0iNkS1slLBooI2QgaRDU=">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</latexit> ⇡1 <latexit sha1_base64="UAQujH7B43YKz5dueopIEdx7cf4=">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</latexit> ⇡2 <latexit sha1_base64="qBCv6072o76apQ8ld6PFTugK1AE=">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</latexit> 10 2 <latexit sha1_base64="2lgZEkUBb/V/asH89iHgu6fVhAg=">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</latexit> 1 <latexit sha1_base64="aWCTnOzWpPxZmmNAHkstQdITobU=">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</latexit> 102 <latexit sha1_base64="ej4g3QqAe385j3cN0W6App8+uZM=">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</latexit> 10 1 <latexit sha1_base64="Beaxu5u1dZ0i/XKJKIve9+2YBzU=">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</latexit> P <latexit sha1_base64="Beaxu5u1dZ0i/XKJKIve9+2YBzU=">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</latexit> P <latexit sha1_base64="Beaxu5u1dZ0i/XKJKIve9+2YBzU=">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</latexit> P <latexit sha1_base64="Beaxu5u1dZ0i/XKJKIve9+2YBzU=">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</latexit> P
  44. Geodesic Unbalanced OT ↵ <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit> <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit> <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit>

    <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">AABEJnictVxLcxu5EYY3r7Xz8ibHXGajdcqb8jqS46qkaitVa1OyrLVsy0tK9u7SdnHIEU17xKE5JP3gqvJHck0q/yL/ILdUKrcck1P+QvoBDDAkZhqjOEZJwoD4uhs9QKO7ATqepKN8trn5j3Pvfevb3/nu994/f+H7P/jhj3588YOfHOXZfNpPDvtZmk0fxb08SUfj5HA2mqXJo8k06Z3EafIwftHCzx8ukmk+ysad2ZtJ8vikNxyPjkf93gyanl682CUayzidJ6dRN06eXtzYvLpJ/6L1ypaubCj97yD74MPfq64aqEz11VydqESN1QzqqeqpHMrXakttqgm0PVZLaJtCbUSfJ+pUXQDsHHol0KMHrS/g9xCevtatY3hGmjmh+8AlhZ8pICN1CTAZ9JtCHblF9PmcKGNrFe0l0UTZ3sDfWNM6gdaZegatEs70DMXhWGbqWP2WxjCCMU2oBUfX11TmpBWUPHJGNQMKE2jD+gA+n0K9T0ij54gwOY0dddujz/9FPbEVn/u671z9m6S8BCVSbT36rKDQUwuiH9HbnMNnLE8KnIdAIdFjxNor0vUJjX4M/ZfQfg/KKdWMTmIoS2o9rUW2oPiQLRG5C8WH3BWR+1B8yH0ReQDFhzzQSMROSed+fBuKD98WOT+A4kM+EJFfQPEhvxCRR1B8yCMR+RUUH/IrEXkLig95S0TegeJD3hGRHSg+ZEdEHkLxIQ9F5A4UH3JHI6tX6hRKRnRGwqq8AfUyD7QUKbTcEOW7SdbRh70ZsKb7FVh5VW/DXz92O0CnSQV2J2DeHVdg5Zm3CzbSj5Vt0W3aTXzY2yJ2D2aAH7snYj9XzyuwnwestBcVWHmt7UM/P1a2vnfhyY+9K2LvQc2Plfeo+9Dix94P2DEmFdgDEftAvazAhlj9aQVWtvttsCt+rLxPdaC/HxtiTecVWNmeHoEH48fKu9VDaPVjH4rYR+p1BfaRiP0SrLsf+2XADvu2Amv22Au0gwzJH0lgxdZR6xWrEmsToNYT+KfF3pKSbxxDu4QZFpghYU5ExG6B2A1E7BeI/WC58sKO5uTvylzaBaIdiIiLvQlrM7H/oOiPtTQAsV0gtlcQdR4pvmszlgV5F6ZFQs6KnQtrIWPKCvuNtUTPh3rLaxD3Swie289o5l+haAkjKNRUHbVnxR7PyIie6xCvKHozozQ8ZNyssAou6rWIij2oWES98aDeiKi5BzUXUQsPaiGi7Mp3cd2AGWD1j+9iSU88A9hHri4ReAU3YNe5DWs0gvlzAF7gF9RyH/62KfaWSp1kGM3jPolZjsclSzyF2lJtQLuNCrcpvk5phSUgGfe8r2N8fMLcxlKvObbCp8VOHhUZk3A6I5JnWNBBbzGi9dSMzh1qOSXvjmvN8LeLdW9qzfA7pPFT8uK51gw/09LPziB7R2M7Z8C2YTVNtPZtvSkNzr8wDVO/QLsuWlx8qyd6ziC91w3p7+k3s3eG99KiGuvH1pvRyJ3x5aXxNaFh9Zw7em5GBb0n9npNLWo8krGOe229qQwZ7aJjLYd9avpmsM9AvxlTb0bjADyuFsXcS6fedPZOitHYejMaR4rznqfkyZt6MxpDemZ92HozGpht6ek439abWnbUAMfOtt7Uqo8pC4w5IJ7z3GK9oin5SXNNbUT+QX22xvX51/cxzNk8KWKEekrWt62mExd7Wb1Exl9IwKrNGsqB/sXc8cHKNJbqmhhfsQyz0v6+Tsfu8aj5fdBiBKufzwCknHkKEpqcBFrvFChuiVFXeWQGd03E4Sw5XkF1detM9BYtX84aldueUqsUl9nRWj12yV7nNPcm5BPuk2YlPexXvuEqipKG9ksakuk10d1bvV7L2t8UcZMVxKSYaX06EeKTtPo41af1tqPjS/qUZwaFz3zs/MVs87G2NhjzZGSLUJY6nm4/k0dy23BfvaJsjps/i+iNor1akNUY0YlULkahJlvM3viSni3tQzqTQx5Mow/vMdJUJopPzTCLjvn0iCyqa28l3qgvk6Hjek5W19jjevTQQQ896OYxTgt2jHtQ60DMcAhPnYAo50Khq4w0PlWfFKejGb3B+og+LVlIQ4PtTVKykHVR9rMSlVeAxtnAUXo4jVU6Bt9doyRH/T55bOxatvyX6OTWnG/3aI5Xz+bqTMyAuF4jrhGtGj7V5adVDizB0vvJNfJf60eJ/JpwRBsqcX3icGa9jOnEP6EIdkKecUqrTVod5d5ufmr1E8PpQJmzczzNzshCRmT/ItifMpqTEf24dwfMCTpbhJRsZIjdGRXejc/XGYlzzPpxI8W3Gux8S8iWzYm/oeuurpzmIkcMvA+crsxto5N98gUT4jrV1t2u7frdB5H2noQ7S5iinSuXif/H9Nv8mHmysTYjUMP4BnJt63zvI6OYBXXUo12+3gaZvq6UHxUyPNFS2/3PyvRRSbJtirhQHtytB8C5T8/MC2fJlOTO1/rwPlqXzUXKkxU94miPKYpnuz/UOzDKfYV2yQ1ac12aJUOYBbMiijB9pSzyKt96XmXqYbTz/wt1q+uy1pBipGwGlzUk5fcTitZcKVOY1Tx/X9Bq8mt9utKrns+Y5uKJs5a/gdYP4beR2zyH0YlLVuEmzQGmYJ+sRrglWusRxutmiZeZmYaWfbb87Jw0vdyWs8TXbN1sjL1oTOWAZs1rnbUw9bPQeO7QeB6oww6dNVotmnZjiZ6KsUVHn1aG8mvCrdOA8lykLHtkBjUKkNKNpcKoDkSqcoxvUG9FWpsirR6sVvc0wF3zIUj/Wl9d3d8Uu3ukbpFv0ycPjOOXAa3SEflcprU+UmMKyPm6tq/u6u9SC3KPyYIiZb7HiSuGT536VE4LSX+hd7aM7Ly1CObe0ivdx9jYLtV/vYY8oTWR07o0iOvUI9Hyu3JEKxbpquNzRJT575FPxX5Hfczs9rbvJCr5Ezbe5FVleXGkMCb9S5m3vbXodc+JXyOKCefau46BVvM3jBQYYzIJfs8ypzeEuxyfJLBHG5P9XLdTfIo3diS6SlIv1e8CbAxHvXauu3PLjNiM7ZfQE7Vu37qvh8wvDeYo8TvLiV6PdrUT7aMuV57PRqund7nyc50e5it8rT7m1MeNLGyUV8Z01afBXFiiZlwYE8Kl2SiayN9M8iYy8+lUKGXT21AuZxrYxjyjeEm6B4oIn3d32evNfSyMI16jFxPWpcYtEiXMxmU6P+BaWsxKnV/bh7j1fO1ulDo7UdVOYai7u4W132whE7J+qZJyNtzblb1bilLkLAxT6Cu+0VsVH7o0P4WCvyPliw4Nx5DcYRv82xuqpXbewW2Il7rOGc2IWtAWDFZi754eZ7lHvY5eOtRd+iEcwnmMQNeS9CPaSZvKzpRlyV3q4fRfkRWYqkSU3vZsPgaXizySdU5NxjMiyyaPZqTMd3GajsVwCBlJmUs4Hz7XkEZxrMx3mpqNwVCXR1Dm0ISHuccQ9s5t7+a8XE71+lrnEsqDdwFz4mJwePJXHavYfiEWauq8kXfPAa3DcQ11s1v8r+MwfCyn5rxCueX0XbPnAW+d+yU6I4v+cPM1Y7mFzOZqjuE8s2J01lvy82O/L2r0pjJnNO+ePvqjdg4YXkvFeVBZOsa7s8jKG0oFzwV8MmTqP+ov5+RvI7wsaFTJ0YSSOaeopmZ6yNTMNy59ozOfhchk6VTJVKZm44g23YhtqT11C35ahQfY9HYof5eS/yLW//3ZAbQek/UwWXTOHHSpLaHshz1FG9CzvT9bJTHe5eW7vR1owbPwfWrFe773qD/e9e2Uxlb9DRJe63dVpgaliGT1dM+uqxhGUD554xyQ+Z5vRHfpOYvFN89OAs4Wzf2pVYmW9Il8syCuxMeOlH2aqxN9Vo8nB3jDvlfkhyL1K2rraTuPe67E+aCS88EK55y0U+bw2vms/m5WFZeWw2VQ5M4Wul9GcbY9z6vPjW5XcuE76PX4YQ1+6EjZJu2/oEh4quqzefMamnMtk3vCOlYmE8l6wDizV7zv+sh2UcNrETD+O5XoO46kuyBLTPnviE7YpkQv1brZIen5pmN9JvV2jbTme5RM0951tPPA3Fqsz9Knet5x5sL8bwRLWg+4m5qbiVL2JKmgE9ONwIQo8R1J6dxAlkeWJkQWicpclGQe8O3dRYAsiwA6x4I0xyKFoSiJXsFPL25srf7/GOuVo2tXtzavbj24vvHZTf1/Z7yvfqZ+ri7DvvEb9RnM0AN1CJwW6g/qj+pPrT+3/tr6W+vv3PW9cxrzU1X61/rnfwGeAyFB</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> Hellinger <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">AABE6XictVzbchxJES0vt8XcvPDISy9aE15CGEksAREbRKytkSWtZVv2jGR7LdsxPdMaj9UzPZ6bL7P6CIIXgoAnPoTv4AOIgCd+gbxUdVXPVHdWC+MOSdXVdTKzsquyMrOqHY/S/mS6sfGPSx9845vf+vZ3Pvzu5e99/wc//NGVj358PMlm405y1MnSbPwobk+StD9Mjqb9aZo8Go2T9iBOk4fx2TY+fzhPxpN+NmxN346Sp4N2b9g/7XfaU6h6vJekgOwl4+dX1jaub9C/aLWwqQtrSv87zD76+J/qRHVVpjpqpgYqUUM1hXKq2moC1xO1qTbUCOqeqgXUjaHUp+eJOleXATuDVgm0aEPtGfzuwd0TXTuEe6Q5IXQHuKTwMwZkpK4CJoN2Yygjt4iez4gy1pbRXhBNlO0t/I01rQHUTtULqJVwpmUoDvsyVafqd9SHPvRpRDXYu46mMiOtoOSR06spUBhBHZa78HwM5Q4hjZ4jwkyo76jbNj3/F7XEWrzv6LYz9W+S8ipckWrq3mc5hbaaE/2I3uYMnrE8KXDuAYVE9xFLr0nXA+r9ENovoP4uXOdUMjqJ4VpQ7XklchsuH3JbRO7C5UPuisgDuHzIAxF5CJcPeaiRiB2Tzv34Jlw+fFPkfB8uH/K+iHwAlw/5QEQew+VDHovIr+DyIb8Skbfg8iFvicjbcPmQt0VkCy4fsiUij+DyIY9E5A5cPuSORpbP1DFcGdHpC7PyBpSLPNBSpFBzQ5TvJllHH/ZmwJzulGDlWd2Av35sI0CnSQl2J2DcnZZg5ZG3CzbSj5Vt0R6tJj7snojdhxHgx+6L2C/VyxLslwEz7awEK8+1A2jnx8rW9w7c+bF3ROxdKPmx8hp1D2r82HsBK8aoBHsoYu+rVyXYEKs/LsHKdr8JdsWPldepFrT3Y0Os6awEK9vTY/Bg/Fh5tXoItX7sQxH7SL0pwT4SsY/BuvuxjwNW2HclWLPGXqYVpEf+SAIztopaO5+VWBoBtbbAP83XlpR84xjqJUwvx/QIMxARuzliNxBxkCMOguWa5HZ0Qv6uzKWZI5qBiDhfm7A0Fdt38/ZYSgMQjRzRWEJUeaT4rk1f5uRdmBoJOc1XLiyF9CnL7TeWEj0eqi2vQdwrIHhsv6CRv07REkZQqKkqai/yNZ6REd1XIV5T9GZ6aXjIuGluFVzUGxEVe1CxiHrrQb0VUTMPaiai5h7UXETZme/iTgJGgNU/vosF3fEIYB+5/IrAK7gBq84ezNEIxs8heIEPqOYe/G1S7C1dVZJhNI/rJGY5nhYs8RhKC7UG9TYqbFB8ndIMS0AybnlPx/h4h7mNhZ5zbIXP85U8yjMm4XT6JE8vp4PeYkTzqR6d21RzTt4dl+rh9/J5b0r18Duk8XPy4rlUDz/V0k8vIHtLY1sXwDZhNo209m25Lg3OvzANU75Mqy5aXHyrAz1mkN6bmvT39ZvZv8B72aYS68eW69GYOP2bFPpXh4bV88TRcz0q6D2x12tKUe2eDHXca8t1ZchoFR1qOexd3TeDbbr6zZhyPRqH4HFtU8y9cMp1R+8o740t16NxrDjveU6evCnXo9Gje9aHLdejgdmWto7zbbmuZUcNcOxsy3Wt+pCywJgD4jHPNdYrGpOfNNPU+uQfVGdrXJ9/dR3DnM2zPEaopmR923I6cb6WVUtk/IUErNq0phzoX8wcH6xIY6G2xPiKZZgW1vdVOnaNR80fgBYjmP28ByDlzFOQ0OQk0HqnQHFTjLqKPTO4LRGHo+R0CXWia6eit2j5ctaoWPecaqW4zPbW6vGE7PWExt6IfMID0qykh4PSN1xGUdLQQUFDMr06unun52tR+xsibrSEGOUjrUM7QryTVh2n+rTedHR8Ve/yTOHiPR87fjHbfKqtDcY8GdkilKWKp9vO5JHcOlxX15XNcfOziN4o2qs5WY0+7UhNxCjUZIvZG1/QvaV9RHtyyINpdOA9RprKSPGuGWbRMZ8ekUV17a3EG/VlMnRcnpDVNfa4Gt1z0D0Pun6Msw0rxl0otSBmOIK7VkCUcznXVUYaH6tf5rujGb3B6og+LVhIQ4PtTVKwkFVR9osCldeAxtHAUXo4jWU6Bn+yQkmO+n3y2Ni1aPmv0s6t2d9u0xgvH83lmZgucd0irhHNGt7V5btlDizBwvtki/zX6l4ivzoc0YZKXJ85nFkvQ9rxTyiCHZFnnNJsk2ZHsbWbn1p+YjgdKrN3jrvZGVnIiOxfBOtTRmMyoh/37IDZQWeLkJKNDLE7/dy78fk6fXGMWT+ur/hUgx1vCdmyGfE3dN3ZNaGxyBEDrwPnS2Pb6OSAfMGEuI61dbdzu3r1QaQ9J+GOEqZox8o14v8p/TY/ZpysrYwI1DC+gYm2db73kVHMgjpq0ypfbYNMW1fKT3IZnmmp7fpnZfqkIFmDIi6UB1frLnDu0D3zwlEyJrknK214Ha3K5iLl0ZIesbenFMWz3e/pFRjlXqdVco3m3AmNkh6MgmkeRZi2UhZ5mW81ryL1MNqT/wt1q+ui1pBipGwGlzUk5fcTitZcKVMY1Tx+z2g2+bU+XmpVzWdIY3HgzOWvofZj+G3kNvdhdOKCVbhJY4Ap2DurEa6JVlqE8bpZ4GVGpqFl7y0/OyZNK7fmIvE1WzcbY89rUzmkUfNGZy1M+SI0Xjo0XgbqsEV7jVaLpt5YoudibNHSu5Wh/Opwa9WgPBMpyx6ZQfUDpHRjqTCqXZGqHOMb1DuR1oZIqw2z1d0NcOd8CNI/15dn99f56h6pW+TbdMgD4/ilS7O0Tz6Xqa2O1JgCcv5M21d39p9QDXKPyYIiZT7HiTOGd506dJ3nkv5cr2wZ2XlrEcy5pde6jbGxJ1T+9QpyQHNiQvPSID6jFomW35UjWrJI1x2fI6LMf5t8KvY7qmNmt7V9J1HBn7DxJs8qy4sjhSHpX8q87a9Er/tO/BpRTDjT3nUMtOq/YaTAGJNJ8HuWE3pDuMrxTgJ7tDHZz1U7xbt4Q0ei6yT1Qv0+wMZw1GvHuju2TI9N334BLVHr9q37Wsj80mCOEr+L7Oi1aVUbaB91sXR/MVptvcoV76v0MFvia/UxozZuZGGjvCLmRH0ezIUlqseFMSFc6vWijvz1JK8jM+9OhVI2rQ3lYqaBbcwLipekc6CI8Hl317ze3KdCP+IVejFhXWpcI1HCbFym8wOupcWsVLQUIbn10pqUOutR2XphebirhrXjbCkTsoKpknI33Nrtw0khWpGzMUyho/hkb1mc6NL8HC78HSlflGg4huQQm+Dn3lDbauc9nIp4pcuc2YyoBm1CdykGb+t+FltU6+iVQ92lH8IhnEcfdC1J36cVta7sTFmW3KUeTv81WYOxSkTpbcv6fXC5yD1Z5VSnP32ycHJv+sp8k1O3L4ZDSE+KXML58P6G1ItTZb5tqtcHQ13uQZFDHR7mPEPYO7et6/NyOVXra5VLKA9eB8zOi8HhDmB5zGLbhViosfNG3j8HtA6nFdTNavG/9sPwsZzq8wrlNqFvzl4GvHVul+jMLPrF9eeM5RYymss5hvPM8t5Zr8nPj/2/qNabypzevH/66JfaMWB4LRTnQ2XpGO+OIitvKBXcH/DJkKn/qL9fkr9KeJXTKJOjDiWzX1FOzbSQqZkvL329M89CZLJ0ymQqUrPxRJNOxm6rfXULfrZzD7DuKVH+ppL/Itb/HW0Xak/JephsOmcQTqguoSyI3U3r0r09R1smMZ7p5TO+LajBPfEDqsXzvnepPZ75bRX6Vv4lCc/1OypT3UJksrzLZ+dVDD0o7sBxLsh87xvRmXrOZvEJtEHAHiOfo+JIyXz9vCBEl+LCZUkXhDCjpYpy7KUc05mkpIR2XOhbh0b4SO/0474Dns9v59mlSP2K6tp6dcCVWpLq0CPVE8oMxKT/DYjQfqPW4e+6LvslPVyRdELvoCjRG+dZ9Umwc++4sF8zXqU8mMnUzXW7jKJ6u3tYnYltlHLhE+/V+F4FvudI2aS3dUZx91hV5w5nFTRnWiZ3P3eoTN6T9YDRbDsfH9Xx87yC1zyg/7dL0bcdSXdBlpiy7RHt542JXqp1s0PS87nK6rztXoW05qtNpmlPVtpxYM5IVu8JpHrclc9+Pgcp5WqSEjruXOcTmdJpkb6Xkjw/RwGnIdoBvZX7GtJTicpMlGQW8CXyPECWeQCdU0GaU5FCT5RE24fnV9Y2l/+vj9XC8db1zY3rm/e31r64qf8fkA/VT9XP1DVY+36rvoDxf6iOgNNA/VH9Rf21cdb4Q+NPjT9z0w8uacxPVOFf42//BV2MQ0Q=</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> Unbalanced <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> Balanced <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> Wp p (↵, ) <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> ⌧ ! +1 <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> ⌧ ! 0 <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> R ( p ↵ p )2 <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">AABFBHictVxLcxu5EYY3r43z8ibHXGZXdspOeR1J2VRStZWqtUVZ1lq2ZZOSvWvaLj5GNO0Rh+aQ9IPLayo/JpVLKpWckt+RH5Cq5JS/kH4AAwyJmcYoG09JwmDwdTd6gEZ3A+PuOBlm083Nf5x77xvf/Na3v/P+d89/7/s/+OGPLnzw4+MsnU168VEvTdLJo24ni5PhKD6aDqdJ/Gg8iTun3SR+2H25g88fzuNJNkxHrenbcfzktDMYDU+Gvc4Uqp5d+OhieziaRpfb2avJdNHuJDvLj3W5G+8srzzdvvjswsbmtU36F60XtnRhQ+l/h+kHH/5TtVVfpaqnZupUxWqkplBOVEdlcD1WW2pTjaHuiVpA3QRKQ3oeq6U6D9gZtIqhRQdqX8LvAdw91rUjuEeaGaF7wCWBnwkgI3UJMCm0m0AZuUX0fEaUsbaM9oJoomxv4W9X0zqF2ql6DrUSzrQMxWFfpupE/Yb6MIQ+jakGe9fTVGakFZQ8cno1BQpjqMNyH55PoNwjpNFzRJiM+o667dDzf1FLrMX7nm47U/8mKS/BFamm7n2aU+ioOdGP6G3O4BnLkwDnAVCIdR+x9Jp0fUq9H0H7BdTfhWtJJaOTLlwLql1WInfg8iF3ROQeXD7knog8gMuHPBCRh3D5kIcaidgJ6dyPb8LlwzdFzvfh8iHvi8gHcPmQD0TkMVw+5LGI/BIuH/JLEXkTLh/ypoi8DZcPeVtEtuDyIVsi8gguH/JIRO7C5UPuamT5TJ3AlRKdoTArr0O5yAMtRQI110X5bpB19GFvBMzpXglWntUN+OvHNgJ0GpdgdwPG3UkJVh55e2Aj/VjZFt2i1cSHvSVi92EE+LH7IvZz9aIE+3nATHtZgpXn2gG082Nl63sH7vzYOyL2LpT8WHmNugc1fuy9gBVjXII9FLH31asSbIjVn5RgZbvfBLvix8rrVAva+7Eh1nRWgpXt6TF4MH6svFo9hFo/9qGIfaTelGAfidgvwLr7sV8ErLDvSrBmjT1PK8iA/JEYZmwVtU4+K7E0BmodgX+Sry0J+cZdqJcwgxwzIMypiNjLEXuBiIMccRAsV5bb0Yz8XZlLM0c0AxHdfG3C0lRs38/bYykJQDRyRGMFUeWR4rs2fZmTd2FqJOQ0X7mwFNKnNLffWIr1eKi2vAZxr4Dgsf2cRv5VipYwgkJNVVF7nq/xjIzovgrxmqI300vDQ8ZNc6vgot6IqK4H1RVRbz2otyJq5kHNRNTcg5qLKDvzXVw7YARY/eO7WNAdjwD2kcuvCLyC67Dq3II5GsH4OQQv8AHV3IO/TYq9patKMozmcZ3ELMeTgiWeQGmhNqDeRoUNiq8TmmExSMYt7+kYH+8wt7HQc46t8DJfyaM8YxJOZ0jyDHI66C1GNJ/q0blNNUvy7rhUD38rn/emVA+/SxpfkhfPpXr4qZZ+egbZWxrbOgO2CbNprLVvy3VpcP6FaZjyeVp10eLiWz3VYwbpvalJf1+/mf0zvJcdKrF+bLkejczpX1boXx0aVs+Zo+d6VNB7Yq/XlKLaPRnpuNeW68qQ0io60nLYu7pvBtv09Zsx5Xo0DsHj2qGYe+GU647ecd4bW65H41hx3nNJnrwp16MxoHvWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqIssCYA+IxzzXWK5qQnzTT1IbkH1Rna1yff30dw5zN0zxGqKZkfdtyOt18LauWyPgLMVi1aU050L+YOT5YkcZCbYvxFcswLazv63TsGo+aPwAtRjD7eQ9AypknIKHJSaD1ToDilhh1FXtmcNsiDkfJyQqqrWunordo+XLWqFj3jGqluMz21uqxTfY6o7E3Jp/wgDQr6eGg9A2XUZQ0dFDQkEyvju7e6fla1P6miBuvIMb5SOvRjhDvpFXHqT6tNx0dX9K7PFO4eM/Hjl/MNp9oa4MxT0q2CGWp4um2M3kktw7X1avK5rj5WURvFO3VnKzGkHakMjEKNdli9sYXdG9pH9GeHPJgGj14j5GmMla8a4ZZdMynR2RRXXsr8UZ9mQwdlzOyusYeV6MHDnrgQdePcXZgxbgLpRbEDEdw1wqIcs7nukpJ4xP1cb47mtIbrI7ok4KFNDTY3sQFC1kVZT8vUHkNaBwNHKWH01ilY/DtNUpy1O+Tx8auRct/iXZuzf52h8Z4+Wguz8T0ies2cY1o1vCuLt+tcmAJFt4n2+S/VvcS+dXhiDZU4vrU4cx6GdGOf0wR7Jg844RmmzQ7iq3d/NTqE8PpUJm9c9zNTslCRmT/IlifUhqTEf24ZwfMDjpbhIRsZIjdGebejc/XGYpjzPpxQ8WnGux4i8mWzYi/oevOrozGIkcMvA4sV8a20ckB+YIxcZ1o627ndvXqg0h7TsIdJUzRjpXLxP8K/TY/ZpxsrI0I1DC+gUzbOt/7SClmQR11aJWvtkGmrSvlxVyGp1pqu/5ZmS4WJGtQxIXy4GrdB849umdeOEomJHe21obX0apsLlIer+gRe3tCUTzb/YFegVHuq7RKbtCca9MoGcAomOZRhGkrZZFX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCo5vH7kmaTX+uTlVbVfEY0Fk+dufwV1H4Iv43c5j6MTrdgFW7QGGAK9s5qhGuitRZhvG4UeJmRaWjZe8vPjknTyq05S3zN1s3G2PPaVA5p1LzRWQtTPguNFw6NF4E6bNFeo9WiqTeW6JkYW7T0bmUovzrcWjUoz0TKskdmUMMAKd1YKoxqX6Qqx/gG9U6ktSnS6sBsdXcD3DkfgvTP9dXZ/VW+ukfqJvk2PfLAOH7p0ywdks9laqsjNaaAnD/R9tWd/W2qQe5dsqBImc9x4ozhXaceXctc0p/plS0lO28tgjm39Fq3MTa2TeVfriFPaU5kNC8N4hNqEWv5XTmiFYt0zfE5Isr8d8inYr+jOmZ2W9t3EhX8CRtv8qyyvDhSGJH+pczb/lr0uu/ErxHFhDPtXXeBVv03jBQYYzIJfs8yozeEqxzvJLBH2yX7uW6neBdv5Eh0jaReqN8G2BiOeu1Yd8eW6bHp28+hJWrdvnVfC5lfEsxR4neWHb0OrWqn2kddrNyfjVZHr3LF+yo9zFb4Wn3MqI0bWdgor4hpq0+DubBE9bgwJoRLvV7Ukb+e5HVk5t2pUMqmtaFczDSwjXlO8ZJ0DhQRPu/ustebuyL0o7tGr0tYlxrXSJQwG5fq/IBraTErFa1ESG69tCYlznpUtl5YHu6qYe04W8qYrGCipNwNt3b70C5EK3I2hin0FJ/sLYsTXZqfwoW/I+WLEg3HkBxiE/zc62pH7X4NpyJe6TJnNiOqQZvQX4nBO7qfxRbVOnrlUHfph3AI5zEEXUvSD2lFrSs7U5Yld6mH039N1mCiYlF627J+H1wuck/WOdXpz5AsnNyboTLf5NTti+EQ0pMil3A+vL8h9eJEmW+b6vXBUJd7UORQh4c5zxD2zm3r+rxcTtX6WucSyoPXAbPzYnC4A1ges9h2IRZq4ryRr58DWoeTCupmtfhf+2H4WE71eYVyy+ibsxcBb53bxTozi35x/TljuYWM5nKO4TzTvHfWa/LzY/8vqvWmUqc3Xz999EvtGDC8ForzobJ0jHdHkZU3lAruD/hkSNV/1N/PyV8lvMpplMlRh5LZryinZlrI1MyXl77emWchMlk6ZTIVqdl4okknY3fUvroJPzu5B1j3lCh/U8l/Eev/jrYPtSdkPUw2nTMIbaqLKQtid9P6dG/P0ZZJjGd6+YxvC2pwT/yAavG8711qj2d+W4W+lX9JwnP9jkpVvxCZrO7y2XnVhR4Ud+A4F2S+943oTD1ns/gE2mnAHiOfo+JIyXz9vCBEn+LCVUkXhDCjpYpy10u5S2eS4hLa3ULfejTCx3qnH/cd8Hx+J88uReoXVNfRqwOu1JJUhx6pHlNmoEv634QI7VfqKvy9qst+SQ/XJM3oHRQleuM8qz4JtvSOC/s14yXKg5lM3Vy3Symqt7uH1ZnYRikXPvFejR9U4AeOlE16Wy8p7p6o6tzhrILmTMvk7ueOlMl7sh4wmu3k46M6fp5X8JoH9P92Kfq2I+keyNKlbHtE+3kTopdo3eyS9Hyusjpve6tCWvPVJtO0JyvtODBnJKv3BBI97spnP5+DlHI1cQkdd67ziUzptMjQS0men+OA0xCdgN7KfQ3pqURlJkoyC/gSeR4gyzyAzokgzYlIYSBKou3DswsbW6v/18d64Xj72tbmta372xuf3dD/D8j76qfqI3UZ1r5fq89g/B+qI+D0e/VH9Rf118bvGn9o/KnxZ2763jmN+Ykq/Gv87b+wMU0A</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="PU2v3YojpCzTrS/M1GhFIChYt7g=">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</latexit> UOT(↵, )
  45. Geodesic Unbalanced OT ↵ <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit> <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">AABEJXictVxLjxu5EaY3r7XzWG9yzKU3sw68gePMOAYSYBFgbc14POuxPV5pxt5d2YYeLVl2Sy2rJfmhHeSH5JogPyO/ILcgQE65Jqf8hdSDbLIldhd74pjwDJviV1WsJotVRWq602SUzbe3/3HuvW99+zvf/d775y98/wc//NEHFz/88UmWLma9+LiXJunsUbeTxcloEh/PR/MkfjSdxZ1xN4kfdl808POHy3iWjdJJa/5mGj8ed4aT0WDU68yh6enFD9pEYzWL+6dRu5M8vbi1fXWb/kWblR1d2VL631H64Ue/V23VV6nqqYUaq1hN1BzqieqoDMrXakdtqym0PVYraJtBbUSfx+pUXQDsAnrF0KMDrS/g5xCevtatE3hGmhmhe8Algf8zQEbqEmBS6DeDOnKL6PMFUcbWMtoroomyvYHfXU1rDK1z9QxaJZzpGYrDsczVQP2WxjCCMU2pBUfX01QWpBWUPHJGNQcKU2jDeh8+n0G9R0ij54gwGY0ddduhz/9FPbEVn3u670L9m6S8BCVSTT36NKfQUUuiH9HbXMBnLE8CnIdAIdZjxNor0vWYRj+B/itovwfllGpGJ10oK2o9rUQ2oPiQDRG5D8WH3BeRh1B8yEMReQTFhzzSSMTOSOd+fBOKD98UOT+A4kM+EJFfQPEhvxCRJ1B8yBMR+RUUH/IrEXkLig95S0TegeJD3hGRLSg+ZEtEHkPxIY9F5B4UH3JPI8tX6gxKSnRGwqq8AfUiD7QUCbTcEOW7SdbRh70ZsKZ7JVh5Ve/Cbz92N0CncQl2L2DeDUqw8szbBxvpx8q26DbtJj7sbRF7ADPAjz0QsZ+r5yXYzwNW2osSrLzWDqGfHytb37vw5MfeFbH3oObHynvUfWjxY+8H7BjTEuyRiH2gXpZgQ6z+rAQr2/0m2BU/Vt6nWtDfjw2xposSrGxPT8CD8WPl3eohtPqxD0XsI/W6BPtIxH4J1t2P/TJgh31bgjV77AXaQYbkj8SwYquodfJVibUpUOsI/JN8b0nIN+5Cu4QZ5pghYcYiYj9H7AciDnPEYbBcWW5HM/J3ZS7NHNEMRHTzvQlrc7F/P++PtSQAsZsjdtcQVR4pvmszliV5F6ZFQs7znQtrIWNKc/uNtVjPh2rLaxD3Cwie289o5l+haAkjKNRUFbVn+R7PyIieqxCvKHozozQ8ZNw8twou6rWI6npQXRH1xoN6I6IWHtRCRC09qKWIsivfxbUDZoDVP76LFT3xDGAfubxE4BXcgF3nNqzRCObPEXiBX1DLffjdpNhbKlWSYTSP+yRmOR4XLPEMaiu1Be02Ktyl+DqhFRaDZNzzvo7x8QlzGyu95tgKn+Y7eZRnTMLpjEieYU4HvcWI1lM9Oneo5ZS8O67Vw9/O172p1cPvkcZPyYvnWj38XEs/P4PsLY1tnQHbhNU01dq39bo0OP/CNEz9Au26aHHxrY71nEF6r2vSP9Bv5uAM76VBNdaPrdejkTnjywrjq0PD6jlz9FyPCnpP7PWaWlR7JBMd99p6XRlS2kUnWg77VPfNYJ++fjOmXo/GEXhcDYq5V0697uyd5qOx9Xo0ThTnPU/Jkzf1ejSG9Mz6sPV6NDDb0tFxvq3XteyoAY6dbb2uVZ9QFhhzQDznucV6RTPykxaa2oj8g+psjevzb+5jmLN5kscI1ZSsb1tOp5vvZdUSGX8hBqs2rykH+hcLxwcr0lipa2J8xTLMC/v7Jh27x6PmD0GLEax+PgOQcuYJSGhyEmi9E6C4I0ZdxZEZ3DURh7NksIZq69a56C1avpw1KrY9pVYpLrOjtXpsk73OaO5NySc8JM1KejgsfcNlFCUNHRY0JNOro7u3er0Wtb8t4qZriGk+03p0IsQnadVxqk/rTUfHl/QpzxwKn/nY+YvZ5oG2NhjzpGSLUJYqnm4/k0dy23BfvaJsjps/i+iNor1aktUY0YlUJkahJlvM3viKni3tYzqTQx5MowfvMdJUpopPzTCLjvn0iCyqa28l3qgvk6HjekZW19jjavTQQQ896PoxTgN2jHtQa0HMcAxPrYAo50Kuq5Q0PlO/zE9HU3qD1RF9UrCQhgbbm7hgIaui7GcFKq8AjbOBo/RwGut0DL69QUmO+n3y2Ni1aPkv0cmtOd/u0Bwvn83lmZg+cb1GXCNaNXyqy0/rHFiClfeTa+S/Vo8S+dXhiDZU4vrE4cx6mdCJf0wR7JQ844RWm7Q6ir3d/NT6J4bTkTJn53ianZKFjMj+RbA/pTQnI/rv3h0wJ+hsERKykSF2Z5R7Nz5fZyTOMevHjRTfarDzLSZbtiD+hq67ujKaixwx8D5wuja3jU4OyReMietMW3e7tqt3H0TaexLuLGGKdq5cJv6f0E/z38yTrY0ZgRrGN5BpW+d7HynFLKijDu3y1TbI9HWl/DiX4YmW2u5/VqaPC5LtUsSF8uBu3QfOPXpmXjhLZiR3ttGH99GqbC5Snq7pEUc7oCie7f5Q78Ao9xXaJbdozbVplgxhFszzKML0lbLI63yreRWph9HO/i/Ura6LWkOKkbIZXNaQlN+PKVpzpUxgVvP8fUGrya/12Vqvaj4TmotjZy1/A60fwU8jt3kOo9MtWIWbNAeYgn2yGuGWaKNHGK+bBV5mZhpa9tnys3PS9HJbzhJfs3WzMfayNpUjmjWvddbC1M9C47lD43mgDlt01mi1aNqNJXoqxhYtfVoZyq8Ot1YNyguRsuyRGdQoQEo3lgqj2hepyjG+Qb0VaW2LtDqwWt3TAHfNhyD9a319dX+T7+6RukW+TY88MI5f+rRKR+RzmdbqSI0pIOfr2r66q79NLci9SxYUKfM9TlwxfOrUo3KaS/pzvbOlZOetRTD3ll7pPsbGtqn+6w3kmNZERuvSIK5Tj1jL78oRrVmkq47PEVHmv0M+Ffsd1TGz29u+k6jgT9h4k1eV5cWRwoT0L2XeDjai1wMnfo0oJlxo77oLtOq/YaTAGJNJ8HuWGb0h3OX4JIE92i7Zz007xad4E0eiqyT1Sv0uwMZw1Gvnuju3zIjN2H4BPVHr9q37esj8kmCOEr+znOh1aFcbax91tfZ8NlodvcsVn6v0sFjja/WxoD5uZGGjvCKmrT4N5sIS1ePCmBAu9UZRR/56kteRmU+nQimb3oZyMdPANuYZxUvSPVBE+Ly7y15v7hNhHN0Nel3CutS4RaKE2bhU5wdcS4tZqfMb+xC3nq/cjRJnJyrbKQx1d7ew9pstZEzWL1FSzoZ7u7K3C1GKnIVhCj3FN3rL4kOX5qdQ8GekfNGh4RiSO2yCf3tDNdTeO7gN8VLXOaMZUQvagv5a7N3R4yz2qNbRS4e6Sz+EQziPEehakn5EO2ld2ZmyLLlLPZz+K7ICMxWL0tue9cfgcpFHssmpznhGZNnk0YyU+S5O3bEYDiEjKXIJ58PnGtIoBsp8p6neGAx1eQRFDnV4mHsMYe/c9q7Py+VUra9NLqE8eBcwJy4Ghyd/5bGK7RdioWbOG3n3HNA6DCqom93ifx2H4WM51ecVyi2j75o9D3jr3C/WGVn0h+uvGcstZDaXcwznmeajs96Snx/7fVGtN5U6o3n39NEftXPA8FopzoPK0jHenUVW3lAqeC7gkyFV/1F/OSd/G+FlTqNMjjqUzDlFOTXTQ6ZmvnHpG535LEQmS6dMpiI1G0c06UZsQx2oW/C/kXuAdW+H8ncp+Tdi/d+f7UPrgKyHyaJz5qBNbTFlP+wpWp+e7f3ZMonxLi/f7W1BC56FH1Ir3vO9R/3xrm+rMLbyb5DwWr+rUtUvRCTrp3t2XXVhBMWTN84Bme/5RnSXnrNYfPNsHHC2aO5PrUu0ok/kmwXdUnzXkbJHc3Wqz+rx5ABv2Hfy/FCkfkVtHW3ncc+VOB+Vcj5a45yRdoocXjufVd/NKuPScLj089zZUvdLKc6253nVudHdUi58B70aP6zADx0pm6T9FxQJz1R1Nm9RQXOhZXJPWCfKZCJZDxhndvL3XR3ZLit4LQPGf6cUfceRdB9k6VL+O6ITthnRS7Ru9kh6vulYnUm9XSGt+R4l07R3He08MLcWq7P0iZ53nLkwf41gResBd1NzM1HKnsQldLp0IzAmSnxHUjo3kOWRpQmRRaKyECVZBHx7dxkgyzKAzkCQZiBSGIqS6BX89OLWzvrfx9isnFy7urN9defB9a3Pbuq/nfG++qn6mboM+8Zv1GcwQ4/UscK/ofEH9Uf1p8afG39t/K3xd+763jmN+Ykq/Gv887/ymiDQ</latexit> <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit>

    <latexit sha1_base64="UmGBMe8dDT1vCDGYAUViX5jqWMI=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">AABEJnictVxLcxu5EYY3r7Xz8ibHXGajdcqb8jqS46qkaitVa1OyrLVsy0tK9u7SdnHIEU17xKE5JP3gqvJHck0q/yL/ILdUKrcck1P+QvoBDDAkZhqjOEZJwoD4uhs9QKO7ATqepKN8trn5j3Pvfevb3/nu994/f+H7P/jhj3588YOfHOXZfNpPDvtZmk0fxb08SUfj5HA2mqXJo8k06Z3EafIwftHCzx8ukmk+ysad2ZtJ8vikNxyPjkf93gyanl682CUayzidJ6dRN06eXtzYvLpJ/6L1ypaubCj97yD74MPfq64aqEz11VydqESN1QzqqeqpHMrXakttqgm0PVZLaJtCbUSfJ+pUXQDsHHol0KMHrS/g9xCevtatY3hGmjmh+8AlhZ8pICN1CTAZ9JtCHblF9PmcKGNrFe0l0UTZ3sDfWNM6gdaZegatEs70DMXhWGbqWP2WxjCCMU2oBUfX11TmpBWUPHJGNQMKE2jD+gA+n0K9T0ij54gwOY0dddujz/9FPbEVn/u671z9m6S8BCVSbT36rKDQUwuiH9HbnMNnLE8KnIdAIdFjxNor0vUJjX4M/ZfQfg/KKdWMTmIoS2o9rUW2oPiQLRG5C8WH3BWR+1B8yH0ReQDFhzzQSMROSed+fBuKD98WOT+A4kM+EJFfQPEhvxCRR1B8yCMR+RUUH/IrEXkLig95S0TegeJD3hGRHSg+ZEdEHkLxIQ9F5A4UH3JHI6tX6hRKRnRGwqq8AfUyD7QUKbTcEOW7SdbRh70ZsKb7FVh5VW/DXz92O0CnSQV2J2DeHVdg5Zm3CzbSj5Vt0W3aTXzY2yJ2D2aAH7snYj9XzyuwnwestBcVWHmt7UM/P1a2vnfhyY+9K2LvQc2Plfeo+9Dix94P2DEmFdgDEftAvazAhlj9aQVWtvttsCt+rLxPdaC/HxtiTecVWNmeHoEH48fKu9VDaPVjH4rYR+p1BfaRiP0SrLsf+2XADvu2Amv22Au0gwzJH0lgxdZR6xWrEmsToNYT+KfF3pKSbxxDu4QZFpghYU5ExG6B2A1E7BeI/WC58sKO5uTvylzaBaIdiIiLvQlrM7H/oOiPtTQAsV0gtlcQdR4pvmszlgV5F6ZFQs6KnQtrIWPKCvuNtUTPh3rLaxD3Swie289o5l+haAkjKNRUHbVnxR7PyIie6xCvKHozozQ8ZNyssAou6rWIij2oWES98aDeiKi5BzUXUQsPaiGi7Mp3cd2AGWD1j+9iSU88A9hHri4ReAU3YNe5DWs0gvlzAF7gF9RyH/62KfaWSp1kGM3jPolZjsclSzyF2lJtQLuNCrcpvk5phSUgGfe8r2N8fMLcxlKvObbCp8VOHhUZk3A6I5JnWNBBbzGi9dSMzh1qOSXvjmvN8LeLdW9qzfA7pPFT8uK51gw/09LPziB7R2M7Z8C2YTVNtPZtvSkNzr8wDVO/QLsuWlx8qyd6ziC91w3p7+k3s3eG99KiGuvH1pvRyJ3x5aXxNaFh9Zw7em5GBb0n9npNLWo8krGOe229qQwZ7aJjLYd9avpmsM9AvxlTb0bjADyuFsXcS6fedPZOitHYejMaR4rznqfkyZt6MxpDemZ92HozGpht6ek439abWnbUAMfOtt7Uqo8pC4w5IJ7z3GK9oin5SXNNbUT+QX22xvX51/cxzNk8KWKEekrWt62mExd7Wb1Exl9IwKrNGsqB/sXc8cHKNJbqmhhfsQyz0v6+Tsfu8aj5fdBiBKufzwCknHkKEpqcBFrvFChuiVFXeWQGd03E4Sw5XkF1detM9BYtX84aldueUqsUl9nRWj12yV7nNPcm5BPuk2YlPexXvuEqipKG9ksakuk10d1bvV7L2t8UcZMVxKSYaX06EeKTtPo41af1tqPjS/qUZwaFz3zs/MVs87G2NhjzZGSLUJY6nm4/k0dy23BfvaJsjps/i+iNor1akNUY0YlULkahJlvM3viSni3tQzqTQx5Mow/vMdJUJopPzTCLjvn0iCyqa28l3qgvk6Hjek5W19jjevTQQQ896OYxTgt2jHtQ60DMcAhPnYAo50Khq4w0PlWfFKejGb3B+og+LVlIQ4PtTVKykHVR9rMSlVeAxtnAUXo4jVU6Bt9doyRH/T55bOxatvyX6OTWnG/3aI5Xz+bqTMyAuF4jrhGtGj7V5adVDizB0vvJNfJf60eJ/JpwRBsqcX3icGa9jOnEP6EIdkKecUqrTVod5d5ufmr1E8PpQJmzczzNzshCRmT/ItifMpqTEf24dwfMCTpbhJRsZIjdGRXejc/XGYlzzPpxI8W3Gux8S8iWzYm/oeuurpzmIkcMvA+crsxto5N98gUT4jrV1t2u7frdB5H2noQ7S5iinSuXif/H9Nv8mHmysTYjUMP4BnJt63zvI6OYBXXUo12+3gaZvq6UHxUyPNFS2/3PyvRRSbJtirhQHtytB8C5T8/MC2fJlOTO1/rwPlqXzUXKkxU94miPKYpnuz/UOzDKfYV2yQ1ac12aJUOYBbMiijB9pSzyKt96XmXqYbTz/wt1q+uy1pBipGwGlzUk5fcTitZcKVOY1Tx/X9Bq8mt9utKrns+Y5uKJs5a/gdYP4beR2zyH0YlLVuEmzQGmYJ+sRrglWusRxutmiZeZmYaWfbb87Jw0vdyWs8TXbN1sjL1oTOWAZs1rnbUw9bPQeO7QeB6oww6dNVotmnZjiZ6KsUVHn1aG8mvCrdOA8lykLHtkBjUKkNKNpcKoDkSqcoxvUG9FWpsirR6sVvc0wF3zIUj/Wl9d3d8Uu3ukbpFv0ycPjOOXAa3SEflcprU+UmMKyPm6tq/u6u9SC3KPyYIiZb7HiSuGT536VE4LSX+hd7aM7Ly1CObe0ivdx9jYLtV/vYY8oTWR07o0iOvUI9Hyu3JEKxbpquNzRJT575FPxX5Hfczs9rbvJCr5Ezbe5FVleXGkMCb9S5m3vbXodc+JXyOKCefau46BVvM3jBQYYzIJfs8ypzeEuxyfJLBHG5P9XLdTfIo3diS6SlIv1e8CbAxHvXauu3PLjNiM7ZfQE7Vu37qvh8wvDeYo8TvLiV6PdrUT7aMuV57PRqund7nyc50e5it8rT7m1MeNLGyUV8Z01afBXFiiZlwYE8Kl2SiayN9M8iYy8+lUKGXT21AuZxrYxjyjeEm6B4oIn3d32evNfSyMI16jFxPWpcYtEiXMxmU6P+BaWsxKnV/bh7j1fO1ulDo7UdVOYai7u4W132whE7J+qZJyNtzblb1bilLkLAxT6Cu+0VsVH7o0P4WCvyPliw4Nx5DcYRv82xuqpXbewW2Il7rOGc2IWtAWDFZi754eZ7lHvY5eOtRd+iEcwnmMQNeS9CPaSZvKzpRlyV3q4fRfkRWYqkSU3vZsPgaXizySdU5NxjMiyyaPZqTMd3GajsVwCBlJmUs4Hz7XkEZxrMx3mpqNwVCXR1Dm0ISHuccQ9s5t7+a8XE71+lrnEsqDdwFz4mJwePJXHavYfiEWauq8kXfPAa3DcQ11s1v8r+MwfCyn5rxCueX0XbPnAW+d+yU6I4v+cPM1Y7mFzOZqjuE8s2J01lvy82O/L2r0pjJnNO+ePvqjdg4YXkvFeVBZOsa7s8jKG0oFzwV8MmTqP+ov5+RvI7wsaFTJ0YSSOaeopmZ6yNTMNy59ozOfhchk6VTJVKZm44g23YhtqT11C35ahQfY9HYof5eS/yLW//3ZAbQek/UwWXTOHHSpLaHshz1FG9CzvT9bJTHe5eW7vR1owbPwfWrFe773qD/e9e2Uxlb9DRJe63dVpgaliGT1dM+uqxhGUD554xyQ+Z5vRHfpOYvFN89OAs4Wzf2pVYmW9Il8syCuxMeOlH2aqxN9Vo8nB3jDvlfkhyL1K2rraTuPe67E+aCS88EK55y0U+bw2vms/m5WFZeWw2VQ5M4Wul9GcbY9z6vPjW5XcuE76PX4YQ1+6EjZJu2/oEh4quqzefMamnMtk3vCOlYmE8l6wDizV7zv+sh2UcNrETD+O5XoO46kuyBLTPnviE7YpkQv1brZIen5pmN9JvV2jbTme5RM0951tPPA3Fqsz9Knet5x5sL8bwRLWg+4m5qbiVL2JKmgE9ONwIQo8R1J6dxAlkeWJkQWicpclGQe8O3dRYAsiwA6x4I0xyKFoSiJXsFPL25srf7/GOuVo2tXtzavbj24vvHZTf1/Z7yvfqZ+ri7DvvEb9RnM0AN1CJwW6g/qj+pPrT+3/tr6W+vv3PW9cxrzU1X61/rnfwGeAyFB</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> <latexit sha1_base64="PoNWpgDdW3Al4TFLE3jlsBfjDfg=">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</latexit> Hellinger <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">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</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">AABE6XictVzbchxJES0vt8XcvPDISy9aE15CGEksAREbRKytkSWtZVv2jGR7LdsxPdMaj9UzPZ6bL7P6CIIXgoAnPoTv4AOIgCd+gbxUdVXPVHdWC+MOSdXVdTKzsquyMrOqHY/S/mS6sfGPSx9845vf+vZ3Pvzu5e99/wc//NGVj358PMlm405y1MnSbPwobk+StD9Mjqb9aZo8Go2T9iBOk4fx2TY+fzhPxpN+NmxN346Sp4N2b9g/7XfaU6h6vJekgOwl4+dX1jaub9C/aLWwqQtrSv87zD76+J/qRHVVpjpqpgYqUUM1hXKq2moC1xO1qTbUCOqeqgXUjaHUp+eJOleXATuDVgm0aEPtGfzuwd0TXTuEe6Q5IXQHuKTwMwZkpK4CJoN2Yygjt4iez4gy1pbRXhBNlO0t/I01rQHUTtULqJVwpmUoDvsyVafqd9SHPvRpRDXYu46mMiOtoOSR06spUBhBHZa78HwM5Q4hjZ4jwkyo76jbNj3/F7XEWrzv6LYz9W+S8ipckWrq3mc5hbaaE/2I3uYMnrE8KXDuAYVE9xFLr0nXA+r9ENovoP4uXOdUMjqJ4VpQ7XklchsuH3JbRO7C5UPuisgDuHzIAxF5CJcPeaiRiB2Tzv34Jlw+fFPkfB8uH/K+iHwAlw/5QEQew+VDHovIr+DyIb8Skbfg8iFvicjbcPmQt0VkCy4fsiUij+DyIY9E5A5cPuSORpbP1DFcGdHpC7PyBpSLPNBSpFBzQ5TvJllHH/ZmwJzulGDlWd2Av35sI0CnSQl2J2DcnZZg5ZG3CzbSj5Vt0R6tJj7snojdhxHgx+6L2C/VyxLslwEz7awEK8+1A2jnx8rW9w7c+bF3ROxdKPmx8hp1D2r82HsBK8aoBHsoYu+rVyXYEKs/LsHKdr8JdsWPldepFrT3Y0Os6awEK9vTY/Bg/Fh5tXoItX7sQxH7SL0pwT4SsY/BuvuxjwNW2HclWLPGXqYVpEf+SAIztopaO5+VWBoBtbbAP83XlpR84xjqJUwvx/QIMxARuzliNxBxkCMOguWa5HZ0Qv6uzKWZI5qBiDhfm7A0Fdt38/ZYSgMQjRzRWEJUeaT4rk1f5uRdmBoJOc1XLiyF9CnL7TeWEj0eqi2vQdwrIHhsv6CRv07REkZQqKkqai/yNZ6REd1XIV5T9GZ6aXjIuGluFVzUGxEVe1CxiHrrQb0VUTMPaiai5h7UXETZme/iTgJGgNU/vosF3fEIYB+5/IrAK7gBq84ezNEIxs8heIEPqOYe/G1S7C1dVZJhNI/rJGY5nhYs8RhKC7UG9TYqbFB8ndIMS0AybnlPx/h4h7mNhZ5zbIXP85U8yjMm4XT6JE8vp4PeYkTzqR6d21RzTt4dl+rh9/J5b0r18Duk8XPy4rlUDz/V0k8vIHtLY1sXwDZhNo209m25Lg3OvzANU75Mqy5aXHyrAz1mkN6bmvT39ZvZv8B72aYS68eW69GYOP2bFPpXh4bV88TRcz0q6D2x12tKUe2eDHXca8t1ZchoFR1qOexd3TeDbbr6zZhyPRqH4HFtU8y9cMp1R+8o740t16NxrDjveU6evCnXo9Gje9aHLdejgdmWto7zbbmuZUcNcOxsy3Wt+pCywJgD4jHPNdYrGpOfNNPU+uQfVGdrXJ9/dR3DnM2zPEaopmR923I6cb6WVUtk/IUErNq0phzoX8wcH6xIY6G2xPiKZZgW1vdVOnaNR80fgBYjmP28ByDlzFOQ0OQk0HqnQHFTjLqKPTO4LRGHo+R0CXWia6eit2j5ctaoWPecaqW4zPbW6vGE7PWExt6IfMID0qykh4PSN1xGUdLQQUFDMr06unun52tR+xsibrSEGOUjrUM7QryTVh2n+rTedHR8Ve/yTOHiPR87fjHbfKqtDcY8GdkilKWKp9vO5JHcOlxX15XNcfOziN4o2qs5WY0+7UhNxCjUZIvZG1/QvaV9RHtyyINpdOA9RprKSPGuGWbRMZ8ekUV17a3EG/VlMnRcnpDVNfa4Gt1z0D0Pun6Msw0rxl0otSBmOIK7VkCUcznXVUYaH6tf5rujGb3B6og+LVhIQ4PtTVKwkFVR9osCldeAxtHAUXo4jWU6Bn+yQkmO+n3y2Ni1aPmv0s6t2d9u0xgvH83lmZgucd0irhHNGt7V5btlDizBwvtki/zX6l4ivzoc0YZKXJ85nFkvQ9rxTyiCHZFnnNJsk2ZHsbWbn1p+YjgdKrN3jrvZGVnIiOxfBOtTRmMyoh/37IDZQWeLkJKNDLE7/dy78fk6fXGMWT+ur/hUgx1vCdmyGfE3dN3ZNaGxyBEDrwPnS2Pb6OSAfMGEuI61dbdzu3r1QaQ9J+GOEqZox8o14v8p/TY/ZpysrYwI1DC+gYm2db73kVHMgjpq0ypfbYNMW1fKT3IZnmmp7fpnZfqkIFmDIi6UB1frLnDu0D3zwlEyJrknK214Ha3K5iLl0ZIesbenFMWz3e/pFRjlXqdVco3m3AmNkh6MgmkeRZi2UhZ5mW81ryL1MNqT/wt1q+ui1pBipGwGlzUk5fcTitZcKVMY1Tx+z2g2+bU+XmpVzWdIY3HgzOWvofZj+G3kNvdhdOKCVbhJY4Ap2DurEa6JVlqE8bpZ4GVGpqFl7y0/OyZNK7fmIvE1WzcbY89rUzmkUfNGZy1M+SI0Xjo0XgbqsEV7jVaLpt5YoudibNHSu5Wh/Opwa9WgPBMpyx6ZQfUDpHRjqTCqXZGqHOMb1DuR1oZIqw2z1d0NcOd8CNI/15dn99f56h6pW+TbdMgD4/ilS7O0Tz6Xqa2O1JgCcv5M21d39p9QDXKPyYIiZT7HiTOGd506dJ3nkv5cr2wZ2XlrEcy5pde6jbGxJ1T+9QpyQHNiQvPSID6jFomW35UjWrJI1x2fI6LMf5t8KvY7qmNmt7V9J1HBn7DxJs8qy4sjhSHpX8q87a9Er/tO/BpRTDjT3nUMtOq/YaTAGJNJ8HuWE3pDuMrxTgJ7tDHZz1U7xbt4Q0ei6yT1Qv0+wMZw1GvHuju2TI9N334BLVHr9q37Wsj80mCOEr+L7Oi1aVUbaB91sXR/MVptvcoV76v0MFvia/UxozZuZGGjvCLmRH0ezIUlqseFMSFc6vWijvz1JK8jM+9OhVI2rQ3lYqaBbcwLipekc6CI8Hl317ze3KdCP+IVejFhXWpcI1HCbFym8wOupcWsVLQUIbn10pqUOutR2XphebirhrXjbCkTsoKpknI33Nrtw0khWpGzMUyho/hkb1mc6NL8HC78HSlflGg4huQQm+Dn3lDbauc9nIp4pcuc2YyoBm1CdykGb+t+FltU6+iVQ92lH8IhnEcfdC1J36cVta7sTFmW3KUeTv81WYOxSkTpbcv6fXC5yD1Z5VSnP32ycHJv+sp8k1O3L4ZDSE+KXML58P6G1ItTZb5tqtcHQ13uQZFDHR7mPEPYO7et6/NyOVXra5VLKA9eB8zOi8HhDmB5zGLbhViosfNG3j8HtA6nFdTNavG/9sPwsZzq8wrlNqFvzl4GvHVul+jMLPrF9eeM5RYymss5hvPM8t5Zr8nPj/2/qNabypzevH/66JfaMWB4LRTnQ2XpGO+OIitvKBXcH/DJkKn/qL9fkr9KeJXTKJOjDiWzX1FOzbSQqZkvL329M89CZLJ0ymQqUrPxRJNOxm6rfXULfrZzD7DuKVH+ppL/Itb/HW0Xak/JephsOmcQTqguoSyI3U3r0r09R1smMZ7p5TO+LajBPfEDqsXzvnepPZ75bRX6Vv4lCc/1OypT3UJksrzLZ+dVDD0o7sBxLsh87xvRmXrOZvEJtEHAHiOfo+JIyXz9vCBEl+LCZUkXhDCjpYpy7KUc05mkpIR2XOhbh0b4SO/0474Dns9v59mlSP2K6tp6dcCVWpLq0CPVE8oMxKT/DYjQfqPW4e+6LvslPVyRdELvoCjRG+dZ9Umwc++4sF8zXqU8mMnUzXW7jKJ6u3tYnYltlHLhE+/V+F4FvudI2aS3dUZx91hV5w5nFTRnWiZ3P3eoTN6T9YDRbDsfH9Xx87yC1zyg/7dL0bcdSXdBlpiy7RHt542JXqp1s0PS87nK6rztXoW05qtNpmlPVtpxYM5IVu8JpHrclc9+Pgcp5WqSEjruXOcTmdJpkb6Xkjw/RwGnIdoBvZX7GtJTicpMlGQW8CXyPECWeQCdU0GaU5FCT5RE24fnV9Y2l/+vj9XC8db1zY3rm/e31r64qf8fkA/VT9XP1DVY+36rvoDxf6iOgNNA/VH9Rf21cdb4Q+NPjT9z0w8uacxPVOFf42//BV2MQ0Q=</latexit> <latexit sha1_base64="yLzRyVx8zKuy3jBpOdhbuG9NiB4=">AABE6XictVzbchxJES0vt8XcvPDISy9aE15CGEksAREbRKytkSWtZVv2jGR7LdsxPdMaj9UzPZ6bL7P6CIIXgoAnPoTv4AOIgCd+gbxUdVXPVHdWC+MOSdXVdTKzsquyMrOqHY/S/mS6sfGPSx9845vf+vZ3Pvzu5e99/wc//NGVj358PMlm405y1MnSbPwobk+StD9Mjqb9aZo8Go2T9iBOk4fx2TY+fzhPxpN+NmxN346Sp4N2b9g/7XfaU6h6vJekgOwl4+dX1jaub9C/aLWwqQtrSv87zD76+J/qRHVVpjpqpgYqUUM1hXKq2moC1xO1qTbUCOqeqgXUjaHUp+eJOleXATuDVgm0aEPtGfzuwd0TXTuEe6Q5IXQHuKTwMwZkpK4CJoN2Yygjt4iez4gy1pbRXhBNlO0t/I01rQHUTtULqJVwpmUoDvsyVafqd9SHPvRpRDXYu46mMiOtoOSR06spUBhBHZa78HwM5Q4hjZ4jwkyo76jbNj3/F7XEWrzv6LYz9W+S8ipckWrq3mc5hbaaE/2I3uYMnrE8KXDuAYVE9xFLr0nXA+r9ENovoP4uXOdUMjqJ4VpQ7XklchsuH3JbRO7C5UPuisgDuHzIAxF5CJcPeaiRiB2Tzv34Jlw+fFPkfB8uH/K+iHwAlw/5QEQew+VDHovIr+DyIb8Skbfg8iFvicjbcPmQt0VkCy4fsiUij+DyIY9E5A5cPuSORpbP1DFcGdHpC7PyBpSLPNBSpFBzQ5TvJllHH/ZmwJzulGDlWd2Av35sI0CnSQl2J2DcnZZg5ZG3CzbSj5Vt0R6tJj7snojdhxHgx+6L2C/VyxLslwEz7awEK8+1A2jnx8rW9w7c+bF3ROxdKPmx8hp1D2r82HsBK8aoBHsoYu+rVyXYEKs/LsHKdr8JdsWPldepFrT3Y0Os6awEK9vTY/Bg/Fh5tXoItX7sQxH7SL0pwT4SsY/BuvuxjwNW2HclWLPGXqYVpEf+SAIztopaO5+VWBoBtbbAP83XlpR84xjqJUwvx/QIMxARuzliNxBxkCMOguWa5HZ0Qv6uzKWZI5qBiDhfm7A0Fdt38/ZYSgMQjRzRWEJUeaT4rk1f5uRdmBoJOc1XLiyF9CnL7TeWEj0eqi2vQdwrIHhsv6CRv07REkZQqKkqai/yNZ6REd1XIV5T9GZ6aXjIuGluFVzUGxEVe1CxiHrrQb0VUTMPaiai5h7UXETZme/iTgJGgNU/vosF3fEIYB+5/IrAK7gBq84ezNEIxs8heIEPqOYe/G1S7C1dVZJhNI/rJGY5nhYs8RhKC7UG9TYqbFB8ndIMS0AybnlPx/h4h7mNhZ5zbIXP85U8yjMm4XT6JE8vp4PeYkTzqR6d21RzTt4dl+rh9/J5b0r18Duk8XPy4rlUDz/V0k8vIHtLY1sXwDZhNo209m25Lg3OvzANU75Mqy5aXHyrAz1mkN6bmvT39ZvZv8B72aYS68eW69GYOP2bFPpXh4bV88TRcz0q6D2x12tKUe2eDHXca8t1ZchoFR1qOexd3TeDbbr6zZhyPRqH4HFtU8y9cMp1R+8o740t16NxrDjveU6evCnXo9Gje9aHLdejgdmWto7zbbmuZUcNcOxsy3Wt+pCywJgD4jHPNdYrGpOfNNPU+uQfVGdrXJ9/dR3DnM2zPEaopmR923I6cb6WVUtk/IUErNq0phzoX8wcH6xIY6G2xPiKZZgW1vdVOnaNR80fgBYjmP28ByDlzFOQ0OQk0HqnQHFTjLqKPTO4LRGHo+R0CXWia6eit2j5ctaoWPecaqW4zPbW6vGE7PWExt6IfMID0qykh4PSN1xGUdLQQUFDMr06unun52tR+xsibrSEGOUjrUM7QryTVh2n+rTedHR8Ve/yTOHiPR87fjHbfKqtDcY8GdkilKWKp9vO5JHcOlxX15XNcfOziN4o2qs5WY0+7UhNxCjUZIvZG1/QvaV9RHtyyINpdOA9RprKSPGuGWbRMZ8ekUV17a3EG/VlMnRcnpDVNfa4Gt1z0D0Pun6Msw0rxl0otSBmOIK7VkCUcznXVUYaH6tf5rujGb3B6og+LVhIQ4PtTVKwkFVR9osCldeAxtHAUXo4jWU6Bn+yQkmO+n3y2Ni1aPmv0s6t2d9u0xgvH83lmZgucd0irhHNGt7V5btlDizBwvtki/zX6l4ivzoc0YZKXJ85nFkvQ9rxTyiCHZFnnNJsk2ZHsbWbn1p+YjgdKrN3jrvZGVnIiOxfBOtTRmMyoh/37IDZQWeLkJKNDLE7/dy78fk6fXGMWT+ur/hUgx1vCdmyGfE3dN3ZNaGxyBEDrwPnS2Pb6OSAfMGEuI61dbdzu3r1QaQ9J+GOEqZox8o14v8p/TY/ZpysrYwI1DC+gYm2db73kVHMgjpq0ypfbYNMW1fKT3IZnmmp7fpnZfqkIFmDIi6UB1frLnDu0D3zwlEyJrknK214Ha3K5iLl0ZIesbenFMWz3e/pFRjlXqdVco3m3AmNkh6MgmkeRZi2UhZ5mW81ryL1MNqT/wt1q+ui1pBipGwGlzUk5fcTitZcKVMY1Tx+z2g2+bU+XmpVzWdIY3HgzOWvofZj+G3kNvdhdOKCVbhJY4Ap2DurEa6JVlqE8bpZ4GVGpqFl7y0/OyZNK7fmIvE1WzcbY89rUzmkUfNGZy1M+SI0Xjo0XgbqsEV7jVaLpt5YoudibNHSu5Wh/Opwa9WgPBMpyx6ZQfUDpHRjqTCqXZGqHOMb1DuR1oZIqw2z1d0NcOd8CNI/15dn99f56h6pW+TbdMgD4/ilS7O0Tz6Xqa2O1JgCcv5M21d39p9QDXKPyYIiZT7HiTOGd506dJ3nkv5cr2wZ2XlrEcy5pde6jbGxJ1T+9QpyQHNiQvPSID6jFomW35UjWrJI1x2fI6LMf5t8KvY7qmNmt7V9J1HBn7DxJs8qy4sjhSHpX8q87a9Er/tO/BpRTDjT3nUMtOq/YaTAGJNJ8HuWE3pDuMrxTgJ7tDHZz1U7xbt4Q0ei6yT1Qv0+wMZw1GvHuju2TI9N334BLVHr9q37Wsj80mCOEr+L7Oi1aVUbaB91sXR/MVptvcoV76v0MFvia/UxozZuZGGjvCLmRH0ezIUlqseFMSFc6vWijvz1JK8jM+9OhVI2rQ3lYqaBbcwLipekc6CI8Hl317ze3KdCP+IVejFhXWpcI1HCbFym8wOupcWsVLQUIbn10pqUOutR2XphebirhrXjbCkTsoKpknI33Nrtw0khWpGzMUyho/hkb1mc6NL8HC78HSlflGg4huQQm+Dn3lDbauc9nIp4pcuc2YyoBm1CdykGb+t+FltU6+iVQ92lH8IhnEcfdC1J36cVta7sTFmW3KUeTv81WYOxSkTpbcv6fXC5yD1Z5VSnP32ycHJv+sp8k1O3L4ZDSE+KXML58P6G1ItTZb5tqtcHQ13uQZFDHR7mPEPYO7et6/NyOVXra5VLKA9eB8zOi8HhDmB5zGLbhViosfNG3j8HtA6nFdTNavG/9sPwsZzq8wrlNqFvzl4GvHVul+jMLPrF9eeM5RYymss5hvPM8t5Zr8nPj/2/qNabypzevH/66JfaMWB4LRTnQ2XpGO+OIitvKBXcH/DJkKn/qL9fkr9KeJXTKJOjDiWzX1FOzbSQqZkvL329M89CZLJ0ymQqUrPxRJNOxm6rfXULfrZzD7DuKVH+ppL/Itb/HW0Xak/JephsOmcQTqguoSyI3U3r0r09R1smMZ7p5TO+LajBPfEDqsXzvnepPZ75bRX6Vv4lCc/1OypT3UJksrzLZ+dVDD0o7sBxLsh87xvRmXrOZvEJtEHAHiOfo+JIyXz9vCBEl+LCZUkXhDCjpYpy7KUc05mkpIR2XOhbh0b4SO/0474Dns9v59mlSP2K6tp6dcCVWpLq0CPVE8oMxKT/DYjQfqPW4e+6LvslPVyRdELvoCjRG+dZ9Umwc++4sF8zXqU8mMnUzXW7jKJ6u3tYnYltlHLhE+/V+F4FvudI2aS3dUZx91hV5w5nFTRnWiZ3P3eoTN6T9YDRbDsfH9Xx87yC1zyg/7dL0bcdSXdBlpiy7RHt542JXqp1s0PS87nK6rztXoW05qtNpmlPVtpxYM5IVu8JpHrclc9+Pgcp5WqSEjruXOcTmdJpkb6Xkjw/RwGnIdoBvZX7GtJTicpMlGQW8CXyPECWeQCdU0GaU5FCT5RE24fnV9Y2l/+vj9XC8db1zY3rm/e31r64qf8fkA/VT9XP1DVY+36rvoDxf6iOgNNA/VH9Rf21cdb4Q+NPjT9z0w8uacxPVOFf42//BV2MQ0Q=</latexit> Unbalanced <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">AABE6nictVzbcty4EYU3t41z8yaPeeFG65Q3pTiSsqmkaitVa2tkWWvZlj0j2WvLdpEz1Hhsajiemy+z+olUXlKp5Cn/ke/IB6QqecovpC8AAc6AbFBxzJIEgjjdjSbQ6G6ATkbZYDLd2PjHhQ++8c1vffs7H3734ve+/4Mf/ujSRz8+muSzcTc97OZZPn6YxJM0GwzTw+lgmqUPR+M0Pk2y9EHychufP5in48kgH3amb0fpk9O4PxycDLrxFKoeHQ6TOIuH3bT37NLaxtUN+hetFjZ1YU3pfwf5Rx//Ux2rnspVV83UqUrVUE2hnKlYTeB6rDbVhhpB3RO1gLoxlAb0PFVn6iJgZ9AqhRYx1L6E3324e6xrh3CPNCeE7gKXDH7GgIzUZcDk0G4MZeQW0fMZUcbaKtoLoomyvYW/iaZ1CrVT9RxqJZxpGYrDvkzVifod9WEAfRpRDfauq6nMSCsoeeT0agoURlCH5R48H0O5S0ij54gwE+o76jam5/+illiL913ddqb+TVJehitSbd37vKAQqznRj+htzuAZy5MB5z5QSHUfsfSadH1KvR9C+wXU34HrjEpGJwlcC6o9q0Vuw+VDbovIXbh8yF0RuQ+XD7kvIg/g8iEPNBKxY9K5H9+Gy4dvi5zvweVD3hOR9+HyIe+LyCO4fMgjEfkILh/ykYi8AZcPeUNE3oLLh7wlIjtw+ZAdEXkIlw95KCJ34PIhdzSyeqaO4cqJzkCYldegXOaBliKDmmuifNfJOvqw1wPmdLcCK8/qFvz1Y1sBOk0rsDsB4+6kAiuPvF2wkX6sbItu0mriw94UsXswAvzYPRH7pXpRgf0yYKa9rMDKc20f2vmxsvW9DXd+7G0RewdKfqy8Rt2FGj/2bsCKMarAHojYe+pVBTbE6o8rsLLdb4Nd8WPldaoD7f3YEGs6q8DK9vQIPBg/Vl6tHkCtH/tAxD5UbyqwD0XsV2Dd/divAlbYdxVYs8ZepBWkT/5ICjO2jlpczEosjYBaLPDPirUlI984gXoJ0y8wfcKciojdArEbiNgvEPvBck0KOzohf1fm0i4Q7UBEUqxNWJqK7XtFeyxlAYhWgWgtIeo8UnzXpi9z8i5MjYScFisXlkL6lBf2G0upHg/1ltcg7pYQPLaf08hfp2gJIyjUVB2158Uaz8iI7usQryl6M700PGTctLAKLuqNiEo8qEREvfWg3oqomQc1E1FzD2ououzMd3HHASPA6h/fxYLueASwj1x9ReAVXINV5ybM0QjGzwF4gfep5i78bVPsLV11kmE0j+skZjmelCzxGEoLtQb1NipsUXyd0QxLQTJueVfH+HiHuY2FnnNshc+KlTwqMibhdAYkT7+gg95iRPOpGZ1bVHNG3h2XmuFvFvPelJrhd0jjZ+TFc6kZfqqln55D9o7Gds6BbcNsGmnt23JTGpx/YRqmfJFWXbS4+FZP9ZhBem8a0t/Tb2bvHO9lm0qsH1tuRmPi9G9S6l8TGlbPE0fPzaig98RerylFjXsy1HGvLTeVIadVdKjlsHdN3wy26ek3Y8rNaByAx7VNMffCKTcdvaOiN7bcjMaR4rznGXnyptyMRp/uWR+23IwGZltiHefbclPLjhrg2NmWm1r1IWWBMQfEY55rrFc0Jj9ppqkNyD+oz9a4Pv/qOoY5m6dFjFBPyfq21XSSYi2rl8j4CylYtWlDOdC/mDk+WJnGQm2J8RXLMC2t76t07BqPmt8HLUYw+3kPQMqZZyChyUmg9c6A4qYYdZV7ZnBbIg5HyckS6ljXTkVv0fLlrFG57hnVSnGZ7a3V4zHZ6wmNvRH5hPukWUkP+5VvuIqipKH9koZkek10907P17L2N0TcaAkxKkZal3aEeCetPk71ab3t6Piy3uWZwsV7Pnb8Yrb5RFsbjHlyskUoSx1Pt53JI7l1uK6uK5vj5mcRvVG0V3OyGgPakZqIUajJFrM3vqB7S/uQ9uSQB9PownuMNJWR4l0zzKJjPj0ii+raW4k36stk6Lg8Iatr7HE9uu+g+x508xhnG1aMO1DqQMxwCHedgCjnYqGrnDQ+Vr8sdkdzeoP1EX1WspCGBtubtGQh66Ls5yUqrwGNo4Gj9HAay3QM/niFkhz1++SxsWvZ8l+mnVuzvx3TGK8ezdWZmB5x3SKuEc0a3tXlu2UOLMHC+2SL/Nf6XiK/JhzRhkpcnzqcWS9D2vFPKYIdkWec0WyTZke5tZufWn5iOB0os3eOu9k5WciI7F8E61NOYzKiH/fsgNlBZ4uQkY0MsTuDwrvx+ToDcYxZP26g+FSDHW8p2bIZ8Td03dk1obHIEQOvA2dLY9voZJ98wZS4jrV1t3O7fvVBpD0n4Y4SpmjHyhXi/yn9Nj9mnKytjAjUML6BibZ1vveRU8yCOoppla+3QaatK+UnhQxPtdR2/bMyfVKSrEURF8qDq3UPOHfpnnnhKBmT3JOVNryO1mVzkfJoSY/Y2xOK4tnu9/UKjHKv0yq5RnPumEZJH0bBtIgiTFspi7zMt55XmXoY7cn/hbrVdVlrSDFSNoPLGpLy+ylFa66UGYxqHr8vaTb5tT5ealXPZ0hj8dSZy19D7cfw28ht7sPoJCWrcJ3GAFOwd1YjXBOttAjjdb3Ey4xMQ8veW352TJpWbs154mu2bjbGnjemckCj5o3OWpjyeWi8cGi8CNRhh/YarRZNvbFEz8TYoqN3K0P5NeHWaUB5JlKWPTKDGgRI6cZSYVR7IlU5xjeodyKtDZFWDLPV3Q1w53wI0j/Xl2f318XqHqkb5Nt0yQPj+KVHs3RAPpeprY/UmAJy/kzbV3f2H1MNck/IgiJlPseJM4Z3nbp0nRWS/lyvbDnZeWsRzLml17qNsbHHVP71CvKU5sSE5qVBfEYtUi2/K0e0ZJGuOj5HRJn/mHwq9jvqY2a3tX0nUcmfsPEmzyrLiyOFIelfyrztrUSve078GlFMONPedQK0mr9hpMAYk0nwe5YTekO4yvFOAnu0CdnPVTvFu3hDR6KrJPVC/T7AxnDUa8e6O7ZMj03ffgEtUev2rftayPyyYI4Sv/Ps6MW0qp1qH3WxdH8+WrFe5cr3dXqYLfG1+phRGzeysFFeGXOsPg/mwhI148KYEC7NetFE/maSN5GZd6dCKZvWhnI508A25jnFS9I5UET4vLsrXm/uU6EfyQq9hLAuNa6RKGE2Ltf5AdfSYlYqWoqQ3HppTcqc9ahqvbA83FXD2nG2lClZwUxJuRtu7fbhuBStyNkYptBVfLK3Kk50aX4OF/6OlC9KNBxDcoht8HOvqW218x5ORbzSZc5sRlSDNqG3FIPHup/lFvU6euVQd+mHcAjnMQBdS9IPaEVtKjtTliV3qYfTf03WYKxSUXrbsnkfXC5yT1Y5NenPgCyc3JuBMt/kNO2L4RDSkzKXcD68vyH14kSZb5ua9cFQl3tQ5tCEhznPEPbObevmvFxO9fpa5RLKg9cBs/NicLgDWB2z2HYhFmrsvJH3zwGtw0kNdbNa/K/9MHwsp+a8QrlN6JuzFwFvndulOjOLfnHzOWO5hYzmao7hPPOid9Zr8vNj/y9q9KZypzfvnz76pXYMGF4LxflQWTrGu6PIyhtKBfcHfDLk6j/q7xfkrxJeFTSq5GhCyexXVFMzLWRq5stLX+/MsxCZLJ0qmcrUbDzRppOx22pP3YCf7cIDbHpKlL+p5L+I9X9H24PaE7IeJpvOGYRjqkspC2J303p0b8/RVkmMZ3r5jG8HanBPfJ9q8bzvHWqPZ347pb5Vf0nCc/22ylWvFJks7/LZeZVAD8o7cJwLMt/7RnSmnrNZfALtNGCPkc9RcaRkvn5eEKJHceGypAtCmNFSRznxUk7oTFJaQTsp9a1LI3ykd/px3wHP58dFdilSv6K6WK8OuFJLUh14pHpMmYGE9L8BEdpv1Dr8Xddlv6QHK5JO6B2UJXrjPKs/CXbmHRf2a8bLlAczmbq5bpdTVG93D+szsa1KLnzivR7fr8H3HSnb9LZeUtw9VvW5w1kNzZmWyd3PHSqT92Q9YDQbF+OjPn6e1/CaB/T/ViX6liPpLsiSULY9ov28MdHLtG52SHo+V1mft71ZI635apNp2pOVdhyYM5L1ewKZHnfVs5/PQUq5mrSCjjvX+USmdFpk4KUkz89RwGmIOKC3cl9DeipRmYmSzAK+RJ4HyDIPoHMiSHMiUuiLkmj78OzS2uby//WxWjjaurq5cXXz3tbaF9f1/wPyofqp+pm6Amvfb9UXMP4P1CFwGqo/qr+ov7ay1h9af2r9mZt+cEFjfqJK/1p/+y/++EOh</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> <latexit sha1_base64="IwaiMUeaH8LW9Bx5Jqbhrdld7TA=">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</latexit> Balanced <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">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</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">AABE6HictVzdctu4FUa2P7tN/7LtZW+49aaT7aRZ291OO7PTmY0tx/HGSZxIdrIbJxlKohUltKiIkvKj9Tt0etPptFd9kT5HH6Az7VVfoecHIEAJ5AHdNBzbIIjvnIND4OCcAzDdcTrMp+vr/7jw3re+/Z3vvv/B9y5+/wc//NGPL334k6M8m016yWEvS7PJw26cJ+lwlBxOh9M0eTieJPFpN00edF9s4/MH82SSD7NRZ/pmnDw+jQej4cmwF0+h6uFWnMajXtJ/emlt/do6/YtWCxu6sKb0v4Psw4/+qY5VX2Wqp2bqVCVqpKZQTlWscrgeqQ21rsZQ91gtoG4CpSE9T9SZugjYGbRKoEUMtS/g9wDuHunaEdwjzZzQPeCSws8EkJG6DJgM2k2gjNwiej4jylhbRXtBNFG2N/C3q2mdQu1UPYNaCWdahuKwL1N1on5HfRhCn8ZUg73raSoz0gpKHjm9mgKFMdRhuQ/PJ1DuEdLoOSJMTn1H3cb0/F/UEmvxvqfbztS/ScrLcEWqrXufFRRiNSf6Eb3NGTxjeVLgPAAKie4jll6Rrk+p9yNov4D6O3CdUcnopAvXgmrPapHbcPmQ2yJyFy4fcldE7sPlQ+6LyAO4fMgDjUTshHTux7fh8uHbIud7cPmQ90Tkfbh8yPsi8gguH/JIRH4Nlw/5tYi8AZcPeUNE3oLLh7wlIjtw+ZAdEXkIlw95KCJ34PIhdzSyeqZO4MqIzlCYldehXOaBliKFmuuifFtkHX3YrYA53avAyrO6BX/92FaATpMK7E7AuDupwMojbxdspB8r26KbtJr4sDdF7B6MAD92T8R+qZ5XYL8MmGkvKrDyXNuHdn6sbH1vw50fe1vE3oGSHyuvUXehxo+9G7BijCuwByL2nnpZgQ2x+pMKrGz322BX/Fh5nepAez82xJrOKrCyPT0CD8aPlVerB1Drxz4QsQ/V6wrsQxH7FVh3P/argBX2bQXWrLEXaQUZkD+SwIytoxYXsxJLY6AWC/zTYm1JyTfuQr2EGRSYAWFORcRugdgNROwXiP1gufLCjubk78pc2gWiHYjoFmsTlqZi+37RHktpAKJVIFpLiDqPFN+16cucvAtTIyGnxcqFpZA+ZYX9xlKix0O95TWIuyUEj+1nNPKvUrSEERRqqo7as2KNZ2RE93WIVxS9mV4aHjJuWlgFF/VaRHU9qK6IeuNBvRFRMw9qJqLmHtRcRNmZ7+KOA0aA1T++iwXd8QhgH7n6isAruA6rzk2YoxGMnwPwAu9TzV3426bYW7rqJMNoHtdJzHI8LlniCZQWag3qbVTYovg6pRmWgGTc8q6O8fEOcxsLPefYCp8VK3lUZEzC6QxJnkFBB73FiOZTMzq3qOaMvDsuNcPfLOa9KTXD75DGz8iL51Iz/FRLPz2H7B2N7ZwD24bZNNbat+WmNDj/wjRM+SKtumhx8a2e6jGD9F43pL+n38zeOd7LNpVYP7bcjEbu9C8v9a8JDavn3NFzMyroPbHXa0pR456MdNxry01lyGgVHWk57F3TN4Nt+vrNmHIzGgfgcW1TzL1wyk1H77jojS03o3GkOO95Rp68KTejMaB71octN6OB2ZZYx/m23NSyowY4drblplZ9RFlgzAHxmOca6xVNyE+aaWpD8g/qszWuz7+6jmHO5kkRI9RTsr5tNZ1usZbVS2T8hQSs2rShHOhfzBwfrExjoTbF+IplmJbW91U6do1Hze+DFiOY/bwHIOXMU5DQ5CTQeqdAcUOMuso9M7hNEYej5GQJdaxrp6K3aPly1qhc95RqpbjM9tbq8ZjsdU5jb0w+4T5pVtLDfuUbrqIoaWi/pCGZXhPdvdXztaz9dRE3XkKMi5HWox0h3kmrj1N9Wm87Or6sd3mmcPGejx2/mG0+0dYGY56MbBHKUsfTbWfySG4drqtXlc1x87OI3ijaqzlZjSHtSOViFGqyxeyNL+je0j6kPTnkwTR68B4jTWWseNcMs+iYT4/Iorr2VuKN+jIZOi7nZHWNPa5HDxz0wINuHuNsw4pxB0odiBkO4a4TEOVcLHSVkcYn6lfF7mhGb7A+ok9LFtLQYHuTlCxkXZT9rETlFaBxNHCUHk5jmY7BH69QkqN+nzw2di1b/su0c2v2t2Ma49WjuToT0yeum8Q1olnDu7p8t8yBJVh4n2yS/1rfS+TXhCPaUInrE4cz62VEO/4JRbBj8oxTmm3S7Ci3dvNTy08MpwNl9s5xNzsjCxmR/YtgfcpoTEb0454dMDvobBFSspEhdmdYeDc+X2cojjHrxw0Vn2qw4y0hWzYj/oauO7tyGoscMfA6cLY0to1O9skXTIjrRFt3O7frVx9E2nMS7ihhinasXCH+n9Bv82PGydrKiEAN4xvIta3zvY+MYhbUUUyrfL0NMm1dKT8uZHiipbbrn5Xp45JkLYq4UB5crfvAuUf3zAtHyYTkzlfa8Dpal81FyuMlPWJvTyiKZ7s/0Cswyn2VVsk1mnPHNEoGMAqmRRRh2kpZ5GW+9bzK1MNo5/8X6lbXZa0hxUjZDC5rSMrvJxStuVKmMKp5/L6g2eTX+mSpVT2fEY3FU2cufwO1H8FvI7e5D6PTLVmFLRoDTMHeWY1wTbTSIozXVomXGZmGlr23/OyYNK3cmvPE12zdbIw9b0zlgEbNa521MOXz0Hju0HgeqMMO7TVaLZp6Y4meirFFR+9WhvJrwq3TgPJMpCx7ZAY1DJDSjaXCqPZFqnKMb1BvRVrrIq0YZqu7G+DO+RCkf64vz+5vitU9UjfIt+mRB8bxS59m6ZB8LlNbH6kxBeT8mbav7uw/phrk3iULipT5HCfOGN516tF1Vkj6C72yZWTnrUUw55Ze6TbGxh5T+dcryFOaEznNS4P4jFokWn5XjmjJIl1zfI6IMv8x+VTsd9THzG5r+06ikj9h402eVZYXRwoj0r+UedtbiV73nPg1ophwpr3rLtBq/oaRAmNMJsHvWeb0hnCV450E9mi7ZD9X7RTv4o0cia6R1Av1+wAbw1GvHevu2DI9Nn37JbRErdu37msh80uDOUr8zrOjF9Oqdqp91MXS/floxXqVK9/X6WG2xNfqY0Zt3MjCRnllzLH6PJgLS9SMC2NCuDTrRRP5m0neRGbenQqlbFobyuVMA9uYZxQvSedAEeHz7q54vblPhH50V+h1CetS4xqJEmbjMp0fcC0tZqWipQjJrZfWpNRZj6rWC8vDXTWsHWdLmZAVTJWUu+HWbh+OS9GKnI1hCj3FJ3ur4kSX5udw4e9I+aJEwzEkh9gGP/e62lY77+BUxEtd5sxmRDVoE/pLMXis+1luUa+jlw51l34Ih3AeQ9C1JP2QVtSmsjNlWXKXejj9V2QNJioRpbctm/fB5SL3ZJVTk/4MycLJvRkq801O074YDiE9KXMJ58P7G1IvTpT5tqlZHwx1uQdlDk14mPMMYe/ctm7Oy+VUr69VLqE8eB0wOy8GhzuA1TGLbRdioSbOG3n3HNA6nNRQN6vF/9oPw8dyas4rlFtO35w9D3jr3C7RmVn0i5vPGcstZDRXcwznmRW9s16Tnx/7f1GjN5U5vXn39NEvtWPA8FoozofK0jHeHUVW3lAquD/gkyFT/1F/vyB/lfCyoFElRxNKZr+impppIVMzX176emeehchk6VTJVKZm44k2nYzdVnvqBvxsFx5g01Oi/E0l/0Ws/zvaPtSekPUw2XTOIBxTXUJZELub1qd7e462SmI808tnfDtQg3vi+1SL533vUHs889sp9a36SxKe67dVpvqlyGR5l8/Oqy70oLwDx7kg871vRGfqOZvFJ9BOA/YY+RwVR0rm6+cFIfoUFy5LuiCEGS11lLteyl06k5RU0O6W+tajET7WO/2474Dn8+MiuxSpT6ku1qsDrtSSVAceqR5RZqBL+l+HCO036ir8varLfkkPViTN6R2UJXrtPKs/CXbmHRf2a8bLlAczmbq5bpdRVG93D+szsa1KLnzivR4/qMEPHCnb9LZeUNw9UfW5w1kNzZmWyd3PHSmT92Q9YDQbF+OjPn6e1/CaB/T/ViX6liPpLsjSpWx7RPt5E6KXat3skPR8rrI+b3uzRlrz1SbTtCcr7TgwZyTr9wRSPe6qZz+fg5RyNUkFHXeu84lM6bTI0EtJnp/jgNMQcUBv5b6G9FSiMhMlmQV8iTwPkGUeQOdEkOZEpDAQJdH24emltY3l/+tjtXC0eW1j/drGvc21L7b0/wPygfqZ+rm6Amvfb9UXMP4P1CH5DH9Uf1F/bT1v/aH1p9afuel7FzTmp6r0r/W3/wJpaUKq</latexit> <latexit sha1_base64="B1TvFSVWEK3L7Btw/9Bp9dLVE2I=">AABE6HictVzdctu4FUa2P7tN/7LtZW+49aaT7aRZ291OO7PTmY0tx/HGSZxIdrIbJxlKohUltKiIkvKj9Tt0etPptFd9kT5HH6Az7VVfoecHIEAJ5AHdNBzbIIjvnIND4OCcAzDdcTrMp+vr/7jw3re+/Z3vvv/B9y5+/wc//NGPL334k6M8m016yWEvS7PJw26cJ+lwlBxOh9M0eTieJPFpN00edF9s4/MH82SSD7NRZ/pmnDw+jQej4cmwF0+h6uFWnMajXtJ/emlt/do6/YtWCxu6sKb0v4Psw4/+qY5VX2Wqp2bqVCVqpKZQTlWscrgeqQ21rsZQ91gtoG4CpSE9T9SZugjYGbRKoEUMtS/g9wDuHunaEdwjzZzQPeCSws8EkJG6DJgM2k2gjNwiej4jylhbRXtBNFG2N/C3q2mdQu1UPYNaCWdahuKwL1N1on5HfRhCn8ZUg73raSoz0gpKHjm9mgKFMdRhuQ/PJ1DuEdLoOSJMTn1H3cb0/F/UEmvxvqfbztS/ScrLcEWqrXufFRRiNSf6Eb3NGTxjeVLgPAAKie4jll6Rrk+p9yNov4D6O3CdUcnopAvXgmrPapHbcPmQ2yJyFy4fcldE7sPlQ+6LyAO4fMgDjUTshHTux7fh8uHbIud7cPmQ90Tkfbh8yPsi8gguH/JIRH4Nlw/5tYi8AZcPeUNE3oLLh7wlIjtw+ZAdEXkIlw95KCJ34PIhdzSyeqZO4MqIzlCYldehXOaBliKFmuuifFtkHX3YrYA53avAyrO6BX/92FaATpMK7E7AuDupwMojbxdspB8r26KbtJr4sDdF7B6MAD92T8R+qZ5XYL8MmGkvKrDyXNuHdn6sbH1vw50fe1vE3oGSHyuvUXehxo+9G7BijCuwByL2nnpZgQ2x+pMKrGz322BX/Fh5nepAez82xJrOKrCyPT0CD8aPlVerB1Drxz4QsQ/V6wrsQxH7FVh3P/argBX2bQXWrLEXaQUZkD+SwIytoxYXsxJLY6AWC/zTYm1JyTfuQr2EGRSYAWFORcRugdgNROwXiP1gufLCjubk78pc2gWiHYjoFmsTlqZi+37RHktpAKJVIFpLiDqPFN+16cucvAtTIyGnxcqFpZA+ZYX9xlKix0O95TWIuyUEj+1nNPKvUrSEERRqqo7as2KNZ2RE93WIVxS9mV4aHjJuWlgFF/VaRHU9qK6IeuNBvRFRMw9qJqLmHtRcRNmZ7+KOA0aA1T++iwXd8QhgH7n6isAruA6rzk2YoxGMnwPwAu9TzV3426bYW7rqJMNoHtdJzHI8LlniCZQWag3qbVTYovg6pRmWgGTc8q6O8fEOcxsLPefYCp8VK3lUZEzC6QxJnkFBB73FiOZTMzq3qOaMvDsuNcPfLOa9KTXD75DGz8iL51Iz/FRLPz2H7B2N7ZwD24bZNNbat+WmNDj/wjRM+SKtumhx8a2e6jGD9F43pL+n38zeOd7LNpVYP7bcjEbu9C8v9a8JDavn3NFzMyroPbHXa0pR456MdNxry01lyGgVHWk57F3TN4Nt+vrNmHIzGgfgcW1TzL1wyk1H77jojS03o3GkOO95Rp68KTejMaB71octN6OB2ZZYx/m23NSyowY4drblplZ9RFlgzAHxmOca6xVNyE+aaWpD8g/qszWuz7+6jmHO5kkRI9RTsr5tNZ1usZbVS2T8hQSs2rShHOhfzBwfrExjoTbF+IplmJbW91U6do1Hze+DFiOY/bwHIOXMU5DQ5CTQeqdAcUOMuso9M7hNEYej5GQJdaxrp6K3aPly1qhc95RqpbjM9tbq8ZjsdU5jb0w+4T5pVtLDfuUbrqIoaWi/pCGZXhPdvdXztaz9dRE3XkKMi5HWox0h3kmrj1N9Wm87Or6sd3mmcPGejx2/mG0+0dYGY56MbBHKUsfTbWfySG4drqtXlc1x87OI3ijaqzlZjSHtSOViFGqyxeyNL+je0j6kPTnkwTR68B4jTWWseNcMs+iYT4/Iorr2VuKN+jIZOi7nZHWNPa5HDxz0wINuHuNsw4pxB0odiBkO4a4TEOVcLHSVkcYn6lfF7mhGb7A+ok9LFtLQYHuTlCxkXZT9rETlFaBxNHCUHk5jmY7BH69QkqN+nzw2di1b/su0c2v2t2Ma49WjuToT0yeum8Q1olnDu7p8t8yBJVh4n2yS/1rfS+TXhCPaUInrE4cz62VEO/4JRbBj8oxTmm3S7Ci3dvNTy08MpwNl9s5xNzsjCxmR/YtgfcpoTEb0454dMDvobBFSspEhdmdYeDc+X2cojjHrxw0Vn2qw4y0hWzYj/oauO7tyGoscMfA6cLY0to1O9skXTIjrRFt3O7frVx9E2nMS7ihhinasXCH+n9Bv82PGydrKiEAN4xvIta3zvY+MYhbUUUyrfL0NMm1dKT8uZHiipbbrn5Xp45JkLYq4UB5crfvAuUf3zAtHyYTkzlfa8Dpal81FyuMlPWJvTyiKZ7s/0Cswyn2VVsk1mnPHNEoGMAqmRRRh2kpZ5GW+9bzK1MNo5/8X6lbXZa0hxUjZDC5rSMrvJxStuVKmMKp5/L6g2eTX+mSpVT2fEY3FU2cufwO1H8FvI7e5D6PTLVmFLRoDTMHeWY1wTbTSIozXVomXGZmGlr23/OyYNK3cmvPE12zdbIw9b0zlgEbNa521MOXz0Hju0HgeqMMO7TVaLZp6Y4meirFFR+9WhvJrwq3TgPJMpCx7ZAY1DJDSjaXCqPZFqnKMb1BvRVrrIq0YZqu7G+DO+RCkf64vz+5vitU9UjfIt+mRB8bxS59m6ZB8LlNbH6kxBeT8mbav7uw/phrk3iULipT5HCfOGN516tF1Vkj6C72yZWTnrUUw55Ze6TbGxh5T+dcryFOaEznNS4P4jFokWn5XjmjJIl1zfI6IMv8x+VTsd9THzG5r+06ikj9h402eVZYXRwoj0r+UedtbiV73nPg1ophwpr3rLtBq/oaRAmNMJsHvWeb0hnCV450E9mi7ZD9X7RTv4o0cia6R1Av1+wAbw1GvHevu2DI9Nn37JbRErdu37msh80uDOUr8zrOjF9Oqdqp91MXS/floxXqVK9/X6WG2xNfqY0Zt3MjCRnllzLH6PJgLS9SMC2NCuDTrRRP5m0neRGbenQqlbFobyuVMA9uYZxQvSedAEeHz7q54vblPhH50V+h1CetS4xqJEmbjMp0fcC0tZqWipQjJrZfWpNRZj6rWC8vDXTWsHWdLmZAVTJWUu+HWbh+OS9GKnI1hCj3FJ3ur4kSX5udw4e9I+aJEwzEkh9gGP/e62lY77+BUxEtd5sxmRDVoE/pLMXis+1luUa+jlw51l34Ih3AeQ9C1JP2QVtSmsjNlWXKXejj9V2QNJioRpbctm/fB5SL3ZJVTk/4MycLJvRkq801O074YDiE9KXMJ58P7G1IvTpT5tqlZHwx1uQdlDk14mPMMYe/ctm7Oy+VUr69VLqE8eB0wOy8GhzuA1TGLbRdioSbOG3n3HNA6nNRQN6vF/9oPw8dyas4rlFtO35w9D3jr3C7RmVn0i5vPGcstZDRXcwznmRW9s16Tnx/7f1GjN5U5vXn39NEvtWPA8FoozofK0jHeHUVW3lAquD/gkyFT/1F/vyB/lfCyoFElRxNKZr+impppIVMzX176emeehchk6VTJVKZm44k2nYzdVnvqBvxsFx5g01Oi/E0l/0Ws/zvaPtSekPUw2XTOIBxTXUJZELub1qd7e462SmI808tnfDtQg3vi+1SL533vUHs889sp9a36SxKe67dVpvqlyGR5l8/Oqy70oLwDx7kg871vRGfqOZvFJ9BOA/YY+RwVR0rm6+cFIfoUFy5LuiCEGS11lLteyl06k5RU0O6W+tajET7WO/2474Dn8+MiuxSpT6ku1qsDrtSSVAceqR5RZqBL+l+HCO036ir8varLfkkPViTN6R2UJXrtPKs/CXbmHRf2a8bLlAczmbq5bpdRVG93D+szsa1KLnzivR4/qMEPHCnb9LZeUNw9UfW5w1kNzZmWyd3PHSmT92Q9YDQbF+OjPn6e1/CaB/T/ViX6liPpLsjSpWx7RPt5E6KXat3skPR8rrI+b3uzRlrz1SbTtCcr7TgwZyTr9wRSPe6qZz+fg5RyNUkFHXeu84lM6bTI0EtJnp/jgNMQcUBv5b6G9FSiMhMlmQV8iTwPkGUeQOdEkOZEpDAQJdH24emltY3l/+tjtXC0eW1j/drGvc21L7b0/wPygfqZ+rm6Amvfb9UXMP4P1CH5DH9Uf1F/bT1v/aH1p9afuel7FzTmp6r0r/W3/wJpaUKq</latexit> Wp p (↵, ) <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> <latexit sha1_base64="xTx8D1HGCIUtH2QVSEP7R2spMh0=">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</latexit> ⌧ ! +1 <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> <latexit sha1_base64="jtdPmClh8j026t4mPn5xRnbOUwY=">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</latexit> ⌧ ! 0 <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> <latexit sha1_base64="zpMMmkQBjCfQFAHvC2Uow8eHveM=">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</latexit> R ( p ↵ p )2 <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">AABFBHictVxLcxu5EYY3r43z8ibHXGZXdspOeR1J2VRStZWqtUVZ1lq2ZZOSvWvaLj5GNO0Rh+aQ9IPLayo/JpVLKpWckt+RH5Cq5JS/kH4AAwyJmcYoG09JwmDwdTd6gEZ3A+PuOBlm083Nf5x77xvf/Na3v/P+d89/7/s/+OGPLnzw4+MsnU168VEvTdLJo24ni5PhKD6aDqdJ/Gg8iTun3SR+2H25g88fzuNJNkxHrenbcfzktDMYDU+Gvc4Uqp5d+OhieziaRpfb2avJdNHuJDvLj3W5G+8srzzdvvjswsbmtU36F60XtnRhQ+l/h+kHH/5TtVVfpaqnZupUxWqkplBOVEdlcD1WW2pTjaHuiVpA3QRKQ3oeq6U6D9gZtIqhRQdqX8LvAdw91rUjuEeaGaF7wCWBnwkgI3UJMCm0m0AZuUX0fEaUsbaM9oJoomxv4W9X0zqF2ql6DrUSzrQMxWFfpupE/Yb6MIQ+jakGe9fTVGakFZQ8cno1BQpjqMNyH55PoNwjpNFzRJiM+o667dDzf1FLrMX7nm47U/8mKS/BFamm7n2aU+ioOdGP6G3O4BnLkwDnAVCIdR+x9Jp0fUq9H0H7BdTfhWtJJaOTLlwLql1WInfg8iF3ROQeXD7knog8gMuHPBCRh3D5kIcaidgJ6dyPb8LlwzdFzvfh8iHvi8gHcPmQD0TkMVw+5LGI/BIuH/JLEXkTLh/ypoi8DZcPeVtEtuDyIVsi8gguH/JIRO7C5UPuamT5TJ3AlRKdoTArr0O5yAMtRQI110X5bpB19GFvBMzpXglWntUN+OvHNgJ0GpdgdwPG3UkJVh55e2Aj/VjZFt2i1cSHvSVi92EE+LH7IvZz9aIE+3nATHtZgpXn2gG082Nl63sH7vzYOyL2LpT8WHmNugc1fuy9gBVjXII9FLH31asSbIjVn5RgZbvfBLvix8rrVAva+7Eh1nRWgpXt6TF4MH6svFo9hFo/9qGIfaTelGAfidgvwLr7sV8ErLDvSrBmjT1PK8iA/JEYZmwVtU4+K7E0BmodgX+Sry0J+cZdqJcwgxwzIMypiNjLEXuBiIMccRAsV5bb0Yz8XZlLM0c0AxHdfG3C0lRs38/bYykJQDRyRGMFUeWR4rs2fZmTd2FqJOQ0X7mwFNKnNLffWIr1eKi2vAZxr4Dgsf2cRv5VipYwgkJNVVF7nq/xjIzovgrxmqI300vDQ8ZNc6vgot6IqK4H1RVRbz2otyJq5kHNRNTcg5qLKDvzXVw7YARY/eO7WNAdjwD2kcuvCLyC67Dq3II5GsH4OQQv8AHV3IO/TYq9patKMozmcZ3ELMeTgiWeQGmhNqDeRoUNiq8TmmExSMYt7+kYH+8wt7HQc46t8DJfyaM8YxJOZ0jyDHI66C1GNJ/q0blNNUvy7rhUD38rn/emVA+/SxpfkhfPpXr4qZZ+egbZWxrbOgO2CbNprLVvy3VpcP6FaZjyeVp10eLiWz3VYwbpvalJf1+/mf0zvJcdKrF+bLkejczpX1boXx0aVs+Zo+d6VNB7Yq/XlKLaPRnpuNeW68qQ0io60nLYu7pvBtv09Zsx5Xo0DsHj2qGYe+GU647ecd4bW65H41hx3nNJnrwp16MxoHvWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqIssCYA+IxzzXWK5qQnzTT1IbkH1Rna1yff30dw5zN0zxGqKZkfdtyOt18LauWyPgLMVi1aU050L+YOT5YkcZCbYvxFcswLazv63TsGo+aPwAtRjD7eQ9AypknIKHJSaD1ToDilhh1FXtmcNsiDkfJyQqqrWunordo+XLWqFj3jGqluMz21uqxTfY6o7E3Jp/wgDQr6eGg9A2XUZQ0dFDQkEyvju7e6fla1P6miBuvIMb5SOvRjhDvpFXHqT6tNx0dX9K7PFO4eM/Hjl/MNp9oa4MxT0q2CGWp4um2M3kktw7X1avK5rj5WURvFO3VnKzGkHakMjEKNdli9sYXdG9pH9GeHPJgGj14j5GmMla8a4ZZdMynR2RRXXsr8UZ9mQwdlzOyusYeV6MHDnrgQdePcXZgxbgLpRbEDEdw1wqIcs7nukpJ4xP1cb47mtIbrI7ok4KFNDTY3sQFC1kVZT8vUHkNaBwNHKWH01ilY/DtNUpy1O+Tx8auRct/iXZuzf52h8Z4+Wguz8T0ies2cY1o1vCuLt+tcmAJFt4n2+S/VvcS+dXhiDZU4vrU4cx6GdGOf0wR7Jg844RmmzQ7iq3d/NTqE8PpUJm9c9zNTslCRmT/IlifUhqTEf24ZwfMDjpbhIRsZIjdGebejc/XGYpjzPpxQ8WnGux4i8mWzYi/oevOrozGIkcMvA4sV8a20ckB+YIxcZ1o627ndvXqg0h7TsIdJUzRjpXLxP8K/TY/ZpxsrI0I1DC+gUzbOt/7SClmQR11aJWvtkGmrSvlxVyGp1pqu/5ZmS4WJGtQxIXy4GrdB849umdeOEomJHe21obX0apsLlIer+gRe3tCUTzb/YFegVHuq7RKbtCca9MoGcAomOZRhGkrZZFX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCo5vH7kmaTX+uTlVbVfEY0Fk+dufwV1H4Iv43c5j6MTrdgFW7QGGAK9s5qhGuitRZhvG4UeJmRaWjZe8vPjknTyq05S3zN1s3G2PPaVA5p1LzRWQtTPguNFw6NF4E6bNFeo9WiqTeW6JkYW7T0bmUovzrcWjUoz0TKskdmUMMAKd1YKoxqX6Qqx/gG9U6ktSnS6sBsdXcD3DkfgvTP9dXZ/VW+ukfqJvk2PfLAOH7p0ywdks9laqsjNaaAnD/R9tWd/W2qQe5dsqBImc9x4ozhXaceXctc0p/plS0lO28tgjm39Fq3MTa2TeVfriFPaU5kNC8N4hNqEWv5XTmiFYt0zfE5Isr8d8inYr+jOmZ2W9t3EhX8CRtv8qyyvDhSGJH+pczb/lr0uu/ErxHFhDPtXXeBVv03jBQYYzIJfs8yozeEqxzvJLBH2yX7uW6neBdv5Eh0jaReqN8G2BiOeu1Yd8eW6bHp28+hJWrdvnVfC5lfEsxR4neWHb0OrWqn2kddrNyfjVZHr3LF+yo9zFb4Wn3MqI0bWdgor4hpq0+DubBE9bgwJoRLvV7Ukb+e5HVk5t2pUMqmtaFczDSwjXlO8ZJ0DhQRPu/ustebuyL0o7tGr0tYlxrXSJQwG5fq/IBraTErFa1ESG69tCYlznpUtl5YHu6qYe04W8qYrGCipNwNt3b70C5EK3I2hin0FJ/sLYsTXZqfwoW/I+WLEg3HkBxiE/zc62pH7X4NpyJe6TJnNiOqQZvQX4nBO7qfxRbVOnrlUHfph3AI5zEEXUvSD2lFrSs7U5Yld6mH039N1mCiYlF627J+H1wuck/WOdXpz5AsnNyboTLf5NTti+EQ0pMil3A+vL8h9eJEmW+b6vXBUJd7UORQh4c5zxD2zm3r+rxcTtX6WucSyoPXAbPzYnC4A1ges9h2IRZq4ryRr58DWoeTCupmtfhf+2H4WE71eYVyy+ibsxcBb53bxTozi35x/TljuYWM5nKO4TzTvHfWa/LzY/8vqvWmUqc3Xz999EvtGDC8ForzobJ0jHdHkZU3lAruD/hkSNV/1N/PyV8lvMpplMlRh5LZryinZlrI1MyXl77emWchMlk6ZTIVqdl4okknY3fUvroJPzu5B1j3lCh/U8l/Eev/jrYPtSdkPUw2nTMIbaqLKQtid9P6dG/P0ZZJjGd6+YxvC2pwT/yAavG8711qj2d+W4W+lX9JwnP9jkpVvxCZrO7y2XnVhR4Ud+A4F2S+943oTD1ns/gE2mnAHiOfo+JIyXz9vCBEn+LCVUkXhDCjpYpy10u5S2eS4hLa3ULfejTCx3qnH/cd8Hx+J88uReoXVNfRqwOu1JJUhx6pHlNmoEv634QI7VfqKvy9qst+SQ/XJM3oHRQleuM8qz4JtvSOC/s14yXKg5lM3Vy3Symqt7uH1ZnYRikXPvFejR9U4AeOlE16Wy8p7p6o6tzhrILmTMvk7ueOlMl7sh4wmu3k46M6fp5X8JoH9P92Kfq2I+keyNKlbHtE+3kTopdo3eyS9Hyusjpve6tCWvPVJtO0JyvtODBnJKv3BBI97spnP5+DlHI1cQkdd67ziUzptMjQS0men+OA0xCdgN7KfQ3pqURlJkoyC/gSeR4gyzyAzokgzYlIYSBKou3DswsbW6v/18d64Xj72tbmta372xuf3dD/D8j76qfqI3UZ1r5fq89g/B+qI+D0e/VH9Rf118bvGn9o/KnxZ2763jmN+Ykq/Gv87b+wMU0A</latexit> <latexit sha1_base64="UAg0Hmft6UgrJoG/nRZdITNzJv0=">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</latexit> <latexit sha1_base64="PU2v3YojpCzTrS/M1GhFIChYt7g=">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</latexit> UOT(↵, ) <latexit sha1_base64="C3I0bJk0cUwwhYFgBKPaTE0MQuk=">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</latexit> For (s) = sp , UOT1/p is a distance. <latexit sha1_base64="Cj3XCg2H2300+w6wHRs6XU05Xeo=">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</latexit> Theorem: <latexit sha1_base64="DhwuDjMSes9Cmo0GgDsveBpm0hY=">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</latexit> For (s) = log(cos(s ^ ⇡ 2 )2 ), UOT1/2 is geodesic.
  46. Generalized Sinkhorn <latexit sha1_base64="Yva7y9GdP9CqIYx1M8apsMD9yPA=">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</latexit> Ki,j def. = e (d(xi,yj ))

    " <latexit sha1_base64="M9/1Q7RVKRjsL4HJgBHCuxnfVZc=">AABEZXictVxfcxtJEZ8c/y6GgxxQvPDAHr5QOQjBCSmg6oqqS2TH8dmJnUh2cndKUitppShZa5VdrZxEp+JT8cznoHiFAp74CnT3zOzMSrPbsyZ4y9bs7Py6e3pnerp7Ru5N43E229r664X3vvHNb337O+9f3Pju9z74/g8uffjDkyzJ03503E/iJH3cC7MoHk+i49l4FkePp2kUnvbi6FHvZQufP5pHaTZOJp3Zm2n05DQcTcbDcT+cQdWzS4fdeSvoxtFwFqZpchZsdKfhYqM7TMM+fPRaG0v42H/anSXToJvD7cby6UI+7s7CfEl/f9WNptk4TibL5bNLm1vXtugnWC9cV4VNoX6Okg8/+pPoioFIRF/k4lREYiJmUI5FKDK4vhLXxZaYQt0TsYC6FEpjeh6JpdgAbA6tImgRQu1L+DuCu69U7QTukWZG6D5wieE3BWQgLgMmgXYplJFbQM9zooy1VbQXRBNlewOfPUXrFGpn4jnUcjjd0heHfZmJofgD9WEMfZpSDfaur6jkpBWUPLB6NQMKU6jD8gCep1DuE1LrOSBMRn1H3Yb0/F/UEmvxvq/a5uLfJOVluALRVr1PCgqhmBP9gN5mDs+kPDFwHgGFSPURS2ek61Pq/QTaL6D+PlxLKmmd9OBaUO2yFtmCy4VsschduFzIXRZ5AJcLecAij+ByIY8UErEp6dyNb8PlwrdZzg/gciEfsMiHcLmQD1nkCVwu5AmL/BIuF/JLFnkHLhfyDovch8uF3GeRHbhcyA6LPIbLhTxmkTtwuZA7Clk9U1O4EqIzZmblLSiXeaCliKHmFivfbbKOLuxtjzndr8Dys3obPt3YbQ+dRhXYHY9xN6zA8iNvF2ykG8vboru0mriwd1nsHowAN3aPxX4uXlRgP/eYaS8rsPxcO4B2bixvfe/BnRt7j8Xeh5Iby69Rh1Djxh56rBjTCuwRi30gXlVgfax+WoHl7X4b7Ioby69THWjvxvpY07wCy9vTE/Bg3Fh+tXoEtW7sIxb7WLyuwD5msV+AdXdjv/BYYd9WYPUau0EryIj8kQhmbB21sJiVWJoCtZDhHxdrS0y+cQ/qOcyowIwIc8oidgvErifioEAceMuVFXY0I3+X59IuEG1PRK9Ym7A0Y9sPivZYij0Q2wViewVR55Hiu9Z9mZN3oWs45KxYubDk06eksN9YitR4qLe8GnFYQsix/ZxG/lWKljCCQk3VUXterPESGdB9HeKMojfdS82Dx80Kq2CjXrOongPVY1FvHKg3LCp3oHIWNXeg5izKzHwb1/UYAUb/+C4WdCdHgPSRq68AvIJbsOrchTkawPg5Ai/wIdUcwmebYm/uqpMMo3lcJzHL8aRkiVMoLcQm1JuocJvi65hmWASSyZaHKsbHO8xtLNSck1Z4WazkQZEx8aczJnlGBR30FgOaT83o7FPNkrw7WWqGv1vMe11qht8hjS/Ji5elZviZkn52Dtk7Cts5B7YNs2mqtG/KTWnI/IukocsbtOqixcW3eqrGDNJ73ZD+nnoze+d4Ly0qSf2YcjMamdW/rNS/JjSMnjNLz82ooPckvV5dChr3ZKLiXlNuKkNCq+hEyWHumr4ZbDNQb0aXm9E4Ao+rRTH3wio3Hb3Tojem3IzGiZB5zyV58rrcjMaI7qU+TLkZDcy2hCrON+Wmlh01IGNnU25q1SeUBcYckBzzssZ4RSn5SbmiNib/oD5bY/v86+sY5myeFjFCPSXj21bT6RVrWb1E2l+IwKrNGsqB/kVu+WBlGgtxg42vpAyz0vq+Tses8aj5A9BiALNf7gFwOfMYJNQ5CbTeMVC8zkZd5Z5p3A0Wh6NkuILqqtoZ6y0avjJrVK57RrVcXGZ6a/TYJXud0dibkk94QJrl9HBQ+YarKHIaOihpiKfXRHdv1Xwta3+LxU1XENNipPVpR0jupNXHqS6tty0dX1a7PDO45J6PGb+YbR4qa4MxT0K2CGWp42m303kkuw7X1avC5Ljls4DeKNqrOVmNMe1IZWwUqrPF0htf0L2hfUx7cshD0ujDewwUlamQu2aYRcd8ekAW1ba3HG/Ul87QyXJGVlfb43r0yEKPHOjmMU4LVoz7UOpAzHAMdx2PKGej0FVCGk/Fr4vd0YTeYH1EH5cspKYh7U1UspB1UfbzEpUzQONokFG6P41VOhrfXaPER/0ueUzsWrb8l2nnVu9vhzTGq0dzdSZmQFxvENeAZo3c1ZV3qxykBAvnkxvkv9b3Evk14Yg2lOP61OIs9TKhHf+IItgpecYxzTZudpRb2/mp1Sea05HQe+e4m52QhQzI/gWwPiU0JgP6tc8O6B10aRFispE+dmdceDcuX2fMjjHjx42FPNVgxltEtiwn/pquPbsyGosyYpDrwHJlbGudHJAvGBHXVFl3M7frVx9EmnMS9iiRFM1YuUL8P6G/+lePk821EYEaxjeQKVvneh8JxSyoo5BW+XobpNvaUn5cyPBUSW3WPyPTxyXJtiniQnlwtR4A5z7dS144SlKSO1trI9fRumwuUp6u6BF7O6QoXtr9kVqBUe6rtEpu0pzr0igZwSiYFVGEbstlkVf51vMqU/ejnf1fqBtdl7WGFANhMrhSQ1x+P6JozZYyhlEtx+9Lmk1uracrrer5TGgsnlpz+Wuo/Qj+arn1vR+dXskq3KYxICmYO6MRWROstfDjdbvES49MTcvcG35mTOpWds154mtp3UyMPW9M5YhGzWuVtdDl89B4YdF44anDDu01Gi3qem2JnrGxRUftVvrya8Kt04ByzlLmPTKNGntIacdSflQHLFU+xteotyytLZZWCLPV3g2w57wP0j3XV2f318XqHog75Nv0yQOT8cuAZumYfC5dWx+pSQrI+aayr/bs71INcu+RBUXK8hwnzhi569Sna1lI+gu1siVk541F0OeWzlQbbWO7VP7tGvKU5kRG81IjblKLSMlvyxGsWKRrls8RUOY/JJ9K+h31MbPd2ryToORPmHhTzirDS0YKE9I/l3nbW4te96z4NaCYMFfedQ9oNX/DSEFidCbB7Vlm9IZwlZM7CdKj7ZH9XLdTchdvYkl0jaReiD962BgZ9Zqxbo8t3WPdt19CS9S6eeuuFjy/2Jsjx+88O3ohrWqnykddrNyfj1aoVrnyfZ0e8hW+Rh85tbEjCxPllTFd8ak3FylRMy4S48OlWS+ayN9M8iYyy90pX8q6taZczjRIG/Oc4iXuHCgiXN7dFac39wnTj94avR5hbWqyhqOE2bhE5QdsS4tZqYtr65CsvVi7GsXWSlS1Umjq9mph7Le0kBFZv1hwORvZ2pa9W4pS+CyMpNAX8kRvVXxo0/wULvwbCFd0qDn65A7b4N/eEi2x8w5OQ7xSZZnRDKgGbcFgJfYOVT/LLep19MqibtP34eDPYwy65qQf00raVHZJmZfcpu5P/4ysQCoiVnrTsnkfbC58T9Y5NenPmCwb35ux0N/FadoXzcGnJ2Uu/nzkvgbXi6HQ32lq1gdNne9BmUMTHvocg987N62b87I51etrnYsvD7kK6B0XjcOdv+pYxbTzsVCp9UbePQe0DsMa6nq1+F/7ofkYTs15+XLL6LtmLzzeumwXqYws+sPN54zh5jOaqzn680yK3hlvyc1P+n1BozeVWL159/TRHzVjQPNaCJkH5aWTeHsUGXl9qeC+gEuGRPxH/OUC/22EVwWNKjmaUNL7FNXUdAuemv7Gpat3+pmPTIZOlUxlaiaOaNOJ2JbYE3fgt1V4gE1Ph8rvUspPxLq/PzuA2iFZD51Fl5mDLtVFlP0wu2gDujfnZ6skxrO88mxvB2pwL/yAavGc731qj2d9O6W+VX+DRM71eyIRg1JEsrq7Z+ZVD3pQ3nmTOSD9Pd+AztLLLJY8eXbqsbeoz0+tSrSgJ/zJgl4lvmdJ2aexOlV79bhzgCfswyI/FIjfUF2o7DyuuRzno0rORyucM9JOmcNr61n92awqLi2Ly6DInc1Vu4TibLOfV58b3a7kIs+g1+NHNfiRJWWbtP+SIuFU1Gfz8hqauZLJ3mGdCJ2JlHrAODMs3nd9ZDuv4TX36P9+JXrfknQXZOlR/jugHbaU6MVKNzskvTzpWJ9JvVsjrf4epaRpzjqacaBPLdZn6WM17mTmQv83ggXNB1xN9clELnsSVdDp0YnAiCjJM5LcvgEvDy+NjywclZyVJPf49u7cQ5a5B50hI82QpTBiJVEz+Nmlzeur/x9jvXBy49r13127+eDm5me31f/OeF/8VPxcXIF14/fiMxihR+IYOP1Z/E38Xfyj9c/tD7Z/vP0T2fS9CwrzI1H62f7ZfwHjijY0</latexit> v ✓ b K>u ◆ ⌧ ⌧+" <latexit sha1_base64="Ybk+FeTglgqcXBofcqxggE4JM8o=">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</latexit> u ⇣ a Kv ⌘ ⌧ "+⌧ P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="rQO0cwkMU+TXvN+Vjv+TZtYgPP0=">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</latexit> min P>0 P i,j (d(xi, yj))Pi,j + ⌧ KL(P1|a) + ⌧ KL(P>1|b) + "H(P)
  47. Generalized Sinkhorn <latexit sha1_base64="Yva7y9GdP9CqIYx1M8apsMD9yPA=">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</latexit> Ki,j def. = e (d(xi,yj ))

    " <latexit sha1_base64="M9/1Q7RVKRjsL4HJgBHCuxnfVZc=">AABEZXictVxfcxtJEZ8c/y6GgxxQvPDAHr5QOQjBCSmg6oqqS2TH8dmJnUh2cndKUitppShZa5VdrZxEp+JT8cznoHiFAp74CnT3zOzMSrPbsyZ4y9bs7Py6e3pnerp7Ru5N43E229r664X3vvHNb337O+9f3Pju9z74/g8uffjDkyzJ03503E/iJH3cC7MoHk+i49l4FkePp2kUnvbi6FHvZQufP5pHaTZOJp3Zm2n05DQcTcbDcT+cQdWzS4fdeSvoxtFwFqZpchZsdKfhYqM7TMM+fPRaG0v42H/anSXToJvD7cby6UI+7s7CfEl/f9WNptk4TibL5bNLm1vXtugnWC9cV4VNoX6Okg8/+pPoioFIRF/k4lREYiJmUI5FKDK4vhLXxZaYQt0TsYC6FEpjeh6JpdgAbA6tImgRQu1L+DuCu69U7QTukWZG6D5wieE3BWQgLgMmgXYplJFbQM9zooy1VbQXRBNlewOfPUXrFGpn4jnUcjjd0heHfZmJofgD9WEMfZpSDfaur6jkpBWUPLB6NQMKU6jD8gCep1DuE1LrOSBMRn1H3Yb0/F/UEmvxvq/a5uLfJOVluALRVr1PCgqhmBP9gN5mDs+kPDFwHgGFSPURS2ek61Pq/QTaL6D+PlxLKmmd9OBaUO2yFtmCy4VsschduFzIXRZ5AJcLecAij+ByIY8UErEp6dyNb8PlwrdZzg/gciEfsMiHcLmQD1nkCVwu5AmL/BIuF/JLFnkHLhfyDovch8uF3GeRHbhcyA6LPIbLhTxmkTtwuZA7Clk9U1O4EqIzZmblLSiXeaCliKHmFivfbbKOLuxtjzndr8Dys3obPt3YbQ+dRhXYHY9xN6zA8iNvF2ykG8vboru0mriwd1nsHowAN3aPxX4uXlRgP/eYaS8rsPxcO4B2bixvfe/BnRt7j8Xeh5Iby69Rh1Djxh56rBjTCuwRi30gXlVgfax+WoHl7X4b7Ioby69THWjvxvpY07wCy9vTE/Bg3Fh+tXoEtW7sIxb7WLyuwD5msV+AdXdjv/BYYd9WYPUau0EryIj8kQhmbB21sJiVWJoCtZDhHxdrS0y+cQ/qOcyowIwIc8oidgvErifioEAceMuVFXY0I3+X59IuEG1PRK9Ym7A0Y9sPivZYij0Q2wViewVR55Hiu9Z9mZN3oWs45KxYubDk06eksN9YitR4qLe8GnFYQsix/ZxG/lWKljCCQk3VUXterPESGdB9HeKMojfdS82Dx80Kq2CjXrOongPVY1FvHKg3LCp3oHIWNXeg5izKzHwb1/UYAUb/+C4WdCdHgPSRq68AvIJbsOrchTkawPg5Ai/wIdUcwmebYm/uqpMMo3lcJzHL8aRkiVMoLcQm1JuocJvi65hmWASSyZaHKsbHO8xtLNSck1Z4WazkQZEx8aczJnlGBR30FgOaT83o7FPNkrw7WWqGv1vMe11qht8hjS/Ji5elZviZkn52Dtk7Cts5B7YNs2mqtG/KTWnI/IukocsbtOqixcW3eqrGDNJ73ZD+nnoze+d4Ly0qSf2YcjMamdW/rNS/JjSMnjNLz82ooPckvV5dChr3ZKLiXlNuKkNCq+hEyWHumr4ZbDNQb0aXm9E4Ao+rRTH3wio3Hb3Tojem3IzGiZB5zyV58rrcjMaI7qU+TLkZDcy2hCrON+Wmlh01IGNnU25q1SeUBcYckBzzssZ4RSn5SbmiNib/oD5bY/v86+sY5myeFjFCPSXj21bT6RVrWb1E2l+IwKrNGsqB/kVu+WBlGgtxg42vpAyz0vq+Tses8aj5A9BiALNf7gFwOfMYJNQ5CbTeMVC8zkZd5Z5p3A0Wh6NkuILqqtoZ6y0avjJrVK57RrVcXGZ6a/TYJXud0dibkk94QJrl9HBQ+YarKHIaOihpiKfXRHdv1Xwta3+LxU1XENNipPVpR0jupNXHqS6tty0dX1a7PDO45J6PGb+YbR4qa4MxT0K2CGWp42m303kkuw7X1avC5Ljls4DeKNqrOVmNMe1IZWwUqrPF0htf0L2hfUx7cshD0ujDewwUlamQu2aYRcd8ekAW1ba3HG/Ul87QyXJGVlfb43r0yEKPHOjmMU4LVoz7UOpAzHAMdx2PKGej0FVCGk/Fr4vd0YTeYH1EH5cspKYh7U1UspB1UfbzEpUzQONokFG6P41VOhrfXaPER/0ueUzsWrb8l2nnVu9vhzTGq0dzdSZmQFxvENeAZo3c1ZV3qxykBAvnkxvkv9b3Evk14Yg2lOP61OIs9TKhHf+IItgpecYxzTZudpRb2/mp1Sea05HQe+e4m52QhQzI/gWwPiU0JgP6tc8O6B10aRFispE+dmdceDcuX2fMjjHjx42FPNVgxltEtiwn/pquPbsyGosyYpDrwHJlbGudHJAvGBHXVFl3M7frVx9EmnMS9iiRFM1YuUL8P6G/+lePk821EYEaxjeQKVvneh8JxSyoo5BW+XobpNvaUn5cyPBUSW3WPyPTxyXJtiniQnlwtR4A5z7dS144SlKSO1trI9fRumwuUp6u6BF7O6QoXtr9kVqBUe6rtEpu0pzr0igZwSiYFVGEbstlkVf51vMqU/ejnf1fqBtdl7WGFANhMrhSQ1x+P6JozZYyhlEtx+9Lmk1uracrrer5TGgsnlpz+Wuo/Qj+arn1vR+dXskq3KYxICmYO6MRWROstfDjdbvES49MTcvcG35mTOpWds154mtp3UyMPW9M5YhGzWuVtdDl89B4YdF44anDDu01Gi3qem2JnrGxRUftVvrya8Kt04ByzlLmPTKNGntIacdSflQHLFU+xteotyytLZZWCLPV3g2w57wP0j3XV2f318XqHog75Nv0yQOT8cuAZumYfC5dWx+pSQrI+aayr/bs71INcu+RBUXK8hwnzhi569Sna1lI+gu1siVk541F0OeWzlQbbWO7VP7tGvKU5kRG81IjblKLSMlvyxGsWKRrls8RUOY/JJ9K+h31MbPd2ryToORPmHhTzirDS0YKE9I/l3nbW4te96z4NaCYMFfedQ9oNX/DSEFidCbB7Vlm9IZwlZM7CdKj7ZH9XLdTchdvYkl0jaReiD962BgZ9Zqxbo8t3WPdt19CS9S6eeuuFjy/2Jsjx+88O3ohrWqnykddrNyfj1aoVrnyfZ0e8hW+Rh85tbEjCxPllTFd8ak3FylRMy4S48OlWS+ayN9M8iYyy90pX8q6taZczjRIG/Oc4iXuHCgiXN7dFac39wnTj94avR5hbWqyhqOE2bhE5QdsS4tZqYtr65CsvVi7GsXWSlS1Umjq9mph7Le0kBFZv1hwORvZ2pa9W4pS+CyMpNAX8kRvVXxo0/wULvwbCFd0qDn65A7b4N/eEi2x8w5OQ7xSZZnRDKgGbcFgJfYOVT/LLep19MqibtP34eDPYwy65qQf00raVHZJmZfcpu5P/4ysQCoiVnrTsnkfbC58T9Y5NenPmCwb35ux0N/FadoXzcGnJ2Uu/nzkvgbXi6HQ32lq1gdNne9BmUMTHvocg987N62b87I51etrnYsvD7kK6B0XjcOdv+pYxbTzsVCp9UbePQe0DsMa6nq1+F/7ofkYTs15+XLL6LtmLzzeumwXqYws+sPN54zh5jOaqzn680yK3hlvyc1P+n1BozeVWL159/TRHzVjQPNaCJkH5aWTeHsUGXl9qeC+gEuGRPxH/OUC/22EVwWNKjmaUNL7FNXUdAuemv7Gpat3+pmPTIZOlUxlaiaOaNOJ2JbYE3fgt1V4gE1Ph8rvUspPxLq/PzuA2iFZD51Fl5mDLtVFlP0wu2gDujfnZ6skxrO88mxvB2pwL/yAavGc731qj2d9O6W+VX+DRM71eyIRg1JEsrq7Z+ZVD3pQ3nmTOSD9Pd+AztLLLJY8eXbqsbeoz0+tSrSgJ/zJgl4lvmdJ2aexOlV79bhzgCfswyI/FIjfUF2o7DyuuRzno0rORyucM9JOmcNr61n92awqLi2Ly6DInc1Vu4TibLOfV58b3a7kIs+g1+NHNfiRJWWbtP+SIuFU1Gfz8hqauZLJ3mGdCJ2JlHrAODMs3nd9ZDuv4TX36P9+JXrfknQXZOlR/jugHbaU6MVKNzskvTzpWJ9JvVsjrf4epaRpzjqacaBPLdZn6WM17mTmQv83ggXNB1xN9clELnsSVdDp0YnAiCjJM5LcvgEvDy+NjywclZyVJPf49u7cQ5a5B50hI82QpTBiJVEz+Nmlzeur/x9jvXBy49r13127+eDm5me31f/OeF/8VPxcXIF14/fiMxihR+IYOP1Z/E38Xfyj9c/tD7Z/vP0T2fS9CwrzI1H62f7ZfwHjijY0</latexit> v ✓ b K>u ◆ ⌧ ⌧+" <latexit sha1_base64="Ybk+FeTglgqcXBofcqxggE4JM8o=">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</latexit> u ⇣ a Kv ⌘ ⌧ "+⌧ <latexit sha1_base64="dr9fl5ndkD+EfhnptSEBNz9eg14=">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</latexit> day 1 <latexit sha1_base64="MTxCuQn84HaqJmL3FztUTylLjR8=">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</latexit> day 18 <latexit sha1_base64="mmAT2n/rR558TNNl2GzyyakJ8RE=">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</latexit> Application: developmental trajectories inference. <latexit sha1_base64="vh31vAG5AzHYBeJ+kRgiWs/Cvbc=">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</latexit> [Schiebinger et al 2019] <latexit sha1_base64="E7xwgtYw1POYNmjFBGWIgnslFAY=">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</latexit> [Waddington, 1936] P = diag(u)K diag(v) <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="VSmNhdQ9or4pXCDzkM6UsvN5TRc=">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</latexit> <latexit sha1_base64="rQO0cwkMU+TXvN+Vjv+TZtYgPP0=">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</latexit> min P>0 P i,j (d(xi, yj))Pi,j + ⌧ KL(P1|a) + ⌧ KL(P>1|b) + "H(P)
  48. [Solomon et al, SIGGRAPH 2015] Extension: Wasserstein Barycenters Martial Agueh

    P s s = 1 <latexit sha1_base64="gp0r7NFFOnEdlcEkqhldMsRdXkA=">AAB2mXic7V1bdxw3csZubmvmpk0ek4dOKGUpRVJI2okT79GJeZNEmRZpkZRlcyhmLk1y5Ll5eoYiPUv/krwmL/kFOfkjyVte9wfkIW+pC6qB7kEDaMo+uzle9RHZg8FXVSgUCijc2Br1utlkefm/fvTj3/rt3/nd3/vJewu//wd/+Ed/fOunf/IyG07H7fSwPewNx69azSztdQfp4aQ76aWvRuO02W/10s9bX23g959fpOOsOxwcTK5G6XG/eTbonnbbzQkkndy61cim/ZMsafSa8PNRsnJya3H54TL9S+ZfVvTL4sd3/uc//1sptTf86Uf/rhqqo4aqraaqr1I1UBN476mmyuA5UitqWY0g7VjNIG0Mb136PlXXagGwU8iVQo4mpH4FP8/g05FOHcBnpJkRug1cevB/DMhE3QHMEPKN4R25JfT9lChj6gI8d2o8idpWz9WG2lGHalNtqX3i4X8WCLcBfEfqCnh2QfpzKGGilkCau/B7FUq/rD6EtycgY4vypCBjovbgN2JSkpQpfarW1IF6SryX4P1TeLtbqaUZaSeD/03gee7Rp+Q8BUmxfjLSYCh3BvL1QeYwXeTep3xYilgZ7kPeIieT0gabus41U0VRSo721VeXXknPQNdNSD0n+/PnzSC9BZJifU6pjvw6GBPtK2+uCdX/lGx1DPzvk31zmxlTOdJcg134pqPbUgKoFGhg2oB+nkHaEKRLiMeYOEjZMo8ENlUs25hq7lrreBvSM5JlQrWQwCemkNLnU5IQW1tKOVkvUgMoM0o0gLSUuHQ8klxatJl/dU671Us7ETRrg8s8JrlS9ZYQfZIMyzuD71rkjbDddSkPlhvzo6fCdjMDLyVyMA0sU0pcsYyz3MJn0D7tb649mBG8oWdA1J5+HwLvLvlAbAU+NOrwlPLMwB+lVGODSGxb62tGvmlMGmS7u/LierpMM/CCqdahL/84z/9C28IY6s6HSKFG+1onW/DepE+mN3Ch7lEby8hrzcAnNkkTiU6bEgVbK9XWdEqW1NRW37A+o0VckRwzsJYhSJZqDyQymbwzsqOMeKL9oVRP6Sfm6M7Rll7MhTsgryDlD/dYCWjtuXoJrfWF2oW3LdAHphxE9ldSGmwrF+QDUGvSb8/IJ1zrNiNex8jN34x1L3sEPdtD9XdUp8fUhh6q9+kT5sPvVtTf68/fUtoC9Q4TaglcP48oH6Pwuy55mX7Ftz3SFrZj8z3mxu/YFxbTFzSKpeccthd8BBIKXjgXv7fpZOQxUPq3kKtDVjorSGXSsbQP4PmWetoG6euUeimUgfX6qAK7ABjWdKo9mNG/9Ikx9cj9l782b9N3U/IPWLrbP8iaahDFS/iJvb79OaPPS4C7S9r/fuozXJuTQD2Krf3Qau77a2PhOsHeBuObY2/N+Orkb9+hTvj7qnq5vKE+l9QilAhtPaZOF2rrHfM34b1DMvWI3pkl1TwllGrVoYPrKD+5EOxVOeraoP7U14cai5gfX2KU0CUfaizi38AuUZffqv/Q8WoCZeNRapss0D9mddH8J3iQ5s/guVbvEc1DkNqUMoFPHEuxdjMaJ13AWxveOhQh83gjIW2d6fGwr3TP4WE9y2i/Bc+MUq+9yA14XMiNIPIJPC7kkyByBx4XcieI3IPHhdyzfIKvxvbhceH3g5w/g8eF/CyIfAGPC/kiiHwJjwv5Moj8Eh4X8ssg8jE8LuTjIPITeFzIT4LIA3hcyIMg8hAeF/IwiNyCx4Xc0sjqljrW/UyHPJmPxxrFZjaPNvzuQcpaUL51mtVxYdcj2nS7Ahtu1ZsUU7mwmxE6TSuwWxF2d1qBDVvek3wMXcaGfdHTfHxZxj4NYrcpknRht4PYZ+pNBfZZREv7qgIbbms71Fu5sGHv+6meSZjHfhrEPtfjhHlsuI/ahRQ3djeixxhVYPeC2M/U1xXYGK8/rsCG/f5+HuGXseF+6iCPQ8rYGG86rcCG/elLGMG4seHe6nNIdWM/D2Jf6bmMeeyrIPYLmmtzYb+I6GG/qcBKH8vzoGc0HkmhxfqoNfNWiW84S9wM8O/lfQu+YR/VCWLOcswZYcpzhy7PKognkYidHLETLVeW+9GMxrthLvs5Yj8S0cr7phbFW6H8nTx/hyKaMGIzR2yWEL4RKa92MO6CRheSEkLaMyPnUWUa5v4b31JtD37PK4jdAoJt+5wsH1eEJhQHoaZ81M7zPp6RCX32IXCe+TQvpfAI4ya5V7BRl0FUy4FqBVFXDtRVEDV1oKZB1IUDdRFEmZZv4xoRFmD0/5bmVE5z7xaeCy+ulu5Cj7sFvR+m7MLvmNlwf0yPcw/YU5oZHvHFY4UrGYu0ZiRx4SZF2LzGktIaBebchfYmq3u4mjHTrY798HXelydK1j/i6XRJnrOcDo4XE9WvTecTSrmm8V2qV9nq4J/mLV/e6uG3SOO8HjTI11zi8RMt/eQGsh9o7MENsPvQnkZa++a9Lg2egWEa8r6gGno2Hmu1r20G6V3WpL+ta2b7BvXCK4f2KmJ9HWVW+bJC+erQMHrOLD3Xo4LjJx73yltSuyQDHfma97oyDKkfHWg5zKe6NYN5Orpm5L0ejT0Yc21Q1D2z3uta7ygvjXmvR+Ml5eSowrzXo8G7H1gf5r0eDZxvaepI37zX9eyoAY6ezXtdr47z66kyOwc4xYyLxjRSkn0kXRoh+Odr7FH/fD+Gszav8yjBT8mMbqvptFQapGMiEllnqycHjjCmehS2AShcIQjPWzVp3Gz36GXudq+Out4Bvdn7YPwzcj2QSeYhUpq5f633lfgwdlkMbjWIQ7s4LaEaOnUSHCEavjxTVEw7odRQLGZKa/TYIA+dkbWNaBy4Q5oN6WGnpIcwxZCGdgoaCtOro7tvdAstan85iBuVEKPc0tq0wsj7Iv2xqUvr+5aO7+iVHVz143Weqn1cp+R1miSLj6edT+aO7DTsSe8rM6/N3yVUo+ihLshPdGkVKrxXS2aIefw9o8+G9iGt/hVX0hJNRXbD4cw5zqEn5ENtDxvijfqSWTl+z8jPigcOrdgZ9JkDXTem2aAdPvvw+QWUeyNqj49ZBxySvsfqQb67ckj154/h7dXGRk5D9s3Z/tEXV58XqPDqb6rj8ngaZTqCb8xRCsf5LnlMtFr0+3fynZUTGgn0vLZcPffSIa6rxDWhNjOmdjiz1uwNB5Zg5vxmlcar/lIivzoc0YOGuL62OLNeBrR7NqWIdUQj4R61tVDbKOa2Z6TK3winPSW7u3H9ekj+MSHvl0DvNCSbTOi/vQ+c19HEH/TIQ8Z4nW4+mnGNbbpBGzPjtq7ivZfG3lz7Ze3WxXs0OELgXuC6ZNuikx0a+/Fuh7H27aZt+/uelHbKyo5u20qYorGVJeJ/l37Kf7GTxTmLQA3zvlb2dK76GFKMgjpqUh/v90GS15bydi7Day216f2MTLcLkm1ShJXofbgd4NxWvLcZeaGVjEnubC6P7GOv7qOQ8qikR9m90tBe/0z3vyj3feojF6nNNZQ5KSBRg+QNzRuX+fp5FanH0c6+F+pG10WtIcVEmTlb1lBoRj+l6MyWskdnK3i3b6opzWt9XMrl5zMgW+xbbfkXkPoX8FPkls9xdFoFr7BONsAUzCejEU5J5nLE8Vov8BLLFFrms+FnbFJy2Sk3iafZu5mY+qI2Fd41f6lnKeT9JjTeWDTeROrwgFYXjRYlXTzRSTCyONDrk7H86nA7qEF5GqQcHpEJqhshpR1JxVHtBKmGI3xBfROktRykhXsN7dl/u83HIN1tvdy6f1Ho3R/T6Kat5CwDjzrL5z78kRpTQN4faA9rt/8GpSB/e7eqfX4J5yXbREFk/Svdtw3J0xufIHuV3uo84mUb9P7+HLJPrSKjlimIDyiH7N605UhKPumhNepIaK6/SaMqHnn4Y2Y7t6mVpDCiMPEmtyvDq6d+puOFAdXBRP3Sy217LoLdtmLYRPE6Zy+PMbCWf1mrljGyZMuQ2QT3+DKjWsK+jtcPeFzLp1vmvRWv3g1A+2J3DxXvr30U4Wk48nXvhsbvpjpuwrLdg5yoeVPzrhxhfr1ojiF+N1nH4x3K/XyPcvHzzWg1dV9X/FyP1lpJrrV3kGutJNfanFxV9TMt6cPU05Ty2HGPiUGLmIb6eTQXlqgeF8bEcFm7QVnWapdl7QZlWatdlnqlqCN/PcnryMzrfrGUJbdQLs7psB8/p8g0tMcWEa5x9JJz3Hw3UI7WHL0WYW1qnBKihLOeQz0TY/doOP/33lx/z6nveXv9ntXjV/XIQt3ulU0/yb1QSj0Mx/1+/13cXZFoWUWC8HwXU2gr3i1dFYnbNH8OD/5MlCsOF44xs7T7EEngmZG4WwL8+0y+1u88c5xQCvq1TmmWo6nLWczh19HXFnWbfgyHeB548jskfZdGK3VlZ8phyW3q8fTfkhcYqzQovclZvww2l3BJ5jnVKU+XPFu4NF0901m/LMIhpiRFLvF8eP0oVIpTJTeB1CuDUA+XoMihDg/ZIRJX5yZ3fV42J7++5rnE8uBeQFa2BIcrrNUxockX46HGVo189xzQO5x6qEtv8a7lED6GU31esdz4hpI3EbXO+VI9941j+/ptxnCLseZqjvE8h3npzGjJzY/HfUmtmhpapfnu6eN41NiA8JopnnEOS8d424qMvLFUcAXGJcNQ/W+UDIyvkiGWiqwEVVOSHGFqcorVVSr5LkYmQ6dKpiI1+xRxQvecZLr9mpm6TH+7RauNsvL4kUpoRYpXHjMlO5y5/XxJrQBz2KfNyyeiBcmtyj6rHYvB8YT4mnhUX/HtK/Nojrdugp6pD9QouOoilMyIHsfPSempPtlerbHqubLFfHbZx8cuTUjP1bxwPfXE4unmWoXleSy85+kr4Ia70/geAdYrz75fKLmhpUHrXHhTwSrlkFV+ngM8gt/H8NOlX66pY52HZ1HPiaJPvy5KoSdeT25dudJcKeGo7rHaVk/UIbTxLfWuUR3PS0+U7NJPlX3jFdeSSZmp9wkf8l8j0lEszWWLpo9qH+L74l1nRyAP1vqCVUv23EE59znZCvtAyV8taxXVtuK5GTmFUK5DjuPrPygVzyHxvDuPg3G3Jp9UKd4MlxXkk5mQsmx2SYtafwBth/Xuatdt4iT9hr2i11UTy9rnS1BE2jKamzFmtPJSRhsaJme5rqqt1aWN8s14dS3MtltZqapraz8US/v/bmdV8i865P8uLYwjq3q+7F6Fhf3Gdn7VtvMuHureO1nQTX3Vb2zp19WWbuqHbDvy78LoUg3zjV6u8yZZ6Za5lr5lTu7eCo0Dixxkz3tqxUwNK1VW/M0KWRFfjEV8e1xvxs9EV3XvZI4Zg/OJA7lr09yJ29crUBy/tWmeQex5RvHchFoH38HbUnIK9kMldyNXI0dzqA8K0XEZ0yJuE9JoGfl+Pp4s3keK+6JxBsE+vSGzh4k+iYW306GlJgXkw5ye2FeIbpka394ts3ejkob5dIe5QTgplK+YV/bacvSY5BIZGWXn9GUuXeIpN++LEqmEepE/343cpJxI/UFO35bNSNChFcsqXSVk1T5tmhMvq4r3nveojvkEylThrtqpg2M1p3fn0CSd8DyW7Udl3qCsYZN/3vMyRfajQ/IMMRRN/nmKVbNI5XJj+1jV3jmpRLm1aWOrOVbV6bUVP4c4x9AQLbrphGoLKa1EUQrVUpGSyxsnuh5Rli618jZZJe/bm9CYIdN+lncMoXbD96hfV+Y7KvhEvut/QHrE3RAtXeYqHuWc1ec8+HzFhFDm3ZzBkza2qU5o526iZ6NwrvfSU8o+zbZNVFev44hm99Rj9UT9DdDqQu5vvKWY6DyCTeb2Y/n3Uxzkt/nZO4TDtyOtqRf5HY1V+wjlnUcpL/Q9b3662wGq83S3c7p+yiF5fRL7KT9Wz2ncUEcbLPVJxI7iJ3T3mo8y3jR3QrkaczfkV9PdBBkez9W9pIZ2JMleKb4JWqSxbwO8TScI+d4FtMNJLelalBbHxeS8Cad9PXPrOr9lvgvpclfrsqNvAfLlvtS7IkN7IS+pFJzztZJ9ueMg/UzJeUwZY1/S2WwZUZt4IUyleGbInKTkMtg0ZdweonuZy+ezac7Dd57NVPk+MZelx/CUO5FYH0WqZQ3HUNsp0GO75b3ZZYnjqTPt/bzkhnaR4lLObUbliqvPfTWy6C4B8m6kPYl/K9tADFc+V2R/XrJ0dUW3dVXpLiyf/M2gId2eaKy1yrbw9kVXa6jjNQzP6zkZZrmdla02juK6k6atr2uvrYV3k1bLLP2Rj8Ih9DV84/FhRN/FOU0/hXeJFltDeKwhVNbozMWRg8ZxkMp6TgUtoKspFekcR5Sex6bFc0fuM9n+06qt/K5VvP30hGrgfu3a3FfytxrMJ/zeR89PkXdu85hW2nzHOuW7oiMkjm/MKSk8//GA0l7Bw1Z6os+CJ+qv5ySx0VMaebxW91SS+xR/HfCdUNKT2mlLFiUcX92Nsi/bup5FWpOxJX/ejTzvroq74RARgrFvGyhSiJd2D0Z1bnosfTylQ00n1PL3cn7FEdWIuD0LoL9QVXfNfqGunb2hWAzPF8lfALL/Os+IEOY0C/Mu5se/GIQpfbDkAcW/U1XvrzchBd7Jg6gteuvqXT/sG4Y0esYITe6EMH9/iE+fY0vDWSv/2TQ8dT5Urlni8t8i4XkfPpuDUvI5syMo05DOun+kPdZxhHcYEIXy7Tg2hxbNMfHOAhw7P1b/GKT6hnTTLJ3MCsn/LEclpTKEzkCgt+azBiF+dmmOoF3a2HmucvvTCtjPDvi9eqemOlqvEkOET6yeFeQ3vtjcAnGivVUromar7rOO+XsN+3l7n7/7perG6CXAhEat+3N+xKYRQ2GqyvdHc/uYBksltxiWkeFdhx1VvoOd66UTYZ09Gtf1Sm2hKME6lX1Zj2Kxpu/nEZ2P+iu6f5r983mw33pl5ce3E+hF3Gdei9/HzB5INMBRe9lKfegrHTsu0fjGFSv4sRcaXS/+CMdV8jc8yrGgq69yx25+uxgoOR9cvsnZd9JJVotwDmPh5NbiSvlvss6/HK4+/IeHK5+tLH68rvjfT9Sfqb8EoVfUh+pj9RSM5xDYXah/Vv+i/vXizy/WL55ePOOsP/6RxvypKvy72P8/m/Qudg==</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="NrvueCyY/slmsn9VM3LdPoErJ0w=">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</latexit> Guillaume Carlier ↵2 <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">AABB0nictVzdchPJFW42fwv5g+QyN5N4SbEpQoxDVZLaStUa2xgvAgSSgd0VuPQzFoKRRmgkG9D6IpXbvEJuk8fIc+QNkqu8Qs5P93SP1DOnxyF02e5p9XfO6TPdp8853aI3TUbZfHPznxc++ta3v/Pd73188dL3f/DDH/348pWfPMnSxawfH/bTJJ0963WzOBlN4sP5aJ7Ez6azuDvuJfHT3usd/PzpSTzLRumkPX83jZ+Pu8PJ6HjU786h6ejylQ7RWM7iwVnU6SZHW0eXNzZvbNK/aL1yU1c2lP7XTK9Eh6qjBipVfbVQYxWriZpDPVFdlUH5Wt1Um2oKbc/VEtpmUBvR57E6U5cAu4BeMfToQutr+D2Ep6916wSekWZG6D5wSeBnBshIXQVMCv1mUEduEX2+IMrYWkZ7STRRtnfwt6dpjaF1rl5Cq4QzPUNxOJa5Ola/pzGMYExTasHR9TWVBWkFJY+cUc2BwhTasD6Az2dQ7xPS6DkiTEZjR9126fN/UU9sxee+7rtQ/yYpr0KJVEuPPs0pdNUJ0Y/obS7gM5YnAc5DoBDrMWLtlHQ9ptFPoP8S2h9AOaOa0UkPypJazyqRO1B8yB0RuQ/Fh9wXkQ0oPmRDRDah+JBNjUTsjHTux7eg+PAtkfMjKD7kIxH5GIoP+VhEPoHiQz4RkV9B8SG/EpF3oPiQd0TkPSg+5D0R2YbiQ7ZF5CEUH/JQRO5B8SH3NLJ8pc6gpERnJKzKbagXeaClSKBlW5TvNllHH/Z2wJrul2DlVb0Lf/3Y3QCdxiXYvYB5d1yClWfePthIP1a2RXdpN/Fh74rYA5gBfuyBiP1CvSrBfhGw0l6XYOW11oB+fqxsfe/Dkx97X8Q+gJofK+9RD6HFj30YsGNMS7BNEftIvSnBhlj9WQlWtvstsCt+rLxPtaG/HxtiTRclWNmePgEPxo+Vd6un0OrHPhWxz9TbEuwzEfslWHc/9suAHfZ9CdbssZdoBxmSPxLDiq2i1s1XJdamQK0r8E/yvSUh37gH7RJmmGOGhBmLiP0csR+IaOSIRrBcWW5HM/J3ZS6tHNEKRPTyvQlrc7H/IO+PtSQAsZsjdlcQVR4pvmszlhPyLkyLhJznOxfWQsaU5vYba7GeD9WW1yAeFhA8t1/SzL9O0RJGUKipKmov8z2ekRE9VyFOKXozozQ8ZNw8twou6q2I6nlQPRH1zoN6J6IWHtRCRJ14UCciyq58F9cJmAFW//gulvTEM4B95PISgVewDbvOXVijEcyfJniBj6nlIfxtUewtlSrJMJrHfRKzHM8LlngGtaXagHYbFe5SfJ3QCotBMu75UMf4+IS5jaVec2yFz/KdPMozJuF0RiTPMKeD3mJE66kenXvUckbeHdfq4e/m697U6uH3SONn5MVzrR5+rqWfn0P2tsa2z4FtwWqaau3bel0anH9hGqZ+iXZdtLj4Vsd6ziC9tzXpH+g3c3CO97JDNdaPrdejkTnjywrjq0PD6jlz9FyPCnpP7PWaWlR7JBMd99p6XRlS2kUnWg77VPfNYJ+BfjOmXo9GEzyuHYq5l0697uyd5qOx9Xo0nijOe56RJ2/q9WgM6Zn1Yev1aGC2pavjfFuva9lRAxw723pdqz6hLDDmgHjOc4v1imbkJy00tRH5B9XZGtfnX9/HMGfzIo8RqilZ37acTi/fy6olMv5CDFZtXlMO9C8Wjg9WpLFUW2J8xTLMC/v7Oh27x6PmG6DFCFY/nwFIOfMEJDQ5CbTeCVC8KUZdxZEZ3JaIw1lyvILq6Na56C1avpw1KrYdUasUl9nRWj12yF5nNPem5BM2SLOSHhqlb7iMoqShRkFDMr06unuv12tR+5sibrqCmOYzrU8nQnySVh2n+rTecnR8VZ/yzKHwmY+dv5htPtbWBmOelGwRylLF0+1n8khuG+6r15XNcfNnEb1RtFcnZDVGdCKViVGoyRazN76kZ0v7kM7kkAfT6MN7jDSVqeJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj100EMPun6MswM7xgOotSFmOISndkCUcynXVUoan6lf56ejKb3B6og+KVhIQ4PtTVywkFVR9ssClVNA42zgKD2cxiodg++sUZKjfp88NnYtWv6rdHJrzre7NMfLZ3N5JmZAXLeIa0Srhk91+WmVA0uw9H6yRf5r9SiRXx2OaEMlri8czqyXCZ34xxTBTskzTmi1Sauj2NvNT61+Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8DZytw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlG/D+l3+bHzJONtRmBGsY3kGlb53sfKcUsqKMu7fLVNsj0daX8JJfhhZba7n9Wpk8Kku1SxIXy4G49AM59emZeOEtmJHe21of30apsLlKerugRR3tMUTzb/aHegVHu67RLbtCa69AsGcIsmOdRhOkrZZFX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCs5vn7mlaTX+uzlV7VfCY0F8fOWv4GWn8Ov43c5jmMTq9gFW7THGAK9slqhFuitR5hvG4XeJmZaWjZZ8vPzknTy205T3zN1s3G2Ce1qTRp1rzVWQtTPw+NVw6NV4E6bNNZo9WiaTeW6EiMLdr6tDKUXx1u7RqUFyJl2SMzqFGAlG4sFUZ1IFKVY3yDei/S2hRpdWG1uqcB7poPQfrX+urq/ibf3SN1h3ybPnlgHL8MaJWOyOcyrdWRGlNAzre0fXVXf4dakHuPLChS5nucuGL41KlP5SyX9Jd6Z0vJzluLYO4tneo+xsZ2qP7bNeSY1kRG69IgblGPWMvvyhGtWKQbjs8RUea/Sz4V+x3VMbPb276TqOBP2HiTV5XlxZHChPQvZd4O1qLXAyd+jSgmXGjvuge06r9hpMAYk0nwe5YZvSHc5fgkgT3aHtnPdTvFp3gTR6IbJPVS/THAxnDUa+e6O7fMiM3YfgU9Uev2rft6yPySYI4Sv/Oc6HVpVxtrH3W58nw+Wl29yxWfq/SwWOFr9bGgPm5kYaO8IqajPgvmwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25iXFS9I9UET4vLtrXm/uU2EcvTV6PcK61LhFooTZuFTnB1xLi1mpi2v7ELderNyNEmcnKtspDHV3t7D2my1kTNYvUVLOhnu7sncKUYqchWEKfcU3esviQ5fmZ1Dwd6R80aHhGJI7bIF/u6121N4HuA3xRtc5oxlRC9qCwUrs3dXjLPao1tEbh7pLP4RDOI8R6FqSfkQ7aV3ZmbIsuUs9nP4pWYGZikXpbc/6Y3C5yCNZ51RnPCOybPJoRsp8F6fuWAyHkJEUuYTz4XMNaRTHynynqd4YDHV5BEUOdXiYewxh79z2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYrtF2KhZs4b+fAc0DocV1A3u8X/Og7Dx3KqzyuUW0bfNXsV8Na5X6wzsugP118zllvIbC7nGM4zzUdnvSU/P/b7olpvKnVG8+Hpoz9q54DhtVScB5WlY7w7i6y8oVTwXMAnQ6r+o/5xQf42wpucRpkcdSiZc4pyaqaHTM1849I3OvNZiEyWTplMRWo2jmjRjdgddaDuwM9O7gHWvR3K36Xkv4j1f392AK3HZD1MFp0zBx1qiyn7YU/RBvRs78+WSYx3eflubxta8Cy8Qa14z/cB9ce7vu3C2Mq/QcJr/b5K1aAQkaye7tl11YMRFE/eOAdkvucb0V16zmLxzbNxwNmiuT+1KtGSPpFvFvRK8T1Hyj7N1ak+q8eTA7xh383zQ5H6DbV1tZ3HPVfi3Czl3FzhnJF2ihzeOp9V380q47LjcBnkubMT3S+lONue51XnRndLufAd9Gr8sAI/dKRskfZfUyQ8U9XZvEUFzYWWyT1hnSiTiWQ9YJzZzd93dWR7UsHrJGD890rR9xxJ90GWHuW/IzphmxG9ROtmj6Tnm47VmdS7FdLq71EeXd64ufp/GaxXDrdu/OHGzUe3Nj6/rf+bg4/Vz9Qv1DVY4r9TnwOxpjoEBqfqr+pv6u/bh9vL7T9t/5m7fnRBY36qCv+2//JfOo2nUQ==</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> Barycenters of measures (↵s)s: <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">AABESXictVxfcxu3EYeT/ondf0772JdLZXecjutKSmbaaaYzsShZVkzbsknJTkJbcySPNO0jj74j6T8Mp5+jnyav7fQT9Bu0T52+dfrU3QVwwJG4W5zqGiMJB+K3u9gDFrsL0N1pPMpm29t/u/De+9/57ve+/8HFSz/44Y9+/JPLH/70NEvmaS866SVxkj7uhlkUjybRyWw0i6PH0zQKx904etR90cDPHy2iNBslk/bszTR6Mg6Hk9Fg1Atn0HR2+ZO9MH3TiyYz6BMkg2Achdk8jbLgyrJD1Jdp1F9d64TxWfbx2TJbra78/uzy1vaNbfoXbFZ2VGVLqH/HyYcf/VF0RF8koifmYiwiMREzqMciFBmUr8WO2BZTaHsiltCWQm1En0diJS4Bdg69IugRQusL+D2Ep69V6wSekWZG6B5wieEnBWQgrgImgX4p1JFbQJ/PiTK2ltFeEk2U7Q387SpaY2idiWfQyuF0T18cjmUmBuJ3NIYRjGlKLTi6nqIyJ62g5IE1qhlQmEIb1vvweQr1HiG1ngPCZDR21G1In/+demIrPvdU37n4B0l5FUogWmr0SU4hFAuiH9DbnMNnUp4YOA+BQqTGiLVXpOsxjX4C/ZfQfg/KimpaJ10oS2pdVSIbUFzIBos8hOJCHrLIJhQXsskij6G4kMcKidiUdO7Gt6C48C2W8wMoLuQDFvkQigv5kEWeQnEhT1nkV1BcyK9Y5C0oLuQtFnkHigt5h0W2obiQbRZ5AsWFPGGRB1BcyAOFLF+pKZSE6IyYVXkT6kUeaCliaLnJyrdH1tGF3fNY070SLL+q9+GvG7vvodOoBHvgMe8GJVh+5h2CjXRjeVt0m3YTF/Y2iz2CGeDGHrHYL8TzEuwXHivtRQmWX2tN6OfG8tb3Ljy5sXdZ7D2oubH8HnUfWtzY+x47xrQEe8xiH4iXJVgfq5+WYHm73wK74sby+1Qb+ruxPtZ0XoLl7ekpeDBuLL9bPYJWN/YRi30sXpdgH7PYL8G6u7Ffeuywb0uweo+9RDvIkPyRCFZsFbUwX5VYmwK1kOEf53tLTL5xF9o5zDDHDAkzZhGHOeLQE9HMEU1vubLcjmbk7/JcWjmi5Yno5nsT1mZs/37eH2uxB2I/R+yvIao8UnzXeiwL8i50C4ec5TsX1nzGlOT2G2uRmg/Vllcj7hcQcm4/o5l/naIljKBQU1XUnuV7vEQG9FyFeEXRmx6l5sHjZrlVsFGvWVTXgeqyqDcO1BsWNXeg5ixq4UAtWJRZ+Tau4zEDjP7xXSzpSc4A6SOXlwC8gpuw69yGNRrA/DkGL/AhtdyHvy2KvblSJRlG87hPYpbjScESp1Bbii1oN1HhPsXXMa2wCCSTPe+rGB+fMLexVGtOWuFVvpMHecbEn86I5BnmdNBbDGg91aNzh1pW5N3JWj387Xzd61o9/AFpfEVevKzVw8+U9LNzyN5W2PY5sC1YTVOlfVOvS0PmXyQNXb9Euy5aXHyrYzVnkN7rmvSP1Js5Osd7aVBN6sfU69HIrPFlhfHVoWH0nFl6rkcFvSfp9epaUHskExX3mnpdGRLaRSdKDvNU981gn756M7pej8YxeFwNirmXVr3u7J3mozH1ejROhcx7rsiT1/V6NIb0LPVh6vVoYLYlVHG+qde17KgBGTubel2rPqEsMOaA5JyXLcYrSslPmitqI/IPqrM1ts+/uY9hzuZpHiNUUzK+bTmdbr6XVUuk/YUIrNqsphzoX8wtH6xIYyl22fhKyjAr7O+bdMwej5pvghYDWP3yDIDLmccgoc5JoPWOgeIOG3UVR6ZxuywOZ8lgDdVRrTPWWzR8Zdao2HZGrVxcZkZr9Nghe53R3JuST9gkzXJ6aJa+4TKKnIaaBQ3x9Oro7q1ar0Xtb7O46Rpims+0Hp0IyZO06jjVpfWWpeOr6pRnBkWe+Zj5i9nmgbI2GPMkZItQliqedj+dR7LbcF+9LkyOW34W0BtFe7UgqzGiE6mMjUJ1tlh640t6NrRP6EwOeUgaPXiPgaIyFfLUDLPomE8PyKLa9pbjjfrSGTpZz8jqantcjR5a6KEDXT/GacCOcQ9qbYgZTuCp7RHlXMp1lZDGU/Hr/HQ0oTdYHdHHBQupaUh7ExUsZFWU/axA5RWgcTbIKN2fxjodje9sUOKjfpc8JnYtWv6rdHKrz7dDmuPls7k8E9MnrrvENaBVI0915dM6BynB0vnJLvmv1aNEfnU4og3luD61OEu9TOjEP6IIdkqecUyrjVsdxd52fmr9E83pWOizczzNTshCBmT/AtifEpqTAf3Ydwf0Cbq0CDHZSB+7M8q9G5evM2LnmPHjRkLeajDzLSJbNif+mq69ujKaizJikPvAam1ua500yReMiGuqrLtZ29W7DyLNPQl7lkiKZq5cI/4f02/9o+fJ1saMQA3jG8iUrXO9j4RiFtRRSLt8tQ3SfW0pr+QyPFVSm/3PyHSlINk+RVwoD+7WfeDco2fJC2dJSnJnG33kPlqVzUXK0zU94mgHFMVLuz9UOzDKfZ12yS1acx2aJUOYBbM8itB9uSzyOt9qXkXqfrSz/wt1o+ui1pBiIEwGV2qIy+9HFK3ZUsYwq+X8fUGrya31dK1XNZ8JzcWxtZa/gdaP4LeWWz/70ekWrMIezQFJwTwZjciWYKOHH6+9Ai89MzUt82z4mTmpe9kt54mvpXUzMfaiNpVjmjWvVdZC189D47lF47mnDtt01mi0qNu1JTpjY4u2Oq305VeHW7sG5TlLmffINGrkIaUdS/lR7bNU+Rhfo96ytLZZWiGsVvs0wF7zPkj3Wl9f3d/ku3sgbpFv0yMPTMYvfVqlI/K5dGt1pCYpIOdPlX21V3+HWpB7lywoUpb3OHHFyFOnHpVVLukv1c6WkJ03FkHfW3ql+mgb26H6JxvIMa2JjNalRnxKPSIlvy1HsGaRblg+R0CZ/5B8Kul3VMfMdm/zToKCP2HiTbmqDC8ZKUxI/1zm7Wgjej2y4teAYsK58q67QKv+G0YKEqMzCW7PMqM3hLucPEmQHm2X7OemnZKneBNLohsk9VL8wcPGyKjXzHV7bukR67H9Cnqi1s1bd/Xg+cXeHDl+5znRC2lXGysfdbn2fD5aodrlis9Vepiv8TX6mFMfO7IwUV4R0xGfeXOREtXjIjE+XOqNoo789SSvI7M8nfKlrHtrysVMg7Qxzyhe4u6BIsLl3V1zenMfM+PobtDrEtamJls4SpiNS1R+wLa0mJW6uLEPydaLlbtRbO1EZTuFpm7vFsZ+SwsZkfWLBZezkb1t2TuFKIXPwkgKPSFv9JbFhzbNz6Dg70C4okPN0Sd32AL/9qZoiIN3cBviparLjGZALWgL+muxd6jGWexRraOXFnWbvg8Hfx4j0DUn/Yh20rqyS8q85DZ1f/qvyAqkImKlNz3rj8Hmwo9kk1Od8YzIsvGjGQn9XZy6Y9EcfEZS5OLPR55rcKMYCP2dpnpj0NT5ERQ51OGh7zH4vXPTuz4vm1O1vja5+PKQu4A+cdE4PPkrj1VMPx8LlVpv5N1zQOswqKCud4v/dRyaj+FUn5cvt4y+a/bc463LfpHKyKI/XH/NGG4+s7mcoz/PJB+d8Zbc/KTfF9R6U4k1mndPH/1RMwc0r6WQeVBeOom3Z5GR15cKngu4ZEjEP8W3F/hvI7zMaZTJUYeSPqcop6Z78NT0Ny5do9Of+chk6JTJVKRm4ogW3YhtiCNxC34auQdY93ao/C6l/ItY9/dn+9A6IOuhs+gyc9ChtoiyH+YUrU/P5v5smcR4l1fe7W1DC56FN6kV7/neo/5417ddGFv5N0jkWr8rEtEvRCTrp3tmXXVhBMWTN5kD0t/zDeguvcxiyZtnY4+zRX1/al2iJX3C3yzoluK7lpQ9mqtTdVaPJwd4wz7M80OB+A21hcrO457LcT4u5Xy8xjkj7RQ5vLY+q76bVcalYXHp57mzheqXUJxtzvOqc6P7pVzkHfRq/LACP7SkbJH2X1AknIrqbN68guZcyWSfsE6EzkRKPWCcGebvuzqyXVTwWniM/04p+o4l6SHI0qX8d0AnbCnRi5VuDkh6edOxOpN6u0Ja/T1KSdPcdTTzQN9arM7Sx2reycyF/t8IlrQecDfVNxO57ElUQqdLNwIjoiTvSHLnBrw8vDQ+snBU5qwkc49v7y48ZFl40Bkw0gxYCkNWErWCzy5v7az//xibldPdGzvbN3Ye7G59vqf+74wPxM/FL8Q12Dd+Kz6HGXosToDTn8S34s/iL42/Nv7V+HfjP7LrexcU5mei8G///f8CmmYumg==</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> ? 2 argmin P s sWp p (↵s, ) <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">AAB3A3ic7V1LcxxHci6uvfYKtne19tGXtkF5QS5JA5BsObSh8IIgSEKCSIgASEocEp5HAxhqXpqeAQHNjm7+NXtz+OJw+If45PP+BN+cj8qu6u7qqmpQCtuhZQeBftSXmZWVlVVZL3Qmg342W1//z2s/+oM//PEf/fFP3ln5kz/9s5/+7N2f//nTbDyfdtOj7ngwnj7vtLN00B+lR7P+bJA+n0zT9rAzSJ91vtrG78/O02nWH48OZ5eT9OWwfTrqn/S77Rm8On738vqiRVQWncE8XbY66atWNmtPl0mrP0pa8/b0dNgfLcqJlvA9mw+Ps6Q1aOPPWXoxWzxbHk9eTdYk8TTtLVvtwXG2vFXB37h+/O7q+p11+pdUbzb0zarS//bHP//o31RL9dRYddVcDVWqRmoG9wPVVhlcL9SGWlcTePdSLeDdFO769D1VS7UC2DmkSiFFG95+BT9P4emFfjuCZ6SZEboLXAbwfwrIRL0HmDGkm8I9ckvo+5wo49sVuN5rcCVqVz1S22pPHal7akcdEA//tUK4beA7UZfAsw/Sn0EOE7UG0tyA35uQ+3X1Idw9ABk7lCYFGRO1D78Rk5KkTOkztaUO1UPivQb3n8HdjVotLUg7GfxvA88zjz4l5QlIiuWTkQZDqTOQbwgyh+ki9yGlw1zEynAL0hY5mTddsKllrpk6ipJztK+huvBKegq6bsPbM7I/f9oM3ndAUizPOZWRXwdTon3pTTWj8p+TrU6B/y2yb64zU8pHmmuwD196ui4lgEqBBr4b0c9TeDcG6RLiMSUOkrfMI4FNFfM2pZJbah3vwvuMZJlRKSTwxBRSej4hCbG2pZSS9SIlgDKjRCN4lxKXnkeSC4s2869Padd6qSeCZm1wnqckV6reEGJIkmF+F/CtQ94I612f0mC+MT16Kqw3C/BSIgfTwDylxBXzuMgtfAH10/6y9GAmcIeeAVH7+n4MvPvkA7EW+NCowxNKswB/lFKJjSKxXa2vBfmmKWmQ7e7SixvoPC3AC6Zah7700zz9E20LUyg7HyKFEh1qnezAfZueTGvgQt2kOpaR11qAT2yTJhL9bk4UbK3UW9MJWVJbW33LekaLuCQ5FmAtY5As1R5IZDJpF2RHGfFE+0OpHtJPTNGv0JZWzIU7JK8g+Q+3WAlo7ZF6CrX1iXoMdzugD3xzGNleSW6wrpyTD0CtSbu9IJ+w1HVGvI6Rm79MdSv7Alq2O+rvqUxfUh26o96nJ0yH3zbUP+jnb+ndCrUOM6oJXD4fUzpG4bc+eZlhzdcBaQvrsfmOqfEb+8Li+xWNYuk5he0FPwYJBS+ci99tOhl5DJT+DaTqkZUuClKZ95jb23B9Sy1ti/R1Qq0UysB6/bgGuwIY1nSqPZjRv7SJMeXI7Ze/NK/Ttzn5B8zd9R9kSbWI4gX8xFbffs7oeQ1wN0j73095hktzFihHsbUfWsl9f3UsXCbY2mB889JbMr4y+bu3KBP+XlcuF1fU55pahRyhrceU6UpjvWP6Ntz3SKYB0Tu1pKpSQqk2HTpYRvnJlWCrylHXNrWnvjbUWES1f4lRQp98qLGI34Jdoi6/Vf+u49UE8sa91C5ZoL/P6qL5T3AhzV/AtVTvEM0jkNrkMoEnjqVYuxn1k87hrgt3PYqQub+RkLZOdX/Yl7tHcLGepbffgWtBb5de5DZcLuR2EPkALhfyQRC5B5cLuRdE7sPlQu5bPsFXYgdwufAHQc6fw+VCfh5EPoHLhXwSRD6Fy4V8GkR+CZcL+WUQeR8uF/J+EPkpXC7kp0HkIVwu5GEQeQSXC3kURO7A5ULuaGR9TZ3qdqZHnszHY4tiM5tHF34P4M1WUL67NKrjwt6NqNPdGmy4Vt+jmMqFvReh07QGuxNhdyc12LDlPcj70GVs2Bc9zPuXZezDIHaXIkkXdjeI/US9rsF+ElHTvqrBhuvaHrVWLmzY+36mRxKq2M+C2Ee6n1DFhtuox/DGjX0c0WJMarD7Qezn6usabIzXn9Zgw37/II/wy9hwO3WYxyFlbIw3nddgw/70KfRg3Nhwa/UM3rqxz4LY53oso4p9HsR+QWNtLuwXES3sNzVYaWN5HPSU+iMp1FgftXZeK/EOR4nbAf6DvG3BO2yjekHMaY45JUx57NDlWQXxIBKxlyP2ouXKcj+aUX83zOUgRxxEIjp529SheCuUvpen71FEE0bcyxH3Sghfj5RnOxh3Tr0LeRNC2iMjZ1F5Guf+G+9SbQ9+zyuIxwUE2/YZWT7OCM0oDkJN+aid5W08IxN69iFwnPkkz6XwCONmuVewURdBVMeB6gRRlw7UZRA1d6DmQdS5A3UeRJmab+NaERZg9P+GxlROcu8WHgsvzpY+hhZ3B1o/fPMYfseMhvtjehx7wJbSjPCIL54qnMlYpTkjiQvvUYTNcywpzVFgysdQ32R2D2czFrrWsR9e5m15omT+I55On+Q5zelgfzFRw8Z0PqU3S+rfpXqWrQn+YV7z5a4Zfoc0zvNBo3zOJR4/09LPriD7ocYeXgF7APVporVv7pvS4BEYpiH3K6qlR+OxVIfaZpDeRUP6u7pkdq9QLjxzaM8iNtdRZuUvK+SvCQ2j58zSczMq2H/ifq/cJY1zMtKRr7lvKsOY2tGRlsM8NS0ZTNPTJSP3zWjsQ59rm6LuhXXf1HoneW7MfTMaTyklRxXmvhkNXv3A+jD3zWjgeEtbR/rmvqlnRw1w9Gzum3p1HF9PlVk5wG9Mv2hKPSVZR9KnHoJ/vMbu9VfbMRy1eZVHCX5KpndbT6ej0iAdE5HIPFszObCHMde9sG1A4QxBeNyqTf1mu0Uvc7dbddT1HujNXgfjH5EbgEwyDpHSyP0rva7Eh7HzYnCbQRzaxUkJ1dJvZ8EeouHLI0XFd8f0NhSLmdwaPbbIQ2dkbRPqB+6RZkN62CvpIUwxpKG9gobC9Jro7htdQ4vaXw/iJiXEJLe0Ls0w8rpIf2zq0vqBpeP39MwOzvrxPE/dOq4T8jptksXH004nY0f2O2xJbykzrs3fEipR9FDn5Cf6NAsVXqslI8Tc/17Qs6F9RLN/xZm0RFOR1XA4co5j6An5UNvDhnijvmRUju8z8rPigUMzdgZ96kA3jWm2aYXPATw/gXxvR63xMfOAY9L3VN3OV1eOqfz8Mbw929jKaci6Ods/+uLqswIVnv1NdVweT6NMR/CtCqVwnO+Sx0SrRb//Xr6yckY9gYHXluvHXnrEdZO4JlRnplQPF9acveHAEiycXzapv+rPJfJrwhE9aIjrK4sz62VEq2dTilgn1BMeUF0L1Y1iantEqvxFOO0rWd2N89dj8o8Jeb8EWqcx2WRC/+114DyPJv5gQB4yxuv0896Mq2/TD9qY6bf1Fa+9NPbmWi9r1y5eo8ERArcCy5Jti072qO/Hqx2m2rebuu1ve1JaKSsrum0rYYrGVtaI/w36Kf/FTlYrFoEa5nWt7Olc5TGmGAV11KY23u+DJK0t5fVchldaatP6GZmuFyS7RxFWotfh9oBzV/HaZuSFVjIlubNKGlnHXt9GIeVJSY+yeqWlvf6pbn9R7lvURq5SnWsps1NAogZJGxo3LvP18ypSj6OdfS/Uja6LWkOKiTJjtqyh0Ih+StGZLeWA9lbwat9UU6pqfVpK5eczIlscWnX5N/D2r+CnyC3PcXQ6Ba9wl2yAKZgnoxF+k1RSxPG6W+Allim0zLPhZ2xSUtlvrhJPs3czMfV5Yyq8av5Cj1LI/VVovLZovI7U4SHNLhotynvxRMfByOJQz0/G8mvC7bAB5XmQcrhHJqh+hJR2JBVHtRekGo7wBfVNkNZ6kBauNbRH/+06H4N01/Vy7f5NoXW/T72brpK9DNzrLO/78EdqTAF5f6A9rF3/W/QG+durVe39Szgu2SUKIuvf6LZtTJ7e+ARZq/RGpxEv26L79yvIIdWKjGqmID6gFLJ605YjKfmkO1avI6Gx/jb1qrjn4Y+Z7dSmVJJCj8LEm1yvDK+B+oWOF0ZUBjP1Oy+33UoEu2vFsIniec5BHmNgKf+uUSljZMmWIaMJ7v5lRqWEbR3PH3C/lne3VL0Vz96NQPtid3cUr6/9OMLTcOTrXg2N3+Y6bsK83YSUqHlT8q4UYX6DaI4hfleZx+MVysN8jXLx+Wq02rqtKz43o7VVkmvrLeTaKsm1VZGrrnzmJX2YcppTGjvuMTFoEdNSv4rmwhI148KYGC5bV8jLVuO8bF0hL1uN89IsF03kbyZ5E5l53i+WsqQWysUxHfbjZxSZhtbYIsLVj15z9ptvBPLRqdDrENamxm9ClHDUc6xHYuwWDcf/3qm09/z2HW+rP7Ba/LoWWajbrbJpJ7kVSqmF4bjf77+LqysSLatIEB7vYgpdxaul6yJxm+av4MKfiXLF4cIxZpT2ACIJ3DMSd0qAf53J1/qeR44TeoN+rVca5WjrfBZT+HX0tUXdph/DIZ4H7vwOSd+n3kpT2ZlyWHKbejz9N+QFpioNSm9SNs+DzSWckyqnJvnpk2cL56avRzqb50U4xOSkyCWeD88fhXJxouQkkGZ5EOrhHBQ5NOEhK0Tiytykbs7L5uTXV5VLLA9uBWRmS3A4w1ofE5p0MR5qapXId88BvcOJh7q0Fm+bD+FjODXnFcuNTyh5HVHqnC7VY9/Yt29eZwy3GGuu5xjPc5znzvSW3Py435c0KqmxlZvvnj72R40NCK+F4hHnsHSMt63IyBtLBWdgXDKM1X9HycD4OhliqchMUD0lSRGmJrtYXbmSbzEyGTp1MhWp2buIEzrnJNP114zUZfrrDs02yszjRyqhGSmeecyUrHDm+vMl1QJMYe82L++IFiTXKnuvdiwG+xPia+JRQ8Wnr1TRHG9dBb1QH6hJcNZFKJkePfafk9JVv7O9XmP1Y2Wr+eiyj4+dm5Ce63nhfOqxxdPNtQ7L41h4ztNXwA1Xp/E5AqxXHn0/V3JCS4vmufCkgk1KIbP8PAb4An6/hJ8u/XJJvdRpeBT1jCj69OuiFLri9eTWleud6004qruvdtUDdQR1fEe9bVTH49IzJav0U2WfeMWlZN4s1PuED/mvCekolua6RdNHdQjxffGssxcgD5b6ilVK9thBOfUZ2Qr7QElfL2sd1a7isRnZhVAuQ47jm18oFY8h8bg794NxtSbvVCmeDJcV5JORkLJsdk6LWr8NdYf17qrXXeIk7YY9o9dXM8vaqzkoIm0ZzckYC5p5KaMNDZOyXFb11urSRvlkvKYWZtutzFQ1tbUfiqX9f7ezOvlXHfJ/lxbGkVUzX3azxsJ+bzv/27bzNh7q5ltZ0FV91e9t6f+qLV3VD9l25F+F0acS5hO9XPtNstIpcx19ypycvRXqBxY5yJr31IqZWtZbmfE3M2RFfDEW8a1xvRo/E101PZM5pg/OOw7krE1zJu5Qz0Bx/NalcQax5wXFczOqHXwGb0fJLtgPlZyNXI+cVFAfFKLjMqZD3Gak0TLy/bw/WTyPFNdF4wiCvXtDRg8TvRMLT6dDS00KyDs5PbGvEN0yNT69W0bvJiUN8+4Oc4JwUshfMa2steXoMcklMjLKyumLXLrEk29eFyVSCfUifz4buU0pkfrtnL4tm5GgRzOWdbpKyKp92jQ7XjYVrz0fUBnzDpS5wlW1cwfHek5vz6FNOuFxLNuPyrhBWcMmfdXzMkX2o2PyDDEUTfoqxbpRpHK+sX5sau+c1KLc2rSx9RzrynRpxc8hzjE0RItuOqHSQkobUZRCpVSk5PLGiS5HlKVPtbxLVsnr9mbUZ8i0n+UVQ6jd8Dnqy9p0Lwo+kc/6H5EecTVER+e5jkc5Zf0+D95fMSOUuTd78KSO3VPHtHI30aNRONZ74cnlkEbbZqqv53FEs/vqvnqg/hZo9SH1N95czHQawSaV9Vj+9RSH+Wl+9grh8OlIW+pJfkZj3TpCuedeyhN9zpuf7m6AapXubk7XTzkkr09iP+X76hH1G5pog6U+jlhR/IDOXvNRxpPmjilVq3JCfj3deyDD/UrZy9vQiiRZK8UnQYs09mmA12kHIZ+7gHY4ayRdh97FcTEpr8LpQI/cuvZvmW8hXT7WuuzpU4B8qS/0qsjQWsgLygWnfKVkXe40SD9Tsh9T+tgXtDdbetQmXghTKe4ZMjspOQ82Tem3h+he5PL5bJrT8JlnC1U+T8xl6TE85Uwk1keRalnDMdT2CvTYbnltdlnieOpM+yDPuaFdpLiWc1tQvuLK80BNLLprgLwRaU/i38o2EMOV9xXZz2uWri7ptK463YXlk78ZNKbTE4211tkWnr7oqg1NvIbhuazIsMjtrGy1cRTvOmna+lp6bS28mrReZmmPfBSOoK3hE4+PItouTmnaKTxLtFgbwn0NobJFey5eOGi8DFK5m1NBC+hrSkU6LyNyz33T4r4j955s/27VTn7WKp5+ekwlcKtxaR4o+VsN5gm/++j5KfLKbe7TSp3vWbt8N3SExPGN2SWF+z9u07vncLGVHuu94In6ZUUSGz2nnscrdVMluU/xlwGfCSUtqf1uzaKE/asbUfZlW9cnkdZkbMmfdjtP+1jFnXCICMHYpw0UKcRLuw+9Ojc9lj6e0pGmE6r5+zm/Yo9qQtw+CaC/UHVnzX6hls7WUCyGx4vkLwDZf51nQgizm4V5F9PjXwzCN0Ow5BHFv3PV7K83IQVeyYOoHbrr61U/7BvG1HvGCE3OhDB/f4h3n2NNw1Er/9403HU+Vq5R4vLfIuFxH96bg1LyPrMXkKcx7XX/SHuslxHeYUQUyqfj2Bw6NMbEKwuw73xf/WOQ6mvSTbu0Mysk/yc5KinlIbQHAr017zUI8bNz8wLqpY2tcpXTnzbAfvbA7zXbNdXTepUYIrxj9bQgv/HF5hSIY+2tOhElW3eedczfazjI63v17Je6E6PXABPqtR5U/IhNI4bCXJXPj+b6MQ/mSk4xLCPDqw57qnwGO5dLL8I6B9SvG5TqQlGCu5T3dd2LxZK+lUd0PurP6fxp9s9nwXbruZUe746hFXHveS1+jxk9kGiAo/aylfrQlzp2XKP+jStW8GPPNbpZ/BGOq+RveJRjQVdb5Y7d/HYxUrI/uHySs2+nk8wW4RjGyvG7qxvlv8lavXm6eWdj/c7G55urv76r/17rT9Rfqr8GqTfUh+rX6iFYzxHw+69rP77202s/O//n89+e/8v5v3LSH13TmL9QhX/n//E/5vlXgw==</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> ↵1 <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> ↵3 <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">AABB03ictVzNchu5EYY3f2vnz06OuUyidcqbchxJ66qkaitVK0uyrDVtyyYle3dpq/gzomkPOTSHlGxzdUnlmkfINXmMPEfeIDnlFdI/wABDYqYximOUJAyIr7vRAzS6G6C7k2SYzdbX/3npo+9893vf/8HHl6/88Ec//slPr1772VGWzqe9+LCXJun0WbeTxclwHB/OhrMkfjaZxp1RN4mfdl9v4+dPT+NpNkzHrdm7Sfx81BmMhyfDXmcGTcdXr7WJxmIa98+jdic5/uz46tr6rXX6F61WNnRlTel/B+m16FC1VV+lqqfmaqRiNVYzqCeqozIo36gNta4m0PZcLaBtCrUhfR6rc3UFsHPoFUOPDrS+ht8DePpGt47hGWlmhO4BlwR+poCM1HXApNBvCnXkFtHnc6KMrWW0F0QTZXsHf7ua1ghaZ+oltEo40zMUh2OZqRP1BxrDEMY0oRYcXU9TmZNWUPLIGdUMKEygDet9+HwK9R4hjZ4jwmQ0dtRthz7/F/XEVnzu6b5z9W+S8jqUSDX16NOcQkedEv2I3uYcPmN5EuA8AAqxHiPWzkjXIxr9GPovoP0hlHOqGZ10oSyo9bwSuQ3Fh9wWkXtQfMg9EdmA4kM2ROQBFB/yQCMROyWd+/FNKD58U+T8GIoP+VhEPoHiQz4RkUdQfMgjEfk1FB/yaxF5F4oPeVdE3ofiQ94XkS0oPmRLRB5C8SEPReQuFB9yVyPLV+oUSkp0hsKq3IJ6kQdaigRatkT57pB19GHvBKzpXglWXtU78NeP3QnQaVyC3Q2YdyclWHnm7YGN9GNlW3SPdhMf9p6I3YcZ4Mfui9gv1asS7JcBK+11CVZeaw3o58fK1vcBPPmxD0TsQ6j5sfIe9Qha/NhHATvGpAR7IGIfqzcl2BCrPy3Byna/CXbFj5X3qRb092NDrOm8BCvb0yPwYPxYebd6Cq1+7FMR+0y9LcE+E7FfgXX3Y78K2GHfl2DNHnuFdpAB+SMxrNgqap18VWJtAtQ6Av8k31sS8o270C5hBjlmQJiRiNjLEXuBiEaOaATLleV2NCN/V+bSzBHNQEQ335uwNhP79/P+WEsCEDs5YmcJUeWR4rs2Yzkl78K0SMhZvnNhLWRMaW6/sRbr+VBteQ3iUQHBc/slzfybFC1hBIWaqqL2Mt/jGRnRcxXijKI3M0rDQ8bNcqvgot6KqK4H1RVR7zyodyJq7kHNRdSpB3UqouzKd3HtgBlg9Y/vYkFPPAPYRy4vEXgFW7Dr3IM1GsH8OQAv8Am1PIK/TYq9pVIlGUbzuE9iluN5wRJPobZQa9Buo8Idiq8TWmExSMY9H+kYH58wt7HQa46t8Hm+k0d5xiSczpDkGeR00FuMaD3Vo3OfWs7Ju+NaPfy9fN2bWj38Lmn8nLx4rtXDz7T0swvI3tLY1gWwTVhNE619W69Lg/MvTMPUr9CuixYX3+pIzxmk97Ym/X39ZvYv8F62qcb6sfV6NDJnfFlhfHVoWD1njp7rUUHvib1eU4tqj2Ss415brytDSrvoWMthn+q+GezT12/G1OvROACPa5ti7oVTrzt7J/lobL0ejSPFec9z8uRNvR6NAT2zPmy9Hg3MtnR0nG/rdS07aoBjZ1uva9XHlAXGHBDPeW6xXtGU/KS5pjYk/6A6W+P6/Kv7GOZsXuQxQjUl69uW0+nme1m1RMZfiMGqzWrKgf7F3PHBijQWalOMr1iGWWF/X6Vj93jUfAO0GMHq5zMAKWeegIQmJ4HWOwGKG2LUVRyZwW2KOJwlJ0uotm6did6i5ctZo2LbMbVKcZkdrdVjm+x1RnNvQj5hgzQr6aFR+obLKEoaahQ0JNOro7v3er0Wtb8u4iZLiEk+03p0IsQnadVxqk/rTUfH1/UpzwwKn/nY+YvZ5hNtbTDmSckWoSxVPN1+Jo/ktuG+elPZHDd/FtEbRXt1SlZjSCdSmRiFmmwxe+MLera0D+lMDnkwjR68x0hTmSg+NcMsOubTI7Korr2VeKO+TIaO6xlZXWOPq9EDBz3woOvHONuwYzyEWgtihkN4agVEOVdyXaWk8an6bX46mtIbrI7ok4KFNDTY3sQFC1kVZb8sUDkDNM4GjtLDaSzTMfj2CiU56vfJY2PXouW/Tie35ny7Q3O8fDaXZ2L6xHWTuEa0avhUl5+WObAEC+8nm+S/Vo8S+dXhiDZU4vrC4cx6GdOJf0wR7IQ844RWm7Q6ir3d/NTyJ4bTgTJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8y9G5+vMxTnmPXjhopvNdj5FpMtmxN/Q9ddXRnNRY4YeB84X5rbRicN8gVj4jrV1t2u7erdB5H2noQ7S5iinSs3iP+n9Nv8mHmytjIjUMP4BjJt63zvI6WYBXXUoV2+2gaZvq6Un+QyvNBS2/3PyvRJQbIdirhQHtyt+8C5R8/MC2fJlOTOVvrwPlqVzUXKkyU94mhPKIpnuz/QOzDKfZN2yTVac22aJQOYBbM8ijB9pSzyMt9qXkXqYbSz/wt1q+ui1pBipGwGlzUk5fdjitZcKROY1Tx/X9Nq8mt9utSrms+Y5uLIWcvfQusv4beR2zyH0ekWrMIdmgNMwT5ZjXBLtNIjjNedAi8zMw0t+2z52TlperktF4mv2brZGPu0NpUDmjVvddbC1C9C45VD41WgDlt01mi1aNqNJToWY4uWPq0M5VeHW6sG5blIWfbIDGoYIKUbS4VR7YtU5RjfoN6LtNZFWh1Yre5pgLvmQ5D+tb68ur/Nd/dI3SXfpkceGMcvfVqlQ/K5TGt1pMYUkPNtbV/d1d+mFuTeJQuKlPkeJ64YPnXqUTnPJf213tlSsvPWIph7S2e6j7Gxbap/toIc0ZrIaF0axG3qEWv5XTmiJYt0y/E5Isr8d8inYr+jOmZ2e9t3EhX8CRtv8qqyvDhSGJP+pczb/kr0uu/ErxHFhHPtXXeBVv03jBQYYzIJfs8yozeEuxyfJLBH2yX7uWqn+BRv7Eh0i6ReqD8G2BiOeu1cd+eWGbEZ22+gJ2rdvnVfD5lfEsxR4neRE70O7Woj7aMulp4vRqujd7nic5Ue5kt8rT7m1MeNLGyUV8S01efBXFiielwYE8Kl3ijqyF9P8joy8+lUKGXT21AuZhrYxrykeEm6B4oIn3d3w+vNfSqMo7tCr0tYlxq3SJQwG5fq/IBraTErdXllH+LWy5W7UeLsRGU7haHu7hbWfrOFjMn6JUrK2XBvV/Z2IUqRszBMoaf4Rm9ZfOjS/BwK/o6ULzo0HENyh03wb7fUttr9ALch3ug6ZzQjakFb0F+KvTt6nMUe1Tp641B36YdwCOcxBF1L0g9pJ60rO1OWJXeph9M/IyswVbEove1ZfwwuF3kkq5zqjGdIlk0ezVCZ7+LUHYvhEDKSIpdwPnyuIY3iRJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXKJZQH7wLmxMXg8OSvPFax/UIs1NR5Ix+eA1qHkwrqZrf4X8dh+FhO9XmFcsvou2avAt4694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaD48ffRH7RwwvBaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/LsnfRniT0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhFNuhG7rfbVXfjZzj3AurdD+buU/Bex/u/P9qH1hKyHyaJz5qBNbTFlP+wpWp+e7f3ZMonxLi/f7W1BC56FN6gV7/k+pP5417dVGFv5N0h4rT9QqeoXIpLl0z27rrowguLJG+eAzPd8I7pLz1ksvnk2CjhbNPenliVa0CfyzYJuKb7rSNmjuTrRZ/V4coA37Dt5fihSv6O2jrbzuOdKnA9KOR8scc5IO0UOb53Pqu9mlXHZdrj089zZqe6XUpxtz/Oqc6M7pVz4Dno1flCBHzhSNkn7rykSnqrqbN68guZcy+SesI6VyUSyHjDO7OTvuzqyPa3gdRow/vul6PuOpHsgS5fy3xGdsE2JXqJ1s0vS803H6kzqvQpp9fcoj6+ubSz/XwarlaPNWxvrtzYe31774o7+fw4+Vr9Qv1I3YI3/Xn0B1A7UIXA4U39Vf1N/3zrcWmz9aevP3PWjSxrzc1X4t/WX/wIm9ad+</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> ? <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit>
  49. [Solomon et al, SIGGRAPH 2015] Extension: Wasserstein Barycenters Martial Agueh

    P s s = 1 <latexit sha1_base64="gp0r7NFFOnEdlcEkqhldMsRdXkA=">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</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="drqq0MIUCw86JX5P2WCf1T0ngFY=">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</latexit> <latexit sha1_base64="NrvueCyY/slmsn9VM3LdPoErJ0w=">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</latexit> Guillaume Carlier ↵2 <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> <latexit sha1_base64="70KW2R/z064lRPY5iuKzB5+V95U=">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</latexit> Barycenters of measures (↵s)s: <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> <latexit sha1_base64="Ri7+MO6CS1QKxb1zhcHdco9+sVM=">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</latexit> ? 2 argmin P s sWp p (↵s, ) <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">AAB3A3ic7V1LcxxHci6uvfYKtne19tGXtkF5QS5JA5BsObSh8IIgSEKCSIgASEocEp5HAxhqXpqeAQHNjm7+NXtz+OJw+If45PP+BN+cj8qu6u7qqmpQCtuhZQeBftSXmZWVlVVZL3Qmg342W1//z2s/+oM//PEf/fFP3ln5kz/9s5/+7N2f//nTbDyfdtOj7ngwnj7vtLN00B+lR7P+bJA+n0zT9rAzSJ91vtrG78/O02nWH48OZ5eT9OWwfTrqn/S77Rm8On738vqiRVQWncE8XbY66atWNmtPl0mrP0pa8/b0dNgfLcqJlvA9mw+Ps6Q1aOPPWXoxWzxbHk9eTdYk8TTtLVvtwXG2vFXB37h+/O7q+p11+pdUbzb0zarS//bHP//o31RL9dRYddVcDVWqRmoG9wPVVhlcL9SGWlcTePdSLeDdFO769D1VS7UC2DmkSiFFG95+BT9P4emFfjuCZ6SZEboLXAbwfwrIRL0HmDGkm8I9ckvo+5wo49sVuN5rcCVqVz1S22pPHal7akcdEA//tUK4beA7UZfAsw/Sn0EOE7UG0tyA35uQ+3X1Idw9ABk7lCYFGRO1D78Rk5KkTOkztaUO1UPivQb3n8HdjVotLUg7GfxvA88zjz4l5QlIiuWTkQZDqTOQbwgyh+ki9yGlw1zEynAL0hY5mTddsKllrpk6ipJztK+huvBKegq6bsPbM7I/f9oM3ndAUizPOZWRXwdTon3pTTWj8p+TrU6B/y2yb64zU8pHmmuwD196ui4lgEqBBr4b0c9TeDcG6RLiMSUOkrfMI4FNFfM2pZJbah3vwvuMZJlRKSTwxBRSej4hCbG2pZSS9SIlgDKjRCN4lxKXnkeSC4s2869Padd6qSeCZm1wnqckV6reEGJIkmF+F/CtQ94I612f0mC+MT16Kqw3C/BSIgfTwDylxBXzuMgtfAH10/6y9GAmcIeeAVH7+n4MvPvkA7EW+NCowxNKswB/lFKJjSKxXa2vBfmmKWmQ7e7SixvoPC3AC6Zah7700zz9E20LUyg7HyKFEh1qnezAfZueTGvgQt2kOpaR11qAT2yTJhL9bk4UbK3UW9MJWVJbW33LekaLuCQ5FmAtY5As1R5IZDJpF2RHGfFE+0OpHtJPTNGv0JZWzIU7JK8g+Q+3WAlo7ZF6CrX1iXoMdzugD3xzGNleSW6wrpyTD0CtSbu9IJ+w1HVGvI6Rm79MdSv7Alq2O+rvqUxfUh26o96nJ0yH3zbUP+jnb+ndCrUOM6oJXD4fUzpG4bc+eZlhzdcBaQvrsfmOqfEb+8Li+xWNYuk5he0FPwYJBS+ci99tOhl5DJT+DaTqkZUuClKZ95jb23B9Sy1ti/R1Qq0UysB6/bgGuwIY1nSqPZjRv7SJMeXI7Ze/NK/Ttzn5B8zd9R9kSbWI4gX8xFbffs7oeQ1wN0j73095hktzFihHsbUfWsl9f3UsXCbY2mB889JbMr4y+bu3KBP+XlcuF1fU55pahRyhrceU6UpjvWP6Ntz3SKYB0Tu1pKpSQqk2HTpYRvnJlWCrylHXNrWnvjbUWES1f4lRQp98qLGI34Jdoi6/Vf+u49UE8sa91C5ZoL/P6qL5T3AhzV/AtVTvEM0jkNrkMoEnjqVYuxn1k87hrgt3PYqQub+RkLZOdX/Yl7tHcLGepbffgWtBb5de5DZcLuR2EPkALhfyQRC5B5cLuRdE7sPlQu5bPsFXYgdwufAHQc6fw+VCfh5EPoHLhXwSRD6Fy4V8GkR+CZcL+WUQeR8uF/J+EPkpXC7kp0HkIVwu5GEQeQSXC3kURO7A5ULuaGR9TZ3qdqZHnszHY4tiM5tHF34P4M1WUL67NKrjwt6NqNPdGmy4Vt+jmMqFvReh07QGuxNhdyc12LDlPcj70GVs2Bc9zPuXZezDIHaXIkkXdjeI/US9rsF+ElHTvqrBhuvaHrVWLmzY+36mRxKq2M+C2Ee6n1DFhtuox/DGjX0c0WJMarD7Qezn6usabIzXn9Zgw37/II/wy9hwO3WYxyFlbIw3nddgw/70KfRg3Nhwa/UM3rqxz4LY53oso4p9HsR+QWNtLuwXES3sNzVYaWN5HPSU+iMp1FgftXZeK/EOR4nbAf6DvG3BO2yjekHMaY45JUx57NDlWQXxIBKxlyP2ouXKcj+aUX83zOUgRxxEIjp529SheCuUvpen71FEE0bcyxH3Sghfj5RnOxh3Tr0LeRNC2iMjZ1F5Guf+G+9SbQ9+zyuIxwUE2/YZWT7OCM0oDkJN+aid5W08IxN69iFwnPkkz6XwCONmuVewURdBVMeB6gRRlw7UZRA1d6DmQdS5A3UeRJmab+NaERZg9P+GxlROcu8WHgsvzpY+hhZ3B1o/fPMYfseMhvtjehx7wJbSjPCIL54qnMlYpTkjiQvvUYTNcywpzVFgysdQ32R2D2czFrrWsR9e5m15omT+I55On+Q5zelgfzFRw8Z0PqU3S+rfpXqWrQn+YV7z5a4Zfoc0zvNBo3zOJR4/09LPriD7ocYeXgF7APVporVv7pvS4BEYpiH3K6qlR+OxVIfaZpDeRUP6u7pkdq9QLjxzaM8iNtdRZuUvK+SvCQ2j58zSczMq2H/ifq/cJY1zMtKRr7lvKsOY2tGRlsM8NS0ZTNPTJSP3zWjsQ59rm6LuhXXf1HoneW7MfTMaTyklRxXmvhkNXv3A+jD3zWjgeEtbR/rmvqlnRw1w9Gzum3p1HF9PlVk5wG9Mv2hKPSVZR9KnHoJ/vMbu9VfbMRy1eZVHCX5KpndbT6ej0iAdE5HIPFszObCHMde9sG1A4QxBeNyqTf1mu0Uvc7dbddT1HujNXgfjH5EbgEwyDpHSyP0rva7Eh7HzYnCbQRzaxUkJ1dJvZ8EeouHLI0XFd8f0NhSLmdwaPbbIQ2dkbRPqB+6RZkN62CvpIUwxpKG9gobC9Jro7htdQ4vaXw/iJiXEJLe0Ls0w8rpIf2zq0vqBpeP39MwOzvrxPE/dOq4T8jptksXH004nY0f2O2xJbykzrs3fEipR9FDn5Cf6NAsVXqslI8Tc/17Qs6F9RLN/xZm0RFOR1XA4co5j6An5UNvDhnijvmRUju8z8rPigUMzdgZ96kA3jWm2aYXPATw/gXxvR63xMfOAY9L3VN3OV1eOqfz8Mbw929jKaci6Ods/+uLqswIVnv1NdVweT6NMR/CtCqVwnO+Sx0SrRb//Xr6yckY9gYHXluvHXnrEdZO4JlRnplQPF9acveHAEiycXzapv+rPJfJrwhE9aIjrK4sz62VEq2dTilgn1BMeUF0L1Y1iantEqvxFOO0rWd2N89dj8o8Jeb8EWqcx2WRC/+114DyPJv5gQB4yxuv0896Mq2/TD9qY6bf1Fa+9NPbmWi9r1y5eo8ERArcCy5Jti072qO/Hqx2m2rebuu1ve1JaKSsrum0rYYrGVtaI/w36Kf/FTlYrFoEa5nWt7Olc5TGmGAV11KY23u+DJK0t5fVchldaatP6GZmuFyS7RxFWotfh9oBzV/HaZuSFVjIlubNKGlnHXt9GIeVJSY+yeqWlvf6pbn9R7lvURq5SnWsps1NAogZJGxo3LvP18ypSj6OdfS/Uja6LWkOKiTJjtqyh0Ih+StGZLeWA9lbwat9UU6pqfVpK5eczIlscWnX5N/D2r+CnyC3PcXQ6Ba9wl2yAKZgnoxF+k1RSxPG6W+Allim0zLPhZ2xSUtlvrhJPs3czMfV5Yyq8av5Cj1LI/VVovLZovI7U4SHNLhotynvxRMfByOJQz0/G8mvC7bAB5XmQcrhHJqh+hJR2JBVHtRekGo7wBfVNkNZ6kBauNbRH/+06H4N01/Vy7f5NoXW/T72brpK9DNzrLO/78EdqTAF5f6A9rF3/W/QG+durVe39Szgu2SUKIuvf6LZtTJ7e+ARZq/RGpxEv26L79yvIIdWKjGqmID6gFLJ605YjKfmkO1avI6Gx/jb1qrjn4Y+Z7dSmVJJCj8LEm1yvDK+B+oWOF0ZUBjP1Oy+33UoEu2vFsIniec5BHmNgKf+uUSljZMmWIaMJ7v5lRqWEbR3PH3C/lne3VL0Vz96NQPtid3cUr6/9OMLTcOTrXg2N3+Y6bsK83YSUqHlT8q4UYX6DaI4hfleZx+MVysN8jXLx+Wq02rqtKz43o7VVkmvrLeTaKsm1VZGrrnzmJX2YcppTGjvuMTFoEdNSv4rmwhI148KYGC5bV8jLVuO8bF0hL1uN89IsF03kbyZ5E5l53i+WsqQWysUxHfbjZxSZhtbYIsLVj15z9ptvBPLRqdDrENamxm9ClHDUc6xHYuwWDcf/3qm09/z2HW+rP7Ba/LoWWajbrbJpJ7kVSqmF4bjf77+LqysSLatIEB7vYgpdxaul6yJxm+av4MKfiXLF4cIxZpT2ACIJ3DMSd0qAf53J1/qeR44TeoN+rVca5WjrfBZT+HX0tUXdph/DIZ4H7vwOSd+n3kpT2ZlyWHKbejz9N+QFpioNSm9SNs+DzSWckyqnJvnpk2cL56avRzqb50U4xOSkyCWeD88fhXJxouQkkGZ5EOrhHBQ5NOEhK0Tiytykbs7L5uTXV5VLLA9uBWRmS3A4w1ofE5p0MR5qapXId88BvcOJh7q0Fm+bD+FjODXnFcuNTyh5HVHqnC7VY9/Yt29eZwy3GGuu5xjPc5znzvSW3Py435c0KqmxlZvvnj72R40NCK+F4hHnsHSMt63IyBtLBWdgXDKM1X9HycD4OhliqchMUD0lSRGmJrtYXbmSbzEyGTp1MhWp2buIEzrnJNP114zUZfrrDs02yszjRyqhGSmeecyUrHDm+vMl1QJMYe82L++IFiTXKnuvdiwG+xPia+JRQ8Wnr1TRHG9dBb1QH6hJcNZFKJkePfafk9JVv7O9XmP1Y2Wr+eiyj4+dm5Ce63nhfOqxxdPNtQ7L41h4ztNXwA1Xp/E5AqxXHn0/V3JCS4vmufCkgk1KIbP8PAb4An6/hJ8u/XJJvdRpeBT1jCj69OuiFLri9eTWleud6004qruvdtUDdQR1fEe9bVTH49IzJav0U2WfeMWlZN4s1PuED/mvCekolua6RdNHdQjxffGssxcgD5b6ilVK9thBOfUZ2Qr7QElfL2sd1a7isRnZhVAuQ47jm18oFY8h8bg794NxtSbvVCmeDJcV5JORkLJsdk6LWr8NdYf17qrXXeIk7YY9o9dXM8vaqzkoIm0ZzckYC5p5KaMNDZOyXFb11urSRvlkvKYWZtutzFQ1tbUfiqX9f7ezOvlXHfJ/lxbGkVUzX3azxsJ+bzv/27bzNh7q5ltZ0FV91e9t6f+qLV3VD9l25F+F0acS5hO9XPtNstIpcx19ypycvRXqBxY5yJr31IqZWtZbmfE3M2RFfDEW8a1xvRo/E101PZM5pg/OOw7krE1zJu5Qz0Bx/NalcQax5wXFczOqHXwGb0fJLtgPlZyNXI+cVFAfFKLjMqZD3Gak0TLy/bw/WTyPFNdF4wiCvXtDRg8TvRMLT6dDS00KyDs5PbGvEN0yNT69W0bvJiUN8+4Oc4JwUshfMa2steXoMcklMjLKyumLXLrEk29eFyVSCfUifz4buU0pkfrtnL4tm5GgRzOWdbpKyKp92jQ7XjYVrz0fUBnzDpS5wlW1cwfHek5vz6FNOuFxLNuPyrhBWcMmfdXzMkX2o2PyDDEUTfoqxbpRpHK+sX5sau+c1KLc2rSx9RzrynRpxc8hzjE0RItuOqHSQkobUZRCpVSk5PLGiS5HlKVPtbxLVsnr9mbUZ8i0n+UVQ6jd8Dnqy9p0Lwo+kc/6H5EecTVER+e5jkc5Zf0+D95fMSOUuTd78KSO3VPHtHI30aNRONZ74cnlkEbbZqqv53FEs/vqvnqg/hZo9SH1N95czHQawSaV9Vj+9RSH+Wl+9grh8OlIW+pJfkZj3TpCuedeyhN9zpuf7m6AapXubk7XTzkkr09iP+X76hH1G5pog6U+jlhR/IDOXvNRxpPmjilVq3JCfj3deyDD/UrZy9vQiiRZK8UnQYs09mmA12kHIZ+7gHY4ayRdh97FcTEpr8LpQI/cuvZvmW8hXT7WuuzpU4B8qS/0qsjQWsgLygWnfKVkXe40SD9Tsh9T+tgXtDdbetQmXghTKe4ZMjspOQ82Tem3h+he5PL5bJrT8JlnC1U+T8xl6TE85Uwk1keRalnDMdT2CvTYbnltdlnieOpM+yDPuaFdpLiWc1tQvuLK80BNLLprgLwRaU/i38o2EMOV9xXZz2uWri7ptK463YXlk78ZNKbTE4211tkWnr7oqg1NvIbhuazIsMjtrGy1cRTvOmna+lp6bS28mrReZmmPfBSOoK3hE4+PItouTmnaKTxLtFgbwn0NobJFey5eOGi8DFK5m1NBC+hrSkU6LyNyz33T4r4j955s/27VTn7WKp5+ekwlcKtxaR4o+VsN5gm/++j5KfLKbe7TSp3vWbt8N3SExPGN2SWF+z9u07vncLGVHuu94In6ZUUSGz2nnscrdVMluU/xlwGfCSUtqf1uzaKE/asbUfZlW9cnkdZkbMmfdjtP+1jFnXCICMHYpw0UKcRLuw+9Ojc9lj6e0pGmE6r5+zm/Yo9qQtw+CaC/UHVnzX6hls7WUCyGx4vkLwDZf51nQgizm4V5F9PjXwzCN0Ow5BHFv3PV7K83IQVeyYOoHbrr61U/7BvG1HvGCE3OhDB/f4h3n2NNw1Er/9403HU+Vq5R4vLfIuFxH96bg1LyPrMXkKcx7XX/SHuslxHeYUQUyqfj2Bw6NMbEKwuw73xf/WOQ6mvSTbu0Mysk/yc5KinlIbQHAr017zUI8bNz8wLqpY2tcpXTnzbAfvbA7zXbNdXTepUYIrxj9bQgv/HF5hSIY+2tOhElW3eedczfazjI63v17Je6E6PXABPqtR5U/IhNI4bCXJXPj+b6MQ/mSk4xLCPDqw57qnwGO5dLL8I6B9SvG5TqQlGCu5T3dd2LxZK+lUd0PurP6fxp9s9nwXbruZUe746hFXHveS1+jxk9kGiAo/aylfrQlzp2XKP+jStW8GPPNbpZ/BGOq+RveJRjQVdb5Y7d/HYxUrI/uHySs2+nk8wW4RjGyvG7qxvlv8lavXm6eWdj/c7G55urv76r/17rT9Rfqr8GqTfUh+rX6iFYzxHw+69rP77202s/O//n89+e/8v5v3LSH13TmL9QhX/n//E/5vlXgw==</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> <latexit sha1_base64="KBCFUfxn3FcWJnkj3ybNdA7NYNE=">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</latexit> ↵1 <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> <latexit sha1_base64="eSLsnuXrHNf07Ob2qNfr2kf8vQ0=">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</latexit> ↵3 <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">AABB03ictVzNchu5EYY3f2vnz06OuUyidcqbchxJ66qkaitVK0uyrDVtyyYle3dpq/gzomkPOTSHlGxzdUnlmkfINXmMPEfeIDnlFdI/wABDYqYximOUJAyIr7vRAzS6G6C7k2SYzdbX/3npo+9893vf/8HHl6/88Ec//slPr1772VGWzqe9+LCXJun0WbeTxclwHB/OhrMkfjaZxp1RN4mfdl9v4+dPT+NpNkzHrdm7Sfx81BmMhyfDXmcGTcdXr7WJxmIa98+jdic5/uz46tr6rXX6F61WNnRlTel/B+m16FC1VV+lqqfmaqRiNVYzqCeqozIo36gNta4m0PZcLaBtCrUhfR6rc3UFsHPoFUOPDrS+ht8DePpGt47hGWlmhO4BlwR+poCM1HXApNBvCnXkFtHnc6KMrWW0F0QTZXsHf7ua1ghaZ+oltEo40zMUh2OZqRP1BxrDEMY0oRYcXU9TmZNWUPLIGdUMKEygDet9+HwK9R4hjZ4jwmQ0dtRthz7/F/XEVnzu6b5z9W+S8jqUSDX16NOcQkedEv2I3uYcPmN5EuA8AAqxHiPWzkjXIxr9GPovoP0hlHOqGZ10oSyo9bwSuQ3Fh9wWkXtQfMg9EdmA4kM2ROQBFB/yQCMROyWd+/FNKD58U+T8GIoP+VhEPoHiQz4RkUdQfMgjEfk1FB/yaxF5F4oPeVdE3ofiQ94XkS0oPmRLRB5C8SEPReQuFB9yVyPLV+oUSkp0hsKq3IJ6kQdaigRatkT57pB19GHvBKzpXglWXtU78NeP3QnQaVyC3Q2YdyclWHnm7YGN9GNlW3SPdhMf9p6I3YcZ4Mfui9gv1asS7JcBK+11CVZeaw3o58fK1vcBPPmxD0TsQ6j5sfIe9Qha/NhHATvGpAR7IGIfqzcl2BCrPy3Byna/CXbFj5X3qRb092NDrOm8BCvb0yPwYPxYebd6Cq1+7FMR+0y9LcE+E7FfgXX3Y78K2GHfl2DNHnuFdpAB+SMxrNgqap18VWJtAtQ6Av8k31sS8o270C5hBjlmQJiRiNjLEXuBiEaOaATLleV2NCN/V+bSzBHNQEQ335uwNhP79/P+WEsCEDs5YmcJUeWR4rs2Yzkl78K0SMhZvnNhLWRMaW6/sRbr+VBteQ3iUQHBc/slzfybFC1hBIWaqqL2Mt/jGRnRcxXijKI3M0rDQ8bNcqvgot6KqK4H1RVR7zyodyJq7kHNRdSpB3UqouzKd3HtgBlg9Y/vYkFPPAPYRy4vEXgFW7Dr3IM1GsH8OQAv8Am1PIK/TYq9pVIlGUbzuE9iluN5wRJPobZQa9Buo8Idiq8TWmExSMY9H+kYH58wt7HQa46t8Hm+k0d5xiSczpDkGeR00FuMaD3Vo3OfWs7Ju+NaPfy9fN2bWj38Lmn8nLx4rtXDz7T0swvI3tLY1gWwTVhNE619W69Lg/MvTMPUr9CuixYX3+pIzxmk97Ym/X39ZvYv8F62qcb6sfV6NDJnfFlhfHVoWD1njp7rUUHvib1eU4tqj2Ss415brytDSrvoWMthn+q+GezT12/G1OvROACPa5ti7oVTrzt7J/lobL0ejSPFec9z8uRNvR6NAT2zPmy9Hg3MtnR0nG/rdS07aoBjZ1uva9XHlAXGHBDPeW6xXtGU/KS5pjYk/6A6W+P6/Kv7GOZsXuQxQjUl69uW0+nme1m1RMZfiMGqzWrKgf7F3PHBijQWalOMr1iGWWF/X6Vj93jUfAO0GMHq5zMAKWeegIQmJ4HWOwGKG2LUVRyZwW2KOJwlJ0uotm6did6i5ctZo2LbMbVKcZkdrdVjm+x1RnNvQj5hgzQr6aFR+obLKEoaahQ0JNOro7v3er0Wtb8u4iZLiEk+03p0IsQnadVxqk/rTUfH1/UpzwwKn/nY+YvZ5hNtbTDmSckWoSxVPN1+Jo/ktuG+elPZHDd/FtEbRXt1SlZjSCdSmRiFmmwxe+MLera0D+lMDnkwjR68x0hTmSg+NcMsOubTI7Korr2VeKO+TIaO6xlZXWOPq9EDBz3woOvHONuwYzyEWgtihkN4agVEOVdyXaWk8an6bX46mtIbrI7ok4KFNDTY3sQFC1kVZb8sUDkDNM4GjtLDaSzTMfj2CiU56vfJY2PXouW/Tie35ny7Q3O8fDaXZ2L6xHWTuEa0avhUl5+WObAEC+8nm+S/Vo8S+dXhiDZU4vrC4cx6GdOJf0wR7IQ844RWm7Q6ir3d/NTyJ4bTgTJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8y9G5+vMxTnmPXjhopvNdj5FpMtmxN/Q9ddXRnNRY4YeB84X5rbRicN8gVj4jrV1t2u7erdB5H2noQ7S5iinSs3iP+n9Nv8mHmytjIjUMP4BjJt63zvI6WYBXXUoV2+2gaZvq6Un+QyvNBS2/3PyvRJQbIdirhQHtyt+8C5R8/MC2fJlOTOVvrwPlqVzUXKkyU94mhPKIpnuz/QOzDKfZN2yTVac22aJQOYBbM8ijB9pSzyMt9qXkXqYbSz/wt1q+ui1pBipGwGlzUk5fdjitZcKROY1Tx/X9Nq8mt9utSrms+Y5uLIWcvfQusv4beR2zyH0ekWrMIdmgNMwT5ZjXBLtNIjjNedAi8zMw0t+2z52TlperktF4mv2brZGPu0NpUDmjVvddbC1C9C45VD41WgDlt01mi1aNqNJToWY4uWPq0M5VeHW6sG5blIWfbIDGoYIKUbS4VR7YtU5RjfoN6LtNZFWh1Yre5pgLvmQ5D+tb68ur/Nd/dI3SXfpkceGMcvfVqlQ/K5TGt1pMYUkPNtbV/d1d+mFuTeJQuKlPkeJ64YPnXqUTnPJf213tlSsvPWIph7S2e6j7Gxbap/toIc0ZrIaF0axG3qEWv5XTmiJYt0y/E5Isr8d8inYr+jOmZ2e9t3EhX8CRtv8qqyvDhSGJP+pczb/kr0uu/ErxHFhHPtXXeBVv03jBQYYzIJfs8yozeEuxyfJLBH2yX7uWqn+BRv7Eh0i6ReqD8G2BiOeu1cd+eWGbEZ22+gJ2rdvnVfD5lfEsxR4neRE70O7Woj7aMulp4vRqujd7nic5Ue5kt8rT7m1MeNLGyUV8S01efBXFiielwYE8Kl3ijqyF9P8joy8+lUKGXT21AuZhrYxrykeEm6B4oIn3d3w+vNfSqMo7tCr0tYlxq3SJQwG5fq/IBraTErdXllH+LWy5W7UeLsRGU7haHu7hbWfrOFjMn6JUrK2XBvV/Z2IUqRszBMoaf4Rm9ZfOjS/BwK/o6ULzo0HENyh03wb7fUttr9ALch3ug6ZzQjakFb0F+KvTt6nMUe1Tp641B36YdwCOcxBF1L0g9pJ60rO1OWJXeph9M/IyswVbEove1ZfwwuF3kkq5zqjGdIlk0ezVCZ7+LUHYvhEDKSIpdwPnyuIY3iRJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXKJZQH7wLmxMXg8OSvPFax/UIs1NR5Ix+eA1qHkwrqZrf4X8dh+FhO9XmFcsvou2avAt4694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaD48ffRH7RwwvBaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/LsnfRniT0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhFNuhG7rfbVXfjZzj3AurdD+buU/Bex/u/P9qH1hKyHyaJz5qBNbTFlP+wpWp+e7f3ZMonxLi/f7W1BC56FN6gV7/k+pP5417dVGFv5N0h4rT9QqeoXIpLl0z27rrowguLJG+eAzPd8I7pLz1ksvnk2CjhbNPenliVa0CfyzYJuKb7rSNmjuTrRZ/V4coA37Dt5fihSv6O2jrbzuOdKnA9KOR8scc5IO0UOb53Pqu9mlXHZdrj089zZqe6XUpxtz/Oqc6M7pVz4Dno1flCBHzhSNkn7rykSnqrqbN68guZcy+SesI6VyUSyHjDO7OTvuzqyPa3gdRow/vul6PuOpHsgS5fy3xGdsE2JXqJ1s0vS803H6kzqvQpp9fcoj6+ubSz/XwarlaPNWxvrtzYe31774o7+fw4+Vr9Qv1I3YI3/Xn0B1A7UIXA4U39Vf1N/3zrcWmz9aevP3PWjSxrzc1X4t/WX/wIm9ad+</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> <latexit sha1_base64="1Zqo1S7zTNNrNS+5scqUbBtNmy4=">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</latexit> ? <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">AABB2HictVzdchPJFW42fwv5Y5Oq3ORmEi8pdosQm1CVVG2lao1tjBcDBsmGZQWURhoLwUgjNJL5Ea7KXSq3eYTcJu+Q58gbJFd5hZyf7ukeqWdOj0Post3T6u+c02e6T59zukU8SYf5bH39n+c++ta3v/Pd7318/sL3f/DDH/344ic/Ocqz+bSXHPayNJs+irt5kg7HyeFsOEuTR5Np0h3FafIwfrmFnz88Sab5MBu3Z28nyZNRdzAeHg973Rk0Pbv4sw7RWMTpPDmNOnHytJPPutNnF9fWr67Tv2i1sqEra0r/O8g+iQ5VR/VVpnpqrkYqUWM1g3qquiqH8o3aUOtqAm1P1ALaplAb0ueJOlUXADuHXgn06ELrS/g9gKdvdOsYnpFmTugecEnhZwrISF0CTAb9plBHbhF9PifK2FpFe0E0Uba38DfWtEbQOlPPoVXCmZ6hOBzLTB2r39MYhjCmCbXg6Hqaypy0gpJHzqhmQGECbVjvw+dTqPcIafQcESansaNuu/T5v6gntuJzT/edq3+TlJegRKqlR58VFLrqhOhH9Dbn8BnLkwLnAVBI9Bix9pp0PaLRj6H/AtrvQjmlmtFJDGVBrae1yC0oPuSWiNyF4kPuish9KD7kvog8gOJDHmgkYqekcz++BcWHb4mc70PxIe+LyAdQfMgHIvIIig95JCIfQ/EhH4vIm1B8yJsi8jYUH/K2iGxD8SHbIvIQig95KCJ3oPiQOxpZvVKnUDKiMxRW5SbUyzzQUqTQsinKd4Osow97I2BN9yqw8qrehr9+7HaATpMK7E7AvDuuwMozbxdspB8r26JbtJv4sLdE7B7MAD92T8R+pV5UYL8KWGkvK7DyWtuHfn6sbH3vwJMfe0fE3oWaHyvvUfegxY+9F7BjTCqwByL2vnpVgQ2x+tMKrGz3W2BX/Fh5n2pDfz82xJrOK7CyPT0CD8aPlXerh9Dqxz4UsY/UmwrsIxH7NVh3P/brgB32XQXW7LEXaAcZkD+SwIqto9YtViXWJkCtK/BPi70lJd84hnYJMygwA8KMRMRugdgNROwXiP1gufLCjubk78pcWgWiFYiIi70JazOxf7/oj7U0ALFdILaXEHUeKb5rM5YT8i5Mi4ScFTsX1kLGlBX2G2uJng/1ltcg7pUQPLef08y/QtESRlCoqTpqz4s9npERPdchXlP0ZkZpeMi4WWEVXNQbERV7ULGIeutBvRVRcw9qLqJOPKgTEWVXvovrBMwAq398Fwt64hnAPnJ1icAr2IRd5xas0QjmzwF4gQ+o5R78bVHsLZU6yTCax30SsxxPSpZ4CrWFWoN2GxVuU3yd0gpLQDLueU/H+PiEuY2FXnNshU+LnTwqMibhdIYkz6Cgg95iROupGZ3b1HJK3h3XmuFvFeve1Jrhd0jjp+TFc60Zfqaln51B9rbGts+AbcFqmmjt23pTGpx/YRqmfoF2XbS4+FZHes4gvTcN6e/pN7N3hveyRTXWj603o5E748tL42tCw+o5d/TcjAp6T+z1mlrUeCRjHffaelMZMtpFx1oO+9T0zWCfvn4zpt6MxgF4XFsUcy+cetPZOylGY+vNaBwpznuekidv6s1oDOiZ9WHrzWhgtqWr43xbb2rZUQMcO9t6U6s+piww5oB4znOL9Yqm5CfNNbUh+Qf12RrX51/dxzBn87SIEeopWd+2mk5c7GX1Ehl/IQGrNmsoB/oXc8cHK9NYqGtifMUyzEr7+yodu8ej5vdBixGsfj4DkHLmKUhochJovVOguCFGXeWRGdw1EYez5HgJ1dGtM9FbtHw5a1Rue0atUlxmR2v12CF7ndPcm5BPuE+alfSwX/mGqyhKGtovaUim10R37/R6LWt/XcRNlhCTYqb16ESIT9Lq41Sf1luOji/pU54ZFD7zsfMXs83H2tpgzJORLUJZ6ni6/UweyW3DffWKsjlu/iyiN4r26oSsxpBOpHIxCjXZYvbGF/RsaR/SmRzyYBo9eI+RpjJRfGqGWXTMp0dkUV17K/FGfZkMHddzsrrGHtejBw564EE3j3G2YMe4C7U2xAyH8NQOiHIuFLrKSONT9evidDSjN1gf0aclC2losL1JShayLsp+XqLyGtA4GzhKD6exTMfgOyuU5KjfJ4+NXcuW/xKd3Jrz7S7N8erZXJ2J6RPXa8Q1olXDp7r8tMyBJVh4P7lG/mv9KJFfE45oQyWuTx3OrJcxnfgnFMFOyDNOabVJq6Pc281PLX9iOB0oc3aOp9kZWciI7F8E+1NGczKiH/fugDlBZ4uQko0MsTvDwrvx+TpDcY5ZP26o+FaDnW8J2bI58Td03dWV01zkiIH3gdOluW10sk++YEJcp9q627Vdv/sg0t6TcGcJU7Rz5TLx/4x+mx8zT9ZWZgRqGN9Arm2d731kFLOgjrq0y9fbINPXlfLTQoanWmq7/1mZPi1Jtk0RF8qDu3UfOPfomXnhLJmS3PlKH95H67K5SHmypEcc7TFF8Wz3B3oHRrmv0C65RmuuQ7NkALNgVkQRpq+URV7mW8+rTD2Mdv5/oW51XdYaUoyUzeCyhqT8fkLRmitlCrOa5+9LWk1+rU+XetXzGdNcHDlr+T20/gJ+G7nNcxiduGQVbtAcYAr2yWqEW6KVHmG8bpR4mZlpaNlny8/OSdPLbTlLfM3WzcbYJ42pHNCseaOzFqZ+FhovHBovAnXYprNGq0XTbizRMzG2aOvTylB+Tbi1G1Cei5Rlj8yghgFSurFUGNW+SFWO8Q3qnUhrXaTVhdXqnga4az4E6V/ry6v7fbG7R+om+TY98sA4funTKh2Sz2Va6yM1poCcr2v76q7+DrUg95gsKFLme5y4YvjUqUfltJD0V3pny8jOW4tg7i291n2Mje1Q/bcryBGtiZzWpUFcpx6Jlt+VI1qySFcdnyOizH+XfCr2O+pjZre3fSdRyZ+w8SavKsuLI4Ux6V/KvO2tRK97TvwaUUw41951DLSav2GkwBiTSfB7ljm9Idzl+CSBPdqY7OeqneJTvLEj0VWSeqH+EGBjOOq1c92dW2bEZmyfQ0/Uun3rvh4yvzSYo8TvLCd6XdrVRtpHXSw9n41WV+9y5ec6PcyX+Fp9zKmPG1nYKK+M6agvgrmwRM24MCaES7NRNJG/meRNZObTqVDKprehXM40sI15TvGSdA8UET7v7rLXm/tMGEe8Qi8mrEuNWyRKmI3LdH7AtbSYlTq/sg9x6/na3Sh1dqKqncJQd3cLa7/ZQiZk/VIl5Wy4tyt7pxSlyFkYptBTfKO3Kj50aX4BBX9HyhcdGo4hucMW+LebakvtfIDbEK90nTOaEbWgLegvxd5dPc5yj3odvXKou/RDOITzGIKuJemHtJM2lZ0py5K71MPpvyYrMFWJKL3t2XwMLhd5JKucmoxnSJZNHs1Qme/iNB2L4RAykjKXcD58riGN4liZ7zQ1G4OhLo+gzKEJD3OPIeyd297Nebmc6vW1yiWUB+8C5sTF4PDkrzpWsf1CLNTUeSMfngNah+Ma6ma3+F/HYfhYTs15hXLL6btmLwLeOvdLdEYW/eHma8ZyC5nN1RzDeWbF6Ky35OfHfl/U6E1lzmg+PH30R+0cMLwWivOgsnSMd2eRlTeUCp4L+GTI1H/UP87J30Z4VdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRLboRu6X21E342So8wKa3Q/m7lPwXsf7vz/ah9Zish8mic+agQ20JZT/sKVqfnu392SqJ8S4v3+1tQwuehe9TK97zvUv98a5vuzS26m+Q8Fq/ozLVL0Uky6d7dl3FMILyyRvngMz3fCO6S89ZLL55Ngo4WzT3p5YlWtAn8s2CuBIfO1L2aK5O9Fk9nhzgDftukR+K1G+oravtPO65EueDSs4HS5xz0k6Zwxvns/q7WVVcthwu/SJ3dqL7ZRRn2/O8+tzodiUXvoNejx/U4AeOlC3S/kuKhKeqPps3r6E51zK5J6xjZTKRrAeMM7vF+66PbE9qeJ0EjP92Jfq2I+kuyBJT/juiE7Yp0Uu1bnZIer7pWJ9JvVUjrf4e5bOLaxvL/5fBauXo2tWN9asb96+vfXlD/z8HH6ufq1+qy7DGf6e+BGoH6hA4vFd/VX9Tf998vPnHzT9t/pm7fnROY36qSv82//JfrGSp+Q==</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">AABB2HictVzdchPJFW42fwv5Y5Oq3ORmEi8pdosQm1CVVG2lao1tjBcDBsmGZQWURhoLwUgjNJL5Ea7KXSq3eYTcJu+Q58gbJFd5hZyf7ukeqWdOj0Post3T6u+c02e6T59zukU8SYf5bH39n+c++ta3v/Pd7318/sL3f/DDH/344ic/Ocqz+bSXHPayNJs+irt5kg7HyeFsOEuTR5Np0h3FafIwfrmFnz88Sab5MBu3Z28nyZNRdzAeHg973Rk0Pbv4sw7RWMTpPDmNOnHytJPPutNnF9fWr67Tv2i1sqEra0r/O8g+iQ5VR/VVpnpqrkYqUWM1g3qquiqH8o3aUOtqAm1P1ALaplAb0ueJOlUXADuHXgn06ELrS/g9gKdvdOsYnpFmTugecEnhZwrISF0CTAb9plBHbhF9PifK2FpFe0E0Uba38DfWtEbQOlPPoVXCmZ6hOBzLTB2r39MYhjCmCbXg6Hqaypy0gpJHzqhmQGECbVjvw+dTqPcIafQcESansaNuu/T5v6gntuJzT/edq3+TlJegRKqlR58VFLrqhOhH9Dbn8BnLkwLnAVBI9Bix9pp0PaLRj6H/AtrvQjmlmtFJDGVBrae1yC0oPuSWiNyF4kPuish9KD7kvog8gOJDHmgkYqekcz++BcWHb4mc70PxIe+LyAdQfMgHIvIIig95JCIfQ/EhH4vIm1B8yJsi8jYUH/K2iGxD8SHbIvIQig95KCJ3oPiQOxpZvVKnUDKiMxRW5SbUyzzQUqTQsinKd4Osow97I2BN9yqw8qrehr9+7HaATpMK7E7AvDuuwMozbxdspB8r26JbtJv4sLdE7B7MAD92T8R+pV5UYL8KWGkvK7DyWtuHfn6sbH3vwJMfe0fE3oWaHyvvUfegxY+9F7BjTCqwByL2vnpVgQ2x+tMKrGz3W2BX/Fh5n2pDfz82xJrOK7CyPT0CD8aPlXerh9Dqxz4UsY/UmwrsIxH7NVh3P/brgB32XQXW7LEXaAcZkD+SwIqto9YtViXWJkCtK/BPi70lJd84hnYJMygwA8KMRMRugdgNROwXiP1gufLCjubk78pcWgWiFYiIi70JazOxf7/oj7U0ALFdILaXEHUeKb5rM5YT8i5Mi4ScFTsX1kLGlBX2G2uJng/1ltcg7pUQPLef08y/QtESRlCoqTpqz4s9npERPdchXlP0ZkZpeMi4WWEVXNQbERV7ULGIeutBvRVRcw9qLqJOPKgTEWVXvovrBMwAq398Fwt64hnAPnJ1icAr2IRd5xas0QjmzwF4gQ+o5R78bVHsLZU6yTCax30SsxxPSpZ4CrWFWoN2GxVuU3yd0gpLQDLueU/H+PiEuY2FXnNshU+LnTwqMibhdIYkz6Cgg95iROupGZ3b1HJK3h3XmuFvFeve1Jrhd0jjp+TFc60Zfqaln51B9rbGts+AbcFqmmjt23pTGpx/YRqmfoF2XbS4+FZHes4gvTcN6e/pN7N3hveyRTXWj603o5E748tL42tCw+o5d/TcjAp6T+z1mlrUeCRjHffaelMZMtpFx1oO+9T0zWCfvn4zpt6MxgF4XFsUcy+cetPZOylGY+vNaBwpznuekidv6s1oDOiZ9WHrzWhgtqWr43xbb2rZUQMcO9t6U6s+piww5oB4znOL9Yqm5CfNNbUh+Qf12RrX51/dxzBn87SIEeopWd+2mk5c7GX1Ehl/IQGrNmsoB/oXc8cHK9NYqGtifMUyzEr7+yodu8ej5vdBixGsfj4DkHLmKUhochJovVOguCFGXeWRGdw1EYez5HgJ1dGtM9FbtHw5a1Rue0atUlxmR2v12CF7ndPcm5BPuE+alfSwX/mGqyhKGtovaUim10R37/R6LWt/XcRNlhCTYqb16ESIT9Lq41Sf1luOji/pU54ZFD7zsfMXs83H2tpgzJORLUJZ6ni6/UweyW3DffWKsjlu/iyiN4r26oSsxpBOpHIxCjXZYvbGF/RsaR/SmRzyYBo9eI+RpjJRfGqGWXTMp0dkUV17K/FGfZkMHddzsrrGHtejBw564EE3j3G2YMe4C7U2xAyH8NQOiHIuFLrKSONT9evidDSjN1gf0aclC2losL1JShayLsp+XqLyGtA4GzhKD6exTMfgOyuU5KjfJ4+NXcuW/xKd3Jrz7S7N8erZXJ2J6RPXa8Q1olXDp7r8tMyBJVh4P7lG/mv9KJFfE45oQyWuTx3OrJcxnfgnFMFOyDNOabVJq6Pc281PLX9iOB0oc3aOp9kZWciI7F8E+1NGczKiH/fugDlBZ4uQko0MsTvDwrvx+TpDcY5ZP26o+FaDnW8J2bI58Td03dWV01zkiIH3gdOluW10sk++YEJcp9q627Vdv/sg0t6TcGcJU7Rz5TLx/4x+mx8zT9ZWZgRqGN9Arm2d731kFLOgjrq0y9fbINPXlfLTQoanWmq7/1mZPi1Jtk0RF8qDu3UfOPfomXnhLJmS3PlKH95H67K5SHmypEcc7TFF8Wz3B3oHRrmv0C65RmuuQ7NkALNgVkQRpq+URV7mW8+rTD2Mdv5/oW51XdYaUoyUzeCyhqT8fkLRmitlCrOa5+9LWk1+rU+XetXzGdNcHDlr+T20/gJ+G7nNcxiduGQVbtAcYAr2yWqEW6KVHmG8bpR4mZlpaNlny8/OSdPLbTlLfM3WzcbYJ42pHNCseaOzFqZ+FhovHBovAnXYprNGq0XTbizRMzG2aOvTylB+Tbi1G1Cei5Rlj8yghgFSurFUGNW+SFWO8Q3qnUhrXaTVhdXqnga4az4E6V/ry6v7fbG7R+om+TY98sA4funTKh2Sz2Va6yM1poCcr2v76q7+DrUg95gsKFLme5y4YvjUqUfltJD0V3pny8jOW4tg7i291n2Mje1Q/bcryBGtiZzWpUFcpx6Jlt+VI1qySFcdnyOizH+XfCr2O+pjZre3fSdRyZ+w8SavKsuLI4Ux6V/KvO2tRK97TvwaUUw41951DLSav2GkwBiTSfB7ljm9Idzl+CSBPdqY7OeqneJTvLEj0VWSeqH+EGBjOOq1c92dW2bEZmyfQ0/Uun3rvh4yvzSYo8TvLCd6XdrVRtpHXSw9n41WV+9y5ec6PcyX+Fp9zKmPG1nYKK+M6agvgrmwRM24MCaES7NRNJG/meRNZObTqVDKprehXM40sI15TvGSdA8UET7v7rLXm/tMGEe8Qi8mrEuNWyRKmI3LdH7AtbSYlTq/sg9x6/na3Sh1dqKqncJQd3cLa7/ZQiZk/VIl5Wy4tyt7pxSlyFkYptBTfKO3Kj50aX4BBX9HyhcdGo4hucMW+LebakvtfIDbEK90nTOaEbWgLegvxd5dPc5yj3odvXKou/RDOITzGIKuJemHtJM2lZ0py5K71MPpvyYrMFWJKL3t2XwMLhd5JKucmoxnSJZNHs1Qme/iNB2L4RAykjKXcD58riGN4liZ7zQ1G4OhLo+gzKEJD3OPIeyd297Nebmc6vW1yiWUB+8C5sTF4PDkrzpWsf1CLNTUeSMfngNah+Ma6ma3+F/HYfhYTs15hXLL6btmLwLeOvdLdEYW/eHma8ZyC5nN1RzDeWbF6Ky35OfHfl/U6E1lzmg+PH30R+0cMLwWivOgsnSMd2eRlTeUCp4L+GTI1H/UP87J30Z4VdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRLboRu6X21E342So8wKa3Q/m7lPwXsf7vz/ah9Zish8mic+agQ20JZT/sKVqfnu392SqJ8S4v3+1tQwuehe9TK97zvUv98a5vuzS26m+Q8Fq/ozLVL0Uky6d7dl3FMILyyRvngMz3fCO6S89ZLL55Ngo4WzT3p5YlWtAn8s2CuBIfO1L2aK5O9Fk9nhzgDftukR+K1G+oravtPO65EueDSs4HS5xz0k6Zwxvns/q7WVVcthwu/SJ3dqL7ZRRn2/O8+tzodiUXvoNejx/U4AeOlC3S/kuKhKeqPps3r6E51zK5J6xjZTKRrAeMM7vF+66PbE9qeJ0EjP92Jfq2I+kuyBJT/juiE7Yp0Uu1bnZIer7pWJ9JvVUjrf4e5bOLaxvL/5fBauXo2tWN9asb96+vfXlD/z8HH6ufq1+qy7DGf6e+BGoH6hA4vFd/VX9Tf998vPnHzT9t/pm7fnROY36qSv82//JfrGSp+Q==</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">AABB2HictVzdchPJFW42fwv5Y5Oq3ORmEi8pdosQm1CVVG2lao1tjBcDBsmGZQWURhoLwUgjNJL5Ea7KXSq3eYTcJu+Q58gbJFd5hZyf7ukeqWdOj0Post3T6u+c02e6T59zukU8SYf5bH39n+c++ta3v/Pd7318/sL3f/DDH/344ic/Ocqz+bSXHPayNJs+irt5kg7HyeFsOEuTR5Np0h3FafIwfrmFnz88Sab5MBu3Z28nyZNRdzAeHg973Rk0Pbv4sw7RWMTpPDmNOnHytJPPutNnF9fWr67Tv2i1sqEra0r/O8g+iQ5VR/VVpnpqrkYqUWM1g3qquiqH8o3aUOtqAm1P1ALaplAb0ueJOlUXADuHXgn06ELrS/g9gKdvdOsYnpFmTugecEnhZwrISF0CTAb9plBHbhF9PifK2FpFe0E0Uba38DfWtEbQOlPPoVXCmZ6hOBzLTB2r39MYhjCmCbXg6Hqaypy0gpJHzqhmQGECbVjvw+dTqPcIafQcESansaNuu/T5v6gntuJzT/edq3+TlJegRKqlR58VFLrqhOhH9Dbn8BnLkwLnAVBI9Bix9pp0PaLRj6H/AtrvQjmlmtFJDGVBrae1yC0oPuSWiNyF4kPuish9KD7kvog8gOJDHmgkYqekcz++BcWHb4mc70PxIe+LyAdQfMgHIvIIig95JCIfQ/EhH4vIm1B8yJsi8jYUH/K2iGxD8SHbIvIQig95KCJ3oPiQOxpZvVKnUDKiMxRW5SbUyzzQUqTQsinKd4Osow97I2BN9yqw8qrehr9+7HaATpMK7E7AvDuuwMozbxdspB8r26JbtJv4sLdE7B7MAD92T8R+pV5UYL8KWGkvK7DyWtuHfn6sbH3vwJMfe0fE3oWaHyvvUfegxY+9F7BjTCqwByL2vnpVgQ2x+tMKrGz3W2BX/Fh5n2pDfz82xJrOK7CyPT0CD8aPlXerh9Dqxz4UsY/UmwrsIxH7NVh3P/brgB32XQXW7LEXaAcZkD+SwIqto9YtViXWJkCtK/BPi70lJd84hnYJMygwA8KMRMRugdgNROwXiP1gufLCjubk78pcWgWiFYiIi70JazOxf7/oj7U0ALFdILaXEHUeKb5rM5YT8i5Mi4ScFTsX1kLGlBX2G2uJng/1ltcg7pUQPLef08y/QtESRlCoqTpqz4s9npERPdchXlP0ZkZpeMi4WWEVXNQbERV7ULGIeutBvRVRcw9qLqJOPKgTEWVXvovrBMwAq398Fwt64hnAPnJ1icAr2IRd5xas0QjmzwF4gQ+o5R78bVHsLZU6yTCax30SsxxPSpZ4CrWFWoN2GxVuU3yd0gpLQDLueU/H+PiEuY2FXnNshU+LnTwqMibhdIYkz6Cgg95iROupGZ3b1HJK3h3XmuFvFeve1Jrhd0jjp+TFc60Zfqaln51B9rbGts+AbcFqmmjt23pTGpx/YRqmfoF2XbS4+FZHes4gvTcN6e/pN7N3hveyRTXWj603o5E748tL42tCw+o5d/TcjAp6T+z1mlrUeCRjHffaelMZMtpFx1oO+9T0zWCfvn4zpt6MxgF4XFsUcy+cetPZOylGY+vNaBwpznuekidv6s1oDOiZ9WHrzWhgtqWr43xbb2rZUQMcO9t6U6s+piww5oB4znOL9Yqm5CfNNbUh+Qf12RrX51/dxzBn87SIEeopWd+2mk5c7GX1Ehl/IQGrNmsoB/oXc8cHK9NYqGtifMUyzEr7+yodu8ej5vdBixGsfj4DkHLmKUhochJovVOguCFGXeWRGdw1EYez5HgJ1dGtM9FbtHw5a1Rue0atUlxmR2v12CF7ndPcm5BPuE+alfSwX/mGqyhKGtovaUim10R37/R6LWt/XcRNlhCTYqb16ESIT9Lq41Sf1luOji/pU54ZFD7zsfMXs83H2tpgzJORLUJZ6ni6/UweyW3DffWKsjlu/iyiN4r26oSsxpBOpHIxCjXZYvbGF/RsaR/SmRzyYBo9eI+RpjJRfGqGWXTMp0dkUV17K/FGfZkMHddzsrrGHtejBw564EE3j3G2YMe4C7U2xAyH8NQOiHIuFLrKSONT9evidDSjN1gf0aclC2losL1JShayLsp+XqLyGtA4GzhKD6exTMfgOyuU5KjfJ4+NXcuW/xKd3Jrz7S7N8erZXJ2J6RPXa8Q1olXDp7r8tMyBJVh4P7lG/mv9KJFfE45oQyWuTx3OrJcxnfgnFMFOyDNOabVJq6Pc281PLX9iOB0oc3aOp9kZWciI7F8E+1NGczKiH/fugDlBZ4uQko0MsTvDwrvx+TpDcY5ZP26o+FaDnW8J2bI58Td03dWV01zkiIH3gdOluW10sk++YEJcp9q627Vdv/sg0t6TcGcJU7Rz5TLx/4x+mx8zT9ZWZgRqGN9Arm2d731kFLOgjrq0y9fbINPXlfLTQoanWmq7/1mZPi1Jtk0RF8qDu3UfOPfomXnhLJmS3PlKH95H67K5SHmypEcc7TFF8Wz3B3oHRrmv0C65RmuuQ7NkALNgVkQRpq+URV7mW8+rTD2Mdv5/oW51XdYaUoyUzeCyhqT8fkLRmitlCrOa5+9LWk1+rU+XetXzGdNcHDlr+T20/gJ+G7nNcxiduGQVbtAcYAr2yWqEW6KVHmG8bpR4mZlpaNlny8/OSdPLbTlLfM3WzcbYJ42pHNCseaOzFqZ+FhovHBovAnXYprNGq0XTbizRMzG2aOvTylB+Tbi1G1Cei5Rlj8yghgFSurFUGNW+SFWO8Q3qnUhrXaTVhdXqnga4az4E6V/ry6v7fbG7R+om+TY98sA4funTKh2Sz2Va6yM1poCcr2v76q7+DrUg95gsKFLme5y4YvjUqUfltJD0V3pny8jOW4tg7i291n2Mje1Q/bcryBGtiZzWpUFcpx6Jlt+VI1qySFcdnyOizH+XfCr2O+pjZre3fSdRyZ+w8SavKsuLI4Ux6V/KvO2tRK97TvwaUUw41951DLSav2GkwBiTSfB7ljm9Idzl+CSBPdqY7OeqneJTvLEj0VWSeqH+EGBjOOq1c92dW2bEZmyfQ0/Uun3rvh4yvzSYo8TvLCd6XdrVRtpHXSw9n41WV+9y5ec6PcyX+Fp9zKmPG1nYKK+M6agvgrmwRM24MCaES7NRNJG/meRNZObTqVDKprehXM40sI15TvGSdA8UET7v7rLXm/tMGEe8Qi8mrEuNWyRKmI3LdH7AtbSYlTq/sg9x6/na3Sh1dqKqncJQd3cLa7/ZQiZk/VIl5Wy4tyt7pxSlyFkYptBTfKO3Kj50aX4BBX9HyhcdGo4hucMW+LebakvtfIDbEK90nTOaEbWgLegvxd5dPc5yj3odvXKou/RDOITzGIKuJemHtJM2lZ0py5K71MPpvyYrMFWJKL3t2XwMLhd5JKucmoxnSJZNHs1Qme/iNB2L4RAykjKXcD58riGN4liZ7zQ1G4OhLo+gzKEJD3OPIeyd297Nebmc6vW1yiWUB+8C5sTF4PDkrzpWsf1CLNTUeSMfngNah+Ma6ma3+F/HYfhYTs15hXLL6btmLwLeOvdLdEYW/eHma8ZyC5nN1RzDeWbF6Ky35OfHfl/U6E1lzmg+PH30R+0cMLwWivOgsnSMd2eRlTeUCp4L+GTI1H/UP87J30Z4VdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRLboRu6X21E342So8wKa3Q/m7lPwXsf7vz/ah9Zish8mic+agQ20JZT/sKVqfnu392SqJ8S4v3+1tQwuehe9TK97zvUv98a5vuzS26m+Q8Fq/ozLVL0Uky6d7dl3FMILyyRvngMz3fCO6S89ZLL55Ngo4WzT3p5YlWtAn8s2CuBIfO1L2aK5O9Fk9nhzgDftukR+K1G+oravtPO65EueDSs4HS5xz0k6Zwxvns/q7WVVcthwu/SJ3dqL7ZRRn2/O8+tzodiUXvoNejx/U4AeOlC3S/kuKhKeqPps3r6E51zK5J6xjZTKRrAeMM7vF+66PbE9qeJ0EjP92Jfq2I+kuyBJT/juiE7Yp0Uu1bnZIer7pWJ9JvVUjrf4e5bOLaxvL/5fBauXo2tWN9asb96+vfXlD/z8HH6ufq1+qy7DGf6e+BGoH6hA4vFd/VX9Tf998vPnHzT9t/pm7fnROY36qSv82//JfrGSp+Q==</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> <latexit sha1_base64="Gr8xgjguOJd/5K8anWtk4Or9cLs=">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</latexit> Sinkhorn’s algorithm: <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> <latexit sha1_base64="l7qMe4HkMYc3WhN2oz6mIITRoPQ=">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</latexit> ✓ us as Kvs ◆ s <latexit sha1_base64="8MFvhq9k3akBZXIwntjL/P+MS+A=">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</latexit> <latexit sha1_base64="8MFvhq9k3akBZXIwntjL/P+MS+A=">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</latexit> <latexit sha1_base64="8MFvhq9k3akBZXIwntjL/P+MS+A=">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</latexit> <latexit sha1_base64="8MFvhq9k3akBZXIwntjL/P+MS+A=">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</latexit> <latexit sha1_base64="8MFvhq9k3akBZXIwntjL/P+MS+A=">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</latexit> ✓ vs b K>us ◆ s <latexit sha1_base64="GjffTDkgyExbCRDuz5al0SkUWdY=">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</latexit> <latexit sha1_base64="GjffTDkgyExbCRDuz5al0SkUWdY=">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</latexit> <latexit sha1_base64="GjffTDkgyExbCRDuz5al0SkUWdY=">AABETnictVxfc9u4EUeu/xL3X6597AuvvnRynTS108z0Zm46c4nsOL44iRPJTu5OiYeUKEUJLSqkJCfRafpN+lX60td2+tpv0D71rW+ddncBEKAEckE3NccWCOK3u1gCi90F5GiSjPLp1tbfLnzwrW9/57vfu3hp4/s/+OGPfnz5w58c5+ks68VHvTRJs6dRmMfJaBwfTUfTJH46yeLwNEriJ9GrFj5/Mo+zfJSOO9O3k/jZaTgcjwajXjiFqpPLn3Yn4WKjO2+d5EE3iQfTMMvSs2CjO8jCHjyIWhtL+Lj3vDtNJ0F3Bu02lhvLk/zk8ubW9S36CdYL26qwKdTPYfrhR78XXdEXqeiJmTgVsRiLKZQTEYocrq/FttgSE6h7JhZQl0FpRM9jsRQbgJ1BqxhahFD7Cv4O4e5rVTuGe6SZE7oHXBL4zQAZiCuASaFdBmXkFtDzGVHG2iraC6KJsr2Fz0jROoXaqXgBtRxOt/TFYV+mYiA+pT6MoE8TqsHe9RSVGWkFJQ+sXk2BwgTqsNyH5xmUe4TUeg4Ik1PfUbchPf87tcRavO+ptjPxD5LyClyBaKvepwWFUMyJfkBvcwbPpDwJcB4ChVj1EUtnpOtT6v0Y2i+g/gFcSyppnURwLah2WYtsweVCtljkHlwu5B6LPIDLhTxgkYdwuZCHConYjHTuxrfhcuHbLOdHcLmQj1jkY7hcyMcs8hguF/KYRX4Flwv5FYu8A5cLeYdF3oPLhbzHIjtwuZAdFnkElwt5xCJ34XIhdxWyeqZmcKVEZ8TMyltQLvNAS5FAzS1WvttkHV3Y2x5zuleB5Wf1Dny6sTseOo0rsLse425QgeVH3h7YSDeWt0V3aTVxYe+y2H0YAW7sPov9QryswH7hMdNeVWD5uXYA7dxY3vrehzs39j6LfQAlN5Zfox5CjRv70GPFmFRgD1nsI/G6Autj9bMKLG/322BX3Fh+nepAezfWx5rOKrC8PT0GD8aN5VerJ1Drxj5hsU/FmwrsUxb7JVh3N/ZLjxX2XQVWr7EbtIIMyR+JYcbWUQuLWYmlCVALGf5JsbYk5BtHUM9hhgVmSJhTFrFXIPY8EQcF4sBbrrywozn5uzyXdoFoeyKiYm3C0pRt3y/aYynxQOwUiJ0VRJ1Hiu9a92VO3oWu4ZDTYuXCkk+f0sJ+YylW46He8mrEwxJCju0XNPKvUbSEERRqqo7ai2KNl8iA7usQZxS96V5qHjxuWlgFG/WGRUUOVMSi3jpQb1nUzIGasai5AzVnUWbm27iuxwgw+sd3saA7OQKkj1x9BeAV3IJV5y7M0QDGzyF4gY+p5iF8tin25q46yTCax3USsxzPSpY4g9JCbEK9iQp3KL5OaIbFIJls+VDF+HiHuY2FmnPSCi+LlTwoMib+dEYkz7Cgg95iQPOpGZ17VLMk706WmuHvFvNel5rhd0njS/LiZakZfqqkn55D9o7Cds6BbcNsmijtm3JTGjL/Imno8gatumhx8a2eqjGD9N40pL+v3sz+Od5Li0pSP6bcjEZu9S8v9a8JDaPn3NJzMyroPUmvV5eCxj0Zq7jXlJvKkNIqOlZymLumbwbb9NWb0eVmNA7B42pRzL2wyk1H76TojSk3o3EsZN5zSZ68LjejMaR7qQ9TbkYDsy2hivNNuallRw3I2NmUm1r1MWWBMQckx7ysMV5RRn7STFEbkX9Qn62xff71dQxzNs+LGKGekvFtq+lExVpWL5H2F2KwatOGcqB/MbN8sDKNhbjBxldShmlpfV+nY9Z41PwBaDGA2S/3ALiceQIS6pwEWu8EKG6zUVe5Zxp3g8XhKBmsoLqqdsp6i4avzBqV606olovLTG+NHrtkr3MaexPyCQ9Is5weDirfcBVFTkMHJQ3x9Jro7p2ar2Xtb7G4yQpiUoy0Hu0IyZ20+jjVpfW2peMrapdnCpfc8zHjF7PNA2VtMOZJyRahLHU87XY6j2TX4bp6TZgct3wW0BtFezUnqzGiHamcjUJ1tlh64wu6N7SPaE8OeUgaPXiPgaIyEXLXDLPomE8PyKLa9pbjjfrSGTpZzsnqantcjx5a6KED3TzGacGK8QBKHYgZjuCu4xHlbBS6SknjmfhVsTua0husj+iTkoXUNKS9iUsWsi7KflGicgZoHA0ySvensUpH47trlPio3yWPiV3Llv8K7dzq/e2Qxnj1aK7OxPSJ6w3iGtCskbu68m6Vg5Rg4Xxyg/zX+l4ivyYc0YZyXJ9bnKVexrTjH1MEOyHPOKHZxs2Ocms7P7X6RHM6FHrvHHezU7KQAdm/ANanlMZkQL/22QG9gy4tQkI20sfujArvxuXrjNgxZvy4kZCnGsx4i8mWzYi/pmvPrpzGoowY5DqwXBnbWicH5AvGxDVT1t3M7frVB5HmnIQ9SiRFM1auEv9P6K/+1eNkc21EoIbxDeTK1rneR0oxC+oopFW+3gbptraUHxcyPFdSm/XPyPRxSbIdirhQHlyt+8C5R/eSF46SjOTO19rIdbQum4uUJyt6xN4OKIqXdn+oVmCU+xqtkps057o0SoYwCqZFFKHbclnkVb71vMrU/Wjn/xfqRtdlrSHFQJgMrtQQl9+PKVqzpUxgVMvx+4pmk1vr2Uqrej5jGoun1lz+Bmo/gr9abn3vRycqWYXbNAYkBXNnNCJrgrUWfrxul3jpkalpmXvDz4xJ3cquOU98La2bibHnjakc0qh5o7IWunweGi8tGi89ddihvUajRV2vLdEJG1t01G6lL78m3DoNKM9YyrxHplEjDyntWMqPap+lysf4GvWOpbXF0gphttq7Afac90G65/rq7P6mWN0DcYd8mx55YDJ+6dMsHZHPpWvrIzVJATnfVPbVnv1dqkHuEVlQpCzPceKMkbtOPbqWhaS/UCtbSnbeWAR9bulMtdE2tkvl36whT2lO5DQvNeImtYiV/LYcwYpFum75HAFl/kPyqaTfUR8z263NOwlK/oSJN+WsMrxkpDAm/XOZt/216HXfil8DiglnyruOgFbzN4wUJEZnEtyeZU5vCFc5uZMgPdqI7Oe6nZK7eGNLousk9UL8zsPGyKjXjHV7bOke6779Elqi1s1bd7Xg+SXeHDl+59nRC2lVO1U+6mLl/ny0QrXKle/r9DBb4Wv0MaM2dmRhorwypis+8+YiJWrGRWJ8uDTrRRP5m0neRGa5O+VLWbfWlMuZBmljXlC8xJ0DRYTLu7vq9OY+YfoRrdGLCGtTkzUcJczGpSo/YFtazEpdWluHZO2l2tUosVaiqpVCU7dXC2O/pYWMyfolgsvZyNa27N1SlMJnYSSFnpAneqviQ5vmZ3Dh30C4okPN0Sd32Ab/9pZoid33cBritSrLjGZANWgL+iuxd6j6WW5Rr6PXFnWbvg8Hfx4j0DUn/YhW0qayS8q85DZ1f/pnZAUyEbPSm5bN+2Bz4XuyzqlJf0Zk2fjejIT+Lk7TvmgOPj0pc/HnI/c1uF4MhP5OU7M+aOp8D8ocmvDQ5xj83rlp3ZyXzaleX+tcfHnIVUDvuGgc7vxVxyqmnY+Fyqw38v45oHUY1FDXq8X/2g/Nx3BqzsuXW07fNXvp8dZlu1hlZNEfbj5nDDef0VzN0Z9nWvTOeEtuftLvCxq9qdTqzfunj/6oGQOa10LIPCgvncTbo8jI60sF9wVcMqTin+KPF/hvI7wuaFTJ0YSS3qeopqZb8NT0Ny5dvdPPfGQydKpkKlMzcUSbTsS2xL64A7+twgNsejpUfpdSfiLW/f3ZPtQOyHroLLrMHHSpLqbsh9lF69O9OT9bJTGe5ZVneztQg3vhB1SL53wfUHs869sp9a36GyRyrt8XqeiXIpLV3T0zryLoQXnnTeaA9Pd8AzpLL7NY8uTZqcfeoj4/tSrRgp7wJwuiSnxkSdmjsTpRe/W4c4An7MMiPxSIX1NdqOw8rrkc58NKzocrnHPSTpnDG+tZ/dmsKi4ti0u/yJ3NVbuU4myzn1efG92p5CLPoNfjhzX4oSVlm7T/iiLhTNRn82Y1NGdKJnuHdSx0JlLqAePMsHjf9ZHtvIbX3KP/9yrR9yxJ90CWiPLfAe2wZUQvUbrZJenlScf6TOrdGmn19yglTXPW0YwDfWqxPkufqHEnMxf6vxEsaD7gaqpPJnLZk7iCTkQnAmOiJM9IcvsGvDy8ND6ycFRmrCQzj2/vzj1kmXvQGTDSDFgKQ1YSNYNPLm9ur/5/jPXC8Y3r21vXtx/d3Pz8tvrfGRfFz8TPxVVYN34rPocReiiOgNMfxJ/En8VfWn9t/av179Z/ZNMPLijMT0XpZ+fifwEXLC6t</latexit> <latexit sha1_base64="GjffTDkgyExbCRDuz5al0SkUWdY=">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</latexit> <latexit sha1_base64="GjffTDkgyExbCRDuz5al0SkUWdY=">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</latexit> b Q s (K>us) s <latexit sha1_base64="NkAuwyqS42kteEC2qNNkREa1ZLs=">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</latexit> <latexit sha1_base64="NkAuwyqS42kteEC2qNNkREa1ZLs=">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</latexit> <latexit sha1_base64="NkAuwyqS42kteEC2qNNkREa1ZLs=">AABERnictVxfbxu5EWeu/y7pv1z72Je9OimSIufa7gEtcChwiew4PjuJE8lO7k6JsSutFCVrrbIryUl0Rr9FP02BPrXoV+g3aF/ap6KvnRmSS67E3eG6aQjbXIq/meEsOZwZUokmySifbmz87dIH3/r2d777vQ8vX/n+D374ox9f/egnx3k6y3rxUS9N0uxpFOZxMhrHR9PRNImfTrI4PI2S+En0qoWfP5nHWT5Kx53p20n87DQcjkeDUS+cQtPJ1Y1r3agVdJN4MA2zLD0LupMs7Z/kwY3u/vPuNJ0E3VnrJL/5fNFNwpP8/NrJ1bWN9Q36F6xWNlVlTah/h+lHH/9edEVfpKInZuJUxGIsplBPRChyKF+LTbEhJtD2TCygLYPaiD6Pxbm4AtgZ9IqhRwitr+D3EJ6+Vq1jeEaaOaF7wCWBnwyQgbgOmBT6ZVBHbgF9PiPK2FpFe0E0Uba38DdStE6hdSpeQCuH0z19cTiWqRiI39IYRjCmCbXg6HqKyoy0gpIH1qimQGECbVjvw+cZ1HuE1HoOCJPT2FG3IX3+d+qJrfjcU31n4h8k5XUogWir0acFhVDMiX5Ab3MGn0l5EuA8BAqxGiPWzkjXpzT6MfRfQPsDKOdU0zqJoCyo9bwW2YLiQrZY5C4UF3KXRR5AcSEPWOQhFBfyUCERm5HO3fg2FBe+zXJ+BMWFfMQiH0NxIR+zyGMoLuQxi/wKigv5FYu8C8WFvMsi96G4kPsssgPFheywyCMoLuQRi9yB4kLuKGT1Ss2gpERnxKzK21Av80BLkUDLbVa+O2QdXdg7Hmu6V4HlV/U2/HVjtz10Gldgdzzm3aACy8+8XbCRbixvi+7RbuLC3mOxezAD3Ng9FvuFeFmB/cJjpb2qwPJr7QD6ubG89b0PT27sfRb7AGpuLL9HPYQWN/ahx44xqcAesthH4nUF1sfqZxVY3u63wa64sfw+1YH+bqyPNZ1VYHl7egwejBvL71ZPoNWNfcJin4o3FdinLPZLsO5u7JceO+y7CqzeY6/QDjIkfySGFVtHLSxWJdYmQC1k+CfF3pKQbxxBO4cZFpghYU5ZxG6B2PVEHBSIA2+58sKO5uTv8lzaBaLtiYiKvQlrU7Z/v+iPtcQDsV0gtpcQdR4pvms9ljl5F7qFQ06LnQtrPmNKC/uNtVjNh3rLqxEPSwg5t1/QzL9F0RJGUKipOmovij1eIgN6rkOcUfSmR6l58LhpYRVs1BsWFTlQEYt660C9ZVEzB2rGouYO1JxFmZVv47oeM8DoH9/Fgp7kDJA+cnUJwCu4DbvOPVijAcyfQ/ACH1PLQ/jbptibK3WSYTSP+yRmOZ6VLHEGtYVYg3YTFW5TfJ3QCotBMtnzoYrx8QlzGwu15qQVPi928qDImPjTGZE8w4IOeosBradmdPap5Zy8O1lrhr9XrHtda4bfIY2fkxcva83wUyX99AKydxS2cwFsG1bTRGnf1JvSkPkXSUPXr9CuixYX3+qpmjNI701D+nvqzexd4L20qCb1Y+rNaOTW+PLS+JrQMHrOLT03o4Lek/R6dS1oPJKxintNvakMKe2iYyWHeWr6ZrBPX70ZXW9G4xA8rhbF3Aur3nT2TorRmHozGsdC5j3PyZPX9WY0hvQs9WHqzWhgtiVUcb6pN7XsqAEZO5t6U6s+piww5oDknJctxivKyE+aKWoj8g/qszW2z7+6j2HO5nkRI9RTMr5tNZ2o2MvqJdL+QgxWbdpQDvQvZpYPVqaxEFtsfCVlmJb291U6Zo9HzR+AFgNY/fIMgMuZJyChzkmg9U6A4iYbdZVHpnFbLA5nyWAJ1VWtU9ZbNHxl1qjcdkKtXFxmRmv02CV7ndPcm5BPeECa5fRwUPmGqyhyGjooaYin10R379R6LWt/g8VNlhCTYqb16ERInqTVx6kurbctHV9XpzxTKPLMx8xfzDYPlLXBmCclW4Sy1PG0++k8kt2G++otYXLc8rOA3ijaqzlZjRGdSOVsFKqzxdIbX9CzoX1EZ3LIQ9LowXsMFJWJkKdmmEXHfHpAFtW2txxv1JfO0Ml6TlZX2+N69NBCDx3o5jFOC3aMB1DrQMxwBE8djyjnSqGrlDSeiU+K09GU3mB9RJ+ULKSmIe1NXLKQdVH2ixKVM0DjbJBRuj+NZToa312hxEf9LnlM7Fq2/Nfp5Fafb4c0x6tnc3Umpk9ct4hrQKtGnurKp2UOUoKF85Mt8l/rR4n8mnBEG8pxfW5xlnoZ04l/TBHshDzjhFYbtzrKve381PInmtOh0GfneJqdkoUMyP4FsD+lNCcD+rHvDugTdGkRErKRPnZnVHg3Ll9nxM4x48eNhLzVYOZbTLZsRvw1XXt15TQXZcQg94HzpbmtdXJAvmBMXDNl3c3art99EGnuSdizRFI0c+UG8b9Jv/WPnidrKzMCNYxvIFe2zvU+UopZUEch7fL1Nkj3taW8VsjwXElt9j8j07WSZNsUcaE8uFv3gXOPniUvnCUZyZ2v9JH7aF02FylPlvSIox1QFC/t/lDtwCj3Ldol12jNdWmWDGEWTIsoQvflssjLfOt5lan70c7/L9SNrstaQ4qBMBlcqSEuvx9TtGZLmcCslvP3Fa0mt9azpV71fMY0F0+ttfwNtH4Mv7Xc+tmPTlSyCndoDkgK5sloRLYEKz38eN0p8dIzU9Myz4afmZO6l91ykfhaWjcTY88bUzmkWfNGZS10/SI0Xlo0XnrqsENnjUaLul1bohM2tuio00pffk24dRpQnrGUeY9Mo0YeUtqxlB/VPkuVj/E16h1La4OlFcJqtU8D7DXvg3Sv9eXV/U2xuwfiLvk2PfLAZPzSp1U6Ip9Lt9ZHapICcv5U2Vd79XepBblHZEGRsrzHiStGnjr1qJwXkv5C7Wwp2XljEfS9pTPVR9vYLtV/vYI8pTWR07rUiE+pR6zkt+UIlizSuuVzBJT5D8mnkn5Hfcxs9zbvJCj5EybelKvK8JKRwpj0z2Xe9lai1z0rfg0oJpwp7zoCWs3fMFKQGJ1JcHuWOb0h3OXkSYL0aCOyn6t2Sp7ijS2J1knqhfidh42RUa+Z6/bc0iPWY/sl9EStm7fu6sHzS7w5cvwucqIX0q52qnzUxdLzxWiFapcrP9fpYbbE1+hjRn3syMJEeWVMV3zmzUVK1IyLxPhwaTaKJvI3k7yJzPJ0ypey7q0plzMN0sa8oHiJuweKCJd3d8Ppzd1kxhGt0IsIa1OTLRwlzMalKj9gW1rMSl1e2Ydk6+Xa3SixdqKqnUJTt3cLY7+lhYzJ+iWCy9nI3rbs3VKUwmdhJIWekDd6q+JDm+ZnUPB3IFzRoebokztsg397W7TEznu4DfFa1WVGM6AWtAX9pdg7VOMs96jX0WuLuk3fh4M/jxHompN+RDtpU9klZV5ym7o//TOyApmIWelNz+ZjsLnwI1nl1GQ8I7Js/GhGQn8Xp+lYNAefkZS5+POR5xrcKAZCf6ep2Rg0dX4EZQ5NeOh7DH7v3PRuzsvmVK+vVS6+POQuoE9cNA5P/qpjFdPPx0Jl1ht5/xzQOgxqqOvd4n8dh+ZjODXn5cstp++avfR467JfrDKy6A83XzOGm89srubozzMtRme8JTc/6fcFjd5Uao3m/dNHf9TMAc1rIWQelJdO4u1ZZOT1pYLnAi4ZUvEv8adL/LcRXhc0quRoQkmfU1RT0z14avobl67R6c98ZDJ0qmQqUzNxRJtuxLbEnrgLP63CA2x6O1R+l1L+Raz7+7N9aB2Q9dBZdJk56FJbTNkPc4rWp2dzf7ZKYrzLK+/2dqAFz8IPqBXv+T6g/njXt1MaW/U3SORavy9S0S9FJMune2ZdRTCC8smbzAHp7/kGdJdeZrHkzbNTj7NFfX9qWaIFfcLfLIgq8ZElZY/m6kSd1ePJAd6wD4v8UCB+RW2hsvO453KcDys5Hy5xzkk7ZQ5vrM/q72ZVcWlZXPpF7myu+qUUZ5vzvPrc6HYlF3kHvR4/rMEPLSnbpP1XFAlnoj6bN6uhOVMy2SesY6EzkVIPGGeGxfuuj2znNbzmHuPfr0TvW5LugiwR5b8DOmHLiF6idLND0subjvWZ1Hs10urvUUqa5q6jmQf61mJ9lj5R805mLvT/RrCg9YC7qb6ZyGVP4go6Ed0IjImSvCPJnRvw8vDS+MjCUZmxksw8vr0795Bl7kFnwEgzYCkMWUnUCj65ura5/P9jrFaOt9Y3N9Y3H22tfX5H/d8ZH4qfiZ+LG7Bv/EZ8DjP0UBwBpz+IP4o/i7+0/tr6Z+vfrf/Irh9cUpifitK/bfFfsM0sPA==</latexit> <latexit sha1_base64="NkAuwyqS42kteEC2qNNkREa1ZLs=">AABERnictVxfbxu5EWeu/y7pv1z72Je9OimSIufa7gEtcChwiew4PjuJE8lO7k6JsSutFCVrrbIryUl0Rr9FP02BPrXoV+g3aF/ap6KvnRmSS67E3eG6aQjbXIq/meEsOZwZUokmySifbmz87dIH3/r2d777vQ8vX/n+D374ox9f/egnx3k6y3rxUS9N0uxpFOZxMhrHR9PRNImfTrI4PI2S+En0qoWfP5nHWT5Kx53p20n87DQcjkeDUS+cQtPJ1Y1r3agVdJN4MA2zLD0LupMs7Z/kwY3u/vPuNJ0E3VnrJL/5fNFNwpP8/NrJ1bWN9Q36F6xWNlVlTah/h+lHH/9edEVfpKInZuJUxGIsplBPRChyKF+LTbEhJtD2TCygLYPaiD6Pxbm4AtgZ9IqhRwitr+D3EJ6+Vq1jeEaaOaF7wCWBnwyQgbgOmBT6ZVBHbgF9PiPK2FpFe0E0Uba38DdStE6hdSpeQCuH0z19cTiWqRiI39IYRjCmCbXg6HqKyoy0gpIH1qimQGECbVjvw+cZ1HuE1HoOCJPT2FG3IX3+d+qJrfjcU31n4h8k5XUogWir0acFhVDMiX5Ab3MGn0l5EuA8BAqxGiPWzkjXpzT6MfRfQPsDKOdU0zqJoCyo9bwW2YLiQrZY5C4UF3KXRR5AcSEPWOQhFBfyUCERm5HO3fg2FBe+zXJ+BMWFfMQiH0NxIR+zyGMoLuQxi/wKigv5FYu8C8WFvMsi96G4kPsssgPFheywyCMoLuQRi9yB4kLuKGT1Ss2gpERnxKzK21Av80BLkUDLbVa+O2QdXdg7Hmu6V4HlV/U2/HVjtz10Gldgdzzm3aACy8+8XbCRbixvi+7RbuLC3mOxezAD3Ng9FvuFeFmB/cJjpb2qwPJr7QD6ubG89b0PT27sfRb7AGpuLL9HPYQWN/ahx44xqcAesthH4nUF1sfqZxVY3u63wa64sfw+1YH+bqyPNZ1VYHl7egwejBvL71ZPoNWNfcJin4o3FdinLPZLsO5u7JceO+y7CqzeY6/QDjIkfySGFVtHLSxWJdYmQC1k+CfF3pKQbxxBO4cZFpghYU5ZxG6B2PVEHBSIA2+58sKO5uTv8lzaBaLtiYiKvQlrU7Z/v+iPtcQDsV0gtpcQdR4pvms9ljl5F7qFQ06LnQtrPmNKC/uNtVjNh3rLqxEPSwg5t1/QzL9F0RJGUKipOmovij1eIgN6rkOcUfSmR6l58LhpYRVs1BsWFTlQEYt660C9ZVEzB2rGouYO1JxFmZVv47oeM8DoH9/Fgp7kDJA+cnUJwCu4DbvOPVijAcyfQ/ACH1PLQ/jbptibK3WSYTSP+yRmOZ6VLHEGtYVYg3YTFW5TfJ3QCotBMtnzoYrx8QlzGwu15qQVPi928qDImPjTGZE8w4IOeosBradmdPap5Zy8O1lrhr9XrHtda4bfIY2fkxcva83wUyX99AKydxS2cwFsG1bTRGnf1JvSkPkXSUPXr9CuixYX3+qpmjNI701D+nvqzexd4L20qCb1Y+rNaOTW+PLS+JrQMHrOLT03o4Lek/R6dS1oPJKxintNvakMKe2iYyWHeWr6ZrBPX70ZXW9G4xA8rhbF3Aur3nT2TorRmHozGsdC5j3PyZPX9WY0hvQs9WHqzWhgtiVUcb6pN7XsqAEZO5t6U6s+piww5oDknJctxivKyE+aKWoj8g/qszW2z7+6j2HO5nkRI9RTMr5tNZ2o2MvqJdL+QgxWbdpQDvQvZpYPVqaxEFtsfCVlmJb291U6Zo9HzR+AFgNY/fIMgMuZJyChzkmg9U6A4iYbdZVHpnFbLA5nyWAJ1VWtU9ZbNHxl1qjcdkKtXFxmRmv02CV7ndPcm5BPeECa5fRwUPmGqyhyGjooaYin10R379R6LWt/g8VNlhCTYqb16ERInqTVx6kurbctHV9XpzxTKPLMx8xfzDYPlLXBmCclW4Sy1PG0++k8kt2G++otYXLc8rOA3ijaqzlZjRGdSOVsFKqzxdIbX9CzoX1EZ3LIQ9LowXsMFJWJkKdmmEXHfHpAFtW2txxv1JfO0Ml6TlZX2+N69NBCDx3o5jFOC3aMB1DrQMxwBE8djyjnSqGrlDSeiU+K09GU3mB9RJ+ULKSmIe1NXLKQdVH2ixKVM0DjbJBRuj+NZToa312hxEf9LnlM7Fq2/Nfp5Fafb4c0x6tnc3Umpk9ct4hrQKtGnurKp2UOUoKF85Mt8l/rR4n8mnBEG8pxfW5xlnoZ04l/TBHshDzjhFYbtzrKve381PInmtOh0GfneJqdkoUMyP4FsD+lNCcD+rHvDugTdGkRErKRPnZnVHg3Ll9nxM4x48eNhLzVYOZbTLZsRvw1XXt15TQXZcQg94HzpbmtdXJAvmBMXDNl3c3art99EGnuSdizRFI0c+UG8b9Jv/WPnidrKzMCNYxvIFe2zvU+UopZUEch7fL1Nkj3taW8VsjwXElt9j8j07WSZNsUcaE8uFv3gXOPniUvnCUZyZ2v9JH7aF02FylPlvSIox1QFC/t/lDtwCj3Ldol12jNdWmWDGEWTIsoQvflssjLfOt5lan70c7/L9SNrstaQ4qBMBlcqSEuvx9TtGZLmcCslvP3Fa0mt9azpV71fMY0F0+ttfwNtH4Mv7Xc+tmPTlSyCndoDkgK5sloRLYEKz38eN0p8dIzU9Myz4afmZO6l91ykfhaWjcTY88bUzmkWfNGZS10/SI0Xlo0XnrqsENnjUaLul1bohM2tuio00pffk24dRpQnrGUeY9Mo0YeUtqxlB/VPkuVj/E16h1La4OlFcJqtU8D7DXvg3Sv9eXV/U2xuwfiLvk2PfLAZPzSp1U6Ip9Lt9ZHapICcv5U2Vd79XepBblHZEGRsrzHiStGnjr1qJwXkv5C7Wwp2XljEfS9pTPVR9vYLtV/vYI8pTWR07rUiE+pR6zkt+UIlizSuuVzBJT5D8mnkn5Hfcxs9zbvJCj5EybelKvK8JKRwpj0z2Xe9lai1z0rfg0oJpwp7zoCWs3fMFKQGJ1JcHuWOb0h3OXkSYL0aCOyn6t2Sp7ijS2J1knqhfidh42RUa+Z6/bc0iPWY/sl9EStm7fu6sHzS7w5cvwucqIX0q52qnzUxdLzxWiFapcrP9fpYbbE1+hjRn3syMJEeWVMV3zmzUVK1IyLxPhwaTaKJvI3k7yJzPJ0ypey7q0plzMN0sa8oHiJuweKCJd3d8Ppzd1kxhGt0IsIa1OTLRwlzMalKj9gW1rMSl1e2Ydk6+Xa3SixdqKqnUJTt3cLY7+lhYzJ+iWCy9nI3rbs3VKUwmdhJIWekDd6q+JDm+ZnUPB3IFzRoebokztsg397W7TEznu4DfFa1WVGM6AWtAX9pdg7VOMs96jX0WuLuk3fh4M/jxHompN+RDtpU9klZV5ym7o//TOyApmIWelNz+ZjsLnwI1nl1GQ8I7Js/GhGQn8Xp+lYNAefkZS5+POR5xrcKAZCf6ep2Rg0dX4EZQ5NeOh7DH7v3PRuzsvmVK+vVS6+POQuoE9cNA5P/qpjFdPPx0Jl1ht5/xzQOgxqqOvd4n8dh+ZjODXn5cstp++avfR467JfrDKy6A83XzOGm89srubozzMtRme8JTc/6fcFjd5Uao3m/dNHf9TMAc1rIWQelJdO4u1ZZOT1pYLnAi4ZUvEv8adL/LcRXhc0quRoQkmfU1RT0z14avobl67R6c98ZDJ0qmQqUzNxRJtuxLbEnrgLP63CA2x6O1R+l1L+Raz7+7N9aB2Q9dBZdJk56FJbTNkPc4rWp2dzf7ZKYrzLK+/2dqAFz8IPqBXv+T6g/njXt1MaW/U3SORavy9S0S9FJMune2ZdRTCC8smbzAHp7/kGdJdeZrHkzbNTj7NFfX9qWaIFfcLfLIgq8ZElZY/m6kSd1ePJAd6wD4v8UCB+RW2hsvO453KcDys5Hy5xzkk7ZQ5vrM/q72ZVcWlZXPpF7myu+qUUZ5vzvPrc6HYlF3kHvR4/rMEPLSnbpP1XFAlnoj6bN6uhOVMy2SesY6EzkVIPGGeGxfuuj2znNbzmHuPfr0TvW5LugiwR5b8DOmHLiF6idLND0subjvWZ1Hs10urvUUqa5q6jmQf61mJ9lj5R805mLvT/RrCg9YC7qb6ZyGVP4go6Ed0IjImSvCPJnRvw8vDS+MjCUZmxksw8vr0795Bl7kFnwEgzYCkMWUnUCj65ura5/P9jrFaOt9Y3N9Y3H22tfX5H/d8ZH4qfiZ+LG7Bv/EZ8DjP0UBwBpz+IP4o/i7+0/tr6Z+vfrf/Irh9cUpifitK/bfFfsM0sPA==</latexit> <latexit sha1_base64="NkAuwyqS42kteEC2qNNkREa1ZLs=">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</latexit>
  50. Overview • Entropic Regularization and Sinkhorn • Convergence Analysis •

    Sinkhorn Divergences • Generative Model Fitting
  51. Kernel norms and MMDs " > 0 : in general,

    there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not all us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structu of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gauss sample, the positions of the red dots that make up a model distribution ↵ optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, These registrations are performed in the unit square, with an Earth Move cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 Problem: <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> " <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">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</latexit> min ⇡1=↵,⇡2= R X2 d(x, y)pd⇡(x, y) + " KL(⇡|↵ ⌦ ) <latexit sha1_base64="e+B/fNdYzdalJh9y65QeUVNPTpc=">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</latexit> W" p (↵, ) def. =
  52. Kernel norms and MMDs " > 0 : in general,

    there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not all us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structu of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gauss sample, the positions of the red dots that make up a model distribution ↵ optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, These registrations are performed in the unit square, with an Earth Move cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 Problem: <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">AABDD3ictVzNchu5EYY3f2vnz06OuUyidcqb8jqSslVJZStVa/1Y1lq2aZOSvbu0XfwZ0bSHHJpDSrK5eog8QK7JI+SW5JpHyBskpxzyAukfYIAhMdMYZeMpSRgQX3ejATS6G6C7k2SYzdbX/3HpvW9881vf/s77l69893vf/8EPr1770VGWzqe9+LCXJun0abeTxclwHB/OhrMkfjqZxp1RN4mfdF9v4+dPTuJpNkzHrdnbSfxs1BmMh8fDXmcGVS+uXmvP4jPALRrTFDCj356/uLq2fmud/kWrhQ1dWFP6XyO9Fv1HtVVfpaqn5mqkYjVWMygnqqMyeL5UG2pdTaDumVpA3RRKQ/o8VufqCmDn0CqGFh2ofQ2/B/D2pa4dwzvSzAjdAy4J/EwBGanrgEmh3RTKyC2iz+dEGWvLaC+IJsr2Fv52Na0R1M7US6iVcKZlKA77MlPH6jfUhyH0aUI12LuepjInraDkkdOrGVCYQB2W+/D5FMo9Qho9R4TJqO+o2w59/k9qibX43tNt5+pfJOV1eCLV1L1PcwoddUL0IxrNOXzG8iTAeQAUYt1HLJ2SrkfU+zG0X0D9A3jOqWR00oVnQbXnlchteHzIbRG5B48PuSciD+DxIQ9EZAMeH7KhkYidks79+CY8PnxT5PwIHh/ykYh8DI8P+VhEHsHjQx6JyC/g8SG/EJF34PEh74jIe/D4kPdEZAseH7IlIg/h8SEPReQuPD7krkaWr9QpPCnRGQqr8jaUizzQUiRQc1uUb4usow+7FbCmeyVYeVXvwF8/didAp3EJdjdg3h2XYOWZtwc20o+VbdFd2k182Lsidh9mgB+7L2I/U69KsJ8FrLTXJVh5rR1AOz9Wtr734c2PvS9iH0DJj5X3qIdQ48c+DNgxJiXYhoh9pN6UYEOs/rQEK9v9JtgVP1bep1rQ3o8NsabzEqxsT4/Ag/Fj5d3qCdT6sU9E7FN1VoJ9KmI/B+vux34esMO+K8GaPfYK7SAD8kdiWLFV1Dr5qsTSBKh1BP5Jvrck5Bt3oV7CDHLMgDAjEbGXI/YCEQc54iBYriy3oxn5uzKXZo5oBiK6+d6EpZnYvp+3x1ISgNjJETtLiCqPFMfa9OWEvAtTIyFn+c6FpZA+pbn9xlKs50O15TWIhwUEz+2XNPNvUrSEERRqqoray3yPZ2RE71WIU4reTC8NDxk3y62CizoTUV0Pqiui3npQb0XU3IOai6gTD+pERNmV7+LaATPA6h/HYkFvPAPYRy5/IvAKbsOucxfWaATzpwFe4GOqeQh/mxR7S0+VZBjN4z6JWY5nBUs8hdJCrUG9jQp3KL5OaIXFIBm3fKhjfHzD3MZCrzm2wuf5Th7lGZNwOkOSZ5DTQW8xovVUj849qjkn745L9fB383VvSvXwu6Txc/LiuVQPP9PSzy4ge0tjWxfANmE1TbT2bbkuDc6/MA1TvkK7LlpcHNWRnjNI76wm/X09MvsXGJdtKrF+bLkejczpX1boXx0aVs+Zo+d6VNB7Yq/XlKLaPRnruNeW68qQ0i461nLYt7ojg236emRMuR6NBnhc2xRzL5xy3dk7yXtjy/VoHCnOe56TJ2/K9WgM6J31Ycv1aGC2paPjfFuua9lRAxw723Jdqz6mLDDmgHjOc431iqbkJ801tSH5B9XZGtfnX93HMGfzPI8RqilZ37acTjffy6olMv5CDFZtVlMO9C/mjg9WpLFQm2J8xTLMCvv7Kh27x6PmD0CLEax+PgOQcuYJSGhyEmi9E6C4IUZdxZ4Z3KaIw1lyvIRq69qZ6C1avpw1Kta9oFopLrO9tXpsk73OaO5NyCc8IM1KejgoHeEyipKGDgoakunV0d07vV6L2l8XcZMlxCSfaT06EeKTtOo41af1pqPj6/qUZwYPn/nY+YvZ5mNtbTDmSckWoSxVPN12Jo/k1uG+elPZHDd/FtGIor06IasxpBOpTIxCTbaYvfEFvVvah3QmhzyYRg/GMdJUJopPzTCLjvn0iCyqa28l3qgvk6HjckZW19jjavTAQQ886PoxzjbsGA+g1IKY4RDeWgFRzpVcVylpfKo+yk9HUxrB6og+KVhIQ4PtTVywkFVR9ssClVNA42zgKD2cxjIdg2+vUJKjfp88NnYtWv7rdHJrzrc7NMfLZ3N5JqZPXDeJa0Srhk91+W2ZA0uw8H6ySf5rdS+RXx2OaEMlrs8dzqyXMZ34xxTBTsgzTmi1Sauj2NrNTy1/Yjg1lDk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidYe7d+HydoTjHrB83VHyrwc63mGzZnPgbuu7qymgucsTA+8D50tw2OjkgXzAmrlNt3e3art59EGnvSbizhCnauXKD+H9Iv82PmSdrKzMCNYwjkGlb5xuPlGIW1FGHdvlqG2TaulJ+kMvwXEtt9z8r0wcFyXYo4kJ5cLfuA+cevTMvnCVTkjtbacP7aFU2FylPlvSIvT2mKJ7t/kDvwCj3Tdol12jNtWmWDGAWzPIowrSVssjLfKt5FamH0c7+L9StrotaQ4qRshlc1pCU348pWnOlTGBW8/x9TavJr/XpUqtqPmOaiyNnLX8FtT+F30Zu8x5Gp1uwCls0B5iCfbMa4ZpopUUYr60CLzMzDS37bvnZOWlauTUXia/ZutkY+6Q2lQbNmjOdtTDli9B45dB4FajDFp01Wi2aemOJXoixRUufVobyq8OtVYPyXKQse2QGNQyQ0o2lwqj2RapyjG9Q70Ra6yKtDqxW9zTAXfMhSP9aX17dX+W7e6TukG/TIw+M45c+rdIh+VymtjpSYwrI+WNtX93V36Ya5N4lC4qU+R4nrhg+derRc55L+nO9s6Vk561FMPeWTnUbY2PbVP7VCnJEayKjdWkQH1OLWMvvyhEtWaRbjs8RUea/Qz4V+x3VMbPb2o5JVPAnbLzJq8ry4khhTPqXMm/7K9HrvhO/RhQTzrV33QVa9UcYKTDGZBL8nmVGI4S7HJ8ksEfbJfu5aqf4FG/sSHSLpF6o3wXYGI567Vx355bpsenbL6Alat2Ouq+FzC8J5ijxu8iJXod2tZH2URdL7xej1dG7XPG9Sg/zJb5WH3Nq40YWNsorYtrqk2AuLFE9LowJ4VKvF3Xkryd5HZn5dCqUsmltKBczDWxjXlK8JN0DRYTPu7vh9eY+FPrRXaHXJaxLjWskSpiNS3V+wLW0mJW6vLIPce3lyt0ocXaisp3CUHd3C2u/2ULGZP0SJeVsuLUre7sQpchZGKbQU3yjtyw+dGl+Ag/+jpQvOjQcQ3KHTfBvb6tttfs13IZ4o8uc0YyoBm1Bfyn27uh+FltU6+iNQ92lH8IhnMcQdC1JP6SdtK7sTFmW3KUeTv+UrMBUxaL0tmX9Prhc5J6scqrTnyFZNrk3Q2W+i1O3L4ZDSE+KXML58LmG1ItjZb7TVK8PhrrcgyKHOjzMPYawMbet6/NyOVXra5VLKA/eBcyJi8HhyV95rGLbhVioqTMiXz8HtA7HFdTNbvG/9sPwsZzq8wrlltF3zV4FjDq3i3VGFv3h+mvGcguZzeUcw3mmee+st+Tnx35fVGukUqc3Xz999EftHDC8ForzoLJ0jHdnkZU3lAqeC/hkSNW/1V8vyd9GeJPTKJOjDiVzTlFOzbSQqZlvXPp6Zz4LkcnSKZOpSM3GEU26Ebut9tUd+NnOPcC6t0P5u5T8F7H+78/2ofaYrIfJonPmoE11MWU/7Clan97t/dkyifEuL9/tbUENnoUfUC3e831A7fGub6vQt/JvkPBav69S1S9EJMune3ZddaEHxZM3zgGZ7/lGdJees1h882wUcLZo7k8tS7SgT+SbBd1SfNeRskdzdaLP6vHkAG/Yd/L8UKR+SXUdbedxz5U4N0o5N5Y4Z6SdIocz57Pqu1llXLYdLv08d3ai26UUZ9vzvOrc6E4pF76DXo0fVOAHjpRN0v5rioSnqjqbN6+gOdcyuSesY2UykawHjDM7+XhXR7YnFbxOAvp/rxR9z5F0D2TpUv47ohO2KdFLtG52SXq+6VidSb1bIa35HiXTtHcd7Twwtxars/SJnnecuTD/G8GC1gPupuZmopQ9iUvodOlGYEyU+I5kNaVjQZ5jkcJAlETP1BdX1zaW/x+I1cLR5q2N9VsbjzbXPt3S/0fE++on6mfqBtjHX6tPYSQa6hA4nao/qD+qP239fuvPW3/Z+hs3fe+SxvxYFf5t/f2/omDolQ==</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> " <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">AABDBHictVxLcxu5EYY3r7Xz8ibHXCbROuVNOYrkuCqp2krVWg/LWss2bVKyd5e2i48hTXvIoTmk/ODqmh+Qa/ITckvlmvyO/IPklEP+QPoBDDAkZhqjOJ6ShAHxdTcaQKO7Abo7TUbZfGvrHxc++MY3v/Xt73x48dJ3v/f9H/zw8kc/OsnSxawXH/fSJJ097nayOBlN4uP5aJ7Ej6ezuDPuJvGj7std/PzRaTzLRumkNX87jZ+MO8PJaDDqdeZQ9bgdT7NRkk6eXd7Y2tyif9F6YVsXNpT+10g/iv6j2qqvUtVTCzVWsZqoOZQT1VEZPF+pbbWlplD3RC2hbgalEX0eqzN1CbALaBVDiw7UvoTfQ3j7StdO4B1pZoTuAZcEfmaAjNQVwKTQbgZl5BbR5wuijLVltJdEE2V7C3+7mtYYaufqOdRKONMyFId9mauB+i31YQR9mlIN9q6nqSxIKyh55PRqDhSmUIflPnw+g3KPkEbPEWEy6jvqtkOf/5NaYi2+93TbhfoXSXkFnkg1de/TnEJHnRL9iEZzAZ+xPAlwHgKFWPcRS69J12Pq/QTaL6H+HjxnVDI66cKzpNqzSuQuPD7krog8gMeHPBCRR/D4kEcisgGPD9nQSMTOSOd+fBMeH74pcn4Ajw/5QEQ+hMeHfCgiT+DxIU9E5Jfw+JBfishb8PiQt0TkHXh8yDsisgWPD9kSkcfw+JDHInIfHh9yXyPLV+oMnpTojIRVeRPKRR5oKRKouSnKt0PW0YfdCVjTvRKsvKr34K8fuxeg07gEux8w7wYlWHnmHYCN9GNlW3SbdhMf9raIPYQZ4MceitjP1YsS7OcBK+1lCVZea0fQzo+Vre9dePNj74rYe1DyY+U96j7U+LH3A3aMaQm2IWIfqFcl2BCrPyvByna/CXbFj5X3qRa092NDrOmiBCvb0xPwYPxYebd6BLV+7CMR+1i9KcE+FrFfgHX3Y78I2GHflWDNHnuJdpAh+SMxrNgqap18VWJpCtQ6Av8k31sS8o27UC9hhjlmSJixiDjIEQeBiKMccRQsV5bb0Yz8XZlLM0c0AxHdfG/C0lxs38/bYykJQOzliL0VRJVHimNt+nJK3oWpkZDzfOfCUkif0tx+YynW86Ha8hrE/QKC5/ZzmvnXKFrCCAo1VUXteb7HMzKi9yrEa4reTC8NDxk3z62Ci3ojoroeVFdEvfWg3oqohQe1EFGnHtSpiLIr38W1A2aA1T+OxZLeeAawj1z+ROAV3IRd5zas0QjmTwO8wIdUcx/+Nin2lp4qyTCax30SsxxPCpZ4BqWl2oB6GxXuUXyd0AqLQTJueV/H+PiGuY2lXnNshc/ynTzKMybhdEYkzzCng95iROupHp07VHNG3h2X6uFv5+velOrh90njZ+TFc6kefq6ln59D9pbGts6BbcJqmmrt23JdGpx/YRqmfIl2XbS4OKpjPWeQ3pua9A/1yByeY1x2qcT6seV6NDKnf1mhf3VoWD1njp7rUUHvib1eU4pq92Si415britDSrvoRMth3+qODLbp65Ex5Xo0GuBx7VLMvXTKdWfvNO+NLdejcaI473lGnrwp16MxpHfWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqEssCYA+I5zzXWK5qRn7TQ1EbkH1Rna1yff30fw5zN0zxGqKZkfdtyOt18L6uWyPgLMVi1eU050L9YOD5YkcZSXRfjK5ZhXtjf1+nYPR41fwRajGD18xmAlDNPQEKTk0DrnQDFbTHqKvbM4K6LOJwlgxVUW9fORW/R8uWsUbHuGdVKcZntrdVjm+x1RnNvSj7hEWlW0sNR6QiXUZQ0dFTQkEyvju7e6fVa1P6WiJuuIKb5TOvRiRCfpFXHqT6tNx0dX9GnPHN4+MzHzl/MNg+0tcGYJyVbhLJU8XTbmTySW4f76jVlc9z8WUQjivbqlKzGiE6kMjEKNdli9saX9G5pH9OZHPJgGj0Yx0hTmSo+NcMsOubTI7Korr2VeKO+TIaOyxlZXWOPq9FDBz30oOvHOLuwY9yDUgtihmN4awVEOZdyXaWk8Zn6ZX46mtIIVkf0ScFCGhpsb+KChayKsp8XqLwGNM4GjtLDaazSMfj2GiU56vfJY2PXouW/Qie35ny7Q3O8fDaXZ2L6xPU6cY1o1fCpLr+tcmAJlt5PrpP/Wt1L5FeHI9pQietThzPrZUIn/jFFsFPyjBNabdLqKLZ281OrnxhODWXOzvE0OyULGZH9i2B/SmlORvTj3h0wJ+hsERKykSF2Z5R7Nz5fZyTOMevHjRTfarDzLSZbtiD+hq67ujKaixwx8D5wtjK3jU6OyBeMietMW3e7tqt3H0TaexLuLGGKdq5cJf6f0G/zY+bJxtqMQA3jCGTa1vnGI6WYBXXUoV2+2gaZtq6UH+cyPNVS2/3PyvRxQbI9irhQHtyt+8C5R+/MC2fJjOTO1trwPlqVzUXK0xU9Ym8HFMWz3R/qHRjlvka75AatuTbNkiHMgnkeRZi2UhZ5lW81ryL1MNrZ/4W61XVRa0gxUjaDyxqS8vsxRWuulAnMap6/L2k1+bU+W2lVzWdCc3HsrOWvofan8NvIbd7D6HQLVmGH5gBTsG9WI1wTrbUI47VT4GVmpqFl3y0/OydNK7fmPPE1WzcbY5/WptKgWfNGZy1M+Tw0Xjg0XgTqsEVnjVaLpt5YomdibNHSp5Wh/Opwa9WgvBApyx6ZQY0CpHRjqTCqfZGqHOMb1DuR1pZIqwOr1T0NcNd8CNK/1ldX99f57h6pW+Tb9MgD4/ilT6t0RD6Xqa2O1JgCcr6h7au7+ttUg9y7ZEGRMt/jxBXDp049es5ySX+ud7aU7Ly1CObe0mvdxtjYNpV/vYYc05rIaF0axA1qEWv5XTmiFYu06fgcEWX+O+RTsd9RHTO7re2YRAV/wsabvKosL44UJqR/KfN2uBa9Hjrxa0Qx4UJ7112gVX+EkQJjTCbB71lmNEK4y/FJAnu0XbKf63aKT/EmjkSbJPVS/S7AxnDUa+e6O7dMj03ffgEtUet21H0tZH5JMEeJ33lO9Dq0q421j7pceT8frY7e5YrvVXpYrPC1+lhQGzeysFFeEdNWnwZzYYnqcWFMCJd6vagjfz3J68jMp1OhlE1rQ7mYaWAb85ziJekeKCJ83t1Vrzf3idCP7hq9LmFdalwjUcJsXKrzA66lxazUxbV9iGsvVu5GibMTle0Uhrq7W1j7zRYyJuuXKClnw61d2duFKEXOwjCFnuIbvWXxoUvzU3jwd6R80aHhGJI7bIJ/e1Ptqv33cBvilS5zRjOiGrQF/ZXYu6P7WWxRraNXDnWXfgiHcB4j0LUk/Yh20rqyM2VZcpd6OP3XZAVmKhalty3r98HlIvdknVOd/ozIssm9GSnzXZy6fTEcQnpS5BLOh881pF4MlPlOU70+GOpyD4oc6vAw9xjCxty2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYptF2KhZs6IvH8OaB0GFdTNbvG/9sPwsZzq8wrlltF3zV4EjDq3i3VGFv3h+mvGcguZzeUcw3mmee+st+Tnx35fVGukUqc3758++qN2DhheS8V5UFk6xruzyMobSgXPBXwypOrf6u8X5G8jvMpplMlRh5I5pyinZlrI1Mw3Ln29M5+FyGTplMlUpGbjiCbdiN1Vh+oW/OzmHmDd26H8XUr+i1j/92f7UDsg62Gy6Jw5aFNdTNkPe4rWp3d7f7ZMYrzLy3d7W1CDZ+FHVIv3fO9Re7zr2yr0rfwbJLzW76pU9QsRyerpnl1XXehB8eSNc0Dme74R3aXnLBbfPBsHnC2a+1OrEi3pE/lmQbcU33Wk7NFcneqzejw5wBv2nTw/FKlfUV1H23nccyXOjVLOjRXOGWmnyOGN81n13awyLrsOl36eOzvV7VKKs+15XnVudK+UC99Br8YPK/BDR8omaf8lRcIzVZ3NW1TQXGiZ3BPWiTKZSNYDxpmdfLyrI9vTCl6nAf2/U4q+40h6ALJ0Kf8d0QnbjOglWjf7JD3fdKzOpN6ukNZ8j5Jp2ruOdh6YW4vVWfpEzzvOXJj/jWBJ6wF3U3MzUcqexCV0unQjMCZKfEeymtJAkGcgUhiKkuiZ+uzyxvbq/wOxXji5vrm9tbn94MbGZzv6/4j4UP1E/UxdBfv4G/UZjERDHdO+8gf1R/Wnnd/v/HnnLzt/5aYfXNCYH6vCv52//RcvG+Rh</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">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</latexit> min ⇡1=↵,⇡2= R X2 d(x, y)pd⇡(x, y) + " KL(⇡|↵ ⌦ ) <latexit sha1_base64="e+B/fNdYzdalJh9y65QeUVNPTpc=">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</latexit> W" p (↵, ) def. = <latexit sha1_base64="iAvjwgilPahhMA7Jt0rycZ4xuuI=">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</latexit> for k(x, y) = d(x, y)p and <latexit sha1_base64="Gp6WNxgbw+WZiDhK1JeM+2KyYQw=">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</latexit> h↵, ik def. = R k(x, y)d↵(x)d (y) <latexit sha1_base64="jUuHeag0cMWTMzn6i/nFOuOQsGw=">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</latexit> Prop.: <latexit sha1_base64="Z9viaJYNN0v3uD+xJWul1NvAVOg=">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</latexit> ⇡(") "!+1 ! ↵ ⌦ <latexit sha1_base64="BylErjXdyBQe3QLJ7fCVOMMRbPM=">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</latexit> W" p (↵, )p "!+1 ! h↵, ik
  53. Kernel norms and MMDs " > 0 : in general,

    there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not all us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structu of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gauss sample, the positions of the red dots that make up a model distribution ↵ optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, These registrations are performed in the unit square, with an Earth Move cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 Problem: <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> <latexit sha1_base64="6+uaoGEaT2UGT2pHQhLHgztd+tI=">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</latexit> " <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">AABDBHictVxLcxu5EYY3r7Xz8ibHXCbROuVNOYrkuCqp2krVWg/LWss2bVKyd5e2i48hTXvIoTmk/ODqmh+Qa/ITckvlmvyO/IPklEP+QPoBDDAkZhqjOJ6ShAHxdTcaQKO7Abo7TUbZfGvrHxc++MY3v/Xt73x48dJ3v/f9H/zw8kc/OsnSxawXH/fSJJ097nayOBlN4uP5aJ7Ej6ezuDPuJvGj7std/PzRaTzLRumkNX87jZ+MO8PJaDDqdeZQ9bgdT7NRkk6eXd7Y2tyif9F6YVsXNpT+10g/iv6j2qqvUtVTCzVWsZqoOZQT1VEZPF+pbbWlplD3RC2hbgalEX0eqzN1CbALaBVDiw7UvoTfQ3j7StdO4B1pZoTuAZcEfmaAjNQVwKTQbgZl5BbR5wuijLVltJdEE2V7C3+7mtYYaufqOdRKONMyFId9mauB+i31YQR9mlIN9q6nqSxIKyh55PRqDhSmUIflPnw+g3KPkEbPEWEy6jvqtkOf/5NaYi2+93TbhfoXSXkFnkg1de/TnEJHnRL9iEZzAZ+xPAlwHgKFWPcRS69J12Pq/QTaL6H+HjxnVDI66cKzpNqzSuQuPD7krog8gMeHPBCRR/D4kEcisgGPD9nQSMTOSOd+fBMeH74pcn4Ajw/5QEQ+hMeHfCgiT+DxIU9E5Jfw+JBfishb8PiQt0TkHXh8yDsisgWPD9kSkcfw+JDHInIfHh9yXyPLV+oMnpTojIRVeRPKRR5oKRKouSnKt0PW0YfdCVjTvRKsvKr34K8fuxeg07gEux8w7wYlWHnmHYCN9GNlW3SbdhMf9raIPYQZ4MceitjP1YsS7OcBK+1lCVZea0fQzo+Vre9dePNj74rYe1DyY+U96j7U+LH3A3aMaQm2IWIfqFcl2BCrPyvByna/CXbFj5X3qRa092NDrOmiBCvb0xPwYPxYebd6BLV+7CMR+1i9KcE+FrFfgHX3Y78I2GHflWDNHnuJdpAh+SMxrNgqap18VWJpCtQ6Av8k31sS8o27UC9hhjlmSJixiDjIEQeBiKMccRQsV5bb0Yz8XZlLM0c0AxHdfG/C0lxs38/bYykJQOzliL0VRJVHimNt+nJK3oWpkZDzfOfCUkif0tx+YynW86Ha8hrE/QKC5/ZzmvnXKFrCCAo1VUXteb7HMzKi9yrEa4reTC8NDxk3z62Ci3ojoroeVFdEvfWg3oqohQe1EFGnHtSpiLIr38W1A2aA1T+OxZLeeAawj1z+ROAV3IRd5zas0QjmTwO8wIdUcx/+Nin2lp4qyTCax30SsxxPCpZ4BqWl2oB6GxXuUXyd0AqLQTJueV/H+PiGuY2lXnNshc/ynTzKMybhdEYkzzCng95iROupHp07VHNG3h2X6uFv5+velOrh90njZ+TFc6kefq6ln59D9pbGts6BbcJqmmrt23JdGpx/YRqmfIl2XbS4OKpjPWeQ3pua9A/1yByeY1x2qcT6seV6NDKnf1mhf3VoWD1njp7rUUHvib1eU4pq92Si415britDSrvoRMth3+qODLbp65Ex5Xo0GuBx7VLMvXTKdWfvNO+NLdejcaI473lGnrwp16MxpHfWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqEssCYA+I5zzXWK5qRn7TQ1EbkH1Rna1yff30fw5zN0zxGqKZkfdtyOt18L6uWyPgLMVi1eU050L9YOD5YkcZSXRfjK5ZhXtjf1+nYPR41fwRajGD18xmAlDNPQEKTk0DrnQDFbTHqKvbM4K6LOJwlgxVUW9fORW/R8uWsUbHuGdVKcZntrdVjm+x1RnNvSj7hEWlW0sNR6QiXUZQ0dFTQkEyvju7e6fVa1P6WiJuuIKb5TOvRiRCfpFXHqT6tNx0dX9GnPHN4+MzHzl/MNg+0tcGYJyVbhLJU8XTbmTySW4f76jVlc9z8WUQjivbqlKzGiE6kMjEKNdli9saX9G5pH9OZHPJgGj0Yx0hTmSo+NcMsOubTI7Korr2VeKO+TIaOyxlZXWOPq9FDBz30oOvHOLuwY9yDUgtihmN4awVEOZdyXaWk8Zn6ZX46mtIIVkf0ScFCGhpsb+KChayKsp8XqLwGNM4GjtLDaazSMfj2GiU56vfJY2PXouW/Qie35ny7Q3O8fDaXZ2L6xPU6cY1o1fCpLr+tcmAJlt5PrpP/Wt1L5FeHI9pQietThzPrZUIn/jFFsFPyjBNabdLqKLZ281OrnxhODWXOzvE0OyULGZH9i2B/SmlORvTj3h0wJ+hsERKykSF2Z5R7Nz5fZyTOMevHjRTfarDzLSZbtiD+hq67ujKaixwx8D5wtjK3jU6OyBeMietMW3e7tqt3H0TaexLuLGGKdq5cJf6f0G/zY+bJxtqMQA3jCGTa1vnGI6WYBXXUoV2+2gaZtq6UH+cyPNVS2/3PyvRxQbI9irhQHtyt+8C5R+/MC2fJjOTO1trwPlqVzUXK0xU9Ym8HFMWz3R/qHRjlvka75AatuTbNkiHMgnkeRZi2UhZ5lW81ryL1MNrZ/4W61XVRa0gxUjaDyxqS8vsxRWuulAnMap6/L2k1+bU+W2lVzWdCc3HsrOWvofan8NvIbd7D6HQLVmGH5gBTsG9WI1wTrbUI47VT4GVmpqFl3y0/OydNK7fmPPE1WzcbY5/WptKgWfNGZy1M+Tw0Xjg0XgTqsEVnjVaLpt5YomdibNHSp5Wh/Opwa9WgvBApyx6ZQY0CpHRjqTCqfZGqHOMb1DuR1pZIqwOr1T0NcNd8CNK/1ldX99f57h6pW+Tb9MgD4/ilT6t0RD6Xqa2O1JgCcr6h7au7+ttUg9y7ZEGRMt/jxBXDp049es5ySX+ud7aU7Ly1CObe0mvdxtjYNpV/vYYc05rIaF0axA1qEWv5XTmiFYu06fgcEWX+O+RTsd9RHTO7re2YRAV/wsabvKosL44UJqR/KfN2uBa9Hjrxa0Qx4UJ7112gVX+EkQJjTCbB71lmNEK4y/FJAnu0XbKf63aKT/EmjkSbJPVS/S7AxnDUa+e6O7dMj03ffgEtUet21H0tZH5JMEeJ33lO9Dq0q421j7pceT8frY7e5YrvVXpYrPC1+lhQGzeysFFeEdNWnwZzYYnqcWFMCJd6vagjfz3J68jMp1OhlE1rQ7mYaWAb85ziJekeKCJ83t1Vrzf3idCP7hq9LmFdalwjUcJsXKrzA66lxazUxbV9iGsvVu5GibMTle0Uhrq7W1j7zRYyJuuXKClnw61d2duFKEXOwjCFnuIbvWXxoUvzU3jwd6R80aHhGJI7bIJ/e1Ptqv33cBvilS5zRjOiGrQF/ZXYu6P7WWxRraNXDnWXfgiHcB4j0LUk/Yh20rqyM2VZcpd6OP3XZAVmKhalty3r98HlIvdknVOd/ozIssm9GSnzXZy6fTEcQnpS5BLOh881pF4MlPlOU70+GOpyD4oc6vAw9xjCxty2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYptF2KhZs6IvH8OaB0GFdTNbvG/9sPwsZzq8wrlltF3zV4EjDq3i3VGFv3h+mvGcguZzeUcw3mmee+st+Tnx35fVGukUqc3758++qN2DhheS8V5UFk6xruzyMobSgXPBXwypOrf6u8X5G8jvMpplMlRh5I5pyinZlrI1Mw3Ln29M5+FyGTplMlUpGbjiCbdiN1Vh+oW/OzmHmDd26H8XUr+i1j/92f7UDsg62Gy6Jw5aFNdTNkPe4rWp3d7f7ZMYrzLy3d7W1CDZ+FHVIv3fO9Re7zr2yr0rfwbJLzW76pU9QsRyerpnl1XXehB8eSNc0Dme74R3aXnLBbfPBsHnC2a+1OrEi3pE/lmQbcU33Wk7NFcneqzejw5wBv2nTw/FKlfUV1H23nccyXOjVLOjRXOGWmnyOGN81n13awyLrsOl36eOzvV7VKKs+15XnVudK+UC99Br8YPK/BDR8omaf8lRcIzVZ3NW1TQXGiZ3BPWiTKZSNYDxpmdfLyrI9vTCl6nAf2/U4q+40h6ALJ0Kf8d0QnbjOglWjf7JD3fdKzOpN6ukNZ8j5Jp2ruOdh6YW4vVWfpEzzvOXJj/jWBJ6wF3U3MzUcqexCV0unQjMCZKfEeymtJAkGcgUhiKkuiZ+uzyxvbq/wOxXji5vrm9tbn94MbGZzv6/4j4UP1E/UxdBfv4G/UZjERDHdO+8gf1R/Wnnd/v/HnnLzt/5aYfXNCYH6vCv52//RcvG+Rh</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">AABDBHictVxLcxu5EYY3r7Xz8ibHXCbROuVNOYrkuCqp2krVWg/LWss2bVKyd5e2i48hTXvIoTmk/ODqmh+Qa/ITckvlmvyO/IPklEP+QPoBDDAkZhqjOJ6ShAHxdTcaQKO7Abo7TUbZfGvrHxc++MY3v/Xt73x48dJ3v/f9H/zw8kc/OsnSxawXH/fSJJ097nayOBlN4uP5aJ7Ej6ezuDPuJvGj7std/PzRaTzLRumkNX87jZ+MO8PJaDDqdeZQ9bgdT7NRkk6eXd7Y2tyif9F6YVsXNpT+10g/iv6j2qqvUtVTCzVWsZqoOZQT1VEZPF+pbbWlplD3RC2hbgalEX0eqzN1CbALaBVDiw7UvoTfQ3j7StdO4B1pZoTuAZcEfmaAjNQVwKTQbgZl5BbR5wuijLVltJdEE2V7C3+7mtYYaufqOdRKONMyFId9mauB+i31YQR9mlIN9q6nqSxIKyh55PRqDhSmUIflPnw+g3KPkEbPEWEy6jvqtkOf/5NaYi2+93TbhfoXSXkFnkg1de/TnEJHnRL9iEZzAZ+xPAlwHgKFWPcRS69J12Pq/QTaL6H+HjxnVDI66cKzpNqzSuQuPD7krog8gMeHPBCRR/D4kEcisgGPD9nQSMTOSOd+fBMeH74pcn4Ajw/5QEQ+hMeHfCgiT+DxIU9E5Jfw+JBfishb8PiQt0TkHXh8yDsisgWPD9kSkcfw+JDHInIfHh9yXyPLV+oMnpTojIRVeRPKRR5oKRKouSnKt0PW0YfdCVjTvRKsvKr34K8fuxeg07gEux8w7wYlWHnmHYCN9GNlW3SbdhMf9raIPYQZ4MceitjP1YsS7OcBK+1lCVZea0fQzo+Vre9dePNj74rYe1DyY+U96j7U+LH3A3aMaQm2IWIfqFcl2BCrPyvByna/CXbFj5X3qRa092NDrOmiBCvb0xPwYPxYebd6BLV+7CMR+1i9KcE+FrFfgHX3Y78I2GHflWDNHnuJdpAh+SMxrNgqap18VWJpCtQ6Av8k31sS8o27UC9hhjlmSJixiDjIEQeBiKMccRQsV5bb0Yz8XZlLM0c0AxHdfG/C0lxs38/bYykJQOzliL0VRJVHimNt+nJK3oWpkZDzfOfCUkif0tx+YynW86Ha8hrE/QKC5/ZzmvnXKFrCCAo1VUXteb7HMzKi9yrEa4reTC8NDxk3z62Ci3ojoroeVFdEvfWg3oqohQe1EFGnHtSpiLIr38W1A2aA1T+OxZLeeAawj1z+ROAV3IRd5zas0QjmTwO8wIdUcx/+Nin2lp4qyTCax30SsxxPCpZ4BqWl2oB6GxXuUXyd0AqLQTJueV/H+PiGuY2lXnNshc/ynTzKMybhdEYkzzCng95iROupHp07VHNG3h2X6uFv5+velOrh90njZ+TFc6kefq6ln59D9pbGts6BbcJqmmrt23JdGpx/YRqmfIl2XbS4OKpjPWeQ3pua9A/1yByeY1x2qcT6seV6NDKnf1mhf3VoWD1njp7rUUHvib1eU4pq92Si415britDSrvoRMth3+qODLbp65Ex5Xo0GuBx7VLMvXTKdWfvNO+NLdejcaI473lGnrwp16MxpHfWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqEssCYA+I5zzXWK5qRn7TQ1EbkH1Rna1yff30fw5zN0zxGqKZkfdtyOt18L6uWyPgLMVi1eU050L9YOD5YkcZSXRfjK5ZhXtjf1+nYPR41fwRajGD18xmAlDNPQEKTk0DrnQDFbTHqKvbM4K6LOJwlgxVUW9fORW/R8uWsUbHuGdVKcZntrdVjm+x1RnNvSj7hEWlW0sNR6QiXUZQ0dFTQkEyvju7e6fVa1P6WiJuuIKb5TOvRiRCfpFXHqT6tNx0dX9GnPHN4+MzHzl/MNg+0tcGYJyVbhLJU8XTbmTySW4f76jVlc9z8WUQjivbqlKzGiE6kMjEKNdli9saX9G5pH9OZHPJgGj0Yx0hTmSo+NcMsOubTI7Korr2VeKO+TIaOyxlZXWOPq9FDBz30oOvHOLuwY9yDUgtihmN4awVEOZdyXaWk8Zn6ZX46mtIIVkf0ScFCGhpsb+KChayKsp8XqLwGNM4GjtLDaazSMfj2GiU56vfJY2PXouW/Qie35ny7Q3O8fDaXZ2L6xPU6cY1o1fCpLr+tcmAJlt5PrpP/Wt1L5FeHI9pQietThzPrZUIn/jFFsFPyjBNabdLqKLZ281OrnxhODWXOzvE0OyULGZH9i2B/SmlORvTj3h0wJ+hsERKykSF2Z5R7Nz5fZyTOMevHjRTfarDzLSZbtiD+hq67ujKaixwx8D5wtjK3jU6OyBeMietMW3e7tqt3H0TaexLuLGGKdq5cJf6f0G/zY+bJxtqMQA3jCGTa1vnGI6WYBXXUoV2+2gaZtq6UH+cyPNVS2/3PyvRxQbI9irhQHtyt+8C5R+/MC2fJjOTO1trwPlqVzUXK0xU9Ym8HFMWz3R/qHRjlvka75AatuTbNkiHMgnkeRZi2UhZ5lW81ryL1MNrZ/4W61XVRa0gxUjaDyxqS8vsxRWuulAnMap6/L2k1+bU+W2lVzWdCc3HsrOWvofan8NvIbd7D6HQLVmGH5gBTsG9WI1wTrbUI47VT4GVmpqFl3y0/OydNK7fmPPE1WzcbY5/WptKgWfNGZy1M+Tw0Xjg0XgTqsEVnjVaLpt5YomdibNHSp5Wh/Opwa9WgvBApyx6ZQY0CpHRjqTCqfZGqHOMb1DuR1pZIqwOr1T0NcNd8CNK/1ldX99f57h6pW+Tb9MgD4/ilT6t0RD6Xqa2O1JgCcr6h7au7+ttUg9y7ZEGRMt/jxBXDp049es5ySX+ud7aU7Ly1CObe0mvdxtjYNpV/vYYc05rIaF0axA1qEWv5XTmiFYu06fgcEWX+O+RTsd9RHTO7re2YRAV/wsabvKosL44UJqR/KfN2uBa9Hjrxa0Qx4UJ7112gVX+EkQJjTCbB71lmNEK4y/FJAnu0XbKf63aKT/EmjkSbJPVS/S7AxnDUa+e6O7dMj03ffgEtUet21H0tZH5JMEeJ33lO9Dq0q421j7pceT8frY7e5YrvVXpYrPC1+lhQGzeysFFeEdNWnwZzYYnqcWFMCJd6vagjfz3J68jMp1OhlE1rQ7mYaWAb85ziJekeKCJ83t1Vrzf3idCP7hq9LmFdalwjUcJsXKrzA66lxazUxbV9iGsvVu5GibMTle0Uhrq7W1j7zRYyJuuXKClnw61d2duFKEXOwjCFnuIbvWXxoUvzU3jwd6R80aHhGJI7bIJ/e1Ptqv33cBvilS5zRjOiGrQF/ZXYu6P7WWxRraNXDnWXfgiHcB4j0LUk/Yh20rqyM2VZcpd6OP3XZAVmKhalty3r98HlIvdknVOd/ozIssm9GSnzXZy6fTEcQnpS5BLOh881pF4MlPlOU70+GOpyD4oc6vAw9xjCxty2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYptF2KhZs6IvH8OaB0GFdTNbvG/9sPwsZzq8wrlltF3zV4EjDq3i3VGFv3h+mvGcguZzeUcw3mmee+st+Tnx35fVGukUqc3758++qN2DhheS8V5UFk6xruzyMobSgXPBXwypOrf6u8X5G8jvMpplMlRh5I5pyinZlrI1Mw3Ln29M5+FyGTplMlUpGbjiCbdiN1Vh+oW/OzmHmDd26H8XUr+i1j/92f7UDsg62Gy6Jw5aFNdTNkPe4rWp3d7f7ZMYrzLy3d7W1CDZ+FHVIv3fO9Re7zr2yr0rfwbJLzW76pU9QsRyerpnl1XXehB8eSNc0Dme74R3aXnLBbfPBsHnC2a+1OrEi3pE/lmQbcU33Wk7NFcneqzejw5wBv2nTw/FKlfUV1H23nccyXOjVLOjRXOGWmnyOGN81n13awyLrsOl36eOzvV7VKKs+15XnVudK+UC99Br8YPK/BDR8omaf8lRcIzVZ3NW1TQXGiZ3BPWiTKZSNYDxpmdfLyrI9vTCl6nAf2/U4q+40h6ALJ0Kf8d0QnbjOglWjf7JD3fdKzOpN6ukNZ8j5Jp2ruOdh6YW4vVWfpEzzvOXJj/jWBJ6wF3U3MzUcqexCV0unQjMCZKfEeymtJAkGcgUhiKkuiZ+uzyxvbq/wOxXji5vrm9tbn94MbGZzv6/4j4UP1E/UxdBfv4G/UZjERDHdO+8gf1R/Wnnd/v/HnnLzt/5aYfXNCYH6vCv52//RcvG+Rh</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">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</latexit> min ⇡1=↵,⇡2= R X2 d(x, y)pd⇡(x, y) + " KL(⇡|↵ ⌦ ) <latexit sha1_base64="e+B/fNdYzdalJh9y65QeUVNPTpc=">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</latexit> W" p (↵, ) def. = Kernel norms (MMD): <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</latexit> <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">AABEMnictVzdbxu5EWeuX5f0K9c+tg979aVIijS13QNa9FDgEtlxfHYSJ5Kd3J2SQB9rRclaq2glxYnOKNC/pq8t+t6/o30r+tICBfovdD7IJVfi7nDdNIRtLsXfzHCWHM4MqXTHyTCbrq//9cJ7X/v6N775rfcvXvr2d777ve9f/uAHR1k6m/Tiw16apJPH3U4WJ8NRfDgdTpP48XgSd066Sfyo+7KBnz+ax5NsmI5a0zfj+MlJZzAaHg97nSk0Pbv84/Y0PgXcYi+ejOIkGqWTkyy6evfu1rXfnD27vLZ+Y53+RauVDV1ZU/rfQfrBh79TbdVXqeqpmTpRsRqpKdQT1VEZlC/VhlpXY2h7ohbQNoHakD6P1Zm6BNgZ9IqhRwdaX8LvATx9qVtH8Iw0M0L3gEsCPxNARuoKYFLoN4E6covo8xlRxtYy2guiibK9gb9dTesEWqfqObRKONMzFIdjmapj9WsawxDGNKYWHF1PU5mRVlDyyBnVFCiMoQ3rffh8AvUeIY2eI8JkNHbUbYc+/yf1xFZ87um+M/UvkvIKlEg19ejTnEJHzYl+RG9zBp+xPAlwHgCFWI8Ra69J1yc0+hH0X0D7PShnVDM66UJZUOtZJbIBxYdsiMgdKD7kjojch+JD7ovIAyg+5IFGInZCOvfjm1B8+KbI+QEUH/KBiHwIxYd8KCKPoPiQRyLyCyg+5Bci8jYUH/K2iNyD4kPuicgWFB+yJSIPofiQhyJyG4oPua2R5St1AiUlOkNhVd6EepEHWooEWm6K8t0i6+jD3gpY070SrLyqt+CvH7sVoNO4BLsdMO+OS7DyzNsBG+nHyrboDu0mPuwdEbsLM8CP3RWxn6kXJdjPAlbayxKsvNb2oZ8fK1vfu/Dkx94Vsfeg5sfKe9R9aPFj7wfsGOMS7IGIfaBelWBDrP6kBCvb/SbYFT9W3qda0N+PDbGmsxKsbE+PwIPxY+Xd6hG0+rGPROxjdVqCfSxiPwfr7sd+HrDDvi3Bmj32Eu0gA/JHYlixVdQ6+arE2hiodQT+Sb63JOQbd6FdwgxyzIAwJyJiJ0fsBCL2c8R+sFxZbkcz8ndlLs0c0QxEdPO9CWtTsX8/74+1JACxlSO2lhBVHim+azOWOXkXpkVCTvOdC2shY0pz+421WM+HastrEPcLCJ7bz2nmX6doCSMo1FQVtef5Hs/IiJ6rEK8pejOjNDxk3DS3Ci7qVER1PaiuiHrjQb0RUTMPaiai5h7UXETZle/i2gEzwOof38WCnngGsI9cXiLwCm7CrnMH1mgE8+cAvMCH1HIf/jYp9pZKlWQYzeM+iVmOJwVLPIHaQq1Bu40Ktyi+TmiFxSAZ97yvY3x8wtzGQq85tsJn+U4e5RmTcDpDkmeQ00FvMaL1VI/OHrWckXfHtXr4O/m6N7V6+G3S+Bl58Vyrh59q6afnkL2lsa1zYJuwmsZa+7ZelwbnX5iGqV+iXRctLr7VEz1nkN5pTfq7+s3snuO9NKjG+rH1ejQyZ3xZYXx1aFg9Z46e61FB74m9XlOLao9kpONeW68rQ0q76EjLYZ/qvhns09dvxtTr0TgAj6tBMffCqdedveN8NLZej8aR4rznGXnypl6PxoCeWR+2Xo8GZls6Os639bqWHTXAsbOt17XqI8oCYw6I5zy3WK9oQn7STFMbkn9Qna1xff7VfQxzNk/zGKGakvVty+l0872sWiLjL8Rg1aY15UD/Yub4YEUaC7Upxlcsw7Swv6/SsXs8an4ftBjB6uczAClnnoCEJieB1jsBihti1FUcmcFtijicJcdLqLZunYreouXLWaNi2zNqleIyO1qrxzbZ64zm3ph8wn3SrKSH/dI3XEZR0tB+QUMyvTq6e6vXa1H76yJuvIQY5zOtRydCfJJWHaf6tN50dHxFn/JMofCZj52/mG0+1tYGY56UbBHKUsXT7WfySG4b7qvXlc1x82cRvVG0V3OyGkM6kcrEKNRki9kbX9CzpX1IZ3LIg2n04D1GmspY8akZZtExnx6RRXXtrcQb9WUydFzPyOoae1yNHjjogQddP8ZpwI5xD2otiBkO4akVEOVcynWVksYn6uf56WhKb7A6ok8KFtLQYHsTFyxkVZT9vEDlNaBxNnCUHk5jmY7Bt1coyVG/Tx4buxYt/xU6uTXn2x2a4+WzuTwT0yeum8Q1olXDp7r8tMyBJVh4P9kk/7V6lMivDke0oRLXpw5n1suITvxjimDH5BkntNqk1VHs7eanlj8xnA6UOTvH0+yULGRE9i+C/SmlORnRj3t3wJygs0VIyEaG2J1h7t34fJ2hOMesHzdUfKvBzreYbNmM+Bu67urKaC5yxMD7wNnS3DY62SdfMCauE23d7dqu3n0Qae9JuLOEKdq5cpX4X6Pf5sfMk7WVGYEaxjeQaVvnex8pxSyoow7t8tU2yPR1pfwol+Gpltruf1amjwqSbVHEhfLgbt0Hzj16Zl44SyYkd7bSh/fRqmwuUh4v6RFHe0xRPNv9gd6BUe7rtEuu0Zpr0ywZwCyY5lGE6StlkZf5VvMqUg+jnf1fqFtdF7WGFCNlM7isISm/H1O05kqZwKzm+fuSVpNf65OlXtV8RjQXT5y1/BW0fgi/jdzmOYxOt2AVbtEcYAr2yWqEW6KVHmG8bhV4mZlpaNlny8/OSdPLbTlPfM3WzcbY89pUDmjWnOqshamfh8YLh8aLQB226KzRatG0G0v0TIwtWvq0MpRfHW6tGpRnImXZIzOoYYCUbiwVRrUvUpVjfIN6K9JaF2l1YLW6pwHumg9B+tf68ur+Kt/dI3WbfJseeWAcv/RplQ7J5zKt1ZEaU0DOH2v76q7+NrUg9y5ZUKTM9zhxxfCpU4/KWS7pT/XOlpKdtxbB3Ft6rfsYG9um+i9XkCe0JjJalwbxMfWItfyuHNGSRbrh+BwRZf475FOx31EdM7u97TuJCv6EjTd5VVleHCmMSP9S5m13JXrddeLXiGLCmfauu0Cr/htGCowxmQS/Z5nRG8Jdjk8S2KPtkv1ctVN8ijdyJLpBUi/UbwNsDEe9dq67c8uM2IztZ9ATtW7fuq+HzC8J5ijxO8+JXod2tRPtoy6Wns9Hq6N3ueJzlR5mS3ytPmbUx40sbJRXxLTVJ8FcWKJ6XBgTwqXeKOrIX0/yOjLz6VQoZdPbUC5mGtjGPKd4SboHigifd3fV681dE8bRXaHXJaxLjVskSpiNS3V+wLW0mJW6uLIPcevFyt0ocXaisp3CUHd3C2u/2ULGZP0SJeVsuLcre7sQpchZGKbQU3yjtyw+dGl+AgV/R8oXHRqOIbnDJvi3N1VDbb+D2xCvdJ0zmhG1oC3oL8XeHT3OYo9qHb1yqLv0QziE8xiCriXph7ST1pWdKcuSu9TD6b8mKzBRsSi97Vl/DC4XeSSrnOqMZ0iWTR7NUJnv4tQdi+EQMpIil3A+fK4hjeJYme801RuDoS6PoMihDg9zjyHsndve9Xm5nKr1tcollAfvAubExeDw5K88VrH9QizUxHkj754DWofjCupmt/hfx2H4WE71eYVyy+i7Zi8C3jr3i3VGFv3h+mvGcguZzeUcw3mm+eist+Tnx35fVOtNpc5o3j199EftHDC8ForzoLJ0jHdnkZU3lAqeC/hkSNV/1F8uyN9GeJXTKJOjDiVzTlFOzfSQqZlvXPpGZz4LkcnSKZOpSM3GEU26EdtQu+o2/DRyD7Du7VD+LiX/Raz/+7N9aD0m62Gy6Jw5aFNbTNkPe4rWp2d7f7ZMYrzLy3d7W9CCZ+H71Ir3fO9Rf7zr2yqMrfwbJLzW76pU9QsRyfLpnl1XXRhB8eSNc0Dme74R3aXnLBbfPDsJOFs096eWJVrQJ/LNgm4pvutI2aO5OtZn9XhygDfsO3l+KFK/oLaOtvO450qcD0o5Hyxxzkg7RQ6nzmfVd7PKuDQcLv08dzbX/VKKs+15XnVudKuUC99Br8YPKvADR8omaf8lRcITVZ3Nm1XQnGmZ3BPWkTKZSNYDxpmd/H1XR7bzCl7zgPHvlaL3HEl3QJYu5b8jOmGbEL1E62abpOebjtWZ1DsV0prvUTJNe9fRzgNza7E6S5/oeceZC/O/ESxoPeBuam4mStmTuIROl24ExkSJ70hK5wayPLI0IbJIVGaiJLOAb+/OA2SZB9A5FqQ5FikMREn0Cn52eW1j+f/HWK0cbd7YWL+x8WBz7dNb+v/OeF/9SP1EXYV941fqU5ihB+oQOP1e/UH9Uf2p8efG3xp/b/yDu753QWN+qAr/Gv/+Lz+4JYg=</latexit> <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</latexit> <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</latexit> <latexit sha1_base64="Xbh5T8D/rcSvj+9O6tZvzPBprG8=">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</latexit> W" p (↵, )p "!+1 ! h↵, ik
  54. Sinkhorn Divergences fl [Ramdas, Garc´ ıa Trillos, <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit

    sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> Cuturi, 2017] <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="6lzXbTDPpUQChkRXAFYhOyQ6AzI=">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</latexit> Sinkhorn Divergences:
  55. Sinkhorn Divergences fl [Ramdas, Garc´ ıa Trillos, <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit

    sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">AABB9HictVxLcxu5EYY3r7Xz8ianVC6TaJ3ybjmOpGxVUrWVqpUlWdaatmWTkr27tF18jGjaQw7NIekHV/8jh9xSueYnJMfkL+QfJIdU/kL6AQwwJGYaozhGScKA+LobPUCjuwG6O0mG2Wxz8x8X3vvGN7/17e+8f/HSd7/3/R/88PIHPzrJ0vm0Fx/30iSdPup2sjgZjuPj2XCWxI8m07gz6ibxw+6LXfz84SKeZsN03Jq9mcSPR53BeHg67HVm0JRe/on6Sj1QHTVSffidqWsqUgdQm6qe+jf8jVQL6kOVQEn586eXNzavb9K/aL2ypSsbSv87Sj+IjlUb6KdAcw6cYjVWM6gnxDEDCbbUpppA22O1JN4z4Iifx+pMXQLsHHrF0KMDrS/g9wCevtKtY5I+hjqie8AFJZ0CMlJXAJNCvynUExpNj56RMraW0V4STZTtDfztalojaJ2pZ9Aq4UzPUByOZaZO1W9pDEMY04RacHQ9TWVOWkHJI2dUM6AwgTas9+HzKdR7hDR6jgiT0dhRtx36/J/UE1vxuaf7ztW/SMorUCLV1KNPcwodtSD6Eb3NOXzG8iTAeQAUYj1GrL0iXY9o9GPov4T2u1DOqGZ00oWypNazSuQuFB9yV0QeQPEhD0RkA4oP2RCRR1B8yCONROyUdO7HN6H48E2R830oPuR9EfkAig/5QESeQPEhT0Tkl1B8yC9F5E0oPuRNEXkbig95W0S2oPiQLRF5DMWHPBaR+1B8yH2NLF+pUygp0RkKq3IH6kUeaCkSaNkR5btB1tGHvRGwpnslWHlV78FfP3YvQKdxCXY/YN6dlmDlmXcANtKPlW3RLdpNfNhbIvYQZoAfeyhiP1fPS7CfB6y0FyVYea01oJ8fK1vfO/Dkx94RsXeh5sfKe9Q9aPFj7wXsGJMS7JGIva9elmBDrP60BCvb/SbYFT9W3qda0N+PDbGm8xKsbE9PwIPxY+Xd6iG0+rEPRewj9boE+0jEfgHW3Y/9ImCHfVuCNXvsJdpBBuSPxLBiq6h18lWJtQlQ6wj8k3xvScg37lKcUY0Z5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsS9AoLn9jOa+dcoWsIICjVVRe1ZvsczMqLnKsQrit7MKA0PGTfLrYKLei2iuh5UV0S98aDeiKi5BzUXUQsPaiGi7Mp3ce2AGWD1j+9iSU88A9hHLi8ReAU7sOvcgjUawfw5Ai/wAbXcg79Nir2lUiUZRvO4T2KW43HBEk+htlQb0G6jwj2KrxNaYTFIxj3v6RgfnzC3sdRrjq3wWb6TR3nGJJzOkOQZ5HTQW4xoPdWjc5tazsi741o9/K183ZtaPfw+afyMvHiu1cPPtPSzc8je0tjWObBNWE0TrX1br0uD8y9Mw9Qv0a6LFhff6kjPGaT3uib9Q/1mDs/xXnapxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKzjXluvK0NKu+hYy2Gf6r4Z7NPXb8bU69E4Ao9rl2LupVOvO3sn+WhsvR6NE8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5DFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYnEdM5zBOiVo0pjszgtkUczpLTFVRbt85Eb9Hy5axRse0ptUpxmR2t1WOb7HVGc29CPmGDNCvpoVH6hssoShpqFDQk06uju7d6vRa1vyniJiuIST7TenQixCdp1XGqT+tNR8dX9CnPDAqf+dj5i9nmU21tMOZJyRahLFU83X4mj+S24b56TdkcN38W0RtFe7UgqzGkE6lMjEJNtpi98SU9W9rHdCaHPJhGD95jpKlMFJ+aYRYd8+kRWVTX3kq8UV8mQ8f1jKyuscfV6IGDHnjQ9WOcXdgx7kKtBTHDMTy1AqKcS7muUtL4VP0yPx1N6Q1WR/RJwUIaGmxv4oKFrIqynxWovAI0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9CJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+sThzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK1eJ/0f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5jI80VLb/c/K9GFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8pime7P9A7MMp9jXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Grya3260quaz5jm4shZy19D68/gt5HbPIfR6Raswg2aA0zBPlmNcEu01iOM140CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmtc6a2Hq56Hx3KHxPFCHLTprtFo07cYSPRVji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3oq0NkVaHVit7mmAu+ZDkP61vrq6v85390jdJN+mRx4Yxy99WqVD8rlMa3WkxhSQ8yfavrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+gu9s6Vk561FMPeWXuk+xsa2qf7rNeSI1kRG69IgPqEesZbflSNasUjXHZ8josx/h3wq9juqY2a3t30nUcGfsPEmryrLiyOFMelfyrwdrkWvh078GlFMONfedRdo1X/DSIExJpPg9ywzekO4y/FJAnu0XbKf63aKT/HGjkTXSeql+l2AjeGo1851d26ZEZuxfQw9Uev2rft6yPySYI4Sv/Oc6HVoVxtpH3W58nw+Wh29yxWfq/QwX+Fr9TGnPm5kYaO8IqatPg3mwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25hnFS9I9UET4vLurXm/uI2Ec3TV6XcK61LhFooTZuFTnB1xLi1mpi2v7ELderNyNEmcnKtspDHV3t7D2my1kTNYvUVLOhnu7srcLUYqchWEKPcU3esviQ5fmp1Dwd6R80aHhGJI7bIJ/u6N21f47uA3xUtc5oxlRC9qC/krs3dHjLPao1tFLh7pLP4RDOI8h6FqSfkg7aV3ZmbIsuUs9nP4rsgJTFYvS2571x+BykUeyzqnOeIZk2eTRDJX5Lk7dsRgOISMpcgnnw+ca0ihOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCTZ038u45oHU4raBudov/dRyGj+VUn1cot4y+a/Y84K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5t3TR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/31gvxthJc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGkG7G76lDdhJ/d3AOsezuUv0vJfxHr//5sH1pPyXqYLDpnDtrUFlP2w56i9enZ3p8tkxjv8vLd3ha04Fl4g1rxnu9d6o93fVuFsZV/g4TX+h2Vqn4hIlk93bPrqgsjKJ68cQ7IfM83orv0nMXim2ejgLNFc39qVaIlfSLfLOiW4ruOlD2aqxN9Vo8nB3jDvpPnhyL1K2rraDuPe67E+aiU89EK54y0U+Tw2vms+m5WGZddh0s/z50tdL+U4mx7nledG90r5cJ30Kvxgwr8wJGySdp/QZHwVFVn8+YVNOdaJveEdaxMJpL1gHFmJ3/f1ZHtooLXImD8t0vRtx1JD0CWLuW/IzphmxK9ROtmn6Tnm47VmdRbFdLq71E+vbyxtfp/GaxXTravb21e37q/vfHZDf3/HLyvfqp+rq7CGv+N+gyoHalj4PB79Rf1N/X3ncXOH3b+uPMn7vreBY35sSr82/nzfwGX8atT</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">AABB9HictVxLcxu5EYY3r7Xz8ianVC6TaJ3ybjmOpGxVUrWVqpUlWdaatmWTkr27tF18jGjaQw7NIekHV/8jh9xSueYnJMfkL+QfJIdU/kL6AQwwJGYaozhGScKA+LobPUCjuwG6O0mG2Wxz8x8X3vvGN7/17e+8f/HSd7/3/R/88PIHPzrJ0vm0Fx/30iSdPup2sjgZjuPj2XCWxI8m07gz6ibxw+6LXfz84SKeZsN03Jq9mcSPR53BeHg67HVm0JRe/on6Sj1QHTVSffidqWsqUgdQm6qe+jf8jVQL6kOVQEn586eXNzavb9K/aL2ypSsbSv87Sj+IjlUb6KdAcw6cYjVWM6gnxDEDCbbUpppA22O1JN4z4Iifx+pMXQLsHHrF0KMDrS/g9wCevtKtY5I+hjqie8AFJZ0CMlJXAJNCvynUExpNj56RMraW0V4STZTtDfztalojaJ2pZ9Aq4UzPUByOZaZO1W9pDEMY04RacHQ9TWVOWkHJI2dUM6AwgTas9+HzKdR7hDR6jgiT0dhRtx36/J/UE1vxuaf7ztW/SMorUCLV1KNPcwodtSD6Eb3NOXzG8iTAeQAUYj1GrL0iXY9o9GPov4T2u1DOqGZ00oWypNazSuQuFB9yV0QeQPEhD0RkA4oP2RCRR1B8yCONROyUdO7HN6H48E2R830oPuR9EfkAig/5QESeQPEhT0Tkl1B8yC9F5E0oPuRNEXkbig95W0S2oPiQLRF5DMWHPBaR+1B8yH2NLF+pUygp0RkKq3IH6kUeaCkSaNkR5btB1tGHvRGwpnslWHlV78FfP3YvQKdxCXY/YN6dlmDlmXcANtKPlW3RLdpNfNhbIvYQZoAfeyhiP1fPS7CfB6y0FyVYea01oJ8fK1vfO/Dkx94RsXeh5sfKe9Q9aPFj7wXsGJMS7JGIva9elmBDrP60BCvb/SbYFT9W3qda0N+PDbGm8xKsbE9PwIPxY+Xd6iG0+rEPRewj9boE+0jEfgHW3Y/9ImCHfVuCNXvsJdpBBuSPxLBiq6h18lWJtQlQ6wj8k3xvScg37lKcUY0Z5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsS9AoLn9jOa+dcoWsIICjVVRe1ZvsczMqLnKsQrit7MKA0PGTfLrYKLei2iuh5UV0S98aDeiKi5BzUXUQsPaiGi7Mp3ce2AGWD1j+9iSU88A9hHLi8ReAU7sOvcgjUawfw5Ai/wAbXcg79Nir2lUiUZRvO4T2KW43HBEk+htlQb0G6jwj2KrxNaYTFIxj3v6RgfnzC3sdRrjq3wWb6TR3nGJJzOkOQZ5HTQW4xoPdWjc5tazsi741o9/K183ZtaPfw+afyMvHiu1cPPtPSzc8je0tjWObBNWE0TrX1br0uD8y9Mw9Qv0a6LFhff6kjPGaT3uib9Q/1mDs/xXnapxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKzjXluvK0NKu+hYy2Gf6r4Z7NPXb8bU69E4Ao9rl2LupVOvO3sn+WhsvR6NE8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5DFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYnEdM5zBOiVo0pjszgtkUczpLTFVRbt85Eb9Hy5axRse0ptUpxmR2t1WOb7HVGc29CPmGDNCvpoVH6hssoShpqFDQk06uju7d6vRa1vyniJiuIST7TenQixCdp1XGqT+tNR8dX9CnPDAqf+dj5i9nmU21tMOZJyRahLFU83X4mj+S24b56TdkcN38W0RtFe7UgqzGkE6lMjEJNtpi98SU9W9rHdCaHPJhGD95jpKlMFJ+aYRYd8+kRWVTX3kq8UV8mQ8f1jKyuscfV6IGDHnjQ9WOcXdgx7kKtBTHDMTy1AqKcS7muUtL4VP0yPx1N6Q1WR/RJwUIaGmxv4oKFrIqynxWovAI0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9CJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+sThzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK1eJ/0f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5jI80VLb/c/K9GFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8pime7P9A7MMp9jXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Grya3260quaz5jm4shZy19D68/gt5HbPIfR6Raswg2aA0zBPlmNcEu01iOM140CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmtc6a2Hq56Hx3KHxPFCHLTprtFo07cYSPRVji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3oq0NkVaHVit7mmAu+ZDkP61vrq6v85390jdJN+mRx4Yxy99WqVD8rlMa3WkxhSQ8yfavrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+gu9s6Vk561FMPeWXuk+xsa2qf7rNeSI1kRG69IgPqEesZbflSNasUjXHZ8josx/h3wq9juqY2a3t30nUcGfsPEmryrLiyOFMelfyrwdrkWvh078GlFMONfedRdo1X/DSIExJpPg9ywzekO4y/FJAnu0XbKf63aKT/HGjkTXSeql+l2AjeGo1851d26ZEZuxfQw9Uev2rft6yPySYI4Sv/Oc6HVoVxtpH3W58nw+Wh29yxWfq/QwX+Fr9TGnPm5kYaO8IqatPg3mwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25hnFS9I9UET4vLurXm/uI2Ec3TV6XcK61LhFooTZuFTnB1xLi1mpi2v7ELderNyNEmcnKtspDHV3t7D2my1kTNYvUVLOhnu7srcLUYqchWEKPcU3esviQ5fmp1Dwd6R80aHhGJI7bIJ/u6N21f47uA3xUtc5oxlRC9qC/krs3dHjLPao1tFLh7pLP4RDOI8h6FqSfkg7aV3ZmbIsuUs9nP4rsgJTFYvS2571x+BykUeyzqnOeIZk2eTRDJX5Lk7dsRgOISMpcgnnw+ca0ihOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCTZ038u45oHU4raBudov/dRyGj+VUn1cot4y+a/Y84K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5t3TR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/31gvxthJc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGkG7G76lDdhJ/d3AOsezuUv0vJfxHr//5sH1pPyXqYLDpnDtrUFlP2w56i9enZ3p8tkxjv8vLd3ha04Fl4g1rxnu9d6o93fVuFsZV/g4TX+h2Vqn4hIlk93bPrqgsjKJ68cQ7IfM83orv0nMXim2ejgLNFc39qVaIlfSLfLOiW4ruOlD2aqxN9Vo8nB3jDvpPnhyL1K2rraDuPe67E+aiU89EK54y0U+Tw2vms+m5WGZddh0s/z50tdL+U4mx7nledG90r5cJ30Kvxgwr8wJGySdp/QZHwVFVn8+YVNOdaJveEdaxMJpL1gHFmJ3/f1ZHtooLXImD8t0vRtx1JD0CWLuW/IzphmxK9ROtmn6Tnm47VmdRbFdLq71E+vbyxtfp/GaxXTravb21e37q/vfHZDf3/HLyvfqp+rq7CGv+N+gyoHalj4PB79Rf1N/X3ncXOH3b+uPMn7vreBY35sSr82/nzfwGX8atT</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> Cuturi, 2017] <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">AABBzXictVzbchu5EYU3t7Vz8yaPeZlE65Q35XUkZas2VVupWpmSZa1pS15SsneXtouXEU17yKE5pHyhldd8Ql6TL8l35A+Sp/xC+gIMMCRmGqM4RknCgDjdjR6g0d0A3Zsmo2y+ufnPSx987/s/+OGPPrx85cc/+enPfn71o1+cZOli1o+P+2mSzh71ulmcjCbx8Xw0T+JH01ncHfeS+GHvRQM/f3gWz7JROmnP30zjx+PucDI6HfW7c2h63FjMF7PRjWh7c+vzx0+vbmze3KR/0XplS1c2lP53lH4UHauOGqhU9dVCjVWsJmoO9UR1VQblO7WlNtUU2h6rJbTNoDaiz2N1rq4AdgG9YujRhdYX8HsIT9/p1gk8I82M0H3gksDPDJCRugaYFPrNoI7cIvp8QZSxtYz2kmiibG/gb0/TGkPrXD2DVglneobicCxzdar+SGMYwZim1IKj62sqC9IKSh45o5oDhSm0YX0An8+g3iek0XNEmIzGjrrt0uf/op7Yis993Xeh/k1SXoMSqZYefZpT6Kozoh/R21zAZyxPApyHQCHWY8TaK9L1mEY/gf5LaL8P5ZxqRic9KEtqPa9ENqD4kA0RuQ/Fh9wXkU0oPmRTRB5B8SGPNBKxM9K5H9+C4sO3RM4PoPiQD0Tk11B8yK9F5AkUH/JERH4LxYf8VkTehuJD3haRd6H4kHdFZBuKD9kWkcdQfMhjEbkHxYfc08jylTqDkhKdkbAqd6Be5IGWIoGWHVG+W2QdfdhbAWu6X4KVV/Uu/PVjdwN0Gpdg9wLm3WkJVp55+2Aj/VjZFt2h3cSHvSNiD2AG+LEHIvYr9bwE+1XASntRgpXXWhP6+bGy9b0HT37sPRF7H2p+rLxHHUKLH3sYsGNMS7BHIvaBelmCDbH6sxKsbPdbYFf8WHmfakN/PzbEmi5KsLI9PQEPxo+Vd6uH0OrHPhSxj9TrEuwjEfsNWHc/9puAHfZtCdbssVdoBxmSPxLDiq2i1s1XJdamQK0r8E/yvSUh37gH7RJmmGOGhBmLiP0csR+IaOaIZrBcWW5HM/J3ZS6tHNEKRPTyvQlrc7H/IO+PtSQAsZsjdlcQVR4pvmszljPyLkyLhJznOxfWQsaU5vYba7GeD9WW1yAOCwie289o5t+gaAkjKNRUFbVn+R7PyIieqxCvKHozozQ8ZNw8twou6rWI6nlQPRH1xoN6I6IWHtRCRJ15UGciyq58F9cJmAFW//gulvTEM4B95PISgVewA7vOHVijEcyfI/ACv6aWQ/jbothbKlWSYTSP+yRmOR4XLPEMaku1Ae02Ktyl+DqhFRaDZNzzUMf4+IS5jaVec2yFz/OdPMozJuF0RiTPMKeD3mJE66kenbvUck7eHdfq4e/k697U6uH3SOPn5MVzrR5+rqWfX0D2tsa2L4BtwWqaau3bel0anH9hGqZ+hXZdtLj4Vsd6ziC91zXpH+g3c3CB99KgGuvH1uvRyJzxZYXx1aFh9Zw5eq5HBb0n9npNLao9komOe229rgwp7aITLYd9qvtmsM9AvxlTr0fjCDyuBsXcS6ded/ZO89HYej0aJ4rznufkyZt6PRpDemZ92Ho9Gpht6eo439brWnbUAMfOtl7Xqk8oC4w5IJ7z3GK9ohn5SQtNbUT+QXW2xvX51/cxzNk8yWOEakrWty2n08v3smqJjL8Qg1Wb15QD/YuF44MVaSzVthhfsQzzwv6+Tsfu8aj5JmgxgtXPZwBSzjwBCU1OAq13AhS3xKirODKD2xZxOEtOV1Ad3ToXvUXLl7NGxban1CrFZXa0Vo8dstcZzb0p+YRN0qykh2bpGy6jKGmoWdCQTK+O7t7q9VrU/qaIm64gpvlM69OJEJ+kVcepPq23HB1f06c8cyh85mPnL2abT7W1wZgnJVuEslTxdPuZPJLbhvvqDWVz3PxZRG8U7dUZWY0RnUhlYhRqssXsjS/p2dI+pjM55ME0+vAeI01lqvjUDLPomE+PyKK69lbijfoyGTquZ2R1jT2uRg8d9NCDrh/jNGDHuA+1NsQMx/DUDohyruS6SknjM/Vpfjqa0husjuiTgoU0NNjexAULWRVlPytQeQVonA0cpYfTWKVj8J01SnLU75PHxq5Fy3+NTm7N+XaX5nj5bC7PxAyI6zZxjWjV8KkuP61yYAmW3k+2yX+tHiXyq8MRbajE9YnDmfUyoRP/mCLYKXnGCa02aXUUe7v5qdVPDKcjZc7O8TQ7JQsZkf2LYH9KaU5G9OPeHTAn6GwRErKRIXZnlHs3Pl9nJM4x68eNFN9qsPMtJlu2IP6Grru6MpqLHDHwPnC+MreNTprkC8bEdaatu13b1bsPIu09CXeWMEU7V64T/0/ot/kx82RjbUaghvENZNrW+d5HSjEL6qhLu3y1DTJ9XSk/zmV4oqW2+5+V6eOCZLsUcaE8uFsPgHOfnpkXzpIZyZ2t9eF9tCqbi5SnK3rE0Z5SFM92f6h3YJT7Bu2SG7TmOjRLhjAL5nkUYfpKWeRVvtW8itTDaGf/F+pW10WtIcVI2Qwua0jK78cUrblSJjCref6+oNXk1/pspVc1nwnNxbGzlt9B66/ht5HbPIfR6RWswi2aA0zBPlmNcEu01iOM160CLzMzDS37bPnZOWl6uS0Xia/ZutkY+6w2lSOaNa911sLUL0LjuUPjeaAO23TWaLVo2o0leirGFm19WhnKrw63dg3KC5Gy7JEZ1ChASjeWCqM6EKnKMb5BvRVpbYq0urBa3dMAd82HIP1rfXV1v8t390jdJt+mTx4Yxy8DWqUj8rlMa3WkxhSQ82favrqrv0MtyL1HFhQp8z1OXDF86tSncp5L+lu9s6Vk561FMPeWXuk+xsZ2qP6HNeSY1kRG69IgPqMesZbflSNasUg3HZ8josx/l3wq9juqY2a3t30nUcGfsPEmryrLiyOFCelfyrwdrEWvB078GlFMuNDedQ9o1X/DSIExJpPg9ywzekO4y/FJAnu0PbKf63aKT/EmjkQ3Seql+lOAjeGo1851d26ZEZux/Q56otbtW/f1kPklwRwlfhc50evSrjbWPupy5flitLp6lys+V+lhscLX6mNBfdzIwkZ5RUxHfRHMhSWqx4UxIVzqjaKO/PUkryMzn06FUja9DeVipoFtzDOKl6R7oIjweXfXvd7cJ8I4emv0eoR1qXGLRAmzcanOD7iWFrNSl9f2IW69XLkbJc5OVLZTGOrubmHtN1vImKxfoqScDfd2Ze8UohQ5C8MU+opv9JbFhy7NL6Dg70j5okPDMSR32AL/dkc11N57uA3xUtc5oxlRC9qCwUrs3dXjLPao1tFLh7pLP4RDOI8R6FqSfkQ7aV3ZmbIsuUs9nP4rsgIzFYvS2571x+BykUeyzqnOeEZk2eTRjJT5Lk7dsRgOISMpcgnnw+ca0ihOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCzZw38v45oHU4raBudov/dRyGj+VUn1cot4y+a/Y84K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5v3TR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/3jkvxthJc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGiG7ENdaBuw08j9wDr3g7l71LyX8T6vz87gNZTsh4mi86Zgw61xZT9sKdoA3q292fLJMa7vHy3tw0teBbepFa853uf+uNd33ZhbOXfIOG1fk+lalCISFZP9+y66sEIiidvnAMy3/ON6C49Z7H45tk44GzR3J9alWhJn8g3C3ql+J4jZZ/m6lSf1ePJAd6w7+b5oUj9ntq62s7jnitxPirlfLTCOSPtFDm8dj6rvptVxqXhcBnkubMz3S+lONue51XnRndLufAd9Gr8sAI/dKRskfZfUCQ8U9XZvEUFzYWWyT1hnSiTiWQ9YJzZzd93dWR7VsHrLGD8d0vRdx1J90GWHuW/IzphmxG9ROtmj6Tnm47VmdQ7FdLq71E+vbqxtfp/GaxXTrZvbm3e3HqwvfHlLf3/HHyofqV+o67DGv9cfQnUjtQx2du/qr+pv+8c7ix23u38mbt+cEljfqkK/3b+8l8s1KSJ</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="6lzXbTDPpUQChkRXAFYhOyQ6AzI=">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</latexit> Sinkhorn Divergences: " ! +1 <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">AAB2/Xic7V1LcxxHcq5dv1bwS2sfHY5oG5QX5JI0QNGWQ2uFFwRBEhREQARAUcKA8DwawFDz0vQMCGgW8sG/xQeHHT7YBx/8S3z3ZX+Cb85HZVd1d3VVNSiF7dCqQ2BPTX2ZWVlZWZX1ms5k0M9mq6v/+YMf/tqv/8Zv/taP3ln67d/53d/7/Xd//AcvsvF82k0PuuPBePqy087SQX+UHsz6s0H6cjJN28POIP2s8+UGfv/ZeTrN+uPR/uxykh4N26ej/km/255B0vG7f9xKJ1l/MB4lrWn/9GzWnk7Hb5Kftvqjk9nl0vG7y6t3V+m/pPqypl+Wlf5vd/zjD/9LtVRPjVVXzdVQpWqkZvA+UG2VwXOo1tSqmkDakVpA2hTe+vR9qq7UEmDnkCuFHG1I/RL+nsKnQ506gs9IMyN0F7gM4P8pIBP1HmDGkG8K78gtoe/nRBlTl+B5r8GTqC31TG2obXWgHqpNtUc8/M8S4TaA70RdAs8+SH8GJUzUCkhzE/69B6VfVR/A22OQsUN5UpAxUbvwL2JSkpQpfaLW1b56QrxX4P0TeLtZq6UFaSeD/9vA88yjT8l5ApJi/WSkwVDuDOQbgsxhush9SPmwFLEy3Ia8RU4mpQs2dZVrpo6ilBzta6guvJKegq7bkHpG9ufPm0F6ByTF+pxTHfl1MCXal95cM6r/OdnqFPjfJvvmNjOlcqS5BvvwTU+3pQRQKdDAtBH9PYW0MUiXEI8pcZCyZR4JbKpYtinV3JXW8RakZyTLjGohgU9MIaXPJyQhtraUcrJepAZQZpRoBGkpcel5JLmwaDP/+px2q5d2ImjWBpd5SnKl6g0hhiQZlncB33XIG2G761MeLDfmR0+F7WYBXkrkYBpYppS4YhkXuYUvoH3a31x5MBN4Q8+AqF39PgbeffKB2Ap8aNThCeVZgD9KqcZGkdiu1teCfNOUNMh2d+nFDXSZFuAFU61DX/5pnv+5toUp1J0PkUKNDrVONuG9TZ9Mb+BC3aI2lpHXWoBPbJMmEp02Jwq2Vuqt6YQsqa2tvmV9Rou4JDkWYC1jkCzVHkhkMnkXZEcZ8UT7Q6me0F/M0a/Qll7MhdsnryDlD/dYCWjtmXoBrfW52oG3TdAHpuxH9ldSGmwr5+QDUGvSby/IJ1zpNiNex8jN30x1L3sIPdtd9ZdUp0fUhu6q9+kT5sPv1tRf6c/fUNoS9Q4zaglcPx9RPkbhd33yMsOabwekLWzH5nvMjd+xLyymL2kUS885bC/4EUgoeOFc/N6mk5HHQOnfQK4eWemiIJVJx9Legecb6mlbpK8T6qVQBtbrRzXYJcCwplPtwYz+pU+MqUfuv/y1eYO+m5N/wNLd+F7WVIsoXsBf7PXtzxl9XgHcTdL+d1Of4dqcBepRbO37VnPfXRsL1wn2NhjfHHlrxlcnf/EWdcLf19XLxTX1uaKWoURo6zF1utRY75i/De89kmlA9E4tqaqUUKp7Dh1cRfnJpWCvylHXBvWnvj7UWER1fIlRQp98qLGIfwK7RF1+o/5Dx6sJlI1HqV2yQP+Y1UXzb+FBmj+B50q9QzQPQGpTygQ+cSzF2s1onHQOb11461GEzOONhLR1qsfDvtI9g4f1LKP9DjwLSr3yIjfgcSE3gsjH8LiQj4PIbXhcyO0gchceF3LX8gm+GtuDx4XfC3L+FB4X8tMg8jk8LuTzIPIFPC7kiyDyC3hcyC+CyEfwuJCPgsiP4XEhPw4i9+FxIfeDyAN4XMiDIHITHhdyUyPrW+pU9zM98mQ+HusUm9k8uvDvAFLWg/I9oFkdF/ZBRJvu1mDDrfohxVQu7MMInaY12M0IuzupwYYt73E+hi5jw77oST6+LGOfBLFbFEm6sFtB7FP1ugb7NKKlfVmDDbe1beqtXNiw9/1EzyRUsZ8Esc/0OKGKDfdRO5Dixu5E9BiTGuxuEPup+qoGG+P1pzXYsN/fyyP8MjbcT+3ncUgZG+NN5zXYsD99ASMYNzbcW30GqW7sZ0HsSz2XUcW+DGI/p7k2F/bziB726xqs9LE8D3pK45EUWqyPWjtvlfiGs8TtAP9B3rfgG/ZRvSDmNMecEqY8d+jyrIJ4HInYzhHb0XJluR/NaLwb5rKXI/YiEZ28b+pQvBXK38vz9yiiCSMe5oiHJYRvRMqrHYw7p9GFpISQ9szIWVSZxrn/xrdU24Pf8wpip4Bg2z4jy8cVoRnFQagpH7WzvI9nZEKffQicZz7JSyk8wrhZ7hVs1EUQ1XGgOkHUpQN1GUTNHah5EHXuQJ0HUabl27hWhAUY/b+hOZWT3LuF58KLq6U70ONuQu+HKTvwb8xsuD+mx7kH7CnNDI/44qnClYxlWjOSuPAhRdi8xpLSGgXm3IH2Jqt7uJqx0K2O/fBV3pcnStY/4un0SZ7TnA6OFxM1bEznY0q5ovFdqlfZmuCf5C1f3prhN0njvB40ytdc4vEzLf3sGrLva+z+NbB70J4mWvvmvSkNnoFhGvK+pFp6Nh5rdahtBuldNKS/pWtm6xr1wiuH9ipicx1lVvmyQvma0DB6ziw9N6OC4yce98pb0rgkIx35mvemMoypHx1pOcynpjWDeXq6ZuS9GY1dGHNtUNS9sN6bWu8kL415b0bjBeXkqMK8N6PBux9YH+a9GQ2cb2nrSN+8N/XsqAGOns17U6+O8+upMjsHOMWMi6Y0UpJ9JH0aIfjna+xRf7Ufw1mbV3mU4KdkRrf1dDoqDdIxEYmsszWTA0cYcz0K2wAUrhCE563aNG62e/Qyd7tXR11vg97sfTD+GbkByCTzECnN3L/S+0p8GLssBncviEO7OCmhWjp1FhwhGr48U1RMO6bUUCxmSmv02CIPnZG1TWgcuE2aDelhu6SHMMWQhrYLGgrTa6K7r3ULLWp/NYiblBCT3NK6tMLI+yL9salL63uWjt/TKzu46sfrPHX7uE7I67RJFh9PO5/MHdlp2JPeVmZem79LqEbRQ52Tn+jTKlR4r5bMEPP4e0GfDe0DWv0rrqQlmorshsOZc5xDT8iH2h42xBv1JbNy/J6RnxUPHFqxM+hTB7ppTLNBO3z24PNzKPdG1B4fsw44Jn1P1Z18d+WY6s8fw9urja2chuybs/2jL64+K1Dh1d9Ux+XxNMp0BN+qUArH+S55TLRa9Pvv5TsrZzQSGHhtuX7upUdc7xHXhNrMlNrhwlqzNxxYgoXzm3s0XvWXEvk14YgeNMT1lcWZ9TKi3bMpRawTGgkPqK2F2kYxtz0jVf5GOO0q2d2N69dj8o8Jeb8Eeqcx2WRC/9v7wHkdTfzBgDxkjNfp56MZ19imH7QxM27rK957aezNtV/Wbl28R4MjBO4Frkq2LTrZprEf73aYat9u2ra/70lpp6zs6LathCkaW1kh/jfpr/wvdrJcsQjUMO9rZU/nqo8xxSioozb18X4fJHltKW/kMrzSUpvez8h0oyDZQ4qwEr0Ptwecu4r3NiMvtJIpyZ1V8sg+9vo+CilPSnqU3Sst7fVPdf+Lct+mPnKZ2lxLmZMCEjVI3tC8cZmvn1eRehzt7DuhbnRd1BpSTJSZs2UNhWb0U4rObCkHdLaCd/ummlJV69NSLj+fEdni0GrLv4DUP4G/Ird8jqPTKXiFB2QDTMF8MhrhlKSSI47XgwIvsUyhZT4bfsYmJZedcp14mr2bianPG1PhXfMXepZC3q9D47VF43WkDvdpddFoUdLFEx0HI4t9vT4Zy68Jt/0GlOdByuERmaD6EVLakVQc1V6QajjCF9TXQVqrQVq419Ce/bfbfAzS3dbLrfsXhd79EY1uukrOMvCos3zuwx+pMQXkfV97WLv9tygF+du7Ve3zSzgv2SUKIuuf6b5tTJ7e+ATZq/RG5xEv26L39yvIIbWKjFqmIO5TDtm9acuRlHzSXWvUkdBcf5tGVTzy8MfMdm5TK0lhRGHiTW5XhtdA/UTHCyOqg5n6pZfbViWC3bJi2ETxOucgjzGwln/ZqJYxsmTLkNkE9/gyo1rCvo7XD3hcy6dbqt6KV+9GoH2xu7uK99d+FOFpOPJ174bG7+Y6bsKy3YKcqHlT864cYX6DaI4hftdZx+MdysN8j3Lx8/VotXVfV/zcjNZ6Sa71t5BrvSTXekWuuvqZl/Rh6mlOeey4x8SgRUxL/SyaC0vUjAtjYrisX6Ms643Lsn6Nsqw3LkuzUjSRv5nkTWTmdb9YypJbKBfndNiPn1FkGtpjiwjXOHrFOW6+GShHp0KvQ1ibGqeEKOGs51jPxNg9Gs7/vVPp7zn1HW+vP7B6/LoeWajbvbLpJ7kXSqmH4bjf77+LuysSLatIEJ7vYgpdxbul6yJxm+bP4MG/iXLF4cIxZpZ2DyIJPDMSd0uAf5/JV/qdZ44TSkG/1ivNcrR1OYs5/Dr6yqJu04/hEM8DT36HpO/TaKWp7Ew5LLlNPZ7+G/ICU5UGpTc5m5fB5hIuSZVTk/L0ybOFS9PXM53NyyIcYkpS5BLPh9ePQqU4UXITSLMyCPVwCYocmvCQHSJxdW5yN+dlc/Lrq8ollgf3ArKyJThcYa2PCU2+GA81tWrk2+eA3uHEQ116i7cth/AxnJrziuXGN5S8jqh1zpfquW8c2zdvM4ZbjDXXc4znOc5LZ0ZLbn487ksa1dTYKs23Tx/Ho8YGhNdC8YxzWDrG21Zk5I2lgiswLhnG6r+jZGB8nQyxVGQlqJ6S5AhTk1OsrlLJdzEyGTp1MhWp2aeIE7rnJNPt18zUZfrbTVptlJXHD1VCK1K88pgp2eHM7ecLagWYwz5tXj4RLUhuVfZZ7VgMjifE18SjhopvX6miOd66Dnqh7qtJcNVFKJkRPY6fk9JTf7K9XmP1c2XL+eyyj49dmpCe63nheuqxxdPNtQ7L81h4z9OXwA13p/E9AqxXnn0/V3JDS4vWufCmgnuUQ1b5eQ7wEP49gr8u/XJNHek8PIt6RhR9+nVRCj3xenLrypXmSglHdY/UlnqsDqCNb6q3jep4XnqmZJd+quwbr7iWTMpCvU/4kP+akI5iaa5aNH1UhxDfF+86OwR5sNaXrFqy5w7Kuc/IVtgHSv56WeuodhXPzcgphHIdchzf/EGpeA6J5915HIy7NfmkSvFmuKwgn8yElGWzS1rU+h1oO6x3V7vuEifpN+wVvb6aWdZeLUERactobsZY0MpLGW1omJzluqq3Vpc2yjfjNbUw225lpaqprX1fLO3/u53Vyb/skP/btDCOrJr5sls1FvYr2/nftp238VC33sqCruurfmVL/1dt6bp+yLYj/y6MPtUw3+jlOm+SlW6Z6+hb5uTurdA4sMhB9rynVszUslJlxd+skBXxxVjEt8f1evxMdNX0TuaYMTifOJC7Ns2duEO9AsXxW5fmGcSeFxTPzah18B28HSWnYD9QcjdyPXJSQd0vRMdlTIe4zUijZeT7+XiyeB8p7ovGGQT79IbMHib6JBbeToeWmhSQd3N6Yl8humVqfHu3zN5NShrm0x3mBuGkUL5iXtlry9FjkktkZJSd0xe5dImn3LwvSqQS6kX+fDdym3Ii9Ts5fVs2I0GPVizrdJWQVfu0aU683FO893xAdcwnUOYKd9XOHRzrOb09hzbphOexbD8q8wZlDZv8Vc/LFNmPjskzxFA0+asU62aRyuXG9nFPe+ekFuXWpo2t51hXp1dW/BziHENDtOimE6otpLQWRSlUS0VKLm+c6HpEWfrUyrtklbxvb0Zjhkz7Wd4xhNoN36N+VZvvsOAT+a7/EekRd0N0dJnreJRz1p/z4PMVM0KZd3MGT9rYQ3VMO3cTPRuFc70XnlIOabZtpvp6HUc0u6seqcfqz4FWH3J/7S3FTOcRbFLZj+XfT7Gf3+Zn7xAO3460rp7ndzTW7SOUdx6lPNf3vPnpbgWoVulu5XT9lEPy+iT2U36kntG4oYk2WOrjiB3Fj+nuNR9lvGnumHK1Kjfk19N9CDI8qtS9pIZ2JMleKb4JWqSxbwO8QScI+d4FtMNZI+k6lBbHxeS8Dqc9PXPrOr9lvgvpckfrsqdvAfLlvtC7IkN7IS+oFJzzlZJ9udMg/UzJeUwZY1/Q2WwZUZt4IUyleGbInKTkMtg0ZdweonuRy+ezac7Dd54tVPk+MZelx/CUO5FYH0WqZQ3HUNsu0GO75b3ZZYnjqTPtvbzkhnaR4krObUHliqvPPTWx6K4A8makPYl/K9tADFc+V2R/XrF0dUm3ddXpLiyf/GbQmG5PNNZaZ1t4+6KrNTTxGobnVUWGRW5nZauNo/jASdPW15XX1sK7Setllv7IR+EA+hq+8fggou/inKafwrtEi60hPNYQKut05uLQQeMoSOVBTgUtoK8pFekcRZSex6bFc0fuM9n+06qd/K5VvP30mGrgduPa3FPyWw3mE37vo+enyDu3eUwrbb5nnfJd0xESxzfmlBSe/7hDaS/hYSs91mfBE/XTiiQ2ek4jj1fqlkpyn+KvA74TSnpSO23FooTjq5tR9mVb19NIazK25M+7kefdUXE3HCJCMPZtA0UK8dLuwqjOTY+lj6d0oOmEWv5uzq84opoQt6cB9Oeq7q7Zz9WVszcUi+H5IvkFIPvXeSaEMKdZmHcxP/5iEKYMwZJHFP/OVbNfb0IKvJMHUZv01te7ftg3jGn0jBGa3Alhfn+IT59jS8NZK//ZNDx1PlauWeLyb5HwvA+fzUEp+ZzZIZRpTGfdP9Qe6yjCO4yIQvl2HJtDh+aYeGcBjp0fqb8JUn1NummXTmaF5H+ao5JSGUJnINBb81mDED+7NIfQLm1slavc/rQG9rMNfq/Zqame1qvEEOETq6cF+Y0vNrdAHGtv1Ymo2br7rGN+r2Evb+/Vu1/qboxeAUxo1LpX8SM2jRgKc1W+P5rbxzxYKrnFsIwM7zrsqfId7FwvvQjrHNC4blBqC0UJHlDZV/UoFmv6dh7R+ai/pPun2T+fBfutl1Z+fDuGXsR95rX4fczsgUQDHLWXrdSHvtSx4wqNb1yxgh97rtHN4o9wXCW/4VGOBV19lTt289vFSMn54PJNzr6TTrJatJlzcM8j9pT5hU2mymd5W5SWUm0bK+zRZ332//jd5bXyL71WX17cu7u2enft0/vLP/9r/SuwP1J/pP4UdLGmPlA/V0/AJg9Apr9X/6j+Vf3b+d+d/8P5P5//C2f94Q805g9V4b/zf/8frhtERQ==</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> " ! 0 <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> [Ramdas, Garc´ ıa Trillos, <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> Cuturi, 2017] <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> [L´ eonard 2012] <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">AABB0nictVzbchu5EYU3l107N2/ymJdJtE68KceRlK1KqrZStbIky1rTtmxSsndN28XLiKY95NAckr5w9ZDKaz4hr8lv5DvyB8lTfiF9AQYYEjONUbxGScKAON2NHqDR3QDdnSTDbLa5+a8LH3znu9/7/ocfXbz0gx/+6Mc/ufzxT0+ydD7txce9NEmnj7qdLE6G4/h4Npwl8aPJNO6Mukn8sPtyFz9/uIin2TAdt2ZvJ/GTUWcwHp4Oe50ZND27fPlxo/3rOB13pv1oe3Nr+8mzyxub1zfpX7Re2dKVDaX/HaUfR8eqrfoqVT01VyMVq7GaQT1RHZVBeay21KaaQNsTtYS2KdSG9HmsztQlwM6hVww9OtD6En4P4Omxbh3DM9LMCN0DLgn8TAEZqSuASaHfFOrILaLP50QZW8toL4kmyvYW/nY1rRG0ztRzaJVwpmcoDscyU6fqjzSGIYxpQi04up6mMietoOSRM6oZUJhAG9b78PkU6j1CGj1HhMlo7KjbDn3+b+qJrfjc033n6j8k5RUokWrq0ac5hY5aEP2I3uYcPmN5EuA8AAqxHiPWXpOuRzT6MfRfQvtdKGdUMzrpQllS61klcheKD7krIg+g+JAHIrIBxYdsiMgjKD7kkUYidko69+ObUHz4psj5PhQf8r6IfADFh3wgIk+g+JAnIvJrKD7k1yLyJhQf8qaIvA3Fh7wtIltQfMiWiDyG4kMei8h9KD7kvkaWr9QplJToDIVVuQP1Ig+0FAm07Ijy3SDr6MPeCFjTvRKsvKr34K8fuxeg07gEux8w705LsPLMOwAb6cfKtugW7SY+7C0RewgzwI89FLFfqhcl2C8DVtrLEqy81hrQz4+Vre8dePJj74jYu1DzY+U96h60+LH3AnaMSQn2SMTeV69KsCFWf1qCle1+E+yKHyvvUy3o78eGWNN5CVa2pyfgwfix8m71EFr92Ici9pF6U4J9JGK/Auvux34VsMO+K8GaPfYS7SAD8kdiWLFV1Dr5qsTaBKh1BP5Jvrck5Bt3oV3CDHLMgDAjEXGQIw4CEY0c0QiWK8vtaEb+rsylmSOagYhuvjdhbSb27+f9sZYEIPZyxN4KosojxXdtxrIg78K0SMhZvnNhLWRMaW6/sRbr+VBteQ3iXgHBc/s5zfxrFC1hBIWaqqL2PN/jGRnRcxXiNUVvZpSGh4yb5VbBRb0RUV0Pqiui3npQb0XU3IOai6iFB7UQUXblu7h2wAyw+sd3saQnngHsI5eXCLyCHdh1bsEajWD+HIEX+IBa7sHfJsXeUqmSDKN53Ccxy/GkYImnUFuqDWi3UeEexdcJrbAYJOOe93SMj0+Y21jqNcdW+CzfyaM8YxJOZ0jyDHI66C1GtJ7q0blNLWfk3XGtHv5Wvu5NrR5+nzR+Rl481+rhZ1r62Tlkb2ls6xzYJqymida+rdelwfkXpmHql2jXRYuLb3Wk5wzSe1OT/qF+M4fneC+7VGP92Ho9Gpkzvqwwvjo0rJ4zR8/1qKD3xF6vqUW1RzLWca+t15UhpV10rOWwT3XfDPbp6zdj6vVoHIHHtUsx99Kp1529k3w0tl6PxonivOcZefKmXo/GgJ5ZH7ZejwZmWzo6zrf1upYdNcCxs63XtepjygJjDojnPLdYr2hKftJcUxuSf1CdrXF9/vV9DHM2T/MYoZqS9W3L6XTzvaxaIuMvxGDVZjXlQP9i7vhgRRpLtS3GVyzDrLC/r9OxezxqvgFajGD18xmAlDNPQEKTk0DrnQDFLTHqKo7M4LZFHM6S0xVUW7fORG/R8uWsUbHtGbVKcZkdrdVjm+x1RnNvQj5hgzQr6aFR+obLKEoaahQ0JNOro7t3er0Wtb8p4iYriEk+03p0IsQnadVxqk/rTUfHV/QpzwwKn/nY+YvZ5lNtbTDmSckWoSxVPN1+Jo/ktuG+ek3ZHDd/FtEbRXu1IKsxpBOpTIxCTbaYvfElPVvax3QmhzyYRg/eY6SpTBSfmmEWHfPpEVlU195KvFFfJkPH9YysrrHH1eiBgx540PVjnF3YMe5CrQUxwzE8tQKinEu5rlLS+FT9Nj8dTekNVkf0ScFCGhpsb+KChayKsp8XqLwGNM4GjtLDaazSMfj2GiU56vfJY2PXouW/Qie35ny7Q3O8fDaXZ2L6xHWbuEa0avhUl59WObAES+8n2+S/Vo8S+dXhiDZU4vrU4cx6GdOJf0wR7IQ844RWm7Q6ir3d/NTqJ4bTkTJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8y9G5+vMxTnmPXjhopvNdj5FpMtmxN/Q9ddXRnNRY4YeB84W5nbRicN8gVj4jrV1t2u7erdB5H2noQ7S5iinStXif+n9Nv8mHmysTYjUMP4BjJt63zvI6WYBXXUoV2+2gaZvq6Un+QyPNVS2/3PyvRJQbI9irhQHtyt+8C5R8/MC2fJlOTO1vrwPlqVzUXKkxU94mhPKYpnuz/QOzDKfY12yQ1ac22aJQOYBbM8ijB9pSzyKt9qXkXqYbSzb4W61XVRa0gxUjaDyxqS8vsxRWuulAnMap6/L2k1+bU+XelVzWdMc3HkrOVvoPUX8NvIbZ7D6HQLVuEGzQGmYJ+sRrglWusRxutGgZeZmYaWfbb87Jw0vdyW88TXbN1sjL2oTeWIZs0bnbUw9fPQeOHQeBGowxadNVotmnZjiZ6JsUVLn1aG8qvDrVWD8lykLHtkBjUMkNKNpcKo9kWqcoxvUO9EWpsirQ6sVvc0wF3zIUj/Wl9d3d/ku3ukbpJv0yMPjOOXPq3SIflcprU6UmMKyPkzbV/d1d+mFuTeJQuKlPkeJ64YPnXqUTnLJf2V3tlSsvPWIph7S691H2Nj21T//RpyRGsio3VpEJ9Rj1jL78oRrVik647PEVHmv0M+Ffsd1TGz29u+k6jgT9h4k1eV5cWRwpj0L2XeDtei10Mnfo0oJpxr77oLtOq/YaTAGJNJ8HuWGb0h3OX4JIE92i7Zz3U7xad4Y0ei6yT1Uv0pwMZw1Gvnuju3zIjN2H4DPVHr9q37esj8kmCOEr/znOh1aFcbaR91ufJ8PlodvcsVn6v0MF/ha/Uxpz5uZGGjvCKmrT4P5sIS1ePCmBAu9UZRR/56kteRmU+nQimb3oZyMdPANuY5xUvSPVBE+Ly7q15v7lNhHN01el3CutS4RaKE2bhU5wdcS4tZqYtr+xC3XqzcjRJnJyrbKQx1d7ew9pstZEzWL1FSzoZ7u7K3C1GKnIVhCj3FN3rL4kOX5udQ8HekfNGh4RiSO2yCf7ujdtX+e7gN8UrXOaMZUQvagv5K7N3R4yz2qNbRK4e6Sz+EQziPIehakn5IO2ld2ZmyLLlLPZz+a7ICUxWL0tue9cfgcpFHss6pzniGZNnk0QyV+S5O3bEYDiEjKXIJ58PnGtIoTpX5TlO9MRjq8giKHOrwMPcYwt657V2fl8upWl/rXEJ58C5gTlwMDk/+ymMV2y/EQk2dN/L+OaB1OK2gbnaL/3ccho/lVJ9XKLeMvmv2IuCtc79YZ2TRH66/Ziy3kNlczjGcZ5qPznpLfn7s90W13lTqjOb900d/1M4Bw2upOA8qS8d4dxZZeUOp4LmAT4ZU/Vf984L8bYRXOY0yOepQMucU5dRMD5ma+calb3TmsxCZLJ0ymYrUbBzRpBuxu+pQ3YSf3dwDrHs7lL9LyX8R6//+bB9aT8l6mCw6Zw7a1BZT9sOeovXp2d6fLZMY7/Ly3d4WtOBZeINa8Z7vXeqPd31bhbGVf4OE1/odlap+ISJZPd2z66oLIyievHEOyHzPN6K79JzF4ptno4CzRXN/alWiJX0i3yzoluK7jpQ9mqsTfVaPJwd4w76T54ci9Ttq62g7j3uuxPmolPPRCueMtFPk8Mb5rPpuVhmXXYdLP8+dLXS/lOJse55XnRvdK+XCd9Cr8YMK/MCRsknaf0mR8FRVZ/PmFTTnWib3hHWsTCaS9YBxZid/39WR7aKC1yJg/LdL0bcdSQ9Ali7lvyM6YZsSvUTrZp+k55uO1ZnUWxXS6u9RPru8sbX6fxmsV062r29tXt+6v73xxQ39/xx8pH6ufqmuwhr/g/oCqB2pY+CwUH9Tf1f/2GntvNv5885fuOsHFzTmZ6rwb+ev/wNuxKXO</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> Theorem: <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="O5FT/xua9A8E97A3ls2uRiNAbm0=">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</latexit> 1 2 ||↵ ||2 dp
  56. Sinkhorn Divergences fl [Ramdas, Garc´ ıa Trillos, <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit

    sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> Cuturi, 2017] <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="6lzXbTDPpUQChkRXAFYhOyQ6AzI=">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</latexit> Sinkhorn Divergences: " ! +1 <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> <latexit sha1_base64="2m5x5bH5vZA7MkIMJwilwPQbpJk=">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</latexit> " ! 0 <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> <latexit sha1_base64="CyJjxc+PxLdPpNbI+HEYdPSRjTE=">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</latexit> [Ramdas, Garc´ ıa Trillos, <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">AABB9HictVxLcxu5EYY3r7Xz8ianVC6TaJ3ybjmOpGxVUrWVqpUlWdaatmWTkr27tF18jGjaQw7NIekHV/8jh9xSueYnJMfkL+QfJIdU/kL6AQwwJGYaozhGScKA+LobPUCjuwG6O0mG2Wxz8x8X3vvGN7/17e+8f/HSd7/3/R/88PIHPzrJ0vm0Fx/30iSdPup2sjgZjuPj2XCWxI8m07gz6ibxw+6LXfz84SKeZsN03Jq9mcSPR53BeHg67HVm0JRe/on6Sj1QHTVSffidqWsqUgdQm6qe+jf8jVQL6kOVQEn586eXNzavb9K/aL2ypSsbSv87Sj+IjlUb6KdAcw6cYjVWM6gnxDEDCbbUpppA22O1JN4z4Iifx+pMXQLsHHrF0KMDrS/g9wCevtKtY5I+hjqie8AFJZ0CMlJXAJNCvynUExpNj56RMraW0V4STZTtDfztalojaJ2pZ9Aq4UzPUByOZaZO1W9pDEMY04RacHQ9TWVOWkHJI2dUM6AwgTas9+HzKdR7hDR6jgiT0dhRtx36/J/UE1vxuaf7ztW/SMorUCLV1KNPcwodtSD6Eb3NOXzG8iTAeQAUYj1GrL0iXY9o9GPov4T2u1DOqGZ00oWypNazSuQuFB9yV0QeQPEhD0RkA4oP2RCRR1B8yCONROyUdO7HN6H48E2R830oPuR9EfkAig/5QESeQPEhT0Tkl1B8yC9F5E0oPuRNEXkbig95W0S2oPiQLRF5DMWHPBaR+1B8yH2NLF+pUygp0RkKq3IH6kUeaCkSaNkR5btB1tGHvRGwpnslWHlV78FfP3YvQKdxCXY/YN6dlmDlmXcANtKPlW3RLdpNfNhbIvYQZoAfeyhiP1fPS7CfB6y0FyVYea01oJ8fK1vfO/Dkx94RsXeh5sfKe9Q9aPFj7wXsGJMS7JGIva9elmBDrP60BCvb/SbYFT9W3qda0N+PDbGm8xKsbE9PwIPxY+Xd6iG0+rEPRewj9boE+0jEfgHW3Y/9ImCHfVuCNXvsJdpBBuSPxLBiq6h18lWJtQlQ6wj8k3xvScg37lKcUY0Z5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsS9AoLn9jOa+dcoWsIICjVVRe1ZvsczMqLnKsQrit7MKA0PGTfLrYKLei2iuh5UV0S98aDeiKi5BzUXUQsPaiGi7Mp3ce2AGWD1j+9iSU88A9hHLi8ReAU7sOvcgjUawfw5Ai/wAbXcg79Nir2lUiUZRvO4T2KW43HBEk+htlQb0G6jwj2KrxNaYTFIxj3v6RgfnzC3sdRrjq3wWb6TR3nGJJzOkOQZ5HTQW4xoPdWjc5tazsi741o9/K183ZtaPfw+afyMvHiu1cPPtPSzc8je0tjWObBNWE0TrX1br0uD8y9Mw9Qv0a6LFhff6kjPGaT3uib9Q/1mDs/xXnapxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKzjXluvK0NKu+hYy2Gf6r4Z7NPXb8bU69E4Ao9rl2LupVOvO3sn+WhsvR6NE8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5DFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYnEdM5zBOiVo0pjszgtkUczpLTFVRbt85Eb9Hy5axRse0ptUpxmR2t1WOb7HVGc29CPmGDNCvpoVH6hssoShpqFDQk06uju7d6vRa1vyniJiuIST7TenQixCdp1XGqT+tNR8dX9CnPDAqf+dj5i9nmU21tMOZJyRahLFU83X4mj+S24b56TdkcN38W0RtFe7UgqzGkE6lMjEJNtpi98SU9W9rHdCaHPJhGD95jpKlMFJ+aYRYd8+kRWVTX3kq8UV8mQ8f1jKyuscfV6IGDHnjQ9WOcXdgx7kKtBTHDMTy1AqKcS7muUtL4VP0yPx1N6Q1WR/RJwUIaGmxv4oKFrIqynxWovAI0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9CJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+sThzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK1eJ/0f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5jI80VLb/c/K9GFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8pime7P9A7MMp9jXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Grya3260quaz5jm4shZy19D68/gt5HbPIfR6Raswg2aA0zBPlmNcEu01iOM140CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmtc6a2Hq56Hx3KHxPFCHLTprtFo07cYSPRVji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3oq0NkVaHVit7mmAu+ZDkP61vrq6v85390jdJN+mRx4Yxy99WqVD8rlMa3WkxhSQ8yfavrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+gu9s6Vk561FMPeWXuk+xsa2qf7rNeSI1kRG69IgPqEesZbflSNasUjXHZ8josx/h3wq9juqY2a3t30nUcGfsPEmryrLiyOFMelfyrwdrkWvh078GlFMONfedRdo1X/DSIExJpPg9ywzekO4y/FJAnu0XbKf63aKT/HGjkTXSeql+l2AjeGo1851d26ZEZuxfQw9Uev2rft6yPySYI4Sv/Oc6HVoVxtpH3W58nw+Wh29yxWfq/QwX+Fr9TGnPm5kYaO8IqatPg3mwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25hnFS9I9UET4vLurXm/uI2Ec3TV6XcK61LhFooTZuFTnB1xLi1mpi2v7ELderNyNEmcnKtspDHV3t7D2my1kTNYvUVLOhnu7srcLUYqchWEKPcU3esviQ5fmp1Dwd6R80aHhGJI7bIJ/u6N21f47uA3xUtc5oxlRC9qC/krs3dHjLPao1tFLh7pLP4RDOI8h6FqSfkg7aV3ZmbIsuUs9nP4rsgJTFYvS2571x+BykUeyzqnOeIZk2eTRDJX5Lk7dsRgOISMpcgnnw+ca0ihOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCTZ038u45oHU4raBudov/dRyGj+VUn1cot4y+a/Y84K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5t3TR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/31gvxthJc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGkG7G76lDdhJ/d3AOsezuUv0vJfxHr//5sH1pPyXqYLDpnDtrUFlP2w56i9enZ3p8tkxjv8vLd3ha04Fl4g1rxnu9d6o93fVuFsZV/g4TX+h2Vqn4hIlk93bPrqgsjKJ68cQ7IfM83orv0nMXim2ejgLNFc39qVaIlfSLfLOiW4ruOlD2aqxN9Vo8nB3jDvpPnhyL1K2rraDuPe67E+aiU89EK54y0U+Tw2vms+m5WGZddh0s/z50tdL+U4mx7nledG90r5cJ30Kvxgwr8wJGySdp/QZHwVFVn8+YVNOdaJveEdaxMJpL1gHFmJ3/f1ZHtooLXImD8t0vRtx1JD0CWLuW/IzphmxK9ROtmn6Tnm47VmdRbFdLq71E+vbyxtfp/GaxXTravb21e37q/vfHZDf3/HLyvfqp+rq7CGv+N+gyoHalj4PB79Rf1N/X3ncXOH3b+uPMn7vreBY35sSr82/nzfwGX8atT</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">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</latexit> <latexit sha1_base64="7m40Coq0F3c+G3SXCEnv0V4h1zw=">AABB9HictVxLcxu5EYY3r7Xz8ianVC6TaJ3ybjmOpGxVUrWVqpUlWdaatmWTkr27tF18jGjaQw7NIekHV/8jh9xSueYnJMfkL+QfJIdU/kL6AQwwJGYaozhGScKA+LobPUCjuwG6O0mG2Wxz8x8X3vvGN7/17e+8f/HSd7/3/R/88PIHPzrJ0vm0Fx/30iSdPup2sjgZjuPj2XCWxI8m07gz6ibxw+6LXfz84SKeZsN03Jq9mcSPR53BeHg67HVm0JRe/on6Sj1QHTVSffidqWsqUgdQm6qe+jf8jVQL6kOVQEn586eXNzavb9K/aL2ypSsbSv87Sj+IjlUb6KdAcw6cYjVWM6gnxDEDCbbUpppA22O1JN4z4Iifx+pMXQLsHHrF0KMDrS/g9wCevtKtY5I+hjqie8AFJZ0CMlJXAJNCvynUExpNj56RMraW0V4STZTtDfztalojaJ2pZ9Aq4UzPUByOZaZO1W9pDEMY04RacHQ9TWVOWkHJI2dUM6AwgTas9+HzKdR7hDR6jgiT0dhRtx36/J/UE1vxuaf7ztW/SMorUCLV1KNPcwodtSD6Eb3NOXzG8iTAeQAUYj1GrL0iXY9o9GPov4T2u1DOqGZ00oWypNazSuQuFB9yV0QeQPEhD0RkA4oP2RCRR1B8yCONROyUdO7HN6H48E2R830oPuR9EfkAig/5QESeQPEhT0Tkl1B8yC9F5E0oPuRNEXkbig95W0S2oPiQLRF5DMWHPBaR+1B8yH2NLF+pUygp0RkKq3IH6kUeaCkSaNkR5btB1tGHvRGwpnslWHlV78FfP3YvQKdxCXY/YN6dlmDlmXcANtKPlW3RLdpNfNhbIvYQZoAfeyhiP1fPS7CfB6y0FyVYea01oJ8fK1vfO/Dkx94RsXeh5sfKe9Q9aPFj7wXsGJMS7JGIva9elmBDrP60BCvb/SbYFT9W3qda0N+PDbGm8xKsbE9PwIPxY+Xd6iG0+rEPRewj9boE+0jEfgHW3Y/9ImCHfVuCNXvsJdpBBuSPxLBiq6h18lWJtQlQ6wj8k3xvScg37lKcUY0Z5JgBYUYi4iBHHAQiGjmiESxXltvRjPxdmUszRzQDEd18b8LaTOzfz/tjLQlA7OWIvRVElUeK79qMZUHehWmRkLN858JayJjS3H5jLdbzodryGsS9AoLn9jOa+dcoWsIICjVVRe1ZvsczMqLnKsQrit7MKA0PGTfLrYKLei2iuh5UV0S98aDeiKi5BzUXUQsPaiGi7Mp3ce2AGWD1j+9iSU88A9hHLi8ReAU7sOvcgjUawfw5Ai/wAbXcg79Nir2lUiUZRvO4T2KW43HBEk+htlQb0G6jwj2KrxNaYTFIxj3v6RgfnzC3sdRrjq3wWb6TR3nGJJzOkOQZ5HTQW4xoPdWjc5tazsi741o9/K183ZtaPfw+afyMvHiu1cPPtPSzc8je0tjWObBNWE0TrX1br0uD8y9Mw9Qv0a6LFhff6kjPGaT3uib9Q/1mDs/xXnapxvqx9Xo0Mmd8WWF8dWhYPWeOnutRQe+JvV5Ti2qPZKzjXluvK0NKu+hYy2Gf6r4Z7NPXb8bU69E4Ao9rl2LupVOvO3sn+WhsvR6NE8V5zzPy5E29Ho0BPbM+bL0eDcy2dHScb+t1LTtqgGNnW69r1ceUBcYcEM95brFe0ZT8pLmmNiT/oDpb4/r86/sY5mye5DFCNSXr25bT6eZ7WbVExl+IwarNasqB/sXc8cGKNJZqW4yvWIZZYX9fp2P3eNR8A7QYwernMwApZ56AhCYnEdM5zBOiVo0pjszgtkUczpLTFVRbt85Eb9Hy5axRse0ptUpxmR2t1WOb7HVGc29CPmGDNCvpoVH6hssoShpqFDQk06uju7d6vRa1vyniJiuIST7TenQixCdp1XGqT+tNR8dX9CnPDAqf+dj5i9nmU21tMOZJyRahLFU83X4mj+S24b56TdkcN38W0RtFe7UgqzGkE6lMjEJNtpi98SU9W9rHdCaHPJhGD95jpKlMFJ+aYRYd8+kRWVTX3kq8UV8mQ8f1jKyuscfV6IGDHnjQ9WOcXdgx7kKtBTHDMTy1AqKcS7muUtL4VP0yPx1N6Q1WR/RJwUIaGmxv4oKFrIqynxWovAI0zgaO0sNprNIx+PYaJTnq98ljY9ei5b9CJ7fmfLtDc7x8NpdnYvrEdZu4RrRq+FSXn1Y5sARL7yfb5L9WjxL51eGINlTi+sThzHoZ04l/TBHshDzjhFabtDqKvd381OonhtORMmfneJqdkoWMyP5FsD+lNCcj+nHvDpgTdLYICdnIELszzL0bn68zFOeY9eOGim812PkWky2bE39D111dGc1Fjhh4HzhbmdtGJw3yBWPiOtXW3a7t6t0HkfaehDtLmKKdK1eJ/0f02/yYebKxNiNQw/gGMm3rfO8jpZgFddShXb7aBpm+rpQf5jI80VLb/c/K9GFBsj2KuFAe3K37wLlHz8wLZ8mU5M7W+vA+WpXNRcqTFT3iaE8pime7P9A7MMp9jXbJDVpzbZolA5gFszyKMH2lLPIq32peRephtLP/C3Wr66LWkGKkbAaXNSTl92OK1lwpE5jVPH9f0Grya3260quaz5jm4shZy19D68/gt5HbPIfR6Raswg2aA0zBPlmNcEu01iOM140CLzMzDS37bPnZOWl6uS3nia/ZutkYe1GbyhHNmtc6a2Hq56Hx3KHxPFCHLTprtFo07cYSPRVji5Y+rQzlV4dbqwbluUhZ9sgMahggpRtLhVHti1TlGN+g3oq0NkVaHVit7mmAu+ZDkP61vrq6v85390jdJN+mRx4Yxy99WqVD8rlMa3WkxhSQ8yfavrqrv00tyL1LFhQp8z1OXDF86tSjcpZL+gu9s6Vk561FMPeWXuk+xsa2qf7rNeSI1kRG69IgPqEesZbflSNasUjXHZ8josx/h3wq9juqY2a3t30nUcGfsPEmryrLiyOFMelfyrwdrkWvh078GlFMONfedRdo1X/DSIExJpPg9ywzekO4y/FJAnu0XbKf63aKT/HGjkTXSeql+l2AjeGo1851d26ZEZuxfQw9Uev2rft6yPySYI4Sv/Oc6HVoVxtpH3W58nw+Wh29yxWfq/QwX+Fr9TGnPm5kYaO8IqatPg3mwhLV48KYEC71RlFH/nqS15GZT6dCKZvehnIx08A25hnFS9I9UET4vLurXm/uI2Ec3TV6XcK61LhFooTZuFTnB1xLi1mpi2v7ELderNyNEmcnKtspDHV3t7D2my1kTNYvUVLOhnu7srcLUYqchWEKPcU3esviQ5fmp1Dwd6R80aHhGJI7bIJ/u6N21f47uA3xUtc5oxlRC9qC/krs3dHjLPao1tFLh7pLP4RDOI8h6FqSfkg7aV3ZmbIsuUs9nP4rsgJTFYvS2571x+BykUeyzqnOeIZk2eTRDJX5Lk7dsRgOISMpcgnnw+ca0ihOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCTZ038u45oHU4raBudov/dRyGj+VUn1cot4y+a/Y84K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5t3TR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/31gvxthJc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGkG7G76lDdhJ/d3AOsezuUv0vJfxHr//5sH1pPyXqYLDpnDtrUFlP2w56i9enZ3p8tkxjv8vLd3ha04Fl4g1rxnu9d6o93fVuFsZV/g4TX+h2Vqn4hIlk93bPrqgsjKJ68cQ7IfM83orv0nMXim2ejgLNFc39qVaIlfSLfLOiW4ruOlD2aqxN9Vo8nB3jDvpPnhyL1K2rraDuPe67E+aiU89EK54y0U+Tw2vms+m5WGZddh0s/z50tdL+U4mx7nledG90r5cJ30Kvxgwr8wJGySdp/QZHwVFVn8+YVNOdaJveEdaxMJpL1gHFmJ3/f1ZHtooLXImD8t0vRtx1JD0CWLuW/IzphmxK9ROtmn6Tnm47VmdRbFdLq71E+vbyxtfp/GaxXTravb21e37q/vfHZDf3/HLyvfqp+rq7CGv+N+gyoHalj4PB79Rf1N/X3ncXOH3b+uPMn7vreBY35sSr82/nzfwGX8atT</latexit> Cuturi, 2017] <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> <latexit sha1_base64="m75fvIIJZfO41rSmbiCDgEUxaRI=">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</latexit> [L´ eonard 2012] <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">AABB0nictVzbchu5EYU3l107N2/ymJdJtE68KceRlK1KqrZStbIky1rTtmxSsndN28XLiKY95NAckr5w9ZDKaz4hr8lv5DvyB8lTfiF9AQYYEjONUbxGScKAON2NHqDR3QDdnSTDbLa5+a8LH3znu9/7/ocfXbz0gx/+6Mc/ufzxT0+ydD7txce9NEmnj7qdLE6G4/h4Npwl8aPJNO6Mukn8sPtyFz9/uIin2TAdt2ZvJ/GTUWcwHp4Oe50ZND27fPlxo/3rOB13pv1oe3Nr+8mzyxub1zfpX7Re2dKVDaX/HaUfR8eqrfoqVT01VyMVq7GaQT1RHZVBeay21KaaQNsTtYS2KdSG9HmsztQlwM6hVww9OtD6En4P4Omxbh3DM9LMCN0DLgn8TAEZqSuASaHfFOrILaLP50QZW8toL4kmyvYW/nY1rRG0ztRzaJVwpmcoDscyU6fqjzSGIYxpQi04up6mMietoOSRM6oZUJhAG9b78PkU6j1CGj1HhMlo7KjbDn3+b+qJrfjc033n6j8k5RUokWrq0ac5hY5aEP2I3uYcPmN5EuA8AAqxHiPWXpOuRzT6MfRfQvtdKGdUMzrpQllS61klcheKD7krIg+g+JAHIrIBxYdsiMgjKD7kkUYidko69+ObUHz4psj5PhQf8r6IfADFh3wgIk+g+JAnIvJrKD7k1yLyJhQf8qaIvA3Fh7wtIltQfMiWiDyG4kMei8h9KD7kvkaWr9QplJToDIVVuQP1Ig+0FAm07Ijy3SDr6MPeCFjTvRKsvKr34K8fuxeg07gEux8w705LsPLMOwAb6cfKtugW7SY+7C0RewgzwI89FLFfqhcl2C8DVtrLEqy81hrQz4+Vre8dePJj74jYu1DzY+U96h60+LH3AnaMSQn2SMTeV69KsCFWf1qCle1+E+yKHyvvUy3o78eGWNN5CVa2pyfgwfix8m71EFr92Ici9pF6U4J9JGK/Auvux34VsMO+K8GaPfYS7SAD8kdiWLFV1Dr5qsTaBKh1BP5Jvrck5Bt3oV3CDHLMgDAjEXGQIw4CEY0c0QiWK8vtaEb+rsylmSOagYhuvjdhbSb27+f9sZYEIPZyxN4KosojxXdtxrIg78K0SMhZvnNhLWRMaW6/sRbr+VBteQ3iXgHBc/s5zfxrFC1hBIWaqqL2PN/jGRnRcxXiNUVvZpSGh4yb5VbBRb0RUV0Pqiui3npQb0XU3IOai6iFB7UQUXblu7h2wAyw+sd3saQnngHsI5eXCLyCHdh1bsEajWD+HIEX+IBa7sHfJsXeUqmSDKN53Ccxy/GkYImnUFuqDWi3UeEexdcJrbAYJOOe93SMj0+Y21jqNcdW+CzfyaM8YxJOZ0jyDHI66C1GtJ7q0blNLWfk3XGtHv5Wvu5NrR5+nzR+Rl481+rhZ1r62Tlkb2ls6xzYJqymida+rdelwfkXpmHql2jXRYuLb3Wk5wzSe1OT/qF+M4fneC+7VGP92Ho9Gpkzvqwwvjo0rJ4zR8/1qKD3xF6vqUW1RzLWca+t15UhpV10rOWwT3XfDPbp6zdj6vVoHIHHtUsx99Kp1529k3w0tl6PxonivOcZefKmXo/GgJ5ZH7ZejwZmWzo6zrf1upYdNcCxs63XtepjygJjDojnPLdYr2hKftJcUxuSf1CdrXF9/vV9DHM2T/MYoZqS9W3L6XTzvaxaIuMvxGDVZjXlQP9i7vhgRRpLtS3GVyzDrLC/r9OxezxqvgFajGD18xmAlDNPQEKTk0DrnQDFLTHqKo7M4LZFHM6S0xVUW7fORG/R8uWsUbHtGbVKcZkdrdVjm+x1RnNvQj5hgzQr6aFR+obLKEoaahQ0JNOro7t3er0Wtb8p4iYriEk+03p0IsQnadVxqk/rTUfHV/QpzwwKn/nY+YvZ5lNtbTDmSckWoSxVPN1+Jo/ktuG+ek3ZHDd/FtEbRXu1IKsxpBOpTIxCTbaYvfElPVvax3QmhzyYRg/eY6SpTBSfmmEWHfPpEVlU195KvFFfJkPH9YysrrHH1eiBgx540PVjnF3YMe5CrQUxwzE8tQKinEu5rlLS+FT9Nj8dTekNVkf0ScFCGhpsb+KChayKsp8XqLwGNM4GjtLDaazSMfj2GiU56vfJY2PXouW/Qie35ny7Q3O8fDaXZ2L6xHWbuEa0avhUl59WObAES+8n2+S/Vo8S+dXhiDZU4vrU4cx6GdOJf0wR7IQ844RWm7Q6ir3d/NTqJ4bTkTJn53ianZKFjMj+RbA/pTQnI/px7w6YE3S2CAnZyBC7M8y9G5+vMxTnmPXjhopvNdj5FpMtmxN/Q9ddXRnNRY4YeB84W5nbRicN8gVj4jrV1t2u7erdB5H2noQ7S5iinStXif+n9Nv8mHmysTYjUMP4BjJt63zvI6WYBXXUoV2+2gaZvq6Un+QyPNVS2/3PyvRJQbI9irhQHtyt+8C5R8/MC2fJlOTO1vrwPlqVzUXKkxU94mhPKYpnuz/QOzDKfY12yQ1ac22aJQOYBbM8ijB9pSzyKt9qXkXqYbSzb4W61XVRa0gxUjaDyxqS8vsxRWuulAnMap6/L2k1+bU+XelVzWdMc3HkrOVvoPUX8NvIbZ7D6HQLVuEGzQGmYJ+sRrglWusRxutGgZeZmYaWfbb87Jw0vdyW88TXbN1sjL2oTeWIZs0bnbUw9fPQeOHQeBGowxadNVotmnZjiZ6JsUVLn1aG8qvDrVWD8lykLHtkBjUMkNKNpcKo9kWqcoxvUO9EWpsirQ6sVvc0wF3zIUj/Wl9d3d/ku3ukbpJv0yMPjOOXPq3SIflcprU6UmMKyPkzbV/d1d+mFuTeJQuKlPkeJ64YPnXqUTnLJf2V3tlSsvPWIph7S691H2Nj21T//RpyRGsio3VpEJ9Rj1jL78oRrVik647PEVHmv0M+Ffsd1TGz29u+k6jgT9h4k1eV5cWRwpj0L2XeDtei10Mnfo0oJpxr77oLtOq/YaTAGJNJ8HuWGb0h3OX4JIE92i7Zz3U7xad4Y0ei6yT1Uv0pwMZw1Gvnuju3zIjN2H4DPVHr9q37esj8kmCOEr/znOh1aFcbaR91ufJ8PlodvcsVn6v0MF/ha/Uxpz5uZGGjvCKmrT4P5sIS1ePCmBAu9UZRR/56kteRmU+nQimb3oZyMdPANuY5xUvSPVBE+Ly7q15v7lNhHN01el3CutS4RaKE2bhU5wdcS4tZqYtr+xC3XqzcjRJnJyrbKQx1d7ew9pstZEzWL1FSzoZ7u7K3C1GKnIVhCj3FN3rL4kOX5udQ8HekfNGh4RiSO2yCf7ujdtX+e7gN8UrXOaMZUQvagv5K7N3R4yz2qNbRK4e6Sz+EQziPIehakn5IO2ld2ZmyLLlLPZz+a7ICUxWL0tue9cfgcpFHss6pzniGZNnk0QyV+S5O3bEYDiEjKXIJ58PnGtIoTpX5TlO9MRjq8giKHOrwMPcYwt657V2fl8upWl/rXEJ58C5gTlwMDk/+ymMV2y/EQk2dN/L+OaB1OK2gbnaL/3ccho/lVJ9XKLeMvmv2IuCtc79YZ2TRH66/Ziy3kNlczjGcZ5qPznpLfn7s90W13lTqjOb900d/1M4Bw2upOA8qS8d4dxZZeUOp4LmAT4ZU/Vf984L8bYRXOY0yOepQMucU5dRMD5ma+calb3TmsxCZLJ0ymYrUbBzRpBuxu+pQ3YSf3dwDrHs7lL9LyX8R6//+bB9aT8l6mCw6Zw7a1BZT9sOeovXp2d6fLZMY7/Ly3d4WtOBZeINa8Z7vXeqPd31bhbGVf4OE1/odlap+ISJZPd2z66oLIyievHEOyHzPN6K79JzF4ptno4CzRXN/alWiJX0i3yzoluK7jpQ9mqsTfVaPJwd4w76T54ci9Ttq62g7j3uuxPmolPPRCueMtFPk8Mb5rPpuVhmXXYdLP8+dLXS/lOJse55XnRvdK+XCd9Cr8YMK/MCRsknaf0mR8FRVZ/PmFTTnWib3hHWsTCaS9YBxZid/39WR7aKC1yJg/LdL0bcdSQ9Ali7lvyM6YZsSvUTrZp+k55uO1ZnUWxXS6u9RPru8sbX6fxmsV062r29tXt+6v73xxQ39/xx8pH6ufqmuwhr/g/oCqB2pY+CwUH9Tf1f/2GntvNv5885fuOsHFzTmZ6rwb+ev/wNuxKXO</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> <latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> Theorem: <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">AABB03ictVzNchu5EYY3f2vnz06OuUyidWo35TiSslVJZStVK0uyrDVtyyYle3dpu/gzomgPOTSHlGRzdUnlmkfINXmMPEfeIDnlFdI/wABDYqYximOUJAyIr7vRAzS6G6C7k2SYzdbX/3nlg299+zvf/d6HV699/wc//NGPr9/4yVGWzqe9+LCXJun0WbeTxclwHB/OhrMkfjaZxp1RN4mfdl9v4+dPT+NpNkzHrdnbSfx81BmMh8fDXmcGTS+v32jP4nPALVoncTqNR3+4eHl9bf32Ov2LVisburKm9L+D9EZ0qNqqr1LVU3M1UrEaqxnUE9VRGZSv1YZaVxNoe64W0DaF2pA+j9WFugbYOfSKoUcHWl/D7wE8fa1bx/CMNDNC94BLAj9TQEbqJmBS6DeFOnKL6PM5UcbWMtoLoomyvYW/XU1rBK0zdQKtEs70DMXhWGbqWP2exjCEMU2oBUfX01TmpBWUPHJGNQMKE2jDeh8+n0K9R0ij54gwGY0ddduhz/9FPbEVn3u671z9m6S8CSVSTT36NKfQUadEP6K3OYfPWJ4EOA+AQqzHiLUz0vWIRj+G/gtofwjlgmpGJ10oC2q9qERuQ/Eht0XkHhQfck9ENqD4kA0ReQDFhzzQSMROSed+fBOKD98UOT+G4kM+FpFPoPiQT0TkERQf8khEfgXFh/xKRN6F4kPeFZH3ofiQ90VkC4oP2RKRh1B8yEMRuQvFh9zVyPKVOoWSEp2hsCq3oF7kgZYigZYtUb47ZB192DsBa7pXgpVX9Q789WN3AnQal2B3A+bdcQlWnnl7YCP9WNkW3aPdxIe9J2L3YQb4sfsi9gv1qgT7RcBKe12ClddaA/r5sbL1fQBPfuwDEfsQan6svEc9ghY/9lHAjjEpwR6I2MfqTQk2xOpPS7Cy3W+CXfFj5X2qBf392BBrOi/Byvb0CDwYP1berZ5Cqx/7VMQ+U+cl2Gci9kuw7n7slwE77LsSrNljr9EOMiB/JIYVW0Wtk69KrE2AWkfgn+R7S0K+cRfaJcwgxwwIMxIRezliLxDRyBGNYLmy3I5m5O/KXJo5ohmI6OZ7E9ZmYv9+3h9rSQBiJ0fsLCGqPFJ812Ysp+RdmBYJOct3LqyFjCnN7TfWYj0fqi2vQTwqIHhun9DMv0XREkZQqKkqaif5Hs/IiJ6rEGcUvZlRGh4ybpZbBRd1LqK6HlRXRL31oN6KqLkHNRdRpx7UqYiyK9/FtQNmgNU/vosFPfEMYB+5vETgFWzBrnMP1mgE8+cAvMAn1PII/jYp9pZKlWQYzeM+iVmO5wVLPIXaQq1Bu40Kdyi+TmiFxSAZ93ykY3x8wtzGQq85tsIX+U4e5RmTcDpDkmeQ00FvMaL1VI/OfWq5IO+Oa/Xw9/J1b2r18Luk8Qvy4rlWDz/T0s8uIXtLY1uXwDZhNU209m29Lg3OvzANU79Guy5aXHyrIz1nkN55Tfr7+s3sX+K9bFON9WPr9Whkzviywvjq0LB6zhw916OC3hN7vaYW1R7JWMe9tl5XhpR20bGWwz7VfTPYp6/fjKnXo3EAHtc2xdwLp1539k7y0dh6PRpHivOeF+TJm3o9GgN6Zn3Yej0amG3p6Djf1utadtQAx862XteqjykLjDkgnvPcYr2iKflJc01tSP5BdbbG9flX9zHM2bzIY4RqSta3LafTzfeyaomMvxCDVZvVlAP9i7njgxVpLNSmGF+xDLPC/r5Kx+7xqPkGaDGC1c9nAFLOPAEJTU4CrXcCFDfEqKs4MoPbFHE4S46XUG3dOhO9RcuXs0bFtpfUKsVldrRWj22y1xnNvQn5hA3SrKSHRukbLqMoaahR0JBMr47u3un1WtT+uoibLCEm+Uzr0YkQn6RVx6k+rTcdHd/UpzwzKHzmY+cvZpuPtbXBmCclW4SyVPF0+5k8ktuG++otZXPc/FlEbxTt1SlZjSGdSGViFGqyxeyNL+jZ0j6kMznkwTR68B4jTWWi+NQMs+iYT4/Iorr2VuKN+jIZOq5nZHWNPa5GDxz0wIOuH+Nsw47xEGotiBkO4akVEOVcy3WVksan6tf56WhKb7A6ok8KFtLQYHsTFyxkVZR9UqByBmicDRylh9NYpmPw7RVKctTvk8fGrkXLf5NObs35dofmePlsLs/E9InrJnGNaNXwqS4/LXNgCRbeTzbJf60eJfKrwxFtqMT1hcOZ9TKmE/+YItgJecYJrTZpdRR7u/mp5U8MpwNlzs7xNDslCxmR/Ytgf0ppTkb0494dMCfobBESspEhdmeYezc+X2cozjHrxw0V32qw8y0mWzYn/oauu7oymoscMfA+cLE0t41OGuQLxsR1qq27XdvVuw8i7T0Jd5YwRTtXPib+n9Bv82PmydrKjEAN4xvItK3zvY+UYhbUUYd2+WobZPq6Un6Uy/BCS233PyvTRwXJdijiQnlwt+4D5x49My+cJVOSO1vpw/toVTYXKU+W9IijPaYonu3+QO/AKPct2iXXaM21aZYMYBbM8ijC9JWyyMt8q3kVqYfRzv4v1K2ui1pDipGyGVzWkJTfjylac6VMYFbz/H1Nq8mv9elSr2o+Y5qLI2ctfwOtP4ffRm7zHEanW7AKd2gOMAX7ZDXCLdFKjzBedwq8zMw0tOyz5WfnpOnltlwmvmbrZmPs09pUDmjWnOushalfhsYrh8arQB226KzRatG0G0v0UowtWvq0MpRfHW6tGpTnImXZIzOoYYCUbiwVRrUvUpVjfIN6J9JaF2l1YLW6pwHumg9B+tf68ur+Jt/dI3WXfJseeWAcv/RplQ7J5zKt1ZEaU0DOn2r76q7+NrUg9y5ZUKTM9zhxxfCpU4/KRS7pL/XOlpKdtxbB3Fs6032MjW1T/bcryBGtiYzWpUF8Sj1iLb8rR7RkkW47PkdEmf8O+VTsd1THzG5v+06igj9h401eVZYXRwpj0r+UedtfiV73nfg1ophwrr3rLtCq/4aRAmNMJsHvWWb0hnCX45ME9mi7ZD9X7RSf4o0diW6T1Av1xwAbw1Gvnevu3DIjNmP7FfRErdu37ush80uCOUr8LnOi16FdbaR91MXS8+VodfQuV3yu0sN8ia/Vx5z6uJGFjfKKmLb6LJgLS1SPC2NCuNQbRR3560leR2Y+nQqlbHobysVMA9uYE4qXpHugiPB5dx97vblPhHF0V+h1CetS4xaJEmbjUp0fcC0tZqWuruxD3Hq1cjdKnJ2obKcw1N3dwtpvtpAxWb9ESTkb7u3K3i5EKXIWhin0FN/oLYsPXZqfQcHfkfJFh4ZjSO6wCf7tltpWu+/hNsQbXeeMZkQtaAv6S7F3R4+z2KNaR28c6i79EA7hPIaga0n6Ie2kdWVnyrLkLvVw+mdkBaYqFqW3PeuPweUij2SVU53xDMmyyaMZKvNdnLpjMRxCRlLkEs6HzzWkURwr852memMw1OURFDnU4WHuMYS9c9u7Pi+XU7W+VrmE8uBdwJy4GBye/JXHKrZfiIWaOm/k/XNA63BcQd3sFv/rOAwfy6k+r1BuGX3X7FXAW+d+sc7Ioj9cf81YbiGzuZxjOM80H531lvz82O+Lar2p1BnN+6eP/qidA4bXQnEeVJaO8e4ssvKGUsFzAZ8MqfqP+scV+dsIb3IaZXLUoWTOKcqpmR4yNfONS9/ozGchMlk6ZTIVqdk4okk3YrfVvroLP9u5B1j3dih/l5L/Itb//dk+tB6T9TBZdM4ctKktpuyHPUXr07O9P1smMd7l5bu9LWjBs/AGteI934fUH+/6tgpjK/8GCa/1BypV/UJEsny6Z9dVF0ZQPHnjHJD5nm9Ed+k5i8U3z0YBZ4vm/tSyRAv6RL5Z0C3Fdx0pezRXJ/qsHk8O8IZ9J88PReo31NbRdh73XInzQSnngyXOGWmnyOHc+az6blYZl22HSz/PnZ3qfinF2fY8rzo3ulPKhe+gV+MHFfiBI2WTtP+aIuGpqs7mzStozrVM7gnrWJlMJOsB48xO/r6rI9vTCl6nAeO/X4q+70i6B7J0Kf8d0QnblOglWje7JD3fdKzOpN6rkFZ/j/Ll9bWN5f/LYLVytHl7Y/32xuPNtc/v6P/n4EP1M/UL9TGs8d+pz4HagToEDmfqr+pv6u9bh1uLrT9t/Zm7fnBFY36qCv+2/vJfkZin9w==</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> <latexit sha1_base64="O5FT/xua9A8E97A3ls2uRiNAbm0=">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</latexit> 1 2 ||↵ ||2 dp <latexit sha1_base64="uo2R6Eh4KXo54BjWqg9RXWBYUVA=">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</latexit> Key problem: when is k(x, y) = d(x, y)p a universal <latexit sha1_base64="HxAKm25RPr6nAbmkFGHVik0hUcY=">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</latexit> conditionaly positive kernel? Proposition: || · || ||·||p is a norm for 0 < p < 2. <latexit sha1_base64="4pptgoscNwjR4G+wlzGlki25V8o=">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</latexit> <latexit sha1_base64="4pptgoscNwjR4G+wlzGlki25V8o=">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</latexit> <latexit sha1_base64="4pptgoscNwjR4G+wlzGlki25V8o=">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</latexit> <latexit sha1_base64="4pptgoscNwjR4G+wlzGlki25V8o=">AABEY3ictVxtcxu3EYbTt9jpi5P2W6czl0ruJB1HldTMtNOkM7ElWVYs27RJyU5CW8OXI332kUffkbRshtMf1R/Q35Gv7XSm/dS/0N0FcMCRuFuc6hojCQfi2V3sAYvdBejuJI6y6fb2d5fe+d73f/DDH717+cp7P/7JT3929f0PTrNklvbCk14SJ+njbicL42gcnkyjaRw+nqRhZ9SNw0fdF3v4+aN5mGZRMm5NX0/CJ6POcBwNol5nCk1nV++2p+E54BaNNJkkWYStf1oGm+1xko4W7V4/mS7PFp/Yj08ny80gyoJOgI3BIEmDze3PJ5/vbm6dXd3Y3tqmf8F6ZUdVNoT610je//Avoi36IhE9MRMjEYqxmEI9Fh2RQflG7IhtMYG2J2IBbSnUIvo8FEtxBbAz6BVCjw60voDfQ3j6RrWO4RlpZoTuAZcYflJABuIaYBLol0IduQX0+YwoY2sZ7QXRRNlew9+uojWC1ql4Bq0cTvf0xeFYpmIg/khjiGBME2rB0fUUlRlpBSUPrFFNgcIE2rDeh89TqPcIqfUcECajsaNuO/T5v6gntuJzT/WdiX+TlNegBKKpRp/kFDpiTvQDepsz+EzKEwPnIVAI1Rix9op0PaLRj6H/AtrvQVlSTeukC2VBrctK5B4UF3KPRR5CcSEPWeQxFBfymEU2oLiQDYVEbEo6d+ObUFz4Jsv5ARQX8gGLfAjFhXzIIk+huJCnLPJrKC7k1yzyFhQX8haLvAPFhbzDIltQXMgWizyB4kKesMgDKC7kgUKWr9QUSkJ0ImZV3oB6kQdaihhabrDy3STr6MLe9FjTvRIsv6r34a8bu++h07AEe+Ax7wYlWH7mHYKNdGN5W3SbdhMX9jaLPYIZ4MYesdgvxfMS7JceK+1FCZZfa8fQz43lre9deHJj77LYe1BzY/k96j60uLH3PXaMSQm2wWIfiJclWB+rn5ZgebvfBLvixvL7VAv6u7E+1nRWguXt6Sl4MG4sv1s9glY39hGLfSzOS7CPWexXYN3d2K88dtg3JVi9x16hHWRI/kgIK7aKWidflVibALUOwz/O95aYfOMutHOYYY4ZEmbEIg5zxKEn4jhHHHvLleV2NCN/l+fSzBFNT0Q335uwNmX79/P+WIs9EPs5Yn8FUeWR4rvWY5mTd6FbOOQ037mw5jOmJLffWAvVfKi2vBpxv4CQc/sZzfzrFC1hBIWaqqL2LN/jJTKg5yrEK4re9Cg1Dx43za2CjTpnUV0HqsuiXjtQr1nUzIGasai5AzVnUWbl27i2xwww+sd3saAnOQOkj1xeAvAKbsCucxvWaADzpwFe4ENquQ9/mxR7c6VKMozmcZ/ELMeTgiVOobYQG9BuosJ9iq9jWmEhSCZ73lcxPj5hbmOh1py0wst8Jw/yjIk/nYjkGeZ00FsMaD3Vo3OHWpbk3claPfztfN3rWj38AWl8SV68rNXDT5X00wvI3lLY1gWwTVhNE6V9U69LQ+ZfJA1dv0K7LlpcfKsjNWeQ3nlN+kfqzRxd4L3sUU3qx9Tr0cis8WWF8dWhYfScWXquRwW9J+n16lpQeyRjFfeael0ZEtpFx0oO81T3zWCfvnozul6PRgM8rj2KuRdWve7sneSjMfV6NE6FzHsuyZPX9Xo0hvQs9WHq9WhgtqWj4nxTr2vZUQMydjb1ulZ9TFlgzAHJOS9bjFeUkp80U9Qi8g+qszW2z7++j2HO5mkeI1RTMr5tOZ1uvpdVS6T9hRCs2rSmHOhfzCwfrEhjIXbZ+ErKMC3s7+t0zB6Pmj8GLQaw+uUZAJczj0FCnZNA6x0DxR026iqOTON2WRzOksEKqq1ap6y3aPjKrFGx7YxaubjMjNbosU32OqO5NyGf8Jg0y+nhuPQNl1HkNHRc0BBPr47u3qj1WtT+NoubrCAm+Uzr0YmQPEmrjlNdWm9aOr6mTnmmUOSZj5m/mG0eKGuDMU9CtghlqeJp99N5JLsN99XrwuS45WcBvVG0V3OyGhGdSGVsFKqzxdIbX9CzoX1CZ3LIQ9LowXsMFJWJkKdmmEXHfHpAFtW2txxv1JfO0Ml6RlZX2+Nq9NBCDx3o+jHOHuwY96DWgpjhBJ5aHlHOlVxXCWk8FZ/kp6MJvcHqiD4uWEhNQ9qbsGAhq6LsZwUqrwCNs0FG6f40VulofHuNEh/1u+QxsWvR8l+jk1t9vt2hOV4+m8szMX3iuktcA1o18lRXPq1ykBIsnJ/skv9aPUrkV4cj2lCO61OLs9TLmE78Q4pgJ+QZx7TauNVR7G3np1Y/0ZwaQp+d42l2QhYyIPsXwP6U0JwM6Me+O6BP0KVFiMlG+tidKPduXL5OxM4x48dFQt5qMPMtJFs2I/6arr26MpqLMmKQ+8ByZW5rnRyTLxgS11RZd7O2q3cfRJp7EvYskRTNXPmI+H9Mv/WPnicbazMCNYxvIFO2zvU+EopZUEcd2uWrbZDua0u5mcvwVElt9j8j02ZBsn2KuFAe3K37wLlHz5IXzpKU5M7W+sh9tCqbi5QnK3rE0Q4oipd2f6h2YJT7Ou2SG7Tm2jRLhjALpnkUoftyWeRVvtW8itT9aGf/F+pG10WtIcVAmAyu1BCX3w8pWrOljGFWy/n7glaTW+vpSq9qPmOaiyNrLX8LrR/Cby23fvaj0y1YhZs0ByQF82Q0IluCtR5+vG4WeOmZqWmZZ8PPzEndy265SHwtrZuJsee1qTRo1pyrrIWuX4TGc4vGc08dtuis0WhRt2tLdMbGFi11WunLrw63Vg3KM5Yy75FpVOQhpR1L+VHts1T5GF+j3rC0tllaHVit9mmAveZ9kO61vrq6v81390DcIt+mRx6YjF/6tEoj8rl0a3WkJikg50+VfbVXf5takHuXLChSlvc4ccXIU6celWUu6W/UzpaQnTcWQd9beqX6aBvbpvrv15AjWhMZrUuN+JR6hEp+W45gxSJtWT5HQJn/DvlU0u+ojpnt3uadBAV/wsSbclUZXjJSGJP+uczb0Vr0emTFrwHFhDPlXXeBVv03jBQkRmcS3J5lRm8Idzl5kiA92i7Zz3U7JU/xxpZEWyT1QvzZw8bIqNfMdXtu6RHrsf0WeqLWzVt39eD5xd4cOX4XOdHr0K42Uj7qYuX5YrQ6apcrPlfpYbbC1+hjRn3syMJEeUVMW3zmzUVKVI+LxPhwqTeKOvLXk7yOzPJ0ypey7q0pFzMN0sY8o3iJuweKCJd395HTm/uYGUd3jV6XsDY12cJRwmxcovIDtqXFrNTltX1Itl6u3I1iaycq2yk0dXu3MPZbWsiQrF8suJyN7G3L3i5EKXwWRlLoCXmjtyw+tGl+BgV/B8IVHWqOPrnDJvi3N8SeOHgLtyFeqrrMaAbUgragvxJ7d9Q4iz2qdfTSom7T9+HgzyMCXXPSR7ST1pVdUuYlt6n7039FViAVISu96Vl/DDYXfiTrnOqMJyLLxo8mEvq7OHXHojn4jKTIxZ+PPNfgRjEQ+jtN9cagqfMjKHKow0PfY/B756Z3fV42p2p9rXPx5SF3AX3ionF48lceq5h+PhYqtd7I2+eA1mFQQV3vFv/rODQfw6k+L19uGX3X7LnHW5f9QpWRRX+4/pox3HxmczlHf55JPjrjLbn5Sb8vqPWmEms0b58++qNmDmheCyHzoLx0Em/PIiOvLxU8F3DJkIj/iL9d4r+N8DKnUSZHHUr6nKKcmu7BU9PfuHSNTn/mI5OhUyZTkZqJI5p0I3ZPHIlb8LOXe4B1b4fK71LKv4h1f3+2D60Dsh46iy4zB21qCyn7YU7R+vRs7s+WSYx3eeXd3ha04Fn4MbXiPd971B/v+rYKYyv/Bolc63dFIvqFiGT1dM+sqy6MoHjyJnNA+nu+Ad2ll1ksefNs5HG2qO9PrUq0oE/4mwXdUnzXkrJHc3Wizurx5ABv2Hfy/FAgfkdtHWXncc/lODdKOTdWOGeknSKHc+uz6rtZZVz2LC79PHc2V/0SirPNeV51bnS/lIu8g16NH1bgh5aUTdL+C4qEU1GdzZtV0JwpmewT1rHQmUipB4wzO/n7ro5s5xW85h7jv1OKvmNJegiydCn/HdAJW0r0YqWbA5Je3nSszqTerpBWf49S0jR3Hc080LcWq7P0sZp3MnOh/zeCBa0H3E31zUQuexKW0OnSjcCQKMk7kty5AS8PL42PLByVGSvJzOPbu3MPWeYedAaMNAOWwpCVRK3gs6sbO6v/P8Z65XR3a2d7a+fB7sYXN9X/nfGu+KX4tfgI9o0/iC9ghjbECXD6q/hO/F38Y++f++/tf7D/C9n1nUsK83NR+Lf/q/8CPUY1ow==</latexit> <latexit sha1_base64="RAaLm1CEm2A/AOmfQUcrublbtWs=">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</latexit> For p = 2: <latexit sha1_base64="2Vjt5TdfsjhzL2RS6sYja/1FGHY=">AABB+3ictVxLcxTJES7Wj13wi10ffWlb4AAHi4WW8JrY2IgVkhBaBhDMSLC7A8Q8WkNDz/QwPSMEw/wWH3xz+OqzT77aZ/8D++S/4HxUdVXPVHdVyVilR3V1fZlZ2VVZmVk96o7TJJ+ur//zzAff+/4PfvjhR2fP/ejHP/npz85//Mlhns0mvfigl6XZ5HG3k8dpMooPpsk0jR+PJ3Fn2E3jR92XW3j/0XE8yZNs1Jq+GcdPhp3BKDlKep0pND07f+NCe5RNhvP2SbJ4Nv9UXvT62XTxdAO+oy+jd1E7GU2jk6jdj6DbpZPL76D9wrPza+tX1+krWq1ck5U1Ib/2s4+jA9EWfZGJnpiJoYjFSEyhnoqOyKF8J66JdTGGtidiDm0TqCV0PxYLcQ6wM+gVQ48OtL6E3wO4+k62juAaaeaE7gGXFH4mgIzERcBk0G8CdeQW0f0ZUcbWKtpzoomyvYG/XUlrCK1T8RxaXTjV0xeHY5mKI/F7GkMCYxpTC46uJ6nMSCsoeWSMagoUxtCG9T7cn0C9R0il54gwOY0ddduh+/+intiK1z3Zdyb+TVJehBKJphx9VlDoiGOiH9HTnME9licFzgOgEMsxYu016XpIox9B/zm034OyoJrSSRfKnFoXtcgtKDbklhO5C8WG3HUiG1BsyIYTuQ/FhtyXSMROSOd2fBOKDd90cn4AxYZ84EQ+hGJDPnQiD6HYkIdO5LdQbMhvnchbUGzIW07kHSg25B0nsgXFhmw5kQdQbMgDJ3IHig25I5HVK3UCJSM6iWNVbkK9zAMtRQotm075bpJ1tGFveqzpXgXWvaq34a8du+2h07gCu+Mx744qsO6Ztws20o5126LbtJvYsLed2D2YAXbsnhP7tXhRgf3aY6W9rMC611oD+tmxbut7F67s2LtO7D2o2bHuPeo+tNix9z12jHEFdt+JfSBeVWB9rP6kAuu2+02wK3ase59qQX871seaziqwbnt6CB6MHeverR5Bqx37yIl9LE4qsI+d2G/Autux33jssG8rsGqPPUc7yID8kRhWbB21TrEqsTYGah0H/7TYW1LyjbvQ7sIMCsyAMEMnYrdA7HoiGgWi4S1XXtjRnPxdN5dmgWh6IrrF3oS1qbN/v+iPtdQDsV0gtpcQdR4pPms1lmPyLlSLCzktdi6s+YwpK+w31mI5H+otr0LcLyF4bj+nmX+FoiWMoFBTddSeF3s8IyO6rkO8puhNjVLxcOOmhVUwUSdOVNeC6jpRbyyoN07UzIKaOVHHFtSxE6VXvolre8wArX98FnO64hnAPnJ1icAr2IRd5zas0Qjmzz54gQ+p5T78bVLs7Sp1kmE0j/skZjmelCzxBGpzsQbtOircpvg6pRUWg2Tc876M8fEKcxtzuebYCi+KnTwqMib+dBKSZ1DQQW8xovUURucOtSzIu+NaGP52se5VLQy/QxpfkBfPtTD8VEo/PYXsLYltnQLbhNU0ltrX9VAanH9hGqp+jnZdtLj4VIdyziC9k0D6e/LJ7J3iuWxRjfWj62E0cmN8eWl8ITS0nnNDz2FU0Htir1fVouCRjGTcq+uhMmS0i46kHPoq9Mlgn758MqoeRmMfPK4tirnnRj109o6L0eh6GI1DwXnPBXnyqh5GY0DXrA9dD6OB2ZaOjPN1PdSyowY4dtb1UKs+oiww5oB4znOL9oom5CfNJLWE/IP6bI3p86/uY5izeVrECPWUtG9bTadb7GX1Eil/IQarNg2UA/2LmeGDlWnMxYYzvmIZpqX9fZWO3uNR8w3QYgSrn88AXDnzFCRUOQm03ilQvOaMusojU7gNJw5nydESqi1bp05vUfPlrFG57Rm1uuIyPVqtxzbZ65zm3ph8wgZp1qWHRuUTrqLo0lCjpCE3vRDdvZXrtaz9dSduvIQYFzOtRydCfJJWH6fatN40dHxRnvJMofCZj56/mG0+ktYGY56MbBHKUsfT7KfySGYb7qtXhM5x872Inijaq2OyGgmdSOXOKFRli9kbn9O1pn1AZ3LIg2n04DlGkspY8KkZZtExnx6RRTXtrYs36ktl6Liek9VV9rgePTDQAws6PMbZgh3jHtRaEDMcwFXLI8o5V+gqI41PxKfF6WhGT7A+ok9LFlLRYHsTlyxkXZT9vETlNaBxNnCU7k9jmY7Ct1couaN+mzw6di1b/ot0cqvOtzs0x6tnc3Umpk9cN4hrRKuGT3X5apkDSzC33tkg/7V+lMgvhCPaUBfXpwZn1suITvxjimDH5BmntNpcq6Pc28xPLd9RnPaFOjvH0+yMLGRE9i+C/SmjORnRj/nugDpBZ4uQko30sTtJ4d3YfJ3EOce0H5cIfqtBz7eYbNmM+Cu65urKaS5yxMD7wGJpbiudNMgXjInrRFp3vbbrdx9E6vckzFnCFPVcuUT8L9Nv9aPmydrKjEAN4xPIpa2zPY+MYhbUUYd2+XobpPqaUl4oZHgqpdb7n5bpQkmybYq4UB7crfvAuUfXzAtnyYTkzlf68D5al81FyuMlPeJojyiKZ7s/kDswyn2Fdsk1WnNtmiUDmAXTIopQfV1Z5GW+9bzK1P1o5/8X6lrXZa0hxUjoDC5ryJXfjylaM6VMYVbz/H1Jq8mu9clSr3o+I5qLQ2Mtv4PWX8JvJbe69qPTLVmFmzQHmIK+0hrhlmilhx+vmyVeamYqWvpa89NzUvUyW04TX7N10zH2cTCVfZo1JzJroeqnofHCoPHCU4ctOmvUWlTtyhI9c8YWLXla6csvhFsrgPLMSdntkSlU4iGlGUv5Ue07qbpjfIV666S17qTVgdVqngaYa94HaV/ry6v7XbG7R+IW+TY98sA4funTKk3I51Kt9ZEaU0DO16V9NVd/m1qQe5csKFLm9zhxxfCpU4/KopD013Jny8jOa4ug3lt6LfsoG9um+mcryCGtiZzWpUJcpx6xlN+UI1qySFcNnyOizH+HfCr2O+pjZrO3fiZRyZ/Q8SavKs2LI4UR6d+VedtbiV73jPg1ophwJr3rLtAKf8JIgTEqk2D3LHN6QrjL8UkCe7Rdsp+rdopP8UaGRFdJ6rn40sPGcNSr57o5t9SI1dh+Az1R6/qp23q4+aXeHF38TnOi16FdbSh91PnS9elodeQuV76u08Nsia/Wx4z6mJGFjvLKmLb4wpsLSxTGhTE+XMJGESJ/mOQhMvPplC9l1VtRLmca2MY8p3jJ9R4oImze3SWrN3fZMY7uCr0uYU1q3OKihNm4TOYHTEuLWamzK/sQt56t3Y1SYyeq2ikUdXO30PabLWRM1i8VrpwN9zZlb5eiFHcWhin0BL/RWxUfmjS/gIK/I2GLDhVHn9xhE/zbTbEldt7D2xCvZJ0zmhG1oC3oL8XeHTnOco96Hb0yqJv0fTj480hA1y7pE9pJQ2Vnym7JTer+9F+TFZiI2Cm97hk+BpOLeySrnELGk5Blc48mEeqzOKFjURx8RlLm4s+HzzVcozgS6jNNYWNQ1N0jKHMI4aHeY/B75rp3OC+TU72+Vrn48uBdQJ24KBye/FXHKrqfj4WaGE/k/XNA63BUQ13tFv/rOBQfzSmcly+3nD5r9sLjqXO/WGZk0R8OXzOam89srubozzMrRqe9JTs/9vuioCeVGaN5//TRH9VzQPGaC86DuqVjvDmLtLy+VPBcwCZDJv4j/nrG/WmEVwWNKjlCKKlzimpqqoebmvrEpW106p6PTJpOlUxlajqOaNIbsVtiT9yCn63CAwx9O5Q/S8l/EWv//GwfWo/IeqgsOmcO2tQWU/ZDn6L16Vq/P1slMb7Ly+/2tqAFz8Ib1Irv+d6j/viub6s0tupPkPBavysy0S9FJMune3pddWEE5ZM3zgGpz/lG9C49Z7H4zbOhx9mien9qWaI53XG/WdCtxHcNKXs0V8fyrB5PDvAN+06RH4rEb6mtI+087rkuzvuVnPeXOOeknTKHE+Ne/btZVVy2DC79Ind2LPtlFGfr87z63Oh2JRd+B70eP6jBDwwpm6T9lxQJT0R9Nm9WQ3MmZTJPWEdCZSJZDxhndornXR/ZHtfwOvYY/51K9B1D0l2QpUv574hO2CZEL5W62SHp+U3H+kzq7Rpp5eco6b8b3KCviCufX5eVG9eK/25wuHH12u+ufvZgY+2rm/L/HHwkfiF+JS7BGv9cfAXU9sUBcPiD+Jv4u/jH5mLzj5t/2vwzd/3gjMT8XJS+Nv/yX6vjtvQ=</latexit> ||⇠||2 ||·||2 = | R xd⇠(x)|2 <latexit sha1_base64="lIZudIBRCiG9eS2Vm4An8dQXrNg=">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</latexit> For p = 1: ˙ H d+1 2 (Rd) Sobolev norm;
  57. Sinkhorn Divergences Positivity concave <latexit sha1_base64="NGCGb9j9PjaGiCt5eqRJdYYEdaU=">AAB283ic7V1bcxzHdW47Nwu5yfajXyYBFYMMSQOQHKXkqGIQAElQEAERAEUJCyJ7GQBL7U17AQGtV38kD6lK5SGpVH5Bfkne8+KfkDefS5/pnpme7h5Qqtgla0rgbG9/55w+ffp0n75ta9TrTqarq//zve//wR/+0R//yQ/eWvrTP/vzv/jLt3/4o+eT4WzcTo/aw95w/KLVnKS97iA9mnanvfTFaJw2+61e+mnri038/tPLdDzpDgeH0+tRetJvng+6Z912cwpJp2//uEE05uO0s0jaw0G7eZmevr28en+V/kvKL2v6ZVnp//aHP/zgf1VDddRQtdVM9VWqBmoK7z3VVBN4jtWaWlUjSDtRc0gbw1uXvk/VQi0Bdga5UsjRhNQv4O85fDrWqQP4jDQnhG4Dlx78PwZkot4BzBDyjeEduSX0/YwoY+oSPO/UeBK1o56qTbWrjtSW2lYHxMP/LBFuE/iO1DXw7IL0F1DCRK2ANLfh33Uo/ap6H94egYwtypOCjInah38Rk5KkTOljtaEO1WPivQLvH8Pb7UotzUk7E/i/CTwvPPqUnGcgKdbPhDQYyj0B+fogc5gucu9TPixFrAx3IW+ek0lpg00tMs1UUZSSo3311ZVX0nPQdRNSL8j+/HknkN4CSbE+Z1RHfh2Mifa1N9eU6n9GtjoG/nfJvrnNjKkcaabBLnzT0W0pAVQKNDBtQH/PIW0I0iXEY0wcpGwTjwQ2VSzbmGpuoXW8A+kTkmVKtZDAJ6aQ0uczkhBbW0o5WS9SAygzSjSAtJS4dDySXFm0mX91TrvVSzsRNGuDyzwmuVL1mhB9kgzLO4fvWuSNsN11KQ+WG/Ojp8J2MwcvJXIwDSxTSlyxjPPMwufQPu1vFh7MCN7QMyBqX78PgXeXfCC2Ah8adXhGeebgj1KqsUEktq31NSffNCYNst1de3E9XaY5eMFU69CXf5zlf6ZtYQx150OkUKN9rZNteG/SJ9MbuFB3qI1NyGvNwSc2SROJTpsRBVsr1dZ0RpbU1FbfsD6jRVyTHHOwliFIlmoPJDKZvHOyownxRPtDqR7TX8zRLdGWXsyFOySvIOUP91gJaO2peg6t9Znag7dt0AemHEb2V1IabCuX5ANQa9Jvz8knLHSbEa9j5OZvxrqXPYae7b76O6rTE2pD99W79Anz4Xdr6u/1568pbYl6hym1BK6fDykfo/C7LnmZfsW3PdIWtmPzPebG79gX5tOXNIql5xy2F/wQJBS8cM5/b9OZkMdA6V9Drg5Z6TwnlUnH0t6D52vqaRukrzPqpVAG1uuHFdglwLCmU+3BjP6lT4ypR+6//LV5i76bkX/A0t36TtZUgyhewV/s9e3PE/q8ArjbpP1vpz7DtTkN1KPY2net5r69NhauE+xtML458daMr05+/gZ1wt9X1cvVDfW5opahRGjrMXW6VFvvmL8J7x2SqUf0zi2pypRQqnWHDhZRfnIp2Kty1LVJ/amvDzUWUR5fYpTQJR9qLOI/wS5Rl1+r/9bxagJl41FqmyzQP2Z10fwneJDmT+FZqLeI5hFIbUqZwCeOpVi7ExonXcJbG946FCHzeCMhbZ3r8bCvdE/hYT3LaL8Fz5xSF17kJjwu5GYQ+QgeF/JRELkLjwu5G0Tuw+NC7ls+wVdjB/C48AdBzp/A40J+EkQ+g8eFfBZEPofHhXweRH4Ojwv5eRD5EB4X8mEQ+RE8LuRHQeQhPC7kYRB5BI8LeRREbsPjQm5rZHVLHet+pkOezMdjg2Izm0cb/u1BykZQvgc0q+PCPoho0+0KbLhVb1FM5cJuReg0rcBuR9jdWQU2bHmPsjF0ERv2RY+z8WUR+ziI3aFI0oXdCWKfqFcV2CcRLe2LCmy4re1Sb+XChr3vx3omoYz9OIh9qscJZWy4j9qDFDd2L6LHGFVg94PYT9SXFdgYrz+uwIb9/kEW4Rex4X7qMItDitgYbzqrwIb96XMYwbix4d7qU0h1Yz8NYl/ouYwy9kUQ+xnNtbmwn0X0sF9VYKWP5XnQcxqPpNBifdSaWavEN5wlbgb497K+Bd+wj+oEMecZ5pwwxblDl2cVxKNIxG6G2I2Wa5L50QmNd8NcDjLEQSSilfVNLYq3Qvk7Wf4ORTRhxFaG2CogfCNSXu1g3CWNLiQlhLRnRi6iyjTM/De+pdoe/J5XEHs5BNv2BVk+rghNKQ5CTfmoXWR9PCMT+uxD4DzzWVZK4RHGTTOvYKOugqiWA9UKoq4dqOsgauZAzYKoSwfqMogyLd/GNSIswOj/Nc2pnGXeLTwXnl8t3YMedxt6P0zZg39jZsP9MT3OPWBPaWZ4xBePFa5kLNOakcSFWxRh8xpLSmsUmHMP2pus7uFqxly3OvbDi6wvT5Ssf8TT6ZI85xkdHC8mql+bzkeUsqDxXapX2ergH2ctX97q4bdJ47weNMjWXOLxUy399AayH2rs4Q2wB9CeRlr75r0uDZ6BYRryvqQaejYea7WvbQbpXdWkv6NrZucG9cIrh/YqYn0dTazyTXLlq0PD6Hli6bkeFRw/8bhX3pLaJRnoyNe815VhSP3oQMthPtWtGczT0TUj7/Vo7MOYa5Oi7rn1Xtd6R1lpzHs9Gs8pJ0cV5r0eDd79wPow7/Vo4HxLU0f65r2uZ0cNcPRs3ut6dZxfT5XZOcApZlw0ppGS7CPp0gjBP19jj/rL/RjO2rzMogQ/JTO6rabTUmmQjolIZJ2tnhw4wpjpUdgmoHCFIDxv1aRxs92jF7nbvTrqehf0Zu+D8c/I9UAmmYdIaeb+pd5X4sPYZTG49SAO7eKsgGro1GlwhGj48kxRPu2UUkOxmCmt0WODPPSErG1E48Bd0mxID7sFPYQphjS0m9NQmF4d3X2lW2he+6tB3KiAGGWW1qYVRt4X6Y9NXVo/sHT8jl7ZwVU/Xuep2sd1Rl6nSbL4eNr5ZO7ITsOe9K4y89r8XUI1ih7qkvxEl1ahwnu1ZIaYx99z+mxoH9HqX34lLdFUZDcczpzjHHpCPtT2sCHeqC+ZleP3CflZ8cChFTuDPneg68Y0m7TD5wA+P4Nyb0bt8THrgEPS91jdy3ZXDqn+/DG8vdrYyGjIvjnbP/ri6oscFV79TXVcHk+jSEfwjRKlcJzvksdEq3m//062s3JKI4Ge15ar5146xHWduCbUZsbUDufWmr3hwBLMnd+s03jVX0rkV4cjetAQ15cWZ9bLgHbPphSxjmgk3KO2Fmob+dz2jFTxG+G0r2R3N65fD8k/JuT9EuidhmSTCf1v7wPndTTxBz3ykDFep5uNZlxjm27Qxsy4rat476WxN9d+Wbt18R4NjhC4F1gUbFt0sktjP97tMNa+3bRtf9+T0k5Z2dFtWwlTNLayQvxv01/5X+xkuWQRqGHe18qezlUfQ4pRUEdN6uP9Pkjy2lLeymR4qaU2vZ+R6VZOsi2KsBK9D7cDnNuK9zYjL7SSMck9KeWRfezVfRRSHhX0KLtXGtrrn+v+F+W+S33kMrW5hjInBSRqkLyheeMiXz+vPPU42pNvhbrRdV5rSDFRZs6WNRSa0U8pOrOl7NHZCt7tm2pKZa2PC7n8fAZki32rLf8KUv8K/orc8jmOTivnFR6QDTAF88lohFOSUo44Xg9yvMQyhZb5bPgZm5RcdspN4mn2biamvqxNhXfNX+lZCnm/CY1XFo1XkTo8pNVFo0VJF090GowsDvX6ZCy/OtwOa1CeBSmHR2SC6kZIaUdScVQ7QarhCF9QXwVprQZp4V5De/bfbvMxSHdbL7buX+V694c0umkrOcvAo87iuQ9/pMYUkPd72sPa7b9BKcjf3q1qn1/Ceck2URBZ/0b3bUPy9MYnyF6l1zqPeNkGvb9bQvapVUyoZQriPcohuzdtOZKCT7pvjToSmutv0qiKRx7+mNnObWolyY0oTLzJ7crw6qmf6nhhQHUwVb/2ctspRbA7VgybKF7n7GUxBtbyr2vVMkaWbBkym+AeX06olrCv4/UDHtfy6Zayt+LVuwFoX+zuvuL9tR9GeBqOfN27ofG7mY6bsGx3ICdq3tS8K0eYXy+aY4jfTdbxeIdyP9ujnP98M1pN3dflP9ejtVGQa+MN5NooyLVRkquqfmYFfZh6mlEeO+4xMWge01C/iObCEtXjwpgYLhs3KMtG7bJs3KAsG7XLUq8UdeSvJ3kdmXndL5ay5BbK+Tkd9uMXFJmG9tgiwjWOXnGOm28HytEq0WsR1qbGKSFKOOs51DMxdo+G839vlfp7Tn3L2+v3rB6/qkcW6navbPpJ7oVS6mE47vf77/zuikTLKhKE57uYQlvxbumqSNym+Qt48G+iXHG4cIyZpT2ASALPjMTdEuDfZ/KlfueZ44RS0K91CrMcTV3OfA6/jr60qNv0YzjE88CT3yHpuzRaqSs7Uw5LblOPp/+avMBYpUHpTc76ZbC5hEtS5lSnPF3ybOHSdPVMZ/2yCIeYkuS5xPPh9aNQKc6U3ARSrwxCPVyCPIc6PGSHSFydm9z1edmc/Poqc4nlwb2ArGwJDldYq2NCky/GQ42tGvnmOaB3OPNQl97iTcshfAyn+rxiufENJa8iap3zpXruG8f29duM4RZjzdUc43kOs9KZ0ZKbH4/7klo1NbRK883Tx/GosQHhNVc84xyWjvG2FRl5Y6ngCoxLhqH6vygZGF8lQywVWQmqpiQ5wtTkFKurVPJdjEyGTpVMeWr2KeKE7jmZ6PZrZuom+tttWm2UlccPVEIrUrzyOFGyw5nbz+fUCjCHfdq8eCJakNyq7LPasRgcT4iviUf1Fd++UkZzvHUT9Fy9p0bBVRehZEb0OH5OCk/1yfZqjVXPlS1ns8s+PnZpQnqu5oXrqacWTzfXKizPY+E9T18AN9ydxvcIsF559v1SyQ0tDVrnwpsK1imHrPLzHOAx/HsCf1365Zo60Xl4FvWCKPr066IUeuL15NaVK82VEo7qHqod9UgdQRvfVm8a1fG89FTJLv1U2TdecS2ZlLl6l/Ah/zUiHcXSXLVo+qj2Ib7P33V2DPJgrS9ZtWTPHRRzX5CtsA+U/NWyVlFtK56bkVMIxTrkOL7+g1LxHBLPu/M4GHdr8kmV/M1wk5x8MhNSlM0uaV7r96DtsN5d7bpNnKTfsFf0umpqWXu5BHmkLaO5GWNOKy9FtKFhchbrqtpaXdoo3oxX18Jsu5WVqrq29l2xtN91O6uSf9kh/zdpYRxZ1fNldyos7Pe28/9tO2/ioe68kQXd1Ff93pZ+W23ppn7ItiP/Lowu1TDf6OU6bzIp3DLX0rfMyd1boXFgnoPseU+tmKlhpcqKv1khy+PzsYhvj+vN+Jnoqu6dzDFjcD5xIHdtmjtx+3oFiuO3Ns0ziD3PKZ6bUuvgO3hbSk7Bvq/kbuRq5KiEei8XHRcxLeI2JY0Wke9m48n8faS4LxpnEOzTGzJ7mOiTWHg7HVpqkkPez+iJfYXoFqnx7d0yezcqaJhPd5gbhJNc+fJ5Za8tR49JJpGRUXZOX2XSJZ5y874okUqo5/nz3chNyonU72X0bdmMBB1asazSVUJW7dOmOfGyrnjveY/qmE+gzBTuqp05OFZzenMOTdIJz2PZflTmDYoaNvnLnpcpsh8dkmeIoWjylylWzSIVy43tY11756QS5damja3mWFWnCyt+DnGOoSFadNMJ1RZSWouiFKqlPCWXN050PaIsXWrlbbJK3rc3pTHDRPtZ3jGE2g3fo76ozHec84l81/+A9Ii7IVq6zFU8ijmrz3nw+Yopocy7OYMnbWxLndLO3UTPRuFc75WnlH2abZuqrl7HEc3uq4fqkfoZ0OpC7q+8pZjqPIJNSvux/PspDrPb/OwdwuHbkTbUs+yOxqp9hPLOo5Rn+p43P92dANUy3Z2Mrp9ySF6fxH7KD9VTGjfU0QZLfRqxo/gR3b3mo4w3zZ1Srkbphvxqulsgw8NS3UtqaEeS7JXim6BFGvs2wFt0gpDvXUA7nNaSrkVpcVxMzptwOtAzt67zW+a7kC73tC47+hYgX+4rvSsytBfyikrBOV8q2Zc7DtKfKDmPKWPsKzqbLSNqEy+EqeTPDJmTlFwGm6aM20N0rzL5fDbNefjOs7kq3ifmsvQYnnInEusjT7Wo4Rhquzl6bLe8N7socTx1pn2QldzQzlNcybjNqVxx9XmgRhbdFUDejrQn8W9FG4jhyueK7M8rlq6u6bauKt2F5ZPfDBrS7YnGWqtsC29fdLWGOl7D8FyUZJhndla02jiKD5w0bX0tvLYW3k1aLbP0Rz4KR9DX8I3HRxF9F+c0/RTeJZpvDeGxhlDZoDMXxw4aJ0EqDzIqaAFdTSlP5ySi9Dw2zZ87cp/J9p9WbWV3reLtp6dUA3dr1+aBkt9qMJ/wex89P0Xeuc1jWmnzHeuU75qOkDi+Maek8PzHPUp7AQ9b6ak+C56ovy1JYqNnNPJ4qe6oJPMp/jrgO6GkJ7XTVixKOL66HWVftnU9ibQmY0v+vJtZ3j0Vd8MhIgRj3zaQpxAv7T6M6tz0WPp4SkeaTqjl72f88iOqEXF7EkB/pqrumv1MLZy9oVgMzxfJLwDZv84zIoQ5zcK88/nxF4MwpQ+WPKD4d6bq/XoTUuCdPIjapreu3vXDvmFIo2eM0OROCPP7Q3z6HFsazlr5z6bhqfOhcs0SF3+LhOd9+GwOSsnnzI6hTEM66/6B9lgnEd5hQBSKt+PYHFo0x8Q7C3Ds/FD9Y5DqK9JNs3AyKyT/kwyVFMoQOgOB3prPGoT42aU5hnZpY8tc5fanNbCfXfB79U5NdbReJYYIn1g9z8lvfLG5BeJUe6tWRM1W3Wcd83sNB1l7L9/9UnVj9ApgQqPWg5IfsWnEUJip4v3R3D5mwVLJLYZFZHjXYUcV72DneulEWGePxnW9QlvIS/CAyr6qR7FY03eziM5H/QXdP83++SLYb72w8uPbKfQi7jOv+e9jZg8kGuCovWilPvS1jh1XaHzjihX82EuNrhd/hOMq+Q2PYizo6qvcsZvfLgZKzgcXb3L2nXSS1aLtjIN7HrGjzC9sMlU+y9ugtJRq21hhhz7rs/+nby+vFX/ptfzyfP3+2ur9tU/Wl3/5D/pXYH+gfqL+GnSxpt5Xv1SPwSaPQKZr9S/q39V/XM4u//nyXy//jbN+/3sa82OV++/yv34D/VtAlg==</latexit> <latexit sha1_base64="NGCGb9j9PjaGiCt5eqRJdYYEdaU=">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</latexit> <latexit sha1_base64="NGCGb9j9PjaGiCt5eqRJdYYEdaU=">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</latexit>

    <latexit sha1_base64="NGCGb9j9PjaGiCt5eqRJdYYEdaU=">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</latexit> concave <latexit sha1_base64="17EnyIrs9y/b+aOK904a26808CE=">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</latexit> <latexit sha1_base64="17EnyIrs9y/b+aOK904a26808CE=">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</latexit> <latexit sha1_base64="17EnyIrs9y/b+aOK904a26808CE=">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</latexit> <latexit sha1_base64="17EnyIrs9y/b+aOK904a26808CE=">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</latexit> which is, if C(x, y) = kx yk, a well-known quantity: the Energy Distance MMD. Interpolating between two standard families of divergences, the Sinkhorn divergences could be expected to share some of their desirable properties. The present paper shows that this is, indeed, what happens: we prove that S" is a convex function of each of its input and that, for any measure ↵, 0 = S" ( , ) 6 S" (↵, ). (5) Information theoretic Sinkhorn divergences. Before moving on to our contributions, let us mention [AKO17] for the definition of another positive divergence based on Sinkhorn’s iterations, over the discrete probability simplex. The present work opts for a rather di↵erent point of view, as we put forward the geometric structure of our feature space and handle continuous probability densities. which is, if C(x, y) = kx yk, a well-known quantity: the Energy Distance MMD. Interpolating between two standard families of divergences, the Sinkhorn divergences could be expected to share some of their desirable properties. The present paper shows that this is, indeed, what happens: we prove that S" is a convex function of each of its input and that, for any measure ↵, 0 = S" ( , ) 6 S" (↵, ). (5) Information theoretic Sinkhorn divergences. Before moving on to our contributions, let us mention [AKO17] for the definition of another positive divergence based on Sinkhorn’s iterations, over the discrete probability simplex. The present work opts for a rather di↵erent point of view, as we put forward the geometric structure of our feature space and handle continuous probability densities. Theorem: <latexit sha1_base64="WCp6tVB6SGFNLVO3ywKAXDF/o30=">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</latexit> <latexit sha1_base64="WCp6tVB6SGFNLVO3ywKAXDF/o30=">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</latexit> <latexit sha1_base64="WCp6tVB6SGFNLVO3ywKAXDF/o30=">AABB03ictVzNchu5EYY3f2vnz06OuUyidcqbchzJcVVS2UrVypIsa03bsknJ3l3aLv6MKNpDDs0hJdlcXVK55hFyTR4jz5E3SE55hfQPMMCQmGmM4hglCQPi6270AI3uBujuJBlms/X1f1766Fvf/s53v/fx5Svf/8EPf/Tjq9d+cpil82kvPuilSTp93u1kcTIcxwez4SyJn0+mcWfUTeJn3Tdb+Pmzk3iaDdNxa/ZuEr8YdQbj4dGw15lB06ur19qz+Axwi9ZxnE7j0R/OX11dW7+1Tv+i1cqGrqwp/W8/vRYdqLbqq1T11FyNVKzGagb1RHVUBuVrtaHW1QTaXqgFtE2hNqTPY3WurgB2Dr1i6NGB1jfwewBPX+vWMTwjzYzQPeCSwM8UkJG6DpgU+k2hjtwi+nxOlLG1jPaCaKJs7+BvV9MaQetMHUOrhDM9Q3E4lpk6Ur+nMQxhTBNqwdH1NJU5aQUlj5xRzYDCBNqw3ofPp1DvEdLoOSJMRmNH3Xbo839RT2zF557uO1f/JimvQ4lUU48+zSl01AnRj+htzuEzlicBzgOgEOsxYu2UdD2i0Y+h/wLaH0E5p5rRSRfKglrPK5FbUHzILRG5C8WH3BWRDSg+ZENE7kPxIfc1ErFT0rkf34TiwzdFzk+g+JBPRORTKD7kUxF5CMWHPBSRX0HxIb8Skfeg+JD3ROQDKD7kAxHZguJDtkTkARQf8kBE7kDxIXc0snylTqGkRGcorMpNqBd5oKVIoGVTlO8uWUcf9m7Amu6VYOVVvQ1//djtAJ3GJdidgHl3VIKVZ94u2Eg/VrZF92k38WHvi9g9mAF+7J6I/UK9LsF+EbDS3pRg5bXWgH5+rGx9H8KTH/tQxD6Cmh8r71GPocWPfRywY0xKsPsi9ol6W4INsfrTEqxs95tgV/xYeZ9qQX8/NsSazkuwsj09BA/Gj5V3q2fQ6sc+E7HP1VkJ9rmI/RKsux/7ZcAO+74Ea/bYK7SDDMgfiWHFVlHr5KsSaxOg1hH4J/nekpBv3IV2CTPIMQPCjETEbo7YDUQ0ckQjWK4st6MZ+bsyl2aOaAYiuvnehLWZ2L+f98daEoDYzhHbS4gqjxTftRnLCXkXpkVCzvKdC2shY0pz+421WM+HastrEI8LCJ7bxzTzb1K0hBEUaqqK2nG+xzMyoucqxClFb2aUhoeMm+VWwUWdiaiuB9UVUe88qHciau5BzUXUiQd1IqLsyndx7YAZYPWP72JBTzwD2EcuLxF4BZuw69yHNRrB/NkHL/AptTyGv02KvaVSJRlG87hPYpbjRcEST6G2UGvQbqPCbYqvE1phMUjGPR/rGB+fMLex0GuOrfB5vpNHecYknM6Q5BnkdNBbjGg91aPzgFrOybvjWj38/Xzdm1o9/A5p/Jy8eK7Vw8+09LMLyN7S2NYFsE1YTROtfVuvS4PzL0zD1K/QrosWF9/qSM8ZpHdWk/6efjN7F3gvW1Rj/dh6PRqZM76sML46NKyeM0fP9aig98Rer6lFtUcy1nGvrdeVIaVddKzlsE913wz26es3Y+r1aOyDx7VFMffCqdedvZN8NLZej8ah4rznOXnypl6PxoCeWR+2Xo8GZls6Os639bqWHTXAsbOt17XqY8oCYw6I5zy3WK9oSn7SXFMbkn9Qna1xff7VfQxzNi/zGKGakvVty+l0872sWiLjL8Rg1WY15UD/Yu74YEUaC3VbjK9Yhllhf1+lY/d41HwDtBjB6uczAClnnoCEJieB1jsBihti1FUcmcHdFnE4S46WUG3dOhO9RcuXs0bFtlfUKsVldrRWj22y1xnNvQn5hA3SrKSHRukbLqMoaahR0JBMr47u3uv1WtT+uoibLCEm+Uzr0YkQn6RVx6k+rTcdHV/XpzwzKHzmY+cvZpuPtLXBmCclW4SyVPF0+5k8ktuG++pNZXPc/FlEbxTt1QlZjSGdSGViFGqyxeyNL+jZ0j6gMznkwTR68B4jTWWi+NQMs+iYT4/Iorr2VuKN+jIZOq5nZHWNPa5GDxz0wIOuH+NswY7xCGotiBkO4KkVEOVcyXWVksan6tf56WhKb7A6ok8KFtLQYHsTFyxkVZR9XKByCmicDRylh9NYpmPw7RVKctTvk8fGrkXLf51Obs35dofmePlsLs/E9InrbeIa0arhU11+WubAEiy8n9wm/7V6lMivDke0oRLXlw5n1suYTvxjimAn5BkntNqk1VHs7eanlj8xnPaVOTvH0+yULGRE9i+C/SmlORnRj3t3wJygs0VIyEaG2J1h7t34fJ2hOMesHzdUfKvBzreYbNmc+Bu67urKaC5yxMD7wPnS3DY6aZAvGBPXqbbudm1X7z6ItPck3FnCFO1cuUH8P6Xf5sfMk7WVGYEaxjeQaVvnex8pxSyoow7t8tU2yPR1pfwkl+Glltruf1amTwqSbVPEhfLgbt0Hzj16Zl44S6Ykd7bSh/fRqmwuUp4s6RFHe0RRPNv9gd6BUe6btEuu0Zpr0ywZwCyY5VGE6StlkZf5VvMqUg+jnf1fqFtdF7WGFCNlM7isISm/H1O05kqZwKzm+fuGVpNf69OlXtV8xjQXR85a/gZafw6/jdzmOYxOt2AV7tIcYAr2yWqEW6KVHmG87hZ4mZlpaNlny8/OSdPLbblIfM3WzcbYJ7Wp7NOsOdNZC1O/CI3XDo3XgTps0Vmj1aJpN5bolRhbtPRpZSi/OtxaNSjPRcqyR2ZQwwAp3VgqjGpfpCrH+Ab1XqS1LtLqwGp1TwPcNR+C9K/15dX9Tb67R+oe+TY98sA4funTKh2Sz2VaqyM1poCc72j76q7+NrUg9y5ZUKTM9zhxxfCpU4/KeS7pL/XOlpKdtxbB3Fs61X2MjW1T/bcryBGtiYzWpUHcoR6xlt+VI1qySLccnyOizH+HfCr2O6pjZre3fSdRwZ+w8SavKsuLI4Ux6V/KvO2tRK97TvwaUUw41951F2jVf8NIgTEmk+D3LDN6Q7jL8UkCe7Rdsp+rdopP8caORLdI6oX6Y4CN4ajXznV3bpkRm7H9Cnqi1u1b9/WQ+SXBHCV+FznR69CuNtI+6mLp+WK0OnqXKz5X6WG+xNfqY0593MjCRnlFTFt9FsyFJarHhTEhXOqNoo789SSvIzOfToVSNr0N5WKmgW3MMcVL0j1QRPi8uxteb+5TYRzdFXpdwrrUuEWihNm4VOcHXEuLWanLK/sQt16u3I0SZycq2ykMdXe3sPabLWRM1i9RUs6Ge7uytwtRipyFYQo9xTd6y+JDl+ZnUPB3pHzRoeEYkjtsgn+7qbbUzge4DfFW1zmjGVEL2oL+Uuzd0eMs9qjW0VuHuks/hEM4jyHoWpJ+SDtpXdmZsiy5Sz2c/ilZgamKReltz/pjcLnII1nlVGc8Q7Js8miGynwXp+5YDIeQkRS5hPPhcw1pFEfKfKep3hgMdXkERQ51eJh7DGHv3Pauz8vlVK2vVS6hPHgXMCcuBocnf+Wxiu0XYqGmzhv58BzQOhxVUDe7xf86DsPHcqrPK5RbRt81ex3w1rlfrDOy6A/XXzOWW8hsLucYzjPNR2e9JT8/9vuiWm8qdUbz4emjP2rngOG1UJwHlaVjvDuLrLyhVPBcwCdDqv6j/nFJ/jbC25xGmRx1KJlzinJqpodMzXzj0jc681mITJZOmUxFajaOaNKN2C21p+7Bz1buAda9HcrfpeS/iPV/f7YPrUdkPUwWnTMHbWqLKfthT9H69Gzvz5ZJjHd5+W5vC1rwLLxBrXjP9xH1x7u+rcLYyr9Bwmv9oUpVvxCRLJ/u2XXVhREUT944B2S+5xvRXXrOYvHNs1HA2aK5P7Us0YI+kW8WdEvxXUfKHs3ViT6rx5MDvGHfyfNDkfoNtXW0ncc9V+K8X8p5f4lzRtopcjhzPqu+m1XGZcvh0s9zZye6X0pxtj3Pq86Nbpdy4Tvo1fhBBX7gSNkk7b+hSHiqqrN58wqacy2Te8I6ViYTyXrAOLOTv+/qyPakgtdJwPgflKIfOJLugixdyn9HdMI2JXqJ1s0OSc83HaszqfcrpNXfo3x1dW1j+f8yWK0c3r61sX5r48mdtc/v6v/n4GP1M/ULdQPW+O/U50BtXx0Ah1P1V/U39ffNg83F5p82/8xdP7qkMT9VhX+bf/kvkjin+Q==</latexit> <latexit sha1_base64="WCp6tVB6SGFNLVO3ywKAXDF/o30=">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</latexit> [Feydy, S´ ejourn´ e, P, Vialard, Trouv´ e, Amari 2018] <latexit sha1_base64="+1SAgCrta7UxoRWrAdXNR0bYA1Q=">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</latexit> <latexit sha1_base64="+1SAgCrta7UxoRWrAdXNR0bYA1Q=">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</latexit> <latexit sha1_base64="+1SAgCrta7UxoRWrAdXNR0bYA1Q=">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</latexit> <latexit sha1_base64="+1SAgCrta7UxoRWrAdXNR0bYA1Q=">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</latexit> If e dp " is positive: <latexit sha1_base64="foMVsrwod8b/WdI3pq5gRhQougE=">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</latexit> <latexit sha1_base64="foMVsrwod8b/WdI3pq5gRhQougE=">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</latexit> <latexit sha1_base64="foMVsrwod8b/WdI3pq5gRhQougE=">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</latexit> <latexit sha1_base64="foMVsrwod8b/WdI3pq5gRhQougE=">AAB3C3ic7V1LcxxHcq5dP3YFP1brPfrSNigvyCVpAJIthzYUXhAASVAQAREARQkDYufRAIaal6ZnQECzo3/gg3+Hjz44wvbBPvhH+O7L/gTfnI/Kruqe6qpqUArvhlYdAntq6svMysrKqqzXtEa9bjZZXf3v733/937/D/7wBz98a+mP/vhP/vRHb//4z55nw+m4nR61h73h+EWrmaW97iA9mnQnvfTFaJw2+61e+mnri038/tPLdJx1h4PDyfUoPek3zwfds267OYGk07d/tnOW3Epfzu41zsbN9qzzcjSfNdJR1u0NB/P5raSbJaNh1p10L9MPTt9eXr2/Sv8liy9r+mVZ6f/2hz/+4H9UQ3XUULXVVPVVqgZqAu891VQZPMdqTa2qEaSdqBmkjeGtS9+naq6WADuFXCnkaELqF/D3HD4d69QBfEaaGaHbwKUH/48Bmah3ADOEfGN4R24JfT8lypi6BM87NZ5E7ainalPtqiO1pbbVAfHwP0uE2wS+I3UNPLsg/QWUMFErIM1t+HcdSr+q3oe3RyBji/KkIGOi9uFfxKQkKVP6WG2oQ/WYeK/A+8fwdrtSSzPSTgb/N4HnhUefkvMMJMX6yUiDodwZyNcHmcN0kXuf8mEpYmW4C3mLnExKG2xqnmumiqKUHO2rr668kp6DrpuQekH258+bQXoLJMX6nFId+XUwJtrX3lwTqv8p2eoY+N8l++Y2M6ZypLkGu/BNR7elBFAp0MC0Af09h7QhSJcQjzFxkLJlHglsqli2MdXcXOt4B9IzkmVCtZDAJ6aQ0uczkhBbW0o5WS9SAygzSjSAtJS4dDySXFm0mX91TrvVSzsRNGuDyzwmuVL1mhB9kgzLO4PvWuSNsN11KQ+WG/Ojp8J2MwMvJXIwDSxTSlyxjLPcwmfQPu1v5h7MCN7QMyBqX78PgXeXfCC2Ah8adXhGeWbgj1KqsUEktq31NSPfNCYNst1de3E9XaYZeMFU69CXf5znf6ZtYQx150OkUKN9rZNteG/SJ9MbuFB3qI1l5LVm4BObpIlEp02Jgq2Vams6I0tqaqtvWJ/RIq5JjhlYyxAkS7UHEplM3hnZUUY80f5Qqsf0F3N0F2hLL+bCHZJXkPKHe6wEtPZUPYfW+kztwds26ANTDiP7KykNtpVL8gGoNem3Z+QT5rrNiNcxcvM3Y93LHkPPdl/9LdXpCbWh++pd+oT58Ls19Xf689eUtkS9w4RaAtfPh5SPUfhdl7xMv+LbHmkL27H5HnPjd+wLi+lLGsXScw7bC34IEgpeOBe/t+lk5DFQ+teQq0NWOitIZdKxtPfg+Zp62gbp64x6KZSB9fphBXYJMKzpVHswo3/pE2Pqkfsvf23eou+m5B+wdLe+kzXVIIpX8Bd7fftzRp9XAHebtP/t1Ge4NieBehRb+67V3LfXxsJ1gr0Nxjcn3prx1cnfvEGd8PdV9XJ1Q32uqGUoEdp6TJ0u1dY75m/Ce4dk6hG9c0uqRUoo1bpDB/MoP7kU7FU56tqk/tTXhxqLWBxfYpTQJR9qLOKfwC5Rl1+rf9PxagJl41FqmyzQP2Z10fwlPEjzp/DM1VtE8wikNqVM4BPHUqzdjMZJl/DWhrcORcg83khIW+d6POwr3VN4WM8y2m/BM6PUuRe5CY8LuRlEPoLHhXwURO7C40LuBpH78LiQ+5ZP8NXYATwu/EGQ8yfwuJCfBJHP4HEhnwWRz+FxIZ8HkZ/D40J+HkQ+hMeFfBhEfgSPC/lREHkIjwt5GEQeweNCHgWR2/C4kNsaWd1Sx7qf6ZAn8/HYoNjM5tGGf3uQshGU7wHN6riwDyLadLsCG27VWxRTubBbETpNK7DbEXZ3VoENW96jfAxdxoZ90eN8fFnGPg5idyiSdGF3gtgn6lUF9klES/uiAhtua7vUW7mwYe/7sZ5JWMR+HMQ+1eOERWy4j9qDFDd2L6LHGFVg94PYT9SXFdgYrz+uwIb9/kEe4Zex4X7qMI9DytgYbzqtwIb96XMYwbix4d7qU0h1Yz8NYl/ouYxF7Isg9jOaa3NhP4voYb+qwEofy/Og5zQeSaHF+qg181aJbzhL3Azw7+V9C75hH9UJYs5zzDlhynOHLs8qiEeRiN0csRstV5b70YzGu2EuBzniIBLRyvumFsVbofydPH+HIpowYitHbJUQvhEpr3Yw7pJGF5ISQtozIxdRZRrm/hvfUm0Pfs8riL0Cgm37giwfV4QmFAehpnzULvI+npEJffYhcJ75LC+l8AjjJrlXsFFXQVTLgWoFUdcO1HUQNXWgpkHUpQN1GUSZlm/jGhEWYPT/muZUznLvFp4LL66W7kGPuw29H6bswb8xs+H+mB7nHrCnNDM84ovHClcylmnNSOLCLYqweY0lpTUKzLkH7U1W93A1Y6ZbHfvhed6XJ0rWP+LpdEme85wOjhcT1a9N5yNKmdP4LtWrbHXwj/OWL2/18NukcV4PGuRrLvH4iZZ+cgPZDzX28AbYA2hPI619816XBs/AMA15X1INPRuPtdrXNoP0rmrS39E1s3ODeuGVQ3sVsb6OMqt8WaF8dWgYPWeWnutRwfETj3vlLaldkoGOfM17XRmG1I8OtBzmU92awTwdXTPyXo/GPoy5Ninqnlnvda13lJfGvNej8ZxyclRh3uvR4N0PrA/zXo8Gzrc0daRv3ut6dtQAR8/mva5Xx/n1VJmdA5xixkVjGinJPpIujRD88zX2qH+xH8NZm5d5lOCnZEa31XRaKg3SMRGJrLPVkwNHGFM9CtsEFK4QhOetmjRutnv0Mne7V0dd74Le7H0w/hm5Hsgk8xApzdy/1PtKfBi7LAa3HsShXZyVUA2dOgmOEA1fnikqpp1SaigWM6U1emyQh87I2kY0DtwlzYb0sFvSQ5hiSEO7BQ2F6dXR3Ve6hRa1vxrEjUqIUW5pbVph5H2R/tjUpfUDS8fv6JUdXPXjdZ6qfVxn5HWaJIuPp51P5o7sNOxJ7yozr83fJVSj6KEuyU90aRUqvFdLZoh5/D2jz4b2Ea3+FVfSEk1FdsPhzDnOoSfkQ20PG+KN+pJZOX7PyM+KBw6t2Bn0uQNdN6bZpB0+B/D5GZR7M2qPj1kHHJK+x+pevrtySPXnj+Ht1cZGTkP2zdn+0RdXXxSo8OpvquPyeBplOoJvLFAKx/kueUy0WvT77+Q7Kyc0Euh5bbl67qVDXNeJa0JtZkztcGat2RsOLMHM+c06jVf9pUR+dTiiBw1xfWlxZr0MaPdsShHriEbCPWprobZRzG3PSJW/EU77SnZ34/r1kPxjQt4vgd5pSDaZ0P/2PnBeRxN/0CMPGeN1uvloxjW26QZtzIzbuor3Xhp7c+2XtVsX79HgCIF7gXnJtkUnuzT2490OY+3bTdv29z0p7ZSVHd22lTBFYysrxP82/ZX/xU6WFywCNcz7WtnTuepjSDEK6qhJfbzfB0leW8pbuQwvtdSm9zMy3SpItkURVqL34XaAc1vx3mbkhVYyJrmzhTyyj726j0LKo5IeZfdKQ3v9c93/otx3qY9cpjbXUOakgEQNkjc0b1zm6+dVpB5HO/tWqBtdF7WGFBNl5mxZQ6EZ/ZSiM1vKHp2t4N2+qaa0qPVxKZefz4BssW+15V9B6l/AX5FbPsfRaRW8wgOyAaZgPhmNcEqykCOO14MCL7FMoWU+G37GJiWXnXKTeJq9m4mpL2tT4V3zV3qWQt5vQuOVReNVpA4PaXXRaFHSxROdBiOLQ70+GcuvDrfDGpSnQcrhEZmguhFS2pFUHNVOkGo4whfUV0Faq0FauNfQnv2323wM0t3Wy637V4Xe/SGNbtpKzjLwqLN87sMfqTEF5P2e9rB2+29QCvK3d6va55dwXrJNFETWv9J925A8vfEJslfptc4jXrZB7+8uIPvUKjJqmYJ4j3LI7k1bjqTkk+5bo46E5vqbNKrikYc/ZrZzm1pJCiMKE29yuzK8euqnOl4YUB1M1K+93HYWItgdK4ZNFK9z9vIYA2v517VqGSNLtgyZTXCPLzOqJezreP2Ax7V8umXRW/Hq3QC0L3Z3X/H+2g8jPA1Hvu7d0PjdVMdNWLY7kBM1b2relSPMrxfNMcTvJut4vEO5n+9RLn6+Ga2m7uuKn+vR2ijJtfEGcm2U5NpYkKuqfqYlfZh6mlIeO+4xMWgR01A/j+bCEtXjwpgYLhs3KMtG7bJs3KAsG7XLUq8UdeSvJ3kdmXndL5ay5BbKxTkd9uMXFJmG9tgiwjWOXnGOm28HytFaoNcirE2NU0KUcNZzqGdi7B4N5//eWujvOfUtb6/fs3r8qh5ZqNu9suknuRdKqYfhuN/vv4u7KxItq0gQnu9iCm3Fu6WrInGb5s/hwb+JcsXhwjFmlvYAIgk8MxJ3S4B/n8mX+p1njhNKQb/WKc1yNHU5izn8OvrSom7Tj+EQzwNPfoek79Jopa7sTDksuU09nv5r8gJjlQalNznrl8HmEi7JIqc65emSZwuXpqtnOuuXRTjElKTIJZ4Prx+FSnGm5CaQemUQ6uESFDnU4SE7ROLq3OSuz8vm5NfXIpdYHtwLyMqW4HCFtTomNPliPNTYqpFvngN6hzMPdekt3rQcwsdwqs8rlhvfUPIqotY5X6rnvnFsX7/NGG4x1lzNMZ7nMC+dGS25+fG4L6lVU0OrNN88fRyPGhsQXjPFM85h6RhvW5GRN5YKrsC4ZBiq/42SgfFVMsRSkZWgakqSI0xNTrG6SiXfxchk6FTJVKRmnyJO6J6TTLdfM1OX6W+3abVRVh4/UAmtSPHKY6ZkhzO3n8+pFWAO+7R5+US0ILlV2We1YzE4nhBfE4/qK759ZRHN8dZN0DP1nhoFV12EkhnR4/g5KT3VJ9urNVY9V7aczy77+NilCem5mheup55aPN1cq7A8j4X3PH0B3HB3Gt8jwHrl2fdLJTe0NGidC28qWKccssrPc4DH8O8J/HXpl2vqROfhWdQLoujTr4tS6InXk1tXrjRXSjiqe6h21CN1BG18W71pVMfz0hMlu/RTZd94xbVkUmbqXcKH/NeIdBRLc9Wi6aPah/i+eNfZMciDtb5k1ZI9d1DOfUG2wj5Q8lfLWkW1rXhuRk4hlOuQ4/j6D0rFc0g8787jYNytySdVijfDZQX5ZCakLJtd0qLW70HbYb272nWbOEm/Ya/oddXEsvbFEhSRtozmZowZrbyU0YaGyVmuq2prdWmjfDNeXQuz7VZWqura2nfF0n7b7axK/mWH/N+khXFkVc+X3amwsN/Zzv+37byJh7rzRhZ0U1/1O1v6TbWlm/oh2478uzC6VMN8o5frvElWumWupW+Zk7u3QuPAIgfZ855aMVPDSpUVf7NCVsQXYxHfHteb8TPRVd07mWPG4HziQO7aNHfi9vUKFMdvbZpnEHueUTw3odbBd/C2lJyCfV/J3cjVyNEC6r1CdFzGtIjbhDRaRr6bjyeL95HivmicQbBPb8jsYaJPYuHtdGipSQF5P6cn9hWiW6bGt3fL7N2opGE+3WFuEE4K5Svmlb22HD0muURGRtk5fZVLl3jKzfuiRCqhXuTPdyM3KSdSv5fTt2UzEnRoxbJKVwlZtU+b5sTLuuK95z2qYz6BMlW4q3bq4FjN6c05NEknPI9l+1GZNyhr2ORf9LxMkf3okDxDDEWTf5Fi1SxSudzYPta1d04qUW5t2thqjlV1Orfi5xDnGBqiRTedUG0hpbUoSqFaKlJyeeNE1yPK0qVW3iar5H17ExozZNrP8o4h1G74HvV5Zb7jgk/ku/4HpEfcDdHSZa7iUc5Zfc6Dz1dMCGXezRk8aWNb6pR27iZ6Ngrneq88pezTbNtEdfU6jmh2Xz1Uj9RfA60u5P7KW4qJziPYZGE/ln8/xWF+m5+9Qzh8O9KGepbf0Vi1j1DeeZTyTN/z5qe7E6C6SHcnp+unHJLXJ7Gf8kP1lMYNdbTBUp9G7Ch+RHev+SjjTXOnlKuxcEN+Nd0tkOHhQt1LamhHkuyV4pugRRr7NsBbdIKQ711AO5zUkq5FaXFcTM6bcDrQM7eu81vmu5Au97QuO/oWIF/uK70rMrQX8opKwTlfKtmXOw7Sz5Scx5Qx9hWdzZYRtYkXwlSKZ4bMSUoug01Txu0hule5fD6b5jx859lMle8Tc1l6DE+5E4n1UaRa1nAMtd0CPbZb3ptdljieOtM+yEtuaBcpruTcZlSuuPo8UCOL7gogb0fak/i3sg3EcOVzRfbnFUtX13RbV5XuwvLJbwYN6fZEY61VtoW3L7paQx2vYXjOF2SY5XZWtto4ig+cNG19zb22Ft5NWi2z9Ec+CkfQ1/CNx0cRfRfnNP0U3iVabA3hsYZQ2aAzF8cOGidBKg9yKmgBXU2pSOckovQ8Ni2eO3KfyfafVm3ld63i7aenVAN3a9fmgZLfajCf8HsfPT9F3rnNY1pp8x3rlO+ajpA4vjGnpPD8xz1KewEPW+mpPgueqJ8tSGKjpzTyeKnuqCT3Kf464DuhpCe101YsSji+uh1lX7Z1PYm0JmNL/rybed49FXfDISIEY982UKQQL+0+jOrc9Fj6eEpHmk6o5e/n/IojqhFxexJAf6aq7pr9TM2dvaFYDM8XyS8A2b/OMyKEOc3CvIv58ReDMKUPljyg+Heq6v16E1LgnTyI2qa3rt71w75hSKNnjNDkTgjz+0N8+hxbGs5a+c+m4anzoXLNEpd/i4TnffhsDkrJ58yOoUxDOuv+gfZYJxHeYUAUyrfj2BxaNMfEOwtw7PxQ/X2Q6ivSTbN0Misk/5MclZTKEDoDgd6azxqE+NmlOYZ2aWMXucrtT2tgP7vg9+qdmupovUoMET6xel6Q3/hicwvEqfZWrYiarbrPOub3Gg7y9r5490vVjdErgAmNWg8W/IhNI4bCVJXvj+b2MQ2WSm4xLCPDuw47qnwHO9dLJ8I6ezSu65XaQlGCB1T2VT2KxZq+m0d0Puov6P5p9s8XwX7rhZUf306hF3GfeS1+HzN7INEAR+1lK/Whr3XsuELjG1es4MdeanS9+CMcV8lveJRjQVdf5Y7d/HYxUHI+uHyTs++kk6wWbecc3POIHWV+YZOp8lneBqWlVNvGCjv0WZ/9P317ea38S6+LL8/X76+t3l/7ZH35Fw/0r8D+UP25+kvQxZp6X/1CPQabPAKZ/lH9i/oP9Z+X/3D5z5f/evnvnPX739OYn6jCf5f/9X/jL0oX</latexit> <latexit sha1_base64="foMVsrwod8b/WdI3pq5gRhQougE=">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</latexit>
  58. Wasserstein Gradient Flows NFSJDT  (SBEJFOU EFTDFOU 1BSBNFUFST $(Y, Z)

    = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S =  L = 605" " =   NFSJDT  (SBEJFOU EFTDFOU 1BSBNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   FSJDT  (SBEJFOU EFTDFOU BSBNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   SJDT  (SBEJFOU EFTDFOU BNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   JDT  (SBEJFOU EFTDFOU NFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   NFSJDT  (SBEJFOU EFTDFOU 1BSBNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S =  L = 605" " =   NFSJDT  (SBEJFOU EFTDFOU 1BSBNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   FSJDT  (SBEJFOU EFTDFOU BSBNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   SJDT  (SBEJFOU EFTDFOU BNFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   JDT  (SBEJFOU EFTDFOU NFUFST $(Y, Z) = kY Zk   PO [, ] ⇢ = . ⌘Y = . ⌘S = . L = 605" " =   <latexit sha1_base64="InU9V0zyCicPmBiqS87yEhwwI4Q=">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</latexit> Wasserstein flow: <latexit sha1_base64="lzvxwxdINcv2HvQpU/V88ewAsnk=">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</latexit> <latexit sha1_base64="iUK2Y4C7x/eXdutCHErXmucIsDU=">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</latexit> 1 n P i xi <latexit sha1_base64="5SlShoWc3QDKq8DuukujlZu4BZw=">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</latexit> t <latexit sha1_base64="5SlShoWc3QDKq8DuukujlZu4BZw=">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</latexit> t <latexit sha1_base64="Xw2lcI9E20mg4c6mau+Zw/BtCfM=">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</latexit> min x=(xi)i E(x) , W" 2 ( 1 n P i xi , ) <latexit sha1_base64="xe1xipRcaZJsYcK2t05GFlaFf34=">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</latexit> min x=(xi)i f(x) , ¯ W" 2 ( 1 n P i xi , ) dx(t) dt = rE(x(t)) <latexit sha1_base64="OQphY/Hn5bejpVV7cFmoa0v3m54=">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