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

A Schrödinger Tour of Data Sciences

Gabriel Peyré
September 16, 2021
1.4k

A Schrödinger Tour of Data Sciences

Talk at the Schrödinger's problem and Optimal Transport conference, Lisbon, 14-17 September 2021

Gabriel Peyré

September 16, 2021
Tweet

Transcript

  1. A Schrödinger Tour of Data Sciences Gabriel Peyré É C

    O L E N O R M A L E S U P É R I E U R E RESEARCH UNIVERSITY PARIS Joint work with: François-Xavier Vialard Lénaic Chizat Flavier Léger Pierre Roussillon
  2. Density Fitting and Generative Models ✓ Parametric model: ✓ 7!

    ↵✓ <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> ↵✓ <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> Observations: def. = 1 n Pn i=1 xi <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">AAA/zHiczVvNchy3EYadH1vMj+XkmEMmoRRLLkVFMq5yEpeLlkiKpLUSKZEryfZazP4Ml2MNd1YzuxSpyfqYl8kj5AHyDHmD6JBrUrmluwEMMLuYaYxiV5kokhgsvu5GA+gfYLY3jqNssrLyjzfe/N73f/DDt96+tPSjH//kp+9cfvdnj7JkmvbDdj+Jk/RJr5uFcTQK25NoEodPxmnYPe3F4ePesw38/PFZmGZRMjqcXIzDL0+7w1F0HPW7E2g6utztTMJzwOV7vSxMz6g1++MsuJJ3iHjei6fhrNMLZ0EnfD4Ij4POcdrt56uzfDTrZNPTozz6eHX2dBR0BuFRXkKdH0Wz2ZWjy8srN1foJ1isrKrKslA/+8m7v3xfdMRAJKIvpuJUhGIkJlCPRVdkUL4Qq2JFjKHtS5FDWwq1iD4PxUwsAXYKvULo0YXWZ/B3CE9fqNYRPCPNjNB94BLDbwrIQFwFTAL9Uqgjt4A+nxJlbK2inRNNlO0C/vcUrVNonYgTaOVwuqc/bgCtxyAbaqZ+zBPo93saawS9x9SCWugrblPSHo4wsEY/AQpjaMP6AD5Pod4npJ6PgDAZ6QjnoEuf/5N6Yis+91XfqXhFo/mu6O+7p5erDUogdsV9sSFaoi02xZY4IHnryxLhNmAcY9BxCpIPQUMo7TWQ5jr8X4M9tSI+hNo2yNijPiGMJRD78P+C5F9SsgbinrglDsUO8b4G9XtQu95gnrieem1nNBv+62aJWWUpzchFrQQTGv+ULEAqzmv74toZqNk8pvWQqR1ZP6dSgxviodirnT/kPAL6L8gSnZIGkWMO7UOQCVdoDPzQJuJa/qv4WixD/WvxN7WOA5ArVSv7hOjJJ3+af4KCNN+DMhOXiGYbpF4qRhnAk5yBpFj9XXFGeyMgSz6Fz+ReimntjahX3ejuQ5lRTa+aHpScWme1yA0oLuQGi9yG4kJus8gWFBeyxSL3obiQ+wpZh30AxYV9wHJ9CMWFfMgiD6G4kIcs8hEUF/IRi/wcigv5OYu8A8WFvMMi70JxIe+yyDYUF7LNIreguJBbClm919CuJUQnYvbVLaiXeaCfiqHlFivfbbKxLuxtj13Zr8Dy+3IT/ruxmx46DSuwWx6r57gCy6+fbbBybixvTXbIR7qwOyx2F1aAG7vLYj8VX1VgP/XYL88qsPyOaZG/cWF5+3kPntzYeyz2PtTcWN7L7EGLG7vnYfPHFdh9FvtAPK/A+lj9tALL2/0DisVc2AMPnzGpwPJeow2xgxvL29NHEIO4sbzPeQytbuxjFvuEokYX9gmL/YyiUxf2Mw8/+bICqz2ljN6HFAOGsGPrqHWLXYm1MVDrMvzjwrdgDX3UgMUMC8yQMKcsYrtAbHsiWgWi5S1XVtjRjCJWnstBgTjwRPQK34S1Cdt/UPQfUG7GIzYLxOYcoi4LwLnWYzmj6EK3cMhJ4bmw5jOmpLDfWAvVeqi3vBqxV0LItX1CK/8G5eqYyQwob62mdlL4eIkM6LkO8YJyPT1KzYPHTQqrYKPOWVTPgeqxqAsH6oJFTR2oKYs6c6DOWJTZ+Tau47ECjP5xLnJ60rk/d5ZSPrvYA4+7Bd4PW/bgv89ZSn1WjicC6Cl19mxscQq1nDJpk9ltUo4sTxpCkEz23FNnTPiEZ5O52nXSDs8KXx4IfeLpTycieYYFHYwXA9pRzejcpZYZxXey1gy/U+x8XWuG3yKNzyiOl7Vm+ImSfvIash8q7OFrYA9gP42V9k29KQ15hiJp6Dpnm3cLu4nnlee0c2RbU/4bVJM6MPVmNDJrDFlpDE1oGF1mli6bUcEYSca2uhY0HslIZbem3lSGhHzlSMlhnprODPYZqJnR9WY09iGu2qDMOrfqTVfouBiNqTej8UjIs/UZxeu63ozGkJ6lPky9GQ08U+mqbN7Um1pv1IDMkE1dxywpRTH6xDki711/lmJH5Is+Bk9UnhYRfD0lE3lW0+kVfqZeonnr0kQO9P5TK0Iq08jFGpv9SBkmJd+7SMf4X9R8C7QYwK6V5/rcmXQMEuoTg5BOyZ8StXpMeWQat8bi0JIcz6E6qnXCxnKGrzzTKbcdUSuXNZnRGj12yM5mtPbGFLG1SLOcHlqVM1xFkdNQq6Qhnl4T3b2kHZzMaX+FxY3nEONipfXpdkjeUtdnkS6tH1g6vqpuUSZQ5J2KWb94FnxMuJQykoSsDcpSx9Pup0957Db0hzeEOYGWnwU0o2ivzshqRHTjk7FxiD7LlZFyTs+Gdpvu2cq3VoGiMhbyRhXPuPG0O6D7TNvWcrxRX/r8TNYzsrrmHr3+dsyghw500+xjA3zFfagdQjTfhqdDj/zD3LklpO9U/La4/0xo/uqzbftmr1PQkNYmLNnHugz4pETlBaBxLcgM2p/GPB2N7yxQ4jNylzwmryzb/at0p6/fHOnSCq9ey9WnJAPiukZcA9oz8r5fPs1zkBLkzk/WKOqsHyXya8IRLSjH9anFWeplRO/ShJRbjimejWmvcXuj3Ns+O5r/RHPaF/qtCrwrTsg+BmT9AvBOCa3JgH7tt3L0uxXSHsRkIX2sTlTENq5IJ2LXWES7XK4R+b6QWW8hWbIp8dd07d2V0VqUcb70ArO5ta110qJIMCSuqbLtZm/X+x5Emjch7FUiKZq1co34X6e/+levk+WFFYEaxhnIlKVzzUdCmQbqqEs+vt4G6b62lFcKGZ4qqY33MzJdKUm2SXkSyoO+egCc+/QseeEqSUnubKGP9KJ1J61IeTynRxwteteOsvpD5X9R7hvkI5dpz3WEecNGx/66L3fCO8+3nleZuh/t7FuhbnRd1hpSDIQ5XZUa4s7eQ8qxbCljeidJvn0TKkqLWk/netXzGdFaPLX28p+h9VfwV8utn/3o9EpW4TatAUnBPBmNyJZgoYcfr9slXnplalrm2fAza1L3slteJyuW1s1kxmeNqezTqjlXZw267jP+Q7rDMxrQ7dqKHM1F0Ifqzs+XejPa/pSnLGU+dtKoyENKO+fxozpgqfK5uEa9ZGmtsLTwbTz7RN3enbbvvEOxQ58iHJkdDGgXRBTT6Nb6PEhSQF4fKPtl764OteBe6pGFQsrltwrx7K4v5DukUsbfKM+RkB01O06/s/NC9dE2rEP13y0gTymbzWjvaMQH1CNU8ttyBHM7/qbl0wM68+5SzCL9en1Gavc2sxCU/LXJ5uReMLxi8Z6Kxkc0BxPxqpbb7kJ+uGtliIGQ931xEcHjLL9qNMuYt8mVoXN1d/SW0SyhJ0kpn5dRY49s1OIpg7zFGoH29bq7SVLn4mMP6yDzSrNT7PWFn01VVoJjex96oubNzLt68Pxib44cv9e5z+qS5zhVcWA+9/x6tLrKk5Sf6/QwneNr9DEVI5UT6ujdZFJlTEd85M1FStSMi8T4cGk2iibyN5O8iczy3saXsu6tKZezeWljTign4d6DRIQrgrrmjJiuM+PoLdDrEdamJls4Snjelagc3La2ePJzacEXydZLtR4ptrxRlbfQ1G2PYWy4tJAhWb9YcOcisndfyPdRqzIoOzf4CAr+DYQrf9LexOd07QCiSHyv3u9bEfU3+c9VXZ74BdSCO3kwl5121TjLPepn+blF3abvw8GfRwS65qSPyA82lV1S5iW3qfvTf0F7OBUhK73p2XwMNhd+JIucmownIrvEjyYS+ntMTceiOfiMpMzFn4889+dGcSz09+majUFT50dQ5tCEh76f95tz07s5L5tTvb4WufjykDZc30hoHN6MVWcbpp+PhUqtGfnmOaB1OK6hrr3F/zsOzcdwas7Ll1tG33X6ymPWZb9QnVliNNt8zxhuPqu5mqM/z6QYnYl13Pxk1BY0mqnEGs03Tx+jSbMGNK9cyJNCXjqJt1eRkdeXCp6cu2RIxH+9ZJD4Khl8qegT/GpKugdPTX/TzzUq/ZmPTIZOlUxlakhPZtod2sMhnRaYm50BPRdvWx5dXl6d/9b5YqW9dvMPN1cfrC1/clt9If1t8QvxawjkV8WH4hOxAwFmG0T4u/iX+Lf4z/re+nQ9X5/Jrm++oTA/F6Wf9b/8DwQjSDs=</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> xi <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit>
  3. Density Fitting and Generative Models ✓ Parametric model: ✓ 7!

    ↵✓ <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> ↵✓ <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">AAA/f3iczVvrchu3FUbcW6xe4rT91x/dVnFjZ1yNrHomzWQ6ji3JshLaki3RdhLGKi8rauMVl94lZcss8yz92/YR+iR9g/oR+q/nHAALLIndA7jpTISRhAXxnXNwAJwLsOyN06SYrK//660L3/v+D374o7cvrvz4Jz/92TuX3v35oyKb5v243c/SLH/S6xZxmozi9iSZpPGTcR53T3tp/Lj3bBM/f3wW50WSjQ4n5+P4q9PucJQcJ/3uBJqOLv1y1iEiszwezDvd9KgzOZkfXVpdX1unn2i5cl1VVoX62c/e/fUHoiMGIhN9MRWnIhYjMYF6KrqigPKluC7WxRjavhIzaMuhltDnsZiLFcBOoVcMPbrQ+gz+DuHpS9U6gmekWRC6D1xS+M0BGYnLgMmgXw515BbR51OijK11tGdEE2U7h/89ResUWifiBFo5nO7pjxtA6zHIhpppHvME+v2RxppA7zG1oBb6ituUtIcjjKzRT4DCGNqwPoDPc6j3CannIyJMQTrCOejS5/+mntiKz33Vdype02i+K/r77unlckCJxK64LzZFS7TFltgWByRvc1kh3CaMYww6zkHyIWgIpb0C0lyF/xuwp9bFh1DbARl71CeGsURiH/6fk/wrStZI3BO3xKG4S7yvQP0e1K4GzBPXU6/tgmbDf92sMKsspxk5b5RgQuOfkgXIxcvGvrh2Bmo2j2k9FGpHNs+p1OCmeCj2GucPOY+A/guyRKekQeQ4g/YhyIQrNAV+aBNxLf9DfCNWof6N+KdaxxHIlauVfUL05JM/zT9DQZrvQ5mLi0SzDVKvlKOM4EnOQFau/q44o70RkSWfwmdyL6W09kbUq2l096HMqaZXTQ/KjFrnjchNKC7kJovcgeJC7rDIFhQXssUi96G4kPsK2YR9AMWFfcByfQjFhXzIIg+huJCHLPIRFBfyEYv8AooL+QWLvAPFhbzDIj+D4kJ+xiLbUFzINovchuJCbitk/V5Du5YRnYTZV7egXuWBfiqFllusfLfJxrqwtz12Zb8Gy+/LLfjvxm556DSuwW57rJ7jGiy/fnbAyrmxvDW5Sz7Shb3LYndhBbixuyz2U/F1DfZTj/3yrAbL75gW+RsXlref9+DJjb3HYu9DzY3lvcwetLixex42f1yD3WexD8TzGqyP1c9rsLzdP6BYzIU98PAZkxos7zXaEDu4sbw9fQQxiBvL+5zH0OrGPmaxTyhqdGGfsNjPKTp1YT/38JOvarDaU8rofUgxYAw7tolat9yVWBsDtS7DPy19C9bQRw1YzLDEDAlzyiJ2SsSOJ6JVIlrechWlHS0oYuW5HJSIA09Er/RNWJuw/Qdl/wHlZjxiq0RsLSCasgCcaz2WM4oudAuHnJSeC2s+Y8pK+421WK2HZsurEXsVhFzbJ7Tyr1GujpnMgPLWemonpY+XyIiemxAvKNfTo9Q8eNyktAo26iWL6jlQPRZ17kCds6ipAzVlUWcO1BmLMjvfxnU8VoDRP87FjJ507s+dpVTPLvbA426D98OWPfjvc5bSnJXjiQB6Sp09G1ucQ21GmbTJ7LYoR5YnDTFIJnvuqTMmfMKzyZnaddIOz0tfHgl94ulPJyF5hiUdjBcj2lFhdD6jljnFd7IWhr9b7nxdC8Nvk8bnFMfLWhh+oqSfvIHshwp7+AbYA9hPY6V9Uw+lIc9QJA1d52zzbmk38bzyJe0c2RbKf5NqUgemHkajsMZQVMYQQsPosrB0GUYFYyQZ2+paFDySkcpuTT1Uhox85UjJYZ5CZwb7DNTM6HoYjX2IqzYps55Z9dAVOi5HY+phNB4JebY+p3hd18NoDOlZ6sPUw2jgmUpXZfOmHmq9UQMyQzZ1HbPkFMXoE+eEvHfzWYodkS/7GDxReVpG8M2UTORZT6dX+plmiRatS4gc6P2nVoRUpTETG2z2I2WYVHzvMh3jf1HzLdBiBLtWnutzZ9IpSKhPDGI6JX9K1Jox1ZFp3AaLQ0tyvIDqqNYJG8sZvvJMp9p2RK1c1mRGa/TYITtb0NobU8TWIs1yemjVznAdRU5DrYqGeHohuntFOzhb0P46ixsvIMblSuvT7ZC8pW7OIl1aP7B0fFndokygyDsVs37xLPiYcDllJBlZG5SliafdT5/y2G3oD68JcwItP4toRtFenZHVSOjGp2DjEH2WKyPlGT0b2m26Z6veWkWKyljIG1U848bT7ojuM21by/FGfenzM1kvyOqae/Tm2zGDHjrQodnHJviK+1A7hGi+DU+HHvmHuXPLSN+5+H15/5nR/DVn2/bNXqekIa1NXLGPTRnwSYXKC0DjWpAZtD+NRToa31mixGfkLnlMXlm1+5fpTl+/OdKlFV6/lutPSQbEdYO4RrRn5H2/fFrkICWYOT/ZoKizeZTIL4QjWlCO61OLs9TLiN6liSm3HFM8m9Je4/ZGtbd9drT4iea0L/RbFXhXnJF9jMj6ReCdMlqTEf3ab+XodyukPUjJQvpYnaSMbVyRTsKusYR2uVwj8n0hs95ismRT4q/p2ruroLUo43zpBeYLa1vrpEWRYExcc2Xbzd5u9j2ING9C2KtEUjRr5Qrxv0p/9a9eJ6tLKwI1jDNQKEvnmo+MMg3UUZd8fLMN0n1tKd8rZXiqpDbez8j0XkWyLcqTUB701QPg3KdnyQtXSU5yF0t9pBdtOmlFyuMFPeJo0bt2lNUfKv+Lcl8jH7lKe64jzBs2OvbXfbkT3kW+zbyq1P1oF/8X6kbXVa0hxUiY01WpIe7sPaYcy5YypXeS5Ns3saK0rPV8oVcznxGtxVNrL/8FWn8Df7Xc+tmPTq9iFW7TGpAUzJPRiGyJlnr48bpd4aVXpqZlng0/syZ1L7vlTbJiad1MZnwWTGWfVs1Lddag6z7jP6Q7PKMB3a6tyNFCBH2o7vx8qYfR9qc8ZSnzsZNGJR5S2jmPH9UBS5XPxTXqFUtrnaWFb+PZJ+r27rR95x2KHfoU4cjsYEC7IKGYRrc250GSAvK6oeyXvbs61IJ7qUcWCilX3yrEs7u+kO+QShl/pzxHRnbU7Dj9zs4L1UfbsA7V/7CEPKVstqC9oxE3qEes5LfliBZ2/Jrl0yM68+5SzCL9enNGavc2sxBV/LXJ5uReMLxS8b6Kxkc0BxPxupHb7lJ+uGtliJGQ931pGcHjLL8OmmXM2+TK0Lm6O3oraJbQk+SUz8uosUc2avmUQd5ijUD7et2tkdQz8ScP6yDzSrNT7PWFn01VVoJj+wB6oubNzLt68PxSb44cvze5z+qS5zhVceBs4fnNaHWVJ6k+N+lhusDX6GMqRion1NG7yaSqmI742JuLlCiMi8T4cAkbRYj8YZKHyCzvbXwp696acjWblzbmhHIS7j1IRLgiqCvOiOkqM47eEr0eYW1qsoWjhOddmcrBbWuLJz8Xl3yRbL3Y6JFSyxvVeQtN3fYYxoZLCxmT9UsFdy4ie/eFfB+1LoOyc4OPoeDfSLjyJ+1NfE7XDiCKxPfq/b4V0XyT/1zV5YlfRC24kwcL2WlXjbPao3mWn1vUbfo+HPx5JKBrTvqE/GCo7JIyL7lN3Z/+C9rDuYhZ6U3P8DHYXPiRLHMKGU9CdokfTSL095hCx6I5+IykysWfjzz350ZxLPT36cLGoKnzI6hyCOGh7+f95tz0Dudlc2rW1zIXXx7ShusbCY3Dm7H6bMP087FQuTUj3z4HtA7HDdS1t/hfx6H5GE7hvHy5FfRdp689Zl32i9WZJUaz4XvGcPNZzfUc/Xlm5ehMrOPmJ6O2KGimMms03z59jCbNGtC8ZkKeFPLSSby9ioy8vlTw5NwlQyb+4yWDxNfJ4EtFn+DXU9I9eGr6m36uUenPfGQydOpkqlJDejLT7tAejum0wNzsDOi5fNvy6NLq9cVvnS9X2htrH61df3Bj9ZPb6gvpb4tfid9CIH9dfCg+EXchwGyDCK/EX8XfxN9vXrh55ebazXXZ9cJbCvMLUfm5+dF/ARbDJxI=</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">AAA/fHiczVvddhu3EUbSv1j9s9vLXnRbxY2dOj6y6tO0J6d1bEmWFdOWbIm2kzB2+bOiNl5x6V1Ssswyb9Lb9qKP0CfpG9SP0Kt2ZgAssCR2B3DTcyIcSVgQ38xgAMwPsOyN06SYrK398623v/Xt73z3e++cW/n+D374ox+fv/CTR0U2zftxu5+lWf6k1y3iNBnF7UkySeMn4zzuHvfS+HHv+QZ+/vgkzoskGx1MzsbxF8fd4Sg5TPrdCTQ9O39h1iEis146jeedXjx/dn517eoa/UTLlWuqsirUz1524efvi44YiEz0xVQci1iMxATqqeiKAsrn4ppYE2No+0LMoC2HWkKfx2IuVgA7hV4x9OhC63P4O4Snz1XrCJ6RZkHoPnBJ4TcHZCQuAiaDfjnUkVtEn0+JMrbW0Z4RTZTtDP73FK1jaJ2II2jlcLqnP24ArYcgG2qmecwT6Pc7GmsCvcfUglroK25T0h6OMLJGPwEKY2jD+gA+z6HeJ6Sej4gwBekI56BLn/+LemIrPvdV36l4TaP5pujvm6eXiwElEjvivtgQLdEWm2JL7JO8zWWFcBswjjHoOAfJh6AhlPYSSHMZ/q/DnloTH0JtG2TsUZ8YxhKJPfh/RvKvKFkjcU/cFAfiDvG+BPV7ULscME9cT722C5oN/3WzwqyynGbkrFGCCY1/ShYgFy8b++LaGajZPKT1UKgd2TynUoMb4qHYbZw/5DwC+qdkiY5Jg8hxBu1DkAlXaAr80CbiWv67+EqsQv0r8Q+1jiOQK1cr+4joySd/mn+CgjTfgzIX54hmG6ReKUcZwZOcgaxc/V1xQnsjIks+hc/kXkpp7Y2oV9Po7kOZU02vmh6UGbXOG5EbUFzIDRa5DcWF3GaRLSguZItF7kFxIfcUsgn7AIoL+4Dl+hCKC/mQRR5AcSEPWOQjKC7kIxb5GRQX8jMWeRuKC3mbRd6F4kLeZZFtKC5km0VuQXEhtxSyfq+hXcuITsLsq5tQr/JAP5VCy01WvltkY13YWx67sl+D5fflJvx3Yzc9dBrXYLc8Vs9hDZZfP9tg5dxY3prcIR/pwt5hsTuwAtzYHRb7ifiyBvuJx355XoPld0yL/I0Ly9vPe/Dkxt5jsfeh5sbyXmYXWtzYXQ+bP67B7rHYB+JFDdbH6uc1WN7u71Ms5sLue/iMSQ2W9xptiB3cWN6ePoIYxI3lfc5jaHVjH7PYJxQ1urBPWOynFJ26sJ96+MlXNVjtKWX0PqQYMIYd20StW+5KrI2BWpfhn5a+BWvoowYsZlhihoQ5ZhHbJWLbE9EqES1vuYrSjhYUsfJc9kvEvieiV/omrE3Y/oOy/4ByMx6xWSI2FxBNWQDOtR7LCUUXuoVDTkrPhTWfMWWl/cZarNZDs+XViN0KQq7tI1r5VyhXx0xmQHlrPbWj0sdLZETPTYhTyvX0KDUPHjcprYKNesmieg5Uj0WdOVBnLGrqQE1Z1IkDdcKizM63cR2PFWD0j3Mxoyed+3NnKdWzi13wuFvg/bBlF/77nKU0Z+V4IoCeUmfPxhbnUJtRJm0yu03KkeVJQwySyZ676owJn/BscqZ2nbTD89KXR0KfePrTSUieYUkH48WIdlQYnbvUMqf4TtbC8HfKna9rYfgt0vic4nhZC8NPlPSTN5D9QGEP3gC7D/tprLRv6qE05BmKpKHrnG3eKe0mnle+pJ0j20L5b1BN6sDUw2gU1hiKyhhCaBhdFpYuw6hgjCRjW12LgkcyUtmtqYfKkJGvHCk5zFPozGCfgZoZXQ+jsQdx1QZl1jOrHrpCx+VoTD2MxiMhz9bnFK/rehiNIT1LfZh6GA08U+mqbN7UQ603akBmyKauY5acohh94pyQ924+S7Ej8mUfgycqT8sIvpmSiTzr6fRKP9Ms0aJ1CZEDvf/UipCqNGZinc1+pAyTiu9dpmP8L2q+BVqMYNfKc33uTDoFCfWJQUyn5E+JWjOmOjKNW2dxaEkOF1Ad1TphYznDV57pVNueUSuXNZnRGj12yM4WtPbGFLG1SLOcHlq1M1xHkdNQq6Ihnl6I7l7RDs4WtL/G4sYLiHG50vp0OyRvqZuzSJfW9y0dX1S3KBMo8k7FrF88Cz4kXE4ZSUbWBmVp4mn306c8dhv6wyvCnEDLzyKaUbRXJ2Q1ErrxKdg4RJ/lykh5Rs+Gdpvu2aq3VpGiMhbyRhXPuPG0O6L7TNvWcrxRX/r8TNYLsrrmHr35dsyghw50aPaxAb7iPtQOIJpvw9OBR/5h7twy0ncuPijvPzOav+Zs277Z65Q0pLWJK/axKQM+qlA5BTSuBZlB+9NYpKPxnSVKfEbuksfklVW7f5Hu9PWbI11a4fVruf6UZEBc14lrRHtG3vfLp0UOUoKZ85N1ijqbR4n8QjiiBeW4PrU4S72M6F2amHLLMcWzKe01bm9Ue9tnR4ufaE57Qr9VgXfFGdnHiKxfBN4pozUZ0a/9Vo5+t0Lag5QspI/VScrYxhXpJOwaS2iXyzUi3xcy6y0mSzYl/pquvbsKWosyzpdeYL6wtrVOWhQJxsQ1V7bd7O1m34NI8yaEvUokRbNWLhH/y/RX/+p1srq0IlDDOAOFsnSu+cgo00AddcnHN9sg3deW8t1ShqdKauP9jEzvViTbpDwJ5UFfPQDOfXqWvHCV5CR3sdRHetGmk1akPF7QI44WvWtHWf2h8r8o9xXykau05zrCvGGjY3/dlzvhXeTbzKtK3Y928X+hbnRd1RpSjIQ5XZUa4s7eY8qxbClTeidJvn0TK0rLWs8XejXzGdFaPLb28p+h9RfwV8utn/3o9CpW4RatAUnBPBmNyJZoqYcfr1sVXnplalrm2fAza1L3slveJCuW1s1kxifBVPZo1bxUZw267jP+A7rDMxrQ7dqKPFuIoA/UnZ8v9TDa/pSnLGU+dtKoxENKO+fxozpgqfK5uEa9YmmtsbTwbTz7RN3enbbvvE2xQ58iHJkdDGgXJBTT6NbmPEhSQF7Xlf2yd1eHWnAv9chCIeXqW4V4dtcX8h1SKeOvlOfIyI6aHaff2TlVfbQN61D9N0vIY8pmC9o7GnGdesRKfluOaGHHX7V8ekRn3l2KWaRfb85I7d5mFqKKvzbZnNwLhlcq3lPR+IjmYCJeN3LbWcoPd6wMMRLyvi8tI3ic5ddBs4x5m1wZOld3R28FzRJ6kpzyeRk19shGLZ8yyFusEWhfr7urJPVM/MHDOsi80uwUe33hZ1OVleDY3oeeqHkz864ePL/UmyPH703us7rkOY5VHDhbeH4zWl3lSarPTXqYLvA1+piKkcoJdfRuMqkqpiM+8uYiJQrjIjE+XMJGESJ/mOQhMst7G1/KuremXM3mpY05opyEew8SEa4I6pIzYrrMjKO3RK9HWJuabOEo4XlXpnJw29riyc+5JV8kW881eqTU8kZ13kJTtz2GseHSQsZk/VLBnYvI3n0h30ety6Ds3OAjKPg3Eq78SXsTn9O1fYgi8b16v29FNN/kv1B1eeIXUQvu5MFCdtpV46z2aJ7lFxZ1m74PB38eCeiakz4hPxgqu6TMS25T96d/Sns4FzErvekZPgabCz+SZU4h40nILvGjSYT+HlPoWDQHn5FUufjzkef+3CgOhf4+XdgYNHV+BFUOITz0/bzfnJve4bxsTs36Wubiy0PacH0joXF4M1afbZh+PhYqt2bk6+eA1uGwgbr2Fv/rODQfwymcly+3gr7r9KXHrMt+sTqzxGg2fM8Ybj6ruZ6jP8+sHJ2Jddz8ZNQWBc1UZo3m66eP0aRZA5rXTMiTQl46ibdXkZHXlwqenLtkyMS/vWSQ+DoZfKnoE/x6SroHT01/0881Kv2Zj0yGTp1MVWpIT2baHdrDMZ0WmJudAT2Xb1s+O796bfFb58uV9vrV31+99uD66se31BfS3xE/E7+EQP6a+FB8LO5AgNkGEU7FX8Rfxd/++J8bF2/8+sYHsuvbbynMT0Xl58Zv/wsjoSbD</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> Observations: def. = 1 n Pn i=1 xi <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> xi <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">AAA/fniczVvrchu3FYbTW6xe4jQ/+6Pbyq7tjOPKamaSTqbj2JIsK6Et2RJtJ2Gs8rKiNl5x6V1Stswyr9K/7fQR+iR9g/oR+q/nHAALLIndA7jpTISRhAXxnXNwAJwLsOyN06SYrK3969xbP/jhj378k7fPr/z0Zz//xTsX3v3loyKb5v243c/SLH/S6xZxmozi9iSZpPGTcR53T3pp/Lj3bAM/f3wa50WSjQ4mZ+P465PucJQcJf3uBJoOL7x3cdYhKrNeOo3nLw+T+cXDC6tr19foJ1qu3FCVVaF+9rJ3f/2+6IiByERfTMWJiMVITKCeiq4ooHwlbog1MYa2r8UM2nKoJfR5LOZiBbBT6BVDjy60PoO/Q3j6SrWO4BlpFoTuA5cUfnNARuISYDLol0MduUX0+ZQoY2sd7RnRRNnO4H9P0TqB1ok4hlYOp3v64wbQegSyoWaaxzyBfh/TWBPoPaYW1EJfcZuS9nCEkTX6CVAYQxvWB/B5DvU+IfV8RIQpSEc4B136/N/UE1vxua/6TsVrGs33RX/fP71cCiiR2BH3xYZoibbYFFtin+RtLiuE24BxjEHHOUg+BA2htFdAmqvwfx321Jr4CGrbIGOP+sQwlkjswf8zkn9FyRqJe+KWOBB3ifcVqN+D2tWAeeJ66rVd0Gz4r5sVZpXlNCNnjRJMaPxTsgC5eNnYF9fOQM3mEa2HQu3I5jmVGtwQD8Vu4/wh5xHQf0GW6IQ0iBxn0D4EmXCFpsAPbSKu5X+Ib8Uq1L8V/1TrOAK5crWyj4mefPKn+WcoSPMylLk4TzTbIPVKOcoInuQMZOXq74pT2hsRWfIpfCb3Ukprb0S9mkZ3H8qcanrV9KDMqHXeiNyA4kJusMhtKC7kNotsQXEhWyxyD4oLuaeQTdgHUFzYByzXh1BcyIcs8gCKC3nAIh9BcSEfscgvobiQX7LIO1BcyDss8nMoLuTnLLINxYVss8gtKC7klkLW7zW0axnRSZh9dQvqVR7op1JoucXKd5tsrAt722NX9muw/L7chP9u7KaHTuMa7JbH6jmqwfLrZxusnBvLW5O75CNd2LssdgdWgBu7w2I/E9/UYD/z2C/ParD8jmmRv3Fheft5D57c2Hss9j7U3Fjey+xCixu762HzxzXYPRb7QDyvwfpY/bwGy9v9fYrFXNh9D58xqcHyXqMNsYMby9vTRxCDuLG8z3kMrW7sYxb7hKJGF/YJi/2ColMX9gsPP/mqBqs9pYzehxQDxrBjm6h1y12JtTFQ6zL809K3YA191IDFDEvMkDAnLGK7RGx7IlolouUtV1Ha0YIiVp7LfonY90T0St+EtQnbf1D2H1BuxiM2S8TmAqIpC8C51mM5pehCt3DISem5sOYzpqy031iL1XpotrwasVtByLV9TCv/GuXqmMkMKG+tp3Zc+niJjOi5CfGCcj09Ss2Dx01Kq2CjXrKongPVY1FnDtQZi5o6UFMWdepAnbIos/NtXMdjBRj941zM6Enn/txZSvXsYhc87hZ4P2zZhf8+ZynNWTmeCKCn1NmzscU51GaUSZvMbpNyZHnSEINksueuOmPCJzybnKldJ+3wvPTlkdAnnv50EpJnWNLBeDGiHRVG53NqmVN8J2th+Lvlzte1MPwWaXxOcbysheEnSvrJG8h+oLAHb4Ddh/00Vto39VAa8gxF0tB1zjbvlHYTzytf0s6RbaH8N6gmdWDqYTQKawxFZQwhNIwuC0uXYVQwRpKxra5FwSMZqezW1ENlyMhXjpQc5il0ZrDPQM2MrofR2IO4aoMy65lVD12h43I0ph5G45GQZ+tzitd1PYzGkJ6lPkw9jAaeqXRVNm/qodYbNSAzZFPXMUtOUYw+cU7IezefpdgR+bKPwROVp2UE30zJRJ71dHqln2mWaNG6hMiB3n9qRUhVGjOxzmY/UoZJxfcu0zH+FzXfAi1GsGvluT53Jp2ChPrEIKZT8qdErRlTHZnGrbM4tCRHC6iOap2wsZzhK890qm2H1MplTWa0Ro8dsrMFrb0xRWwt0iynh1btDNdR5DTUqmiIpxeiu1e0g7MF7a+xuPECYlyutD7dDslb6uYs0qX1fUvHl9QtygSKvFMx6xfPgo8Il1NGkpG1QVmaeNr99CmP3Yb+8JowJ9Dys4hmFO3VKVmNhG58CjYO0We5MlKe0bOh3aZ7tuqtVaSojIW8UcUzbjztjug+07a1HG/Ulz4/k/WCrK65R2++HTPooQMdmn1sgK+4D7UDiObb8HTgkX+YO7eM9J2LD8r7z4zmrznbtm/2OiUNaW3iin1syoCPK1ReABrXgsyg/Wks0tH4zhIlPiN3yWPyyqrdv0R3+vrNkS6t8Pq1XH9KMiCu68Q1oj0j7/vl0yIHKcHM+ck6RZ3No0R+IRzRgnJcn1qcpV5G9C5NTLnlmOLZlPYatzeqve2zo8VPNKc9od+qwLvijOxjRNYvAu+U0ZqM6Nd+K0e/WyHtQUoW0sfqJGVs44p0EnaNJbTL5RqR7wuZ9RaTJZsSf03X3l0FrUUZ50svMF9Y21onLYoEY+KaK9tu9naz70GkeRPCXiWSolkrV4j/Vfqrf/U6WV1aEahhnIFCWTrXfGSUaaCOuuTjm22Q7mtLebGU4amS2ng/I9PFimSblCehPOirB8C5T8+SF66SnOQulvpIL9p00oqUxwt6xNGid+0oqz9U/hflvkY+cpX2XEeYN2x07K/7cie8i3ybeVWp+9Eu/i/Uja6rWkOKkTCnq1JD3Nl7TDmWLWVK7yTJt29iRWlZ6/lCr2Y+I1qLJ9Ze/gu0/gb+arn1sx+dXsUq3KY1ICmYJ6MR2RIt9fDjdbvCS69MTcs8G35mTepedsubZMXSupnM+DSYyh6tmpfqrEHXfcZ/QHd4RgO6XVuRw4UI+kDd+flSD6PtT3nKUuZjJ41KPKS0cx4/qgOWKp+La9QrltYaSwvfxrNP1O3dafvOOxQ79CnCkdnBgHZBQjGNbm3OgyQF5PWhsl/27upQC+6lHlkopFx9qxDP7vpCvkMqZfyd8hwZ2VGz4/Q7Oy9UH23DOlT/wxLyhLLZgvaORnxIPWIlvy1HtLDjr1s+PaIz7y7FLNKvN2ekdm8zC1HFX5tsTu4FwysVl1U0PqI5mIjXjdx2lvLDHStDjIS870vLCB5n+XXQLGPeJleGztXd0VtBs4SeJKd8XkaNPbJRy6cM8hZrBNrX6+46ST0Tf/KwDjKvNDvFXl/42VRlJTi296Enat7MvKsHzy/15sjxe5P7rC55jhMVB84Wnt+MVld5kupzkx6mC3yNPqZipHJCHb2bTKqK6YhPvLlIicK4SIwPl7BRhMgfJnmIzPLexpey7q0pV7N5aWOOKSfh3oNEhCuCuuKMmK4y4+gt0esR1qYmWzhKeN6VqRzctrZ48nN+yRfJ1vONHim1vFGdt9DUbY9hbLi0kDFZv1Rw5yKyd1/I91HrMig7N/gECv6NhCt/0t7E53RtH6JIfK/e71sRzTf5z1VdnvhF1II7ebCQnXbVOKs9mmf5uUXdpu/DwZ9HArrmpE/ID4bKLinzktvU/em/oD2ci5iV3vQMH4PNhR/JMqeQ8SRkl/jRJEJ/jyl0LJqDz0iqXPz5yHN/bhRHQn+fLmwMmjo/giqHEB76ft5vzk3vcF42p2Z9LXPx5SFtuL6R0Di8GavPNkw/HwuVWzPy3XNA63DUQF17i/91HJqP4RTOy5dbQd91+sZj1mW/WJ1ZYjQbvmcMN5/VXM/Rn2dWjs7EOm5+MmqLgmYqs0bz3dPHaNKsAc1rJuRJIS+dxNuryMjrSwVPzl0yZOI/XjJIfJ0MvlT0CX49Jd2Dp6a/6ecalf7MRyZDp06mKjWkJzPtDu3hmE4LzM3OgJ7Lty0PL6zeWPzW+XKlvX79j9dvPFhf/fS2+kL62+JX4rcQyN8QH4lPxV0IMNsgwpn4q/ib+PvNczcv3/zg5u9l17fOKcx7ovJz8+P/Aqp3Jjs=</latexit> Density fitting: Maximum likelihood (MLE) d↵✓(x) = ⇢✓(x)dx <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">AAA/pHiczVvdchu3FUbSv1j9c9rLXnRbxY2dcT2y6pk0k8k4tiTLimlLtkTbSRir/FlRG6+49C4pS2aZV+kD9BF63dv2um9QP0Lves4BsMCS2D2Am85EOyKxWHznHBwA5wdY9sZpUkzW1v711tvf+/4Pfvijdy6s/PgnP/3Zzy+++4vHRTbN+3G7n6VZ/rTXLeI0GcXtSTJJ46fjPO6e9NL4Se/5Bj5/chrnRZKNDibn4/irk+5wlBwl/e4Eqg4vftQZRLMO0Znl8WDe6aaHncnx/PLZleiT6pP8ONOPAHR2eHF17doa/UXLheuqsCrU31727q8/EB0xEJnoi6k4EbEYiQmUU9EVBVxfiutiTYyh7isxg7ocSgk9j8VcrAB2Cq1iaNGF2ufwOYS7L1XtCO6RZkHoPnBJ4T8HZCQuASaDdjmUkVtEz6dEGWvraM+IJsp2Dt89ResEaifiGGo5nG7pjxtA7RHIhppp7vME2v2R+ppA6zHVoBb6ituUtIc9jKzeT4DCGOqwPIDnOZT7hNTjERGmIB3hGHTp+b+pJdbifV+1nYrX1Jvviv6+e3q5FHBFYkc8EBuiJdpiU2yJfZK3+Voh3Ab0Yww6zkHyIWgIpb0M0lyB73VYU2viQyhtg4w9ahNDXyKxB9/nJP+KkjUS98UtcSDuEu/LUL4PpSsB48S11HO7oNHwnzcrzCzLaUTOGyWYUP+nZAFycdbYFufOQI3mEc2HQq3I5jGVGtwQj8Ru4/gh5xHQf0mW6IQ0iBxnUD8EmXCGpsAPbSLO5b+Kb8QqlL8Rf1PzOAK5cjWzj4mevPOn+Se4kOb7cM3FBaLZBqlXyl5GcCdHICtnf1ec0tqIyJJP4ZlcSynNvRG1aurdA7jmVNKzpgfXjGrnjcgNuFzIDRa5DZcLuc0iW3C5kC0WuQeXC7mnkE3Yh3C5sA9Zro/gciEfscgDuFzIAxb5GC4X8jGL/AIuF/ILFnkHLhfyDou8B5cLeY9FtuFyIdsscgsuF3JLIevXGtq1jOgkzLq6BeUqD/RTKdTcYuW7TTbWhb3tsSr7NVh+XW7Ctxu76aHTuAa75TF7jmqw/PzZBivnxvLW5C75SBf2LovdgRngxu6w2M/E1zXYzzzWy/MaLL9iWuRvXFjeft6HOzf2Pot9ACU3lvcyu1Djxu562PxxDXaPxT4UL2qwPlY/r8Hydn+fYjEXdt/DZ0xqsLzXaEPs4Mby9vQxxCBuLO9znkCtG/uExT6lqNGFfcpiP6fo1IX93MNPvqrBak8po/chxYAxrNgmat1yVWJpDNS6DP+09C1YQh81YDHDEjMkzAmL2C4R256IVoloectVlHa0oIiV57JfIvY9Eb3SN2FpwrYflO0HlJvxiM0SsbmAaMoCcKx1X04putA1HHJSei4s+fQpK+03lmI1H5otr0bsVhBybh/TzL9KuTpmMgPKW+upHZc+XiIjum9CvKRcT/dS8+Bxk9Iq2KgzFtVzoHos6tyBOmdRUwdqyqJOHahTFmVWvo3reMwAo38cixnd6dyf20up7l3sgsfdAu+HNbvw7bOX0pyV444AekqdPRtbnENpRpm0yew2KUeWOw0xSCZb7qo9JrzDvcmZWnXSDs9LXx4JvePpTycheYYlHYwXI1pRYXTuUc2c4jtZCsPfLVe+LoXht0jjc4rjZSkMP1HST95A9gOFPXgD7D6sp7HSvimH0pB7KJKGLnO2eae0m7hfeUYrR9aF8t+gktSBKYfRKKw+FJU+hNAwuiwsXYZRwRhJxra6FAX3ZKSyW1MOlSEjXzlScpi70JHBNgM1MrocRmMP4qoNyqxnVjl0ho7L3phyGI3HQu6tzyle1+UwGkO6l/ow5TAauKfSVdm8KYdab9SAzJBNWccsOUUxesc5Ie/dvJdiR+TLPgZ3VJ6VEXwzJRN51tPplX6mWaJF6xIiB3r/qRUhVWnMxDqb/UgZJhXfu0zH+F/UfAu0GMGqlfv63J50ChLqHYOYdsmfEbVmTLVnGrfO4tCSHC2gOqp2wsZyhq/c06nWHVItlzWZ3ho9dsjOFjT3xhSxtUiznB5atSNcR5HTUKuiIZ5eiO5e0QrOFrS/xuLGC4hxOdP6dDokT6mbs0iX1vctHV9SpygTuOSZipm/uBd8RLicMpKMrA3K0sTTbqd3eew69IdXhdmBls8iGlG0V6dkNRI68SnYOETv5cpIeUb3hnabztmqp1aRojIW8kQV97hxtzui80zb1nK8UV96/0yWC7K65hy9+XTMoIcOdGj2sQG+4gGUDiCab8PdgUf+Yc7cMtJ3Ln5fnn9mNH7N2bZ9stcpaUhrE1fsY1MGfFyh8hLQOBdkBu1PY5GOxneWKPEZuUsek1dW7f4lOtPXb450aYbXz+X6XZIBcV0nrhGtGXneL+8WOUgJZs4n6xR1NvcS+YVwRAvKcX1mcZZ6GdG7NDHllmOKZ1Naa9zaqLa2944Wn2hOe0K/VYFnxRnZx4isXwTeKaM5GdG//VaOfrdC2oOULKSP1UnK2MYV6STsHEtolcs5It8XMvMtJks2Jf6arr26CpqLMs6XXmC+MLe1TloUCcbENVe23aztZt+DSPMmhD1LJEUzVy4T/yv0qf/1PFldmhGoYRyBQlk613hklGmgjrrk45ttkG5rS/leKcMzJbXxfkam9yqSbVKehPKgrx4A5z7dS144S3KSu1hqI71o004rUh4v6BF7i961o6z+UPlflPsq+chVWnMdYd6w0bG/bsvt8C7ybeZVpe5Hu/i/UDe6rmoNKUbC7K5KDXF77zHlWLaUKb2TJN++iRWlZa3nC62a+YxoLp5Ya/nPUPsb+NRy63s/Or2KVbhNc0BSMHdGI7ImWmrhx+t2hZeemZqWuTf8zJzUreyaN8mKpXUzmfFpMJU9mjVnaq9Bl336f0BneEYDul5bkcOFCPpAnfn5Ug+j7U95ylLmYyeNSjyktHMeP6oDliqfi2vUK5bWGksL38azd9Tt1Wn7zjsUO/QpwpHZwYBWQUIxja5tzoMkBeR1Q9kve3V1qAbXUo8sFFKuvlWIe3d9Id8hlTL+TnmOjOyoWXH6nZ2Xqo22YR0q/2EJeULZbEFrRyNuUItYyW/LES2s+GuWT49oz7tLMYv0680Zqd3ajEJU8dcmm5NrwfBKxfsqGh/RGEzE60ZuO0v54Y6VIUZCnvelZQSPo/w6aJQxb5MzQ+fq7uitoFFCT5JTPi+jxh7ZqOVdBnmKNQLt63l3jaSeiU88rIPMK81KsecXPpuqrAT79gG0RM2bkXe14Pml3hw5fm9yntUlz3Gi4sDZwv2b0eoqT1K9b9LDdIGv0cdUjFROqKN3k0lVMR3xsTcXKVEYF4nx4RLWixD5wyQPkVme2/hS1q015Wo2L23MMeUk3HuQiHBFUJedEdMVph+9JXo9wtrUZA1HCfe7MpWD29YWd34uLPkiWXuh0SOlljeq8xaauu0xjA2XFjIm65cKbl9Etu4L+T5qXQZl5wYfw4WfkXDlT9qb+Oyu7UMUie/V+/0qovkk/4Uqyx2/iGpwJQ8WstOu6me1RfMov7Co2/R9OPjzSEDXnPQJ+cFQ2SVlXnKbuj/9l7SGcxGz0puW4X2wufA9WeYU0p+E7BLfm0To3zGF9kVz8OlJlYs/H7nvz/XiSOjf04X1QVPne1DlEMJDn8/7jblpHc7L5tSsr2UuvjykDdcnEhqHJ2P12YZp52OhcmtEvn0OaB2OGqhrb/G/9kPzMZzCeflyK+i3Tl97jLpsF6s9S4xmw9eM4eYzm+s5+vPMyt6ZWMfNT0ZtUdBIZVZvvn36GE2aOaB5zYTcKeSlk3h7Fhl5fangzrlLhkz8x0sGia+TwZeK3sGvp6Rb8NT0L/1cvdLPfGQydOpkqlJDejLT7tAajmm3wJzsDOi+fNvy8OLq9cVfnS8X2uvXPrp2/eGN1U9vqx+kvyN+JX4Lgfx18aH4VNyFALMNIvxF/F38Q/zz5vs379/cv9mWTd9+S2F+KSp/N5/9FwhyNa0=</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit>
  4. Density Fitting and Generative Models ✓ Parametric model: ✓ 7!

    ↵✓ <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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</latexit> ↵✓ <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">AAA/f3iczVvrchu3FUbcW6xe4rT91x/dVnFjZ1yNrHomzWQ6ji3JshLaki3RdhLGKi8rauMVl94lZcss8yz92/YR+iR9g/oR+q/nHAALLIndA7jpTISRhAXxnXNwAJwLsOyN06SYrK//660L3/v+D374o7cvrvz4Jz/92TuX3v35oyKb5v243c/SLH/S6xZxmozi9iSZpPGTcR53T3tp/Lj3bBM/f3wW50WSjQ4n5+P4q9PucJQcJ/3uBJqOLv1y1iEiszwezDvd9KgzOZkfXVpdX1unn2i5cl1VVoX62c/e/fUHoiMGIhN9MRWnIhYjMYF6KrqigPKluC7WxRjavhIzaMuhltDnsZiLFcBOoVcMPbrQ+gz+DuHpS9U6gmekWRC6D1xS+M0BGYnLgMmgXw515BbR51OijK11tGdEE2U7h/89ResUWifiBFo5nO7pjxtA6zHIhpppHvME+v2RxppA7zG1oBb6ituUtIcjjKzRT4DCGNqwPoDPc6j3CannIyJMQTrCOejS5/+mntiKz33Vdype02i+K/r77unlckCJxK64LzZFS7TFltgWByRvc1kh3CaMYww6zkHyIWgIpb0C0lyF/xuwp9bFh1DbARl71CeGsURiH/6fk/wrStZI3BO3xKG4S7yvQP0e1K4GzBPXU6/tgmbDf92sMKsspxk5b5RgQuOfkgXIxcvGvrh2Bmo2j2k9FGpHNs+p1OCmeCj2GucPOY+A/guyRKekQeQ4g/YhyIQrNAV+aBNxLf9DfCNWof6N+KdaxxHIlauVfUL05JM/zT9DQZrvQ5mLi0SzDVKvlKOM4EnOQFau/q44o70RkSWfwmdyL6W09kbUq2l096HMqaZXTQ/KjFrnjchNKC7kJovcgeJC7rDIFhQXssUi96G4kPsK2YR9AMWFfcByfQjFhXzIIg+huJCHLPIRFBfyEYv8AooL+QWLvAPFhbzDIj+D4kJ+xiLbUFzINovchuJCbitk/V5Du5YRnYTZV7egXuWBfiqFllusfLfJxrqwtz12Zb8Gy+/LLfjvxm556DSuwW57rJ7jGiy/fnbAyrmxvDW5Sz7Shb3LYndhBbixuyz2U/F1DfZTj/3yrAbL75gW+RsXlref9+DJjb3HYu9DzY3lvcwetLixex42f1yD3WexD8TzGqyP1c9rsLzdP6BYzIU98PAZkxos7zXaEDu4sbw9fQQxiBvL+5zH0OrGPmaxTyhqdGGfsNjPKTp1YT/38JOvarDaU8rofUgxYAw7tolat9yVWBsDtS7DPy19C9bQRw1YzLDEDAlzyiJ2SsSOJ6JVIlrechWlHS0oYuW5HJSIA09Er/RNWJuw/Qdl/wHlZjxiq0RsLSCasgCcaz2WM4oudAuHnJSeC2s+Y8pK+421WK2HZsurEXsVhFzbJ7Tyr1GujpnMgPLWemonpY+XyIiemxAvKNfTo9Q8eNyktAo26iWL6jlQPRZ17kCds6ipAzVlUWcO1BmLMjvfxnU8VoDRP87FjJ507s+dpVTPLvbA426D98OWPfjvc5bSnJXjiQB6Sp09G1ucQ21GmbTJ7LYoR5YnDTFIJnvuqTMmfMKzyZnaddIOz0tfHgl94ulPJyF5hiUdjBcj2lFhdD6jljnFd7IWhr9b7nxdC8Nvk8bnFMfLWhh+oqSfvIHshwp7+AbYA9hPY6V9Uw+lIc9QJA1d52zzbmk38bzyJe0c2RbKf5NqUgemHkajsMZQVMYQQsPosrB0GUYFYyQZ2+paFDySkcpuTT1Uhox85UjJYZ5CZwb7DNTM6HoYjX2IqzYps55Z9dAVOi5HY+phNB4JebY+p3hd18NoDOlZ6sPUw2jgmUpXZfOmHmq9UQMyQzZ1HbPkFMXoE+eEvHfzWYodkS/7GDxReVpG8M2UTORZT6dX+plmiRatS4gc6P2nVoRUpTETG2z2I2WYVHzvMh3jf1HzLdBiBLtWnutzZ9IpSKhPDGI6JX9K1Jox1ZFp3AaLQ0tyvIDqqNYJG8sZvvJMp9p2RK1c1mRGa/TYITtb0NobU8TWIs1yemjVznAdRU5DrYqGeHohuntFOzhb0P46ixsvIMblSuvT7ZC8pW7OIl1aP7B0fFndokygyDsVs37xLPiYcDllJBlZG5SliafdT5/y2G3oD68JcwItP4toRtFenZHVSOjGp2DjEH2WKyPlGT0b2m26Z6veWkWKyljIG1U848bT7ojuM21by/FGfenzM1kvyOqae/Tm2zGDHjrQodnHJviK+1A7hGi+DU+HHvmHuXPLSN+5+H15/5nR/DVn2/bNXqekIa1NXLGPTRnwSYXKC0DjWpAZtD+NRToa31mixGfkLnlMXlm1+5fpTl+/OdKlFV6/lutPSQbEdYO4RrRn5H2/fFrkICWYOT/ZoKizeZTIL4QjWlCO61OLs9TLiN6liSm3HFM8m9Je4/ZGtbd9drT4iea0L/RbFXhXnJF9jMj6ReCdMlqTEf3ab+XodyukPUjJQvpYnaSMbVyRTsKusYR2uVwj8n0hs95ismRT4q/p2ruroLUo43zpBeYLa1vrpEWRYExcc2Xbzd5u9j2ING9C2KtEUjRr5Qrxv0p/9a9eJ6tLKwI1jDNQKEvnmo+MMg3UUZd8fLMN0n1tKd8rZXiqpDbez8j0XkWyLcqTUB701QPg3KdnyQtXSU5yF0t9pBdtOmlFyuMFPeJo0bt2lNUfKv+Lcl8jH7lKe64jzBs2OvbXfbkT3kW+zbyq1P1oF/8X6kbXVa0hxUiY01WpIe7sPaYcy5YypXeS5Ns3saK0rPV8oVcznxGtxVNrL/8FWn8Df7Xc+tmPTq9iFW7TGpAUzJPRiGyJlnr48bpd4aVXpqZlng0/syZ1L7vlTbJiad1MZnwWTGWfVs1Lddag6z7jP6Q7PKMB3a6tyNFCBH2o7vx8qYfR9qc8ZSnzsZNGJR5S2jmPH9UBS5XPxTXqFUtrnaWFb+PZJ+r27rR95x2KHfoU4cjsYEC7IKGYRrc250GSAvK6oeyXvbs61IJ7qUcWCilX3yrEs7u+kO+QShl/pzxHRnbU7Dj9zs4L1UfbsA7V/7CEPKVstqC9oxE3qEes5LfliBZ2/Jrl0yM68+5SzCL9enNGavc2sxBV/LXJ5uReMLxS8b6Kxkc0BxPxupHb7lJ+uGtliJGQ931pGcHjLL8OmmXM2+TK0Lm6O3oraJbQk+SUz8uosUc2avmUQd5ijUD7et2tkdQz8ScP6yDzSrNT7PWFn01VVoJj+wB6oubNzLt68PxSb44cvze5z+qS5zhVceBs4fnNaHWVJ6k+N+lhusDX6GMqRion1NG7yaSqmI742JuLlCiMi8T4cAkbRYj8YZKHyCzvbXwp696acjWblzbmhHIS7j1IRLgiqCvOiOkqM47eEr0eYW1qsoWjhOddmcrBbWuLJz8Xl3yRbL3Y6JFSyxvVeQtN3fYYxoZLCxmT9UsFdy4ie/eFfB+1LoOyc4OPoeDfSLjyJ+1NfE7XDiCKxPfq/b4V0XyT/1zV5YlfRC24kwcL2WlXjbPao3mWn1vUbfo+HPx5JKBrTvqE/GCo7JIyL7lN3Z/+C9rDuYhZ6U3P8DHYXPiRLHMKGU9CdokfTSL095hCx6I5+IykysWfjzz350ZxLPT36cLGoKnzI6hyCOGh7+f95tz0Dudlc2rW1zIXXx7ShusbCY3Dm7H6bMP087FQuTUj3z4HtA7HDdS1t/hfx6H5GE7hvHy5FfRdp689Zl32i9WZJUaz4XvGcPNZzfUc/Xlm5ehMrOPmJ6O2KGimMms03z59jCbNGtC8ZkKeFPLSSby9ioy8vlTw5NwlQyb+4yWDxNfJ4EtFn+DXU9I9eGr6m36uUenPfGQydOpkqlJDejLT7tAejum0wNzsDOi5fNvy6NLq9cVvnS9X2htrH61df3Bj9ZPb6gvpb4tfid9CIH9dfCg+EXchwGyDCK/EX8XfxN9vXrh55ebazXXZ9cJbCvMLUfm5+dF/ARbDJxI=</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> Observations: def. = 1 n Pn i=1 xi <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> <latexit sha1_base64="NVr4d97mahJgu8Mr3K/nifIrenM=">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</latexit> xi <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> <latexit sha1_base64="7cnkWZ1dfzNhQUyv3wTbad+Ww28=">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</latexit> Density fitting: Maximum likelihood (MLE) d↵✓(x) = ⇢✓(x)dx <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> <latexit sha1_base64="HlcoTTfmqnXchl60wS/t+8acRjI=">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</latexit> g✓ X Z ⇣ Generative model fit: ! MLE undefined. ! Need a weaker metric. ↵✓ = g✓,]⇣ <latexit sha1_base64="W/xAH4ZEbKVL5sYCOuVPDm3rS+Q=">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</latexit> <latexit sha1_base64="W/xAH4ZEbKVL5sYCOuVPDm3rS+Q=">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</latexit> <latexit sha1_base64="W/xAH4ZEbKVL5sYCOuVPDm3rS+Q=">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</latexit> <latexit sha1_base64="W/xAH4ZEbKVL5sYCOuVPDm3rS+Q=">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</latexit> <latexit sha1_base64="W/xAH4ZEbKVL5sYCOuVPDm3rS+Q=">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</latexit> ↵✓ <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="lWnDUgue/pmzTJYmkYn0saVTkWY=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> <latexit sha1_base64="/IX3qCorxR4bVe9DcVqsRyK1ko8=">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</latexit> min ✓ Wp ",p (↵✓, ) <latexit sha1_base64="RHDQP6GeQ86dQuovzFvJGv7x/Jc=">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</latexit> <latexit sha1_base64="RHDQP6GeQ86dQuovzFvJGv7x/Jc=">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</latexit> <latexit sha1_base64="RHDQP6GeQ86dQuovzFvJGv7x/Jc=">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</latexit> <latexit sha1_base64="RHDQP6GeQ86dQuovzFvJGv7x/Jc=">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</latexit>
  5. Shrödinger and kernels dimensionality Curse of meets Shrödinger Gromov X

    <latexit sha1_base64="/59ZCDJZPBrZfCS8zgReJB0hTeY=">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</latexit> <latexit sha1_base64="/59ZCDJZPBrZfCS8zgReJB0hTeY=">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</latexit> <latexit sha1_base64="/59ZCDJZPBrZfCS8zgReJB0hTeY=">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</latexit> <latexit sha1_base64="/59ZCDJZPBrZfCS8zgReJB0hTeY=">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</latexit> <latexit sha1_base64="/59ZCDJZPBrZfCS8zgReJB0hTeY=">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</latexit> Y <latexit sha1_base64="6tOGw6FSQVfHa06oZqSaTlaRZAo=">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</latexit> <latexit sha1_base64="6tOGw6FSQVfHa06oZqSaTlaRZAo=">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</latexit> <latexit sha1_base64="6tOGw6FSQVfHa06oZqSaTlaRZAo=">AABFdnictVxtc9u4EUaub9f0Ldd+7EyHPZ/bXCd17TSdduamM5fYjuOLkziR7CQXJRlRohUltKiIkvKi81/o1/bf9Hf0H7Sf+rUfuy8AAUogF3TTcGyDIJ7dxRJY7C7AxON0mE83N/9x4aNvffs73/3ex9+/+IMf/ujHP7n0yU+P82w26SVHvSzNJo/ibp6kw1FyNB1O0+TReJJ0T+M0eRi/2sbnD+fJJB9mo/b03Th5etodjIYnw153ilWdx++2n19a29zYpH/RamFLF9aU/neYffLphuqovspUT83UqUrUSE2hnKquyuF6orbUphpD3VO1gLoJlIb0PFFn6iJgZ9AqgRZdqH0Fvwdw90TXjuAeaeaE7gGXFH4mgIzUOmAyaDeBMnKL6PmMKGNtFe0F0UTZ3sHfWNM6hdqpegG1Es60DMVhX6bqRP2J+jCEPo2pBnvX01RmpBWUPHJ6NQUKY6jDch+eT6DcI6TRc0SYnPqOuu3S839SS6zF+55uO1P/IinX4YpUS/c+Kyh01ZzoR/Q2Z/CM5UmB8wAoJLqPWHpDuj6l3o+g/QLq78J1RiWjkxiuBdWe1SK34fIht0XkHlw+5J6IPIDLhzwQkYdw+ZCHGonYCencj2/B5cO3RM734fIh74vIB3D5kA9E5DFcPuSxiPwaLh/yaxF5Ey4f8qaIvA2XD3lbRLbh8iHbIvIILh/ySETuwuVD7mpk9UydwJURnaEwK69DucwDLUUKNddF+W6QdfRhbwTM6V4FVp7VO/DXj90J0GlSgd0NGHcnFVh55O2BjfRjZVt0i1YTH/aWiN2HEeDH7ovYr9TLCuxXATPtVQVWnmsH0M6Pla3vHbjzY++I2LtQ8mPlNeoe1Pix9wJWjHEF9lDE3levK7AhVn9SgZXtfgvsih8rr1NtaO/HhljTWQVWtqfH4MH4sfJq9RBq/diHIvaReluBfSRiH4N192MfB6yw7yuwZo29SCvIgPyRBGZsHbVuMSuxNAZqXYF/WqwtKfnGMdRLmEGBGRDmVETsFYi9QMRBgTgIlisv7GhO/q7MpVUgWoGIuFibsDQV2/eL9lhKAxA7BWJnCVHnkeK7Nn2Zk3dhaiTktFi5sBTSp6yw31hK9Hiot7wGca+E4LH9gkb+FYqWMIJCTdVRe1Gs8YyM6L4O8YaiN9NLw0PGTQur4KLeiqjYg4pF1DsP6p2ImnlQMxE196DmIsrOfBfXCRgBVv/4LhZ0xyOAfeTqKwKv4DqsOrdgjkYwfg7BC3xANffgb4tib+mqkwyjeVwnMcvxtGSJJ1BaqDWot1HhDsXXKc2wBCTjlvd0jI93mNtY6DnHVvisWMmjImMSTmdI8gwKOugtRjSfmtG5TTVn5N1xqRn+VjHvTakZfpc0fkZePJea4ada+uk5ZG9rbPsc2BbMprHWvi03pcH5F6Zhyhdp1UWLi2/1VI8ZpPe2If19/Wb2z/FetqnE+rHlZjRyp395qX9NaFg9546em1FB74m9XlOKGvdkpONeW24qQ0ar6EjLYe+avhls09dvxpSb0TgEj2ubYu6FU246esdFb2y5GY1jxXnPM/LkTbkZjQHdsz5suRkNzLZ0dZxvy00tO2qAY2dbbmrVR5QFxhwQj3musV7RhPykmaY2JP+gPlvj+vyr6xjmbJ4VMUI9JevbVtOJi7WsXiLjLyRg1aYN5UD/Yub4YGUaC3VVjK9YhmlpfV+lY9d41PwBaDGC2c97AFLOPAUJTU4CrXcKFLfEqKvcM4O7KuJwlJwsoTq6dip6i5YvZ43Kdc+pVorLbG+tHjtkr3Mae2PyCQ9Is5IeDirfcBVFSUMHJQ3J9Jro7r2er2Xtb4q48RJiXIy0Hu0I8U5afZzq03rL0fG63uWZwsV7Pnb8Yrb5RFsbjHkyskUoSx1Pt53JI7l1uK5eUTbHzc8ieqNor+ZkNYa0I5WLUajJFrM3vqB7S/uI9uSQB9PowXuMNJWx4l0zzKJjPj0ii+raW4k36stk6Lick9U19rgePXDQAw+6eYyzDSvGXSi1IWY4grt2QJRzsdBVRhqfqN8Wu6MZvcH6iD4tWUhDg+1NUrKQdVH2ixKVN4DG0cBRejiNZToG31mhJEf9Pnls7Fq2/Ou0c2v2t7s0xqtHc3Umpk9crxLXiGYN7+ry3TIHlmDhfXKV/Nf6XiK/JhzRhkpcnzmcWS8j2vFPKIIdk2ec0myTZke5tZufWn5iOB0qs3eOu9kZWciI7F8E61NGYzKiH/fsgNlBZ4uQko0MsTvDwrvx+TpDcYxZP26o+FSDHW8J2bIZ8Td03dmV01jkiIHXgbOlsW10ckC+YEJcJ9q627ldv/og0p6TcEcJU7Rj5TLx/5x+mx8zTtZWRgRqGN9Arm2d731kFLOgjrq0ytfbINPWlfKzQoZnWmq7/lmZPitJtkMRF8qDq3UfOPfonnnhKJmQ3PlKG15H67K5SHm8pEfs7QlF8Wz3B3oFRrmv0Cq5RnOuQ6NkAKNgWkQRpq2URV7mW8+rTD2Mdv5/oW51XdYaUoyUzeCyhqT8fkLRmitlCqOax+8rmk1+rU+WWtXzGdFYPHXm8jdQ+0v4beQ292F04pJVuEFjgCnYO6sRrolWWoTxulHiZUamoWXvLT87Jk0rt+Y88TVbNxtjzxtTOaRR81ZnLUz5PDReOjReBuqwTXuNVoum3lii52Js0da7laH8mnBrN6A8EynLHplBDQOkdGOpMKp9kaoc4xvUe5HWpkirC7PV3Q1w53wI0j/Xl2f3N8XqHqmb5Nv0yAPj+KVPs3RIPpeprY/UmAJyvqbtqzv7O1SD3GOyoEiZz3HijOFdpx5dZ4Wkv9IrW0Z23loEc27pjW5jbGyHyr9fQZ7SnMhpXhrENWqRaPldOaIli7Th+BwRZf675FOx31EfM7ut7TuJSv6EjTd5VlleHCmMSP9S5m1/JXrdd+LXiGLCmfauY6DV/A0jBcaYTILfs8zpDeEqxzsJ7NHGZD9X7RTv4o0ciTZI6oX6c4CN4ajXjnV3bJkem779Blqi1u1b97WQ+aXBHCV+59nR69Kqdqp91MXS/flodfUqV76v08Nsia/Vx4zauJGFjfLKmI76IpgLS9SMC2NCuDTrRRP5m0neRGbenQqlbFobyuVMA9uYFxQvSedAEeHz7i57vbnPhX7EK/RiwrrUuEaihNm4TOcHXEuLWaloKUJy66U1KXXWo6r1wvJwVw1rx9lSJmQFUyXlbri124dOKVqRszFMoaf4ZG9VnOjS/AIu/B0pX5RoOIbkEFvg515X22r3A5yKeK3LnNmMqAZtQn8pBu/qfpZb1OvotUPdpR/CIZzHEHQtST+kFbWp7ExZltylHk7/DVmDiUpE6W3L5n1wucg9WeXUpD9DsnByb4bKfJPTtC+GQ0hPylzC+fD+htSLE2W+bWrWB0Nd7kGZQxMe5jxD2Du3rZvzcjnV62uVSygPXgfMzovB4Q5gdcxi24VYqInzRj48B7QOJzXUzWrxv/bD8LGcmvMK5ZbTN2cvA946t0t0Zhb94uZzxnILGc3VHMN5ZkXvrNfk58f+X9ToTWVObz48ffRL7RgwvBaK86GydIx3R5GVN5QK7g/4ZMjUv9XfL8hfJbwuaFTJ0YSS2a+opmZayNTMl5e+3plnITJZOlUylanZeKJFJ2O31b66CT/bhQfY9JQof1PJfxHr/462D7UnZD1MNp0zCB2qSygLYnfT+nRvz9FWSYxnevmMbxtqcE/8gGrxvO9dao9nftulvlV/ScJz/Y7KVL8UmSzv8tl5FUMPyjtwnAsy3/tGdKaes1l8Au00YI+Rz1FxpGS+fl4Qok9x4bKkC0KY0VJHOfZSjulMUlJBOy71rUcjfKx3+nHfAc/nd4vsUqR+R3VdvTrgSi1JdeiR6gllBmLS/yZEaH9QV+DvFV32S3q4ImlO76As0VvnWf1JsDPvuLBfM65THsxk6ua6XUZRvd09rM/E7lRy4RPv9fhBDX7gSNmit/WK4u6Jqs8dzmpozrRM7n7uSJm8J+sBo9luMT7q4+d5Da95QP9vV6JvO5LugSwxZdsj2s+bEL1U62aXpOdzlfV521s10pqvNpmmPVlpx4E5I1nHAb8q2xZmP395Vr8y4BdmfjruXH8csO+CPZEk4pOZUvYoCZCIz4hK51eGXkqyxRgHnM/oBvRW7mtITyUqM1GSWcC30fMAWeYBdE4EaU5ECgNREm2xnl9a21r+30dWC8dXN7Y2N7buX1v78ob+n0k+Vj9Xn6rLsBr/UX0JM/JQHVGu8S/qr+pvO//Z/cXu+u6vuelHFzTmZ6r0b3fzv4JTXQQ=</latexit> <latexit sha1_base64="6tOGw6FSQVfHa06oZqSaTlaRZAo=">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</latexit> <latexit sha1_base64="6tOGw6FSQVfHa06oZqSaTlaRZAo=">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</latexit> convergence Sinkhorn and
  6. Static Schrödinger Problem Schr¨ odinger’s problem: [1931] Erwin Schrödinger <latexit

    sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">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</latexit> min ⇡1=↵,⇡2= R X2 d(x, y)pd⇡(x, y) + " KL(⇡|↵ ⌦ ) <latexit sha1_base64="1zohFdB3aQQ05l3cPqYNxZB6ULI=">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</latexit> KL(⇡|↵ ⌦ ) def. = R X2 log ⇣ d⇡(x,y) d↵(x)d (y) ⌘ d⇡(x, y) <latexit sha1_base64="FvucDhHhbx+ufIwntX0LmeBDXrQ=">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</latexit> (mutual information) <latexit sha1_base64="OMzXbMItV2dR9mIKv1CwPSTdQF0=">AABE83ictVxfcxPJER8u/y7kHySPedmLjxSXIsT4SC6Xq1QdWAZ8GDBINtxhoLTSWgjWWqGVZEDnT5LKSyqVPOUz5HPkA6QqecpXSP+Z2ZmVZrdnHeItW7Oj+XX39M70dPfMOh6nw3y6vv6PM+9945vf+vZ33v/u2e99/wc//NG58z/ez7PZpJfs9bI0mzyKu3mSDkfJ3nQ4TZNH40nSPYrT5GH8chO/fzhPJvkwG3Wmb8bJk6PuYDQ8HPa6U6h6du78gySF4jyJktF0ko3f/O7ZubX1y+v0E60WrujCmtI/u9n5D/6pDlRfZaqnZupIJWqkplBOVVflcD1WV9S6GkPdE7WAugmUhvR9ok7UWcDOoFUCLbpQ+xL+DuDusa4dwT3SzAndAy4p/E4AGakLgMmg3QTKyC2i72dEGWuraC+IJsr2Bj5jTesIaqfqOdRKONMyFId9mapD9VvqwxD6NKYa7F1PU5mRVlDyyOnVFCiMoQ7Lffh+AuUeIY2eI8Lk1HfUbZe+/xe1xFq87+m2M/VvkvICXJFq695nBYWumhP9iJ7mDL5jeVLgPAAKie4jlo5J10fU+xG0X0D9XbhOqGR0EsO1oNqTWuQmXD7kpoi8CZcPeVNE7sDlQ+6IyF24fMhdjUTshHTux7fh8uHbIuf7cPmQ90XkA7h8yAcich8uH3JfRH4Flw/5lYi8AZcPeUNE3obLh7wtIjtw+ZAdEbkHlw+5JyK34PIhtzSyeqZO4MqIzlCYldegXOaBliKFmmuifNfJOvqw1wPmdK8CK8/qFnz6sa0AnSYV2K2AcXdYgZVH3k2wkX6sbItu0Wriw94SsdswAvzYbRH7hXpRgf0iYKa9rMDKc20H2vmxsvW9A3d+7B0RexdKfqy8Rt2DGj/2XsCKMa7A7orY++pVBTbE6k8qsLLdb4Nd8WPldaoD7f3YEGs6q8DK9nQfPBg/Vl6tHkKtH/tQxD5Sryuwj0Tsl2Dd/dgvA1bYtxVYs8aepRVkQP5IAjO2jlq3mJVYGgO1rsA/LdaWlHzjGOolzKDADAhzJCJuFoibgYidArETLFde2NGc/F2ZS7tAtAMRcbE2YWkqtu8X7bGUBiBaBaK1hKjzSPFZm77MybswNRJyWqxcWArpU1bYbywlejzUW16DuFdC8Nh+TiP/EkVLGEGhpuqoPS/WeEZGdF+HOKbozfTS8JBx08IquKjXIir2oGIR9caDeiOiZh7UTETNPai5iLIz38UdBIwAq398Fgu64xHAPnL1FYFXcA1WnVswRyMYP7vgBT6gmnvw2abYW7rqJMNoHtdJzHI8KVniCZQWag3qbVTYovg6pRmWgGTc8p6O8fEOcxsLPefYCp8UK3lUZEzC6QxJnkFBB73FiOZTMzq3qeaEvDsuNcPfKua9KTXDb5HGT8iL51Iz/FRLPz2F7B2N7ZwC24bZNNbat+WmNDj/wjRM+Sytumhx8ake6TGD9F43pL+tn8z2KZ7LJpVYP7bcjEbu9C8v9a8JDavn3NFzMyroPbHXa0pR456MdNxry01lyGgVHWk57F3TJ4Nt+vrJmHIzGrvgcW1SzL1wyk1H77jojS03o7GvOO95Qp68KTejMaB71octN6OB2ZaujvNtuallRw1w7GzLTa36iLLAmAPiMc811iuakJ8009SG5B/UZ2tcn391HcOczdMiRqinZH3bajpxsZbVS2T8hQSs2rShHOhfzBwfrExjoTbE+IplmJbW91U6do1Hze+AFiOY/bwHIOXMU5DQ5CTQeqdA8YoYdZV7ZnAbIg5HyeES6kDXTkVv0fLlrFG57hnVSnGZ7a3V4wHZ65zG3ph8wh3SrKSHnconXEVR0tBOSUMyvSa6e6vna1n76yJuvIQYFyOtRztCvJNWH6f6tN52dHxB7/JM4eI9Hzt+Mdt8qK0NxjwZ2SKUpY6n287kkdw6XFcvKZvj5u8ieqJor+ZkNYa0I5WLUajJFrM3vqB7S3uP9uSQB9PowXOMNJWx4l0zzKJjPj0ii+raW4k36stk6Lick9U19rgePXDQAw+6eYyzCSvGXSh1IGbYg7tOQJRzttBVRhqfqF8Wu6MZPcH6iD4tWUhDg+1NUrKQdVH28xKVY0DjaOAoPZzGMh2DP1ihJEf9Pnls7Fq2/Bdo59bsb3dpjFeP5upMTJ+4bhDXiGYN7+ry3TIHlmDh/WaD/Nf6XiK/JhzRhkpcnzqcWS8j2vFPKIIdk2ec0myTZke5tZufWv7GcNpVZu8cd7MzspAR2b8I1qeMxmREv+7ZAbODzhYhJRsZYneGhXfj83WG4hizftxQ8akGO94SsmUz4m/ourMrp7HIEQOvAydLY9voZId8wYS4TrR1t3O7fvVBpD0n4Y4SpmjHykXi/xH9Nb9mnKytjAjUMD6BXNs63/PIKGZBHXVpla+3QaatK+WHhQxPtdR2/bMyfViSrEURF8qDq3UfOPfonnnhKJmQ3PlKG15H67K5SHm8pEfs7SFF8Wz3B3oFRrkv0Sq5RnPugEbJAEbBtIgiTFspi7zMt55XmXoY7fz/Qt3quqw1pBgpm8FlDUn5/YSiNVfKFEY1j9+XNJv8Wp8starnM6KxeOTM5a+h9gP4a+Q292F04pJVuE5jgCnYO6sRrolWWoTxul7iZUamoWXvLT87Jk0rt+Y08TVbNxtjzxtT2aVR81pnLUz5NDReODReBOqwQ3uNVoum3liiZ2Js0dG7laH8mnDrNKA8EynLHplBDQOkdGOpMKp9kaoc4xvUW5HWukirC7PV3Q1w53wI0j/Xl2f318XqHqkb5Nv0yAPj+KVPs3RIPpeprY/UmAJyvqrtqzv7D6gGucdkQZEyn+PEGcO7Tj26TgpJf65XtozsvLUI5tzSsW5jbOwBlT9eQR7RnMhpXhrEVWqRaPldOaIli3TZ8Tkiyvx3yadiv6M+ZnZb22cSlfwJG2/yrLK8OFIYkf6lzNv2SvS67cSvEcWEM+1dx0Cr+RNGCowxmQS/Z5nTE8JVjncS2KONyX6u2inexRs5El0mqRfq9wE2hqNeO9bdsWV6bPr2C2iJWrdP3ddC5pcGc5T4nWZHr0ur2pH2URdL96ej1dWrXPm+Tg+zJb5WHzNq40YWNsorYw7UZ8FcWKJmXBgTwqVZL5rI30zyJjLz7lQoZdPaUC5nGtjGPKd4SToHigifd3fR6819JPQjXqEXE9alxjUSJczGZTo/4FpazEpFSxGSWy+tSamzHlWtF5aHu2pYO86WMiErmCopd8Ot3T4clKIVORvDFHqKT/ZWxYkuzc/gwr+R8kWJhmNIDrENfu41tam23sGpiFe6zJnNiGrQJvSXYvCu7me5Rb2OXjnUXfohHMJ5DEHXkvRDWlGbys6UZcld6uH0j8kaTFQiSm9bNu+Dy0XuySqnJv0ZkoWTezNU5p2cpn0xHEJ6UuYSzof3N6ReHCrzblOzPhjqcg/KHJrwMOcZwp65bd2cl8upXl+rXEJ58Dpgdl4MDncAq2MW2y7EQk2cJ/LuOaB1OKyhblaL/7Ufho/l1JxXKLec3jl7EfDUuV2iM7PoFzefM5ZbyGiu5hjOMyt6Z70mPz/2/6JGTypzevPu6aNfaseA4bVQnA+VpWO8O4qsvKFUcH/AJ0Om/qP+fkZ+K+FVQaNKjiaUzH5FNTXTQqZm3rz09c58FyKTpVMlU5majSfadDJ2U22rG/C7WXiATU+J8juV/IlY/3u0fag9JOthsumcQTiguoSyIHY3rU/39hxtlcR4ppfP+HagBvfEd6gWz/vepfZ45rdT6lv1myQ81++oTPVLkcnyLp+dVzH0oLwDx7kg875vRGfqOZvFJ9COAvYY+RwVR0rm7ecFIfoUFy5LuiCEGS11lGMv5ZjOJCUVtONS33o0wsd6px/3HfB8frfILkXqV1TX1asDrtSSVLseqR5TZiAm/a9DhPZrdQk+L+myX9LdFUlzegZliV4739WfBDvxjgv7NuMFyoOZTN1ct8soqre7h/WZ2FYlFz7xXo8f1OAHjpRtelovKe6eqPrc4ayG5kzL5O7njpTJe7IeMJrtFuOjPn6e1/CaB/T/diX6tiPpTZAlpmx7RPt5E6KXat1skfR8rrI+b3urRlrz1ibTtCcr7TgwZyTr9wRSPe6qZz+fg5RyNUkFHXeu84lM6bTI0EtJnp/jgNMQ3YDeyn0N6alEZSZKMgt4E3keIMs8gM6hIM2hSGEgSqLtA/33j0/pJ+LCJ1d14dMrxX//2N+4fOU3lz++v7H2+XX9f0DeVz9VP1MXYe37RH0O439X7QGnY/VH9Rf119as9YfWn1p/5qbvndGYn6jST+tv/wWXYUdq</latexit> Relative entropy: <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">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</latexit> W" p (↵, )p def. =
  7. Static Schrödinger Problem Schr¨ odinger’s problem: [1931] Erwin Schrödinger ↵

    <latexit sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">AABFlnictVxfc9u4EYev/67uv1z70mlfeHXSSVo3tX1przc310liK47PTuJEspO7KPGIEq0woURFlBwnir5V3/s5+gE60z71K3R3ARCgBHJBNzXHFgjht7tYAovdBehwlMTZZGPjHysffee73/v+Dz7+4eqPfvyTn/7s0ic/P87S6bgbHXXTJB0/CTtZlMTD6GgST5LoyWgcdQZhEj0OX23j94/PonEWp8PW5O0oejbo9IfxadztTKDq5NLfLreng3g4a2fdcTyaZPG7KGiP4u2TzeCrdifZXpd3W3AXRtvz1aAdDycns/aT8+db86B3ddYmGWbjqDc/n6/r2zCZRvO382vPR0G7RyS4lsHq74N2NMriJB0G7f2Dqwh6jyIE7XQSD6IsQAmg3eXVk0trG9c36CdYLmyqwppQP4fpJ5/+U7RFT6SiK6ZiICIxFBMoJ6IjMrieik2xIUZQ90zMoG4MpZi+j8RcrAJ2Cq0iaNGB2lfwtw93T1XtEO6RZkboLnBJ4HcMyEBcAUwK7cZQRm4BfT8lylhbRntGNFG2t/AZKloDqJ2IF1DL4XRLXxz2ZSJOxV+oDzH0aUQ12LuuojIlraDkgdWrCVAYQR2We/D9GMpdQmo9B4TJqO+o2w59/y9qibV431Vtp+LfJOUVuALRVL1PcwodcUb0A3qaU/hOypMA5z5QiFQfsfSGdD2g3g+h/Qzq78M1p5LWSQjXjGrnlchtuFzIbRa5C5cLucsiD+ByIQ9Y5CFcLuShQiJ2TDp345twufBNlvNDuFzIhyzyEVwu5CMWeQyXC3nMIr+Fy4X8lkXegcuFvMMi9+FyIfdZZAsuF7LFIo/gciGPWGQDLheyoZDlM3UMV0p0YmZW3oJykQdaigRqbrHy3Sbr6MLe9pjT3RIsP6t34NON3fHQaVSCbXiMu9MSLD/ydsFGurG8LbpLq4kLe5fF7sEIcGP3WOzX4mUJ9muPmfaqBMvPtQNo58by1vce3Lmx91jsfSi5sfwa9QBq3NgHHivGqAR7yGIfitclWB+rPy7B8na/CXbFjeXXqRa0d2N9rOm0BMvb02PwYNxYfrV6DLVu7GMW+0Scl2CfsNhvwLq7sd94rLDvSrB6jV2lFaRP/kgEM7aKWieflVgaAbUOwz/J15aEfOMQ6jlMP8f0CTNgEbs5YtcTcZAjDrzlynI7mpG/y3Np5oimJyLM1yYsTdj2vbw9lhIPxE6O2FlAVHmk+Kx1X87Iu9A1HHKSr1xY8ulTmttvLEVqPFRbXo14UEDIsf2CRv46RUsYQaGmqqi9yNd4iQzovgrxhqI33UvNg8dNcqtgo85ZVOhAhSzqrQP1lkVNHagpizpzoM5YlJn5Nq7tMQKM/vFZzOhOjgDpI5dfAXgFt2DVuQtzNIDxcwhe4COqeQCfTYq9uatKMozmcZ3ELMezgiUeQ2km1qDeRIU7FF8nNMMikEy2fKBifLzD3MZMzTlphef5Sh7kGRN/OjHJ08/poLcY0HyqR2efaubk3clSPfzdfN7rUj18gzQ+Jy9elurhJ0r6yQVkbyls6wLYJsymkdK+KdelIfMvkoYur9KqixYXn+pAjRmkd16T/p56MnsXeC7bVJL6MeV6NDKrf1mhf3VoGD1nlp7rUUHvSXq9uhTU7slQxb2mXFeGlFbRoZLD3NV9Mtimp56MLtejcQge1zbF3DOrXHf0jvLemHI9GsdC5j3n5Mnrcj0afbqX+jDlejQw29JRcb4p17XsqAEZO5tyXas+pCww5oDkmJc1xisak580VdRi8g+qszW2z7+8jmHO5nkeI1RTMr5tOZ0wX8uqJdL+QgRWbVJTDvQvppYPVqQxE1tsfCVlmBTW92U6Zo1HzR+AFgOY/XIPgMuZJyChzkmg9U6A4iYbdRV7pnFbLA5HyekCqq1qJ6y3aPjKrFGx7oRqubjM9NbosU32OqOxNyKf8IA0y+nhoPQJl1HkNHRQ0BBPr47u3qn5WtT+BosbLSBG+Ujr0o6Q3EmrjlNdWm9aOr6idnkmcMk9HzN+Mdt8qqwNxjwp2SKUpYqn3U7nkew6XFfXhclxy+8CeqJor87IasS0I5WxUajOFktvfEb3hvYR7ckhD0mjC88xUFRGQu6aYRYd8+kBWVTb3nK8UV86QyfLGVldbY+r0X0L3Xeg68c427Bi3IdSC2KGI7hreUQ5q7muUtL4WPwh3x1N6QlWR/RJwUJqGtLeRAULWRVlvyhQeQNoHA0ySvensUhH49tLlPio3yWPiV2Llv8K7dzq/e0OjfHy0VyeiekR1y3iGtCskbu68m6Rg5Rg5vxmi/zX6l4ivzoc0YZyXJ9bnKVehrTjH1EEOyLPOKHZxs2OYms7P7X4jeZ0KPTeOe5mp2QhA7J/AaxPKY3JgH7tswN6B11ahIRspI/diXPvxuXrxOwYM35cLOSpBjPeIrJlU+Kv6dqzK6OxKCMGuQ7MF8a21skB+YIRcR0r627mdvXqg0hzTsIeJZKiGStXif81+qt/9ThZWxoRqGF8Apmyda7nkVLMgjrq0CpfbYN0W1vKy7kMz5XUZv0zMl0uSLZDERfKg6t1Dzh36V7ywlEyJrmzpTZyHa3K5iLl0YIesbenFMVLu99XKzDKvU6r5BrNuTaNkj6MgkkeRei2XBZ5kW81ryJ1P9rZ/4W60XVRa0gxECaDKzXE5fcjitZsKRMY1XL8vqLZ5Nb6eKFVNZ8hjcWBNZffQ+2n8FfLre/96IQFq3CbxoCkYO6MRmRNsNTCj9ftAi89MjUtc2/4mTGpW9k1F4mvpXUzMfZZbSqHNGrOVdZCly9C46VF46WnDlu012i0qOu1JTphY4uW2q305VeHW6sG5SlLmffINCr2kNKOpfyo9liqfIyvUe9YWhssrQ7MVns3wJ7zPkj3XF+c3e/z1T0Qd8i36ZIHJuOXHs3SmHwuXVsdqUkKyPmGsq/27G9TDXIPyYIiZXmOE2eM3HXq0jXPJf2tWtlSsvPGIuhzS29UG21j21T+bAk5oDmR0bzUiBvUIlLy23IECxbpuuVzBJT575BPJf2O6pjZbm2eSVDwJ0y8KWeV4SUjhSHpn8u87S1Fr3tW/BpQTDhV3nUItOo/YaQgMTqT4PYsM3pCuMrJnQTp0YZkP5ftlNzFG1oSXSepZ+IrDxsjo14z1u2xpXus+/Y7aIlaN0/d1YLnl3hz5PhdZEevQ6vaQPmos4X7i9HqqFWueF+lh+kCX6OPKbWxIwsT5RUxbfGlNxcpUT0uEuPDpV4v6shfT/I6MsvdKV/KurWmXMw0SBvzguIl7hwoIlze3VWnN3eN6Ue4RC8krE1N1nCUMBuXqvyAbWkxKxUsREh2PbcmJdZ6VLZeGB72qmHsuLSUEVnBRHC5G9na7kO7EK3w2RhJoSvkyd6yONGm+SVc+DcQrihRc/TJITbBz70ltkXjA5yKeK3KMrMZUA3ahN5CDN5R/Sy2qNbRa4u6Td+Hgz+PGHTNSR/TilpXdkmZl9ym7k//DVmDsYhY6U3L+n2wufA9WeZUpz8xWTi+N7HQ7+TU7Yvm4NOTIhd/PnJ/g+vFqdDvNtXrg6bO96DIoQ4PfZ7B75mb1vV52Zyq9bXMxZeHXAf0zovG4Q5gecxi2vlYqLH1RD48B7QOpxXU9Wrxv/ZD8zGc6vPy5ZbRO2cvPZ66bBepzCz6xfXnjOHmM5rLOfrzTPPeGa/JzU/6f0GtJ5Vavfnw9NEvNWNA85oJmQ/lpZN4exQZeX2p4P6AS4ZU/Ef8fYV/K+F1TqNMjjqU9H5FOTXdgqem37x09U5/5yOToVMmU5GaiSeadDJ2W+yJO/C7nXuAdU+Jyncq5Sdi3e/R9qD2lKyHzqbLDEKb6iLKgpjdtB7dm3O0ZRLjmV55xrcFNbgnfkC1eN73PrXHM7+tQt/K3ySRc/2eSEWvEJks7vKZeRVCD4o7cDIXpN/3DehMvcxmyRNoA489RnmOSkZK+u3nGSF6FBcuSjojhB4tVZRDJ+WQziRFJbTDQt+6NMJHaqcf9x3wfH4nzy4F4o9U11GrA67UnFSHDqmeUmYgJP1vQIT2J7EOn+uq7Jb0cEnSjJ5BUaJz67vqk2Bz57gwbzNeoTyYztSdqXYpRfVm97A6E7tTykWeeK/G9yvwfUvKJj2tVxR3j0V17nBaQXOqZLL3c4dC5z2lHjCa7eTjozp+PqvgdebR//1S9L4l6S7IElK2PaD9vDHRS5RuGiS9PFdZnbe9WyGtfmtT0jQnK8040Gckq/cEEjXuyme/PAfJ5WqiEjr2XJcnMrnTIrGTEj8/Rx6nIToeveX76tNTjsqUlWTq8SbymYcsZx50ThlpTlkKfVYSZR/ov398QT+BLHx+QxW+2Mz/+8fx1vXNP1//7OHW2s3b6v+AfCx+LX4jrsLa97m4CeP/UByJ7sqvVm6u7K183fhl46+NRmNXNv1oRWF+IQo/jcP/AuYofoY=</latexit> min ⇡1=↵,⇡2= R X2 d(x, y)pd⇡(x, y) + " KL(⇡|↵ ⌦ ) <latexit sha1_base64="1zohFdB3aQQ05l3cPqYNxZB6ULI=">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</latexit> KL(⇡|↵ ⌦ ) def. = R X2 log ⇣ d⇡(x,y) d↵(x)d (y) ⌘ d⇡(x, y) <latexit sha1_base64="FvucDhHhbx+ufIwntX0LmeBDXrQ=">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</latexit> (mutual information) <latexit sha1_base64="OMzXbMItV2dR9mIKv1CwPSTdQF0=">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</latexit> Relative entropy: <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">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</latexit> W" p (↵, )p def. =
  8. Static Schrödinger Problem Schr¨ odinger’s problem: [1931] Erwin Schrödinger ↵

    " ↵ ⇡" <latexit sha1_base64="GFDRy6M/TlDbNJvkPgJDOhXXs88=">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</latexit> <latexit sha1_base64="GFDRy6M/TlDbNJvkPgJDOhXXs88=">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</latexit> <latexit sha1_base64="GFDRy6M/TlDbNJvkPgJDOhXXs88=">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</latexit> <latexit sha1_base64="GFDRy6M/TlDbNJvkPgJDOhXXs88=">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</latexit> <latexit sha1_base64="GFDRy6M/TlDbNJvkPgJDOhXXs88=">AABFBHictVxLcxu5EYY3r43z8ibHXGZXdsqbUhRJWVdStZWqtUXZ1lq2ZZOSvWvaKj5GNO0Rh+aQ9IOrayo/JpVLKpWckt+RH5Cq5JS/kH4AAwyJmcYoG09JwmDwdTd6gEZ3A+PuOBlm083Nf1x47xvf/Na3v/P+dy9+7/s/+OGPLn3w46MsnU168WEvTdLJ424ni5PhKD6cDqdJ/Hg8iTun3SR+1H25g88fzeNJNkxHrenbcfz0tDMYDU+Gvc4Uqo4vfXS5TUSeTAbdp4uNa+ub6xvXztrj4XE7HmfDJB1dPr60trmxSf+i1cKWLqwp/e8g/eDDf6q26qtU9dRMnapYjdQUyonqqAyuJ2pLbaox1D1VC6ibQGlIz2N1pi4CdgatYmjRgdqX8HsAd0907QjukWZG6B5wSeBnAshIXQFMCu0mUEZuET2fEWWsLaO9IJoo21v429W0TqF2qp5DrYQzLUNx2JepOlG/oT4MoU9jqsHe9TSVGWkFJY+cXk2BwhjqsNyH5xMo9whp9BwRJqO+o2479Pxf1BJr8b6n287Uv0nKK3BFqql7n+YUOmpO9CN6mzN4xvIkwHkAFGLdRyy9Jl2fUu9H0H4B9ffgOqOS0UkXrgXVnlUid+DyIXdE5C24fMhbInIfLh9yX0QewOVDHmgkYiekcz++CZcP3xQ5P4DLh3wgIh/C5UM+FJFHcPmQRyLyS7h8yC9F5E24fMibIvIOXD7kHRHZgsuHbInIQ7h8yEMRuQuXD7mrkeUzdQJXSnSGwqy8DuUiD7QUCdRcF+W7QdbRh70RMKd7JVh5Vjfgrx/bCNBpXILdDRh3JyVYeeTdAhvpx8q26DatJj7sbRG7ByPAj90TsZ+rFyXYzwNm2ssSrDzX9qGdHytb37tw58feFbH3oOTHymvUfajxY+8HrBjjEuyBiH2gXpVgQ6z+pAQr2/0m2BU/Vl6nWtDejw2xprMSrGxPj8CD8WPl1eoR1Pqxj0TsY/WmBPtYxH4B1t2P/SJghX1XgjVr7EVaQQbkj8QwY6uodfJZiaUxUOsI/JN8bUnIN+5CvYQZ5JgBYU5FxK0ccSsQsZ8j9oPlynI7mpG/K3Np5ohmIKKbr01Ymort+3l7LCUBiEaOaCwhqjxSfNemL3PyLkyNhJzmKxeWQvqU5vYbS7EeD9WW1yDuFxA8tp/TyF+naAkjKNRUFbXn+RrPyIjuqxCvKXozvTQ8ZNw0twou6o2I6npQXRH11oN6K6JmHtRMRM09qLmIsjPfxbUDRoDVP76LBd3xCGAfufyKwCu4DqvObZijEYyfA/ACH1LNffjbpNhbuqokw2ge10nMcjwtWOIJlBZqDeptVNig+DqhGRaDZNzyvo7x8Q5zGws959gKn+UreZRnTMLpDEmeQU4HvcWI5lM9Oneo5oy8Oy7Vw9/O570p1cPvksbPyIvnUj38VEs/PYfsLY1tnQPbhNk01tq35bo0OP/CNEz5Iq26aHHxrZ7qMYP03tSkv6ffzN453ssOlVg/tlyPRub0Lyv0rw4Nq+fM0XM9Kug9sddrSlHtnox03GvLdWVIaRUdaTnsXd03g236+s2Ycj0aB+Bx7VDMvXDKdUfvOO+NLdejcaQ473lGnrwp16MxoHvWhy3Xo4HZlo6O8225rmVHDXDsbMt1rfqIssCYA+IxzzXWK5qQnzTT1IbkH1Rna1yff3Udw5zNszxGqKZkfdtyOt18LauWyPgLMVi1aU050L+YOT5YkcZCbYvxFcswLazvq3TsGo+a3wctRjD7eQ9AypknIKHJSaD1ToDilhh1FXtmcNsiDkfJyRKqrWunordo+XLWqFh3TLVSXGZ7a/XYJnud0dgbk0+4T5qV9LBf+obLKEoa2i9oSKZXR3fv9Hwtan9TxI2XEON8pPVoR4h30qrjVJ/Wm46Or+hdnilcvOdjxy9mm0+0tcGYJyVbhLJU8XTbmTySW4fr6rqyOW5+FtEbRXs1J6sxpB2pTIxCTbaYvfEF3Vvah7QnhzyYRg/eY6SpjBXvmmEWHfPpEVlU195KvFFfJkPH5YysrrHH1eiBgx540PVjnB1YMe5BqQUxwyHctQKinIu5rlLS+ET9It8dTekNVkf0ScFCGhpsb+KChayKsp8XqLwGNI4GjtLDaSzTMfj2CiU56vfJY2PXouW/Qju3Zn+7Q2O8fDSXZ2L6xHWbuEY0a3hXl++WObAEC++TbfJfq3uJ/OpwRBsqcX3mcGa9jGjHP6YIdkyecUKzTZodxdZufmr5ieF0oMzeOe5mp2QhI7J/EaxPKY3JiH7cswNmB50tQkI2MsTuDHPvxufrDMUxZv24oeJTDXa8xWTLZsTf0HVnV0ZjkSMGXgfOlsa20ck++YIxcZ1o627ndvXqg0h7TsIdJUzRjpWrxP9j+m1+zDhZWxkRqGF8A5m2db73kVLMgjrq0CpfbYNMW1fKy7kMz7TUdv2zMl0uSNagiAvlwdW6D5x7dM+8cJRMSO5spQ2vo1XZXKQ8XtIj9vaEoni2+wO9AqPc67RKrtGca9MoGcAomOZRhGkrZZGX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCo5vH7kmaTX+uTpVbVfEY0Fk+dufwV1H4Iv43c5j6MTrdgFW7QGGAK9s5qhGuilRZhvG4UeJmRaWjZe8vPjknTyq05T3zN1s3G2PPaVA5o1LzRWQtTPg+NFw6NF4E6bNFeo9WiqTeW6FiMLVp6tzKUXx1urRqUZyJl2SMzqGGAlG4sFUa1L1KVY3yDeifS2hRpdWC2ursB7pwPQfrn+vLs/ipf3SN1k3ybHnlgHL/0aZYOyecytdWRGlNAzp9o++rO/jbVIPcuWVCkzOc4ccbwrlOPrrNc0p/plS0lO28tgjm39Fq3MTa2TeVfrSBPaU5kNC8N4hNqEWv5XTmiJYu04fgcEWX+O+RTsd9RHTO7re07iQr+hI03eVZZXhwpjEj/UuZtbyV63XPi14hiwpn2rrtAq/4bRgqMMZkEv2eZ0RvCVY53Etij7ZL9XLVTvIs3ciTaIKkX6rcBNoajXjvW3bFlemz69nNoiVq3b93XQuaXBHOU+J1nR69Dq9qp9lEXS/fno9XRq1zxvkoPsyW+Vh8zauNGFjbKK2La6tNgLixRPS6MCeFSrxd15K8neR2ZeXcqlLJpbSgXMw1sY55TvCSdA0WEz7u76vXmPhb60V2h1yWsS41rJEqYjUt1fsC1tJiVipYiJLdeWpMSZz0qWy8sD3fVsHacLWVMVjBRUu6GW7t9aBeiFTkbwxR6ik/2lsWJLs1P4cLfkfJFiYZjSA6xCX7udbWjdr+GUxGvdJkzmxHVoE3oL8XgHd3PYotqHb1yqLv0QziE8xiCriXph7Si1pWdKcuSu9TD6b8mazBRsSi9bVm/Dy4XuSernOr0Z0gWTu7NUJlvcur2xXAI6UmRSzgf3t+QenGizLdN9fpgqMs9KHKow8OcZwh757Z1fV4up2p9rXIJ5cHrgNl5MTjcASyPWWy7EAs1cd7I188BrcNJBXWzWvyv/TB8LKf6vEK5ZfTN2YuAt87tYp2ZRb+4/pyx3EJGcznHcJ5p3jvrNfn5sf8X1XpTqdObr58++qV2DBheC8X5UFk6xrujyMobSgX3B3wypOo/6u8X5K8SXuU0yuSoQ8nsV5RTMy1kaubLS1/vzLMQmSydMpmK1Gw80aSTsTtqT92En53cA6x7SpS/qeS/iPV/R9uH2hOyHiabzhmENtXFlAWxu2l9urfnaMskxjO9fMa3BTW4J75PtXje9x61xzO/rULfyr8k4bl+V6WqX4hMlnf57LzqQg+KO3CcCzLf+0Z0pp6zWXwC7TRgj5HPUXGkZL5+XhCiT3HhsqQLQpjRUkW566XcpTNJcQntbqFvPRrhY73Tj/sOeD6/k2eXIvVLquvo1QFXakmqA49UTygz0CX9b0KEdk2tw991XfZLerAiaUbvoCjRG+dZ9UmwM++4sF8zXqE8mMnUzXW7lKJ6u3tYnYltlHLhE+/V+EEFfuBI2aS39ZLi7omqzh3OKmjOtEzufu5Imbwn6wGj2U4+Pqrj53kFr3lA/++Uou84kt4CWbqUbY9oP29C9BKtm12Sns9VVudtb1dIa77aZJr2ZKUdB+aMZPWeQKLHXfns53OQUq4mLqHjznU+kSmdFhl6KcnzcxxwGqIT0Fu5ryE9lajMRElmAV8izwNkmQfQORGkOREpDERJtH04vrS2tfx/fawWjrY3tjY3th5sr312Q/8/IO+rn6qP1FVY+36tPoPxf6AOgdPv1R/VX9RfG79r/KHxp8afuel7FzTmJ6rwr/G3/wIwNUy7</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="1zohFdB3aQQ05l3cPqYNxZB6ULI=">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</latexit> KL(⇡|↵ ⌦ ) def. = R X2 log ⇣ d⇡(x,y) d↵(x)d (y) ⌘ d⇡(x, y) <latexit sha1_base64="FvucDhHhbx+ufIwntX0LmeBDXrQ=">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</latexit> (mutual information) <latexit sha1_base64="OMzXbMItV2dR9mIKv1CwPSTdQF0=">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</latexit> Relative entropy: <latexit sha1_base64="Sq6CEtaetRw1pwC+y2D+nKwLZdI=">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</latexit> W" p (↵, )p def. =
  9. 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=">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=">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=">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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="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. =
  10. 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=">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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="2BiAg6WukSk5FeiOc/42umlVgJQ=">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</latexit> ⇡(") "!0 ! ↵ ⌦ <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="WCBtVe/tsbfn+jRo1GrcaPbVwbU=">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</latexit> W" p (↵, )p "!0 ! h↵, ik <latexit sha1_base64="jUuHeag0cMWTMzn6i/nFOuOQsGw=">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</latexit> Prop.:
  11. 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=">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</latexit> <latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> <latexit sha1_base64="xN7BnoyIemfXeNnBdI0lNbgxSLY=">AABFlnictVxfc9u4EYev/67uv1z70mlfeHXSSVo3tX1przc310liK47PTuJEspO7KPGIEq0woURFlBwnir5V3/s5+gE60z71K3R3ARCgBHJBNzXHFgjht7tYAovdBehwlMTZZGPjHysffee73/v+Dz7+4eqPfvyTn/7s0ic/P87S6bgbHXXTJB0/CTtZlMTD6GgST5LoyWgcdQZhEj0OX23j94/PonEWp8PW5O0oejbo9IfxadztTKDq5NLfLreng3g4a2fdcTyaZPG7KGiP4u2TzeCrdifZXpd3W3AXRtvz1aAdDycns/aT8+db86B3ddYmGWbjqDc/n6/r2zCZRvO382vPR0G7RyS4lsHq74N2NMriJB0G7f2Dqwh6jyIE7XQSD6IsQAmg3eXVk0trG9c36CdYLmyqwppQP4fpJ5/+U7RFT6SiK6ZiICIxFBMoJ6IjMrieik2xIUZQ90zMoG4MpZi+j8RcrAJ2Cq0iaNGB2lfwtw93T1XtEO6RZkboLnBJ4HcMyEBcAUwK7cZQRm4BfT8lylhbRntGNFG2t/AZKloDqJ2IF1DL4XRLXxz2ZSJOxV+oDzH0aUQ12LuuojIlraDkgdWrCVAYQR2We/D9GMpdQmo9B4TJqO+o2w59/y9qibV431Vtp+LfJOUVuALRVL1PcwodcUb0A3qaU/hOypMA5z5QiFQfsfSGdD2g3g+h/Qzq78M1p5LWSQjXjGrnlchtuFzIbRa5C5cLucsiD+ByIQ9Y5CFcLuShQiJ2TDp345twufBNlvNDuFzIhyzyEVwu5CMWeQyXC3nMIr+Fy4X8lkXegcuFvMMi9+FyIfdZZAsuF7LFIo/gciGPWGQDLheyoZDlM3UMV0p0YmZW3oJykQdaigRqbrHy3Sbr6MLe9pjT3RIsP6t34NON3fHQaVSCbXiMu9MSLD/ydsFGurG8LbpLq4kLe5fF7sEIcGP3WOzX4mUJ9muPmfaqBMvPtQNo58by1vce3Lmx91jsfSi5sfwa9QBq3NgHHivGqAR7yGIfitclWB+rPy7B8na/CXbFjeXXqRa0d2N9rOm0BMvb02PwYNxYfrV6DLVu7GMW+0Scl2CfsNhvwLq7sd94rLDvSrB6jV2lFaRP/kgEM7aKWieflVgaAbUOwz/J15aEfOMQ6jlMP8f0CTNgEbs5YtcTcZAjDrzlynI7mpG/y3Np5oimJyLM1yYsTdj2vbw9lhIPxE6O2FlAVHmk+Kx1X87Iu9A1HHKSr1xY8ulTmttvLEVqPFRbXo14UEDIsf2CRv46RUsYQaGmqqi9yNd4iQzovgrxhqI33UvNg8dNcqtgo85ZVOhAhSzqrQP1lkVNHagpizpzoM5YlJn5Nq7tMQKM/vFZzOhOjgDpI5dfAXgFt2DVuQtzNIDxcwhe4COqeQCfTYq9uatKMozmcZ3ELMezgiUeQ2km1qDeRIU7FF8nNMMikEy2fKBifLzD3MZMzTlphef5Sh7kGRN/OjHJ08/poLcY0HyqR2efaubk3clSPfzdfN7rUj18gzQ+Jy9elurhJ0r6yQVkbyls6wLYJsymkdK+KdelIfMvkoYur9KqixYXn+pAjRmkd16T/p56MnsXeC7bVJL6MeV6NDKrf1mhf3VoGD1nlp7rUUHvSXq9uhTU7slQxb2mXFeGlFbRoZLD3NV9Mtimp56MLtejcQge1zbF3DOrXHf0jvLemHI9GsdC5j3n5Mnrcj0afbqX+jDlejQw29JRcb4p17XsqAEZO5tyXas+pCww5oDkmJc1xisak580VdRi8g+qszW2z7+8jmHO5nkeI1RTMr5tOZ0wX8uqJdL+QgRWbVJTDvQvppYPVqQxE1tsfCVlmBTW92U6Zo1HzR+AFgOY/XIPgMuZJyChzkmg9U6A4iYbdRV7pnFbLA5HyekCqq1qJ6y3aPjKrFGx7oRqubjM9NbosU32OqOxNyKf8IA0y+nhoPQJl1HkNHRQ0BBPr47u3qn5WtT+BosbLSBG+Ujr0o6Q3EmrjlNdWm9aOr6idnkmcMk9HzN+Mdt8qqwNxjwp2SKUpYqn3U7nkew6XFfXhclxy+8CeqJor87IasS0I5WxUajOFktvfEb3hvYR7ckhD0mjC88xUFRGQu6aYRYd8+kBWVTb3nK8UV86QyfLGVldbY+r0X0L3Xeg68c427Bi3IdSC2KGI7hreUQ5q7muUtL4WPwh3x1N6QlWR/RJwUJqGtLeRAULWRVlvyhQeQNoHA0ySvensUhH49tLlPio3yWPiV2Llv8K7dzq/e0OjfHy0VyeiekR1y3iGtCskbu68m6Rg5Rg5vxmi/zX6l4ivzoc0YZyXJ9bnKVehrTjH1EEOyLPOKHZxs2OYms7P7X4jeZ0KPTeOe5mp2QhA7J/AaxPKY3JgH7tswN6B11ahIRspI/diXPvxuXrxOwYM35cLOSpBjPeIrJlU+Kv6dqzK6OxKCMGuQ7MF8a21skB+YIRcR0r627mdvXqg0hzTsIeJZKiGStXif81+qt/9ThZWxoRqGF8Apmyda7nkVLMgjrq0CpfbYN0W1vKy7kMz5XUZv0zMl0uSLZDERfKg6t1Dzh36V7ywlEyJrmzpTZyHa3K5iLl0YIesbenFMVLu99XKzDKvU6r5BrNuTaNkj6MgkkeRei2XBZ5kW81ryJ1P9rZ/4W60XVRa0gxECaDKzXE5fcjitZsKRMY1XL8vqLZ5Nb6eKFVNZ8hjcWBNZffQ+2n8FfLre/96IQFq3CbxoCkYO6MRmRNsNTCj9ftAi89MjUtc2/4mTGpW9k1F4mvpXUzMfZZbSqHNGrOVdZCly9C46VF46WnDlu012i0qOu1JTphY4uW2q305VeHW6sG5SlLmffINCr2kNKOpfyo9liqfIyvUe9YWhssrQ7MVns3wJ7zPkj3XF+c3e/z1T0Qd8i36ZIHJuOXHs3SmHwuXVsdqUkKyPmGsq/27G9TDXIPyYIiZXmOE2eM3HXq0jXPJf2tWtlSsvPGIuhzS29UG21j21T+bAk5oDmR0bzUiBvUIlLy23IECxbpuuVzBJT575BPJf2O6pjZbm2eSVDwJ0y8KWeV4SUjhSHpn8u87S1Fr3tW/BpQTDhV3nUItOo/YaQgMTqT4PYsM3pCuMrJnQTp0YZkP5ftlNzFG1oSXSepZ+IrDxsjo14z1u2xpXus+/Y7aIlaN0/d1YLnl3hz5PhdZEevQ6vaQPmos4X7i9HqqFWueF+lh+kCX6OPKbWxIwsT5RUxbfGlNxcpUT0uEuPDpV4v6shfT/I6MsvdKV/KurWmXMw0SBvzguIl7hwoIlze3VWnN3eN6Ue4RC8krE1N1nCUMBuXqvyAbWkxKxUsREh2PbcmJdZ6VLZeGB72qmHsuLSUEVnBRHC5G9na7kO7EK3w2RhJoSvkyd6yONGm+SVc+DcQrihRc/TJITbBz70ltkXjA5yKeK3KMrMZUA3ahN5CDN5R/Sy2qNbRa4u6Td+Hgz+PGHTNSR/TilpXdkmZl9ym7k//DVmDsYhY6U3L+n2wufA9WeZUpz8xWTi+N7HQ7+TU7Yvm4NOTIhd/PnJ/g+vFqdDvNtXrg6bO96DIoQ4PfZ7B75mb1vV52Zyq9bXMxZeHXAf0zovG4Q5gecxi2vlYqLH1RD48B7QOpxXU9Wrxv/ZD8zGc6vPy5ZbRO2cvPZ66bBepzCz6xfXnjOHmM5rLOfrzTPPeGa/JzU/6f0GtJ5Vavfnw9NEvNWNA85oJmQ/lpZN4exQZeX2p4P6AS4ZU/Ef8fYV/K+F1TqNMjjqU9H5FOTXdgqem37x09U5/5yOToVMmU5GaiSeadDJ2W+yJO/C7nXuAdU+Jyncq5Sdi3e/R9qD2lKyHzqbLDEKb6iLKgpjdtB7dm3O0ZRLjmV55xrcFNbgnfkC1eN73PrXHM7+tQt/K3ySRc/2eSEWvEJks7vKZeRVCD4o7cDIXpN/3DehMvcxmyRNoA489RnmOSkZK+u3nGSF6FBcuSjojhB4tVZRDJ+WQziRFJbTDQt+6NMJHaqcf9x3wfH4nzy4F4o9U11GrA67UnFSHDqmeUmYgJP1vQIT2J7EOn+uq7Jb0cEnSjJ5BUaJz67vqk2Bz57gwbzNeoTyYztSdqXYpRfVm97A6E7tTykWeeK/G9yvwfUvKJj2tVxR3j0V17nBaQXOqZLL3c4dC5z2lHjCa7eTjozp+PqvgdebR//1S9L4l6S7IElK2PaD9vDHRS5RuGiS9PFdZnbe9WyGtfmtT0jQnK8040Gckq/cEEjXuyme/PAfJ5WqiEjr2XJcnMrnTIrGTEj8/Rx6nIToeveX76tNTjsqUlWTq8SbymYcsZx50ThlpTlkKfVYSZR/ov398QT+BLHx+QxW+2Mz/+8fx1vXNP1//7OHW2s3b6v+AfCx+LX4jrsLa97m4CeP/UByJ7sqvVm6u7K183fhl46+NRmNXNv1oRWF+IQo/jcP/AuYofoY=</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="2BiAg6WukSk5FeiOc/42umlVgJQ=">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</latexit> ⇡(") "!0 ! ↵ ⌦ <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="WCBtVe/tsbfn+jRo1GrcaPbVwbU=">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</latexit> W" p (↵, )p "!0 ! h↵, ik <latexit sha1_base64="jUuHeag0cMWTMzn6i/nFOuOQsGw=">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</latexit> Prop.: Kernel norms (MMD): <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</latexit> <latexit sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</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> ||↵ ||2 k def. = h↵ , ↵ ik Arthur Gretton <latexit sha1_base64="FEFRIRSk0lzH8uIa7VdV9grWxV8=">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</latexit> ||↵ ||2 k = 1 n2 X i,i0 k(xi, xi0 ) + 1 m2 X j,j0 k(yj, yj0 ) 2 nm X i,j k(xi, yj) <latexit sha1_base64="NbGZQWrbQ0W0qTXMqOWc5K7SUQo=">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</latexit> k must be: <latexit sha1_base64="wDht3jJeopX8B4AeU9IOoUl+dQ8=">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</latexit> conditionally positive <latexit sha1_base64="c6xIhkqwIiUD74xxw2R+1gMQ9yo=">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</latexit> universal <latexit sha1_base64="Jl6GtrkxmtujdqGiyQXXoqzBREw=">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</latexit> xi ↵ <latexit sha1_base64="ETHtkFQj8hivYjKTT1vVjW9tRpM=">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</latexit> yj
  12. 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=">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> 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=">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="6lzXbTDPpUQChkRXAFYhOyQ6AzI=">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</latexit> Sinkhorn Divergences:
  13. 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=">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=">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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=">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=">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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