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

Scaling Optimal Transport to High Dimensional ...

Gabriel Peyré
September 02, 2018

Scaling Optimal Transport to High Dimensional Learning

Talk at the Workshop "From Stochastic Geometric Mechanics to Mass Transportation Problems" in Lisboa. Updated on June 2nd.

Gabriel Peyré

September 02, 2018
Tweet

More Decks by Gabriel Peyré

Other Decks in Research

Transcript

  1. Scaling Optimal Transport to High Dimensional Learning 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 works with: Francis Bach François-Xavier Vialard Jean Feydy Thibault Séjourné Lénaic Chizat Aude Genevay Marco Cuturi Alain Trouvé Shun'ichi Amari
  2. Source image (X) Style image (Y) Sliced Wasserstein projection of

    X to style image color statistics Y Source image after color transfer J. Rabin Wasserstein Regularization ! images, vision, graphics and machine learning, . . . Probability distributions and histograms <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> Probability Distributions in Data Sciences
  3. Source image (X) Style image (Y) Sliced Wasserstein projection of

    X to style image color statistics Y Source image after color transfer J. Rabin Wasserstein Regularization ! images, vision, graphics and machine learning, . . . Probability distributions and histograms <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> 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> 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=">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> Unsupervised learning <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> Probability Distributions in Data Sciences <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> ↵✓ <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>
  4. Source image (X) Style image (Y) Sliced Wasserstein projection of

    X to style image color statistics Y Source image after color transfer J. Rabin Wasserstein Regularization ! images, vision, graphics and machine learning, . . . Probability distributions and histograms <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> <latexit sha1_base64="NHBrzuHY/DIiTVSeYz9st2EbBcI=">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</latexit> min ✓ D(↵✓, ) <latexit sha1_base64="9IYkKnkiR+VYnIAjCg9CiCnhkKw=">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</latexit> <latexit sha1_base64="9IYkKnkiR+VYnIAjCg9CiCnhkKw=">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</latexit> <latexit sha1_base64="9IYkKnkiR+VYnIAjCg9CiCnhkKw=">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</latexit> <latexit sha1_base64="9IYkKnkiR+VYnIAjCg9CiCnhkKw=">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</latexit> Density fitting: <latexit sha1_base64="ulCUACOhTCX5a4s1cPqdMYjWUUA=">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</latexit> <latexit sha1_base64="ulCUACOhTCX5a4s1cPqdMYjWUUA=">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</latexit> <latexit sha1_base64="ulCUACOhTCX5a4s1cPqdMYjWUUA=">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</latexit> <latexit sha1_base64="ulCUACOhTCX5a4s1cPqdMYjWUUA=">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</latexit> 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=">AAA/qHiczVtbdxu3EUbSW6xe4rSPfei2shs7dX1kNeekbU6OYl0sK6Yt2RJ9SRirvKyojZdcencpW2aZP9PH/oT+gr62T/0H9U/oW2cGwAJLYnewbnpOhCMJC+KbGQyAuQDL3iSOsnxt7V9vvf2d737v+z9458LKD3/045+8e/G9nz7MkmnaD9v9JE7Sx71uFsbROGznUR6Hjydp2B314vBR79kWfv7oLEyzKBkf5eeT8MtRdziOTqJ+N4em44ufdPLwJeBmB920OwrzNOoHo2QQxn+cB5c6+WnQGXUnWZ4Esw4xm6XhYN7pxsfw2fzS8cXVtetr9BMsV26oyqpQPwfJe7/4QHTEQCSiL6ZiJEIxFjnUY9EVGZQvxA2xJibQ9qWYQVsKtYg+D8VcrAB2Cr1C6NGF1mfwdwhPX6jWMTwjzYzQfeASw28KyEBcBkwC/VKoI7eAPp8SZWytoj0jmijbOfzvKVojaM3FKbRyON3THzeA1hOQDTVTP+Yc+v2exhpB7wm1oBb6ituUtIcjDKzR50BhAm1YH8DnKdT7hNTzERAmIx3hHHTp839TT2zF577qOxWvaTTfFv19+/RyuUEJxJ64J7ZES7TFttgRhyRvfVkh3BaMYwI6TkHyIWgIpb0C0lyF/+uwp9bER1DbBRl71CeEsQTiAP6fk/wrStZA3BU3xZG4TbyvQP0u1K42mCeup17bGc2G/7pZYVZZSjNyXitBTuOfkgVIxcvavrh2Bmo2T2g9ZGpH1s+p1OCWeCD2a+cPOY+B/guyRCPSIHKcQfsQZMIVGgM/tIm4lv8qvharUP9a/E2t4wDkStXKPiV68smf5p+gIM33oczFBaLZBqlXilEG8CRnIClWf1ec0d4IyJJP4TO5l2Jae2PqVTe6e1DmVNOrpgdlRq3zWuQWFBdyi0XuQnEhd1lkC4oL2WKRB1BcyAOFrMPeh+LC3me5PoDiQj5gkUdQXMgjFvkQigv5kEV+DsWF/JxF3oLiQt5ikXeguJB3WGQbigvZZpE7UFzIHYWs3mto1xKiEzH76ibUyzzQT8XQcpOVb5NsrAu76bEr+xVYfl9uw383dttDp2EFdsdj9ZxUYPn1swtWzo3lrclt8pEu7G0WuwcrwI3dY7Gfia8qsJ957JdnFVh+x7TI37iwvP28C09u7F0Wew9qbizvZfahxY3d97D5kwrsAYu9L55XYH2sflqB5e3+IcViLuyhh8/IK7C812hD7ODG8vb0IcQgbizvcx5Bqxv7iMU+pqjRhX3MYp9QdOrCPvHwk68qsNpTyuh9SDFgCDu2jlq32JVYmwC1LsM/LnwL1tBHDVjMsMAMCTNiEbsFYtcT0SoQLW+5ssKOZhSx8lwOC8ShJ6JX+Cas5Wz/QdF/QLkZj9guENsLiLosAOdaj+WMogvdwiHzwnNhzWdMSWG/sRaq9VBveTViv4SQa/uUVv41ytUxkxlQ3lpN7bTw8RIZ0HMd4gXlenqUmgePywurYKNesqieA9VjUecO1DmLmjpQUxZ15kCdsSiz821cx2MFGP3jXMzoSef+3FlK+exiHzzuDng/bNmH/z5nKfVZOZ4IoKfU2bOxxSnUZpRJm8xum3JkedIQgmSy5746Y8InPJucqV0n7fC88OWB0Cee/nQikmdY0MF4MaAd1YzOHWqZU3wna83wt4udr2vN8Duk8TnF8bLWDJ8r6fM3kP1IYY/eAHsI+2mitG/qTWnIMxRJQ9c527xX2E08r3xJO0e2NeW/RTWpA1NvRiOzxpCVxtCEhtFlZumyGRWMkWRsq2tB45GMVXZr6k1lSMhXjpUc5qnpzGCfgZoZXW9G4wDiqi3KrGdWvekKnRSjMfVmNB4KebY+p3hd15vRGNKz1IepN6OBZypdlc2belPrjRqQGbKp65glpShGnzhH5L3rz1LsiHzZx+CJytMigq+nZCLPajq9ws/US7RoXZrIgd5/akVIZRozsc5mP1KGvOR7l+kY/4uab4EWA9i18lyfO5OOQUJ9YhDSKflTolaPKY9M49ZZHFqSkwVUR7XmbCxn+MoznXLbMbVyWZMZrdFjh+xsRmtvQhFbizTL6aFVOcNVFDkNtUoa4uk10d0r2sHJgvbXWNxkATEpVlqfbofkLXV9FunS+qGl48vqFiWHIu9UzPrFs+ATwqWUkSRkbVCWOp52P33KY7ehP7wmzAm0/CygGUV7dUZWI6Ibn4yNQ/RZroyUZ/RsaLfpnq18axUoKhMhb1TxjBtPuwO6z7RtLccb9aXPz2Q9I6tr7tHrb8cMeuhAN80+tsBX3IPaEUTzbXg68sg/zJ1bQvpOxW+L+8+E5q8+27Zv9joFDWltwpJ9rMuAT0tUXgAa14LMoP1pLNLR+M4SJT4jd8lj8sqy3b9Md/r6zZEurfDqtVx9SjIgruvENaA9I+/75dMiBynBzPnJOkWd9aNEfk04ogXluD61OEu9jOldmpByywnFszHtNW5vlHvbZ0eLn2hOB0K/VYF3xQnZx4CsXwDeKaE1GdCv/VaOfrdC2oOYLKSP1YmK2MYV6UTsGotol8s1It8XMustJEs2Jf6arr27MlqLMs6XXmC+sLa1TloUCYbENVW23eztet+DSPMmhL1KJEWzVq4Q/6v0V//qdbK6tCJQwzgDmbJ0rvlIKNNAHXXJx9fbIN3XlvJSIcNTJbXxfkamSyXJtilPQnnQVw+Ac5+eJS9cJSnJnS31kV607qQVKU8W9IijRe/aUVZ/qPwvyn2NfOQq7bmOMG/Y6Nhf9+VOeBf51vMqU/ejnf1fqBtdl7WGFANhTlelhriz95ByLFvKmN5Jkm/fhIrSstbThV71fMa0FkfWXv4ztP4S/mq59bMfnV7JKmzSGpAUzJPRiGwJlnr48dos8dIrU9Myz4afWZO6l93yJlmxtG4mMz5rTOWAVs1Lddag6z7jP6I7PKMB3a6tyPFCBH2k7vx8qTej7U95ylLmYyeNijyktHMeP6oDliqfi2vUK5bWGksL38azT9Tt3Wn7zlsUO/QpwpHZwYB2QUQxjW6tz4MkBeT1obJf9u7qUAvupR5ZKKRcfqsQz+76Qr5DKmX8tfIcCdlRs+P0OzsvVB9twzpU/90SckTZbEZ7RyM+pB6hkt+WI1jY8dctnx7QmXeXYhbp1+szUru3mYWg5K9NNif3guEVi/dVND6mOcjF61pue0v54Z6VIQZC3vfFRQSPs/y60Sxj3iZXhs7V3dFbRrOEniSlfF5GjT2yUcunDPIWawza1+vuOkk9E594WAeZV5qdYq8v/GyqshIc2wfQEzVvZt7Vg+cXe3Pk+L3JfVaXPMdIxYGzhec3o9VVnqT8XKeH6QJfo4+pGKucUEfvJpMqYzriY28uUqJmXCTGh0uzUTSRv5nkTWSW9za+lHVvTbmczUsbc0o5CfceJCJcEdQVZ8R0lRlHb4lej7A2NdnCUcLzrkTl4La1xZOfC0u+SLZeqPVIseWNqryFpm57DGPDpYUMyfrFgjsXkb37Qr6PWpVB2bnBx1DwbyBc+ZP2Jj6na4cQReJ79X7fiqi/yX+u6vLEL6AW3MmDhey0q8ZZ7lE/y88t6jZ9Hw7+PCLQNSd9RH6wqeySMi+5Td2f/gvaw6kIWelNz+ZjsLnwI1nm1GQ8EdklfjSR0N9jajoWzcFnJGUu/nzkuT83ihOhv0/XbAyaOj+CMocmPPT9vN+cm97Nedmc6vW1zMWXh7Th+kZC4/BmrDrbMP18LFRqzcg3zwGtw0kNde0t/tdxaD6GU3Nevtwy+q7TVx6zLvuF6swSo9nme8Zw81nN1Rz9eSbF6Eys4+Yno7ag0Uwl1mi+efoYTZo1oHnNhDwp5KWTeHsVGXl9qeDJuUuGRPzHSwaJr5LBl4o+wa+mpHvw1PQ3/Vyj0p/5yGToVMlUpob0ZKbdoT0c0mmBudkZ0HPxtuXxxdUbi986X66016//4fqN++urn26qL6S/I34ufgWB/A3xkfhU3IYAsw0i/EX8XfxD/HPjNxv3Nx5tPJFd335LYX4mSj8bvf8C/bg34w==</latexit> <latexit sha1_base64="YYkL6JTK2uYxh8MNcanIViL0GK4=">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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> Unsupervised learning <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">AABDF3ictVxLcxu5EYY3r7Xz8ianVC6TaJ3yphxHUrYqqdpK1VoPy1rLtmxSsneXtouPIU17xKFnSPnBVeV35AfkmvyEvaVyzTH/IDnlkD+QfgADDImZxiiOpyRhQHzdjQbQ6G6A7k2TcT5bX//Hhfe+8c1vffs771+89N3vff8HP7z8wY+O83Se9eOjfpqk2aNeN4+T8SQ+mo1nSfxomsXdk14SP+y92MbPH57GWT5OJ+3Zm2n8+KQ7moyH4353BlVPL/+k0xtGR5N8Po2z03EeD6Ik7maT8WT09PLa+vV1+hetFjZ0YU3pf4fpB9F/VEcNVKr6aq5OVKwmagblRHVVDs+XakOtqynUPVYLqMugNKbPY3WmLgF2Dq1iaNGF2hfwewRvX+raCbwjzZzQfeCSwE8GyEhdAUwK7TIoI7eIPp8TZaytor0gmijbG/jb07ROoHamnkGthDMtQ3HYl5kaqt9RH8bQpynVYO/6msqctIKSR06vZkBhCnVYHsDnGZT7hDR6jgiTU99Rt136/J/UEmvxva/bztW/SMor8ESqpXufFhS66pToRzSac/iM5UmA8wgoxLqPWHpFuj6h3k+g/QLq78JzRiWjkx48C6o9q0Vuw+NDbovIPXh8yD0ReQCPD3kgIg/h8SEPNRKxGencj2/B48O3RM734fEh74vIB/D4kA9E5DE8PuSxiPwCHh/yCxF5Ex4f8qaIvA2PD3lbRLbh8SHbIvIIHh/ySETuwuND7mpk9UrN4EmJzlhYlTegXOaBliKBmhuifFtkHX3YrYA13a/Ayqt6B/76sTsBOo0rsLsB825YgZVn3h7YSD9WtkW3aDfxYW+J2H2YAX7svoj9TD2vwH4WsNJeVGDltXYA7fxY2fregTc/9o6IvQslP1beo+5BjR97L2DHmFZgD0XsffWyAhti9bMKrGz3W2BX/Fh5n2pDez82xJrOK7CyPT0GD8aPlXerh1Drxz4UsY/U6wrsIxH7OVh3P/bzgB32bQXW7LGXaAcZkT8Sw4qto9YtViWWpkCtK/BPir0lId+4B/USZlRgRoQ5ERF7BWIvEHFQIA6C5coLO5qTvytzaRWIViCiV+xNWJqJ7QdFeywlAYidArGzhKjzSHGsTV9OybswNRJyVuxcWArpU1rYbyzFej7UW16DuFdC8Nx+RjP/GkVLGEGhpuqoPSv2eEZG9F6HeEXRm+ml4SHjZoVVcFGvRVTPg+qJqDce1BsRNfeg5iLq1IM6FVF25bu4TsAMsPrHsVjQG88A9pGrnwi8ghuw69yCNRrB/DkEL/AB1dyDvy2KvaWnTjKM5nGfxCzH45IlzqC0UGtQb6PCHYqvE1phMUjGLe/pGB/fMLex0GuOrfBZsZNHRcYknM6Y5BkVdNBbjGg9NaNzm2rOyLvjUjP8rWLdm1Iz/C5p/Iy8eC41w8+09LNzyN7W2PY5sC1YTVOtfVtuSoPzL0zDlC/RrosWF0f1RM8ZpPe6If19PTL75xiXbSqxfmy5GY3c6V9e6l8TGlbPuaPnZlTQe2Kv15Sixj2Z6LjXlpvKkNIuOtFy2LemI4NtBnpkTLkZjUPwuLYp5l445aazd1r0xpab0ThWnPc8I0/elJvRGNE768OWm9HAbEtXx/m23NSyowY4drblplZ9QllgzAHxnOca6xVl5CfNNbUx+Qf12RrX51/dxzBn86SIEeopWd+2mk6v2MvqJTL+QgxWbdZQDvQv5o4PVqaxUJtifMUyzEr7+yodu8ej5g9AixGsfj4DkHLmCUhochJovROguCFGXeWeGdymiMNZMlxCdXTtTPQWLV/OGpXrnlKtFJfZ3lo9dshe5zT3puQTHpBmJT0cVI5wFUVJQwclDcn0mujurV6vZe2vi7jpEmJazLQ+nQjxSVp9nOrTesvR8RV9yjODh8987PzFbPNQWxuMeVKyRShLHU+3nckjuXW4r15TNsfNn0U0omivTslqjOlEKhejUJMtZm98Qe+W9hGdySEPptGHcYw0laniUzPMomM+PSKL6tpbiTfqy2TouJyT1TX2uB49ctAjD7p5jLMNO8ZdKLUhZjiCt3ZAlHOp0FVKGs/Ur4rT0ZRGsD6iT0oW0tBgexOXLGRdlP2sROUVoHE2cJQeTmOZjsF3VijJUb9PHhu7li3/FTq5NefbXZrj1bO5OhMzIK6bxDWiVcOnuvy2zIElWHg/2ST/tb6XyK8JR7ShEtcnDmfWy4RO/GOKYKfkGSe02qTVUW7t5qeWPzGcDpU5O8fT7JQsZET2L4L9KaU5GdGPe3fAnKCzRUjIRobYnXHh3fh8nbE4x6wfN1Z8q8HOt5hs2Zz4G7ru6sppLnLEwPvA2dLcNjo5IF8wJq6Ztu52bdfvPoi09yTcWcIU7Vy5Svw/ot/mx8yTtZUZgRrGEci1rfONR0oxC+qoS7t8vQ0ybV0pPyxkeKKltvuflenDkmQ7FHGhPLhbD4Bzn96ZF86SjOTOV9rwPlqXzUXK0yU9Ym+HFMWz3R/pHRjlvka75BqtuQ7NkhHMglkRRZi2UhZ5mW89rzL1MNr5/4W61XVZa0gxUjaDyxqS8vsxRWuulAnMap6/L2g1+bWeLbWq5zOhuXjirOWvoPZn8NvIbd7D6PRKVmGL5gBTsG9WI1wTrbQI47VV4mVmpqFl3y0/OydNK7fmPPE1WzcbY582pnJIs+a1zlqY8nloPHdoPA/UYZvOGq0WTb2xRE/F2KKtTytD+TXh1m5AeS5Slj0ygxoHSOnGUmFUByJVOcY3qLcirXWRVhdWq3sa4K75EKR/rS+v7q+K3T1SN8m36ZMHxvHLgFbpmHwuU1sfqTEF5Pyxtq/u6u9QDXLvkQVFynyPE1cMnzr16TkrJP2F3tlSsvPWIph7S690G2NjO1T+zQryhNZETuvSID6mFrGW35UjWrJI1x2fI6LMf5d8KvY76mNmt7Udk6jkT9h4k1eV5cWRwoT0L2Xe9lei130nfo0oJpxr77oHtJqPMFJgjMkk+D3LnEYIdzk+SWCPtkf2c9VO8SnexJHoOkm9UL8PsDEc9dq57s4t02PTt19CS9S6HXVfC5lfEsxR4neeE70u7Won2kddLL2fj1ZX73Ll9zo9zJf4Wn3MqY0bWdgor4zpqE+CubBEzbgwJoRLs140kb+Z5E1k5tOpUMqmtaFczjSwjXlG8ZJ0DxQRPu/uqteb+0joR2+FXo+wLjWukShhNi7V+QHX0mJW6uLKPsS1F2t3o8TZiap2CkPd3S2s/WYLGZP1S5SUs+HWruydUpQiZ2GYQl/xjd6q+NCl+Qk8+DtSvujQcAzJHbbAv72httXuO7gN8VKXOaMZUQ3agsFS7N3V/Sy3qNfRS4e6Sz+EQziPMehakn5MO2lT2ZmyLLlLPZz+K7ICmYpF6W3L5n1wucg9WeXUpD9jsmxyb8bKfBenaV8Mh5CelLmE8+FzDakXQ2W+09SsD4a63IMyhyY8zD2GsDG3rZvzcjnV62uVSygP3gXMiYvB4clfdaxi24VYqMwZkXfPAa3DsIa62S3+134YPpZTc16h3HL6rtnzgFHndrHOyKI/3HzNWG4hs7maYzjPtOid9Zb8/NjvixqNVOr05t3TR3/UzgHDa6E4DypLx3h3Fll5Q6nguYBPhlT9W319Qf42wsuCRpUcTSiZc4pqaqaFTM1849LXO/NZiEyWTpVMZWo2jmjRjdhtta9uws924QE2vR3K36Xkv4j1f392ALVDsh4mi86Zgw7VxZT9sKdoA3q392erJMa7vHy3tw01eBZ+QLV4z/cutce7vu1S36q/QcJr/Y5K1aAUkSyf7tl11YMelE/eOAdkvucb0V16zmLxzbOTgLNFc39qWaIFfSLfLOhV4nuOlH2aq1N9Vo8nB3jDvlvkhyL1a6rrajuPe67E+bCS8+ES55y0U+bw2vms/m5WFZdth8ugyJ2d6nYpxdn2PK8+N7pTyYXvoNfjRzX4kSNli7T/giLhTNVn8+Y1NOdaJveEdaJMJpL1gHFmtxjv+sj2tIbXaUD/b1eibzuS7oEsPcp/R3TClhG9ROtml6Tnm471mdRbNdKa71EyTXvX0c4Dc2uxPkuf6HnHmQvzvxEsaD3gbmpuJkrZk7iCTo9uBMZEie9I1lMaCvIMRQojURI9U59eXttY/n8gVgvHm9c31q9v3N9c+3RL/x8R76ufqp+rq2Aff6s+hZE4VEfA6Q/qT+rP6i9bf9z6euuvW3/jpu9d0Jgfq9K/rb//Fz1866U=</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> <latexit sha1_base64="PQ48/yJ72Qt3QDk67p2nM8iH9/o=">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</latexit> Probability Distributions in Data Sciences <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> <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> ↵✓ <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> D <latexit sha1_base64="En29q3ecu/nX/NfwIdPFRQv7C4M=">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</latexit> <latexit sha1_base64="En29q3ecu/nX/NfwIdPFRQv7C4M=">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</latexit> <latexit sha1_base64="En29q3ecu/nX/NfwIdPFRQv7C4M=">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</latexit> <latexit sha1_base64="En29q3ecu/nX/NfwIdPFRQv7C4M=">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</latexit>
  5. 3. Sinkhorn Divergences <latexit sha1_base64="8059AEABI6dOzG7lEVlSmNBW94w=">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</latexit> <latexit sha1_base64="8059AEABI6dOzG7lEVlSmNBW94w=">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</latexit> <latexit sha1_base64="8059AEABI6dOzG7lEVlSmNBW94w=">AABB93ictVzNchu5EYY3f2vnz5scc5lE65Q3pSiSdl1J1VaqVpZkWWvZlk1K9q5puzjkiBpryKFnSFk2l0+SQ26pXPMEqVyTJ8gbJKe8QrobwABDYqYximOUJAyIr7vRAzS6G6DDcRLnk/X1f1754Fvf/s53v/fh1Wvf/8EPf/Tj6x/95DhPp1kvOuqlSZo9Dbt5lMSj6GgST5Lo6TiLusMwiZ6EZ9v4+ZPzKMvjdNSevB1Hz4fdwSg+iXvdCTS9vH6rQzSeZYPw+Wzt1ur66tqtedCZRBeT8GT26VrQikdnp2k2CnZioDOIRr0on7+8vrK+tk7/guXKhqqsCPXvMP0oOBId0Rep6ImpGIpIjMQE6onoihzKM7Eh1sUY2p6LGbRlUIvp80jMxTXATqFXBD260HoGvwfw9Ey1juAZaeaE7gGXBH4yQAbiBmBS6JdBHbkF9PmUKGNrFe0Z0UTZ3sLfUNEaQutEnEIrh9M9fXE4lok4Eb+jMcQwpjG14Oh6isqUtIKSB9aoJkBhDG1Y78PnGdR7hNR6DgiT09hRt136/F/UE1vxuaf6TsW/ScobUALRUqNPCwpdcU70A3qbU/hMypMA5wFQiNQYsfaGdD2k0Y+g/wzaH0CZU03rJIQyo9Z5LXIbigu5zSL3oLiQeyzyAIoLecAiD6G4kIcKidiMdO7Gt6C48C2W8yMoLuQjFvkYigv5mEUeQ3Ehj1nk11BcyK9Z5B0oLuQdFnkPigt5j0W2obiQbRZ5BMWFPGKRu1BcyF2FrF6pGZSU6MTMqtyCepkHWooEWrZY+W6TdXRhb3us6V4Fll/VO/DXjd3x0GlUgd31mHcnFVh+5u2BjXRjeVt0l3YTF/Yui92HGeDG7rPYL8WrCuyXHivtrALLr7UD6OfG8tb3Pjy5sfdZ7AOoubH8HvUQWtzYhx47xrgCe8hiH4nXFVgfq59VYHm73wK74sby+1Qb+ruxPtZ0WoHl7ekxeDBuLL9bPYFWN/YJi30qLiqwT1nsV2Dd3divPHbYdxVYvcdeox1kQP5IBCu2jlq3WJVYGwO1LsM/KfaWhHzjENo5zKDADAgzZBF7BWLPE3FQIA685coLO5qTv8tzaRWIliciLPYmrE3Y/v2iP9YSD8ROgdhZQNR5pPiu9VjOybvQLRxyUuxcWPMZU1rYb6xFaj7UW16NeFhCyLl9SjN/laIljKBQU3XUTos9XiIDeq5DvKHoTY9S8+Bxk8Iq2KgLFhU6UCGLeutAvWVRUwdqyqLOHahzFmVWvo3reMwAo398FzN6kjNA+sjVJQCvYAt2nbuwRgOYP4fgBT6mlofwt0WxN1fqJMNoHvdJzHI8L1niDGozsQLtJircofg6oRUWgWSy50MV4+MT5jZmas1JKzwvdvKgyJj404lJnkFBB73FgNZTMzr3qGVO3p2sNcPfLda9rjXD75LG5+TFy1oz/ERJP7mE7G2FbV8C24LVNFbaN/WmNGT+RdLQ9Wu066LFxbc6VHMG6V00pL+v3sz+Jd7LNtWkfky9GY3cGl9eGl8TGkbPuaXnZlTQe5Jer64FjUcyUnGvqTeVIaVddKTkME9N3wz26as3o+vNaByCx7VNMffMqjedveNiNKbejMaxkHnPOXnyut6MxoCepT5MvRkNzLZ0VZxv6k0tO2pAxs6m3tSqjygLjDkgOedli/GKMvKTpopaTP5BfbbG9vmX9zHM2bwoYoR6Ssa3raYTFntZvUTaX4jAqk0ayoH+xdTywco0ZmKTja+kDJPS/r5Mx+zxqPkD0GIAq1+eAXA58wQk1DkJtN4JUNxgo67yyDRuk8XhLDlZQHVU64T1Fg1fmTUqt72kVi4uM6M1euyQvc5p7o3JJzwgzXJ6OKh8w1UUOQ0dlDTE02uiu3dqvZa1v87ixguIcTHTenQiJE/S6uNUl9Zblo5vqFOeCRR55mPmL2abT5S1wZgnJVuEstTxtPvpPJLdhvvqqjA5bvlZQG8U7dU5WY2YTqRyNgrV2WLpjc/o2dA+ojM55CFp9OA9BorKWMhTM8yiYz49IItq21uON+pLZ+hkPSerq+1xPXpgoQcOdPMYZxt2jAdQa0PMcARPbY8o51qhq5Q0nolfF6ejKb3B+og+KVlITUPam6hkIeui7NMSlTeAxtkgo3R/Got0NL6zRImP+l3ymNi1bPlv0MmtPt/u0hyvns3VmZg+cd0krgGtGnmqK58WOUgJZs5PNsl/rR8l8mvCEW0ox/WFxVnqZUQn/hFFsGPyjBNabdzqKPe281OLn2hOh0KfneNpdkoWMiD7F8D+lNKcDOjHvjugT9ClRUjIRvrYnbjwbly+TszOMePHxULeajDzLSJbNiX+mq69unKaizJikPvAfGFua50ckC8YEddMWXeztut3H0SaexL2LJEUzVy5Sfw/od/6R8+TlaUZgRrGN5ArW+d6HynFLKijLu3y9TZI97Wl/LiQ4YWS2ux/RqaPS5LtUMSF8uBu3QfOPXqWvHCWZCR3vtRH7qN12VykPF7QI472hKJ4afcHagdGuVdpl1yhNdehWTKAWTApogjdl8siL/Kt51Wm7kc7/79QN7ouaw0pBsJkcKWGuPx+RNGaLWUCs1rO3zNaTW6tZwu96vmMaC4OrbX8DbT+HH5rufWzH52wZBVu0xyQFMyT0YhsCZZ6+PG6XeKlZ6amZZ4NPzMndS+75TLxtbRuJsY+b0zlkGbNhcpa6PplaLyyaLzy1GGbzhqNFnW7tkQv2diirU4rffk14dZuQHnKUuY9Mo2KPaS0Yyk/qn2WKh/ja9Q7ltY6S6sLq9U+DbDXvA/SvdYXV/c3xe4eiDvk2/TIA5PxS59WaUw+l26tj9QkBeT8mbKv9urvUAtyD8mCImV5jxNXjDx16lGZF5L+Uu1sKdl5YxH0vaU3qo+2sR2qf7qEHNKayGldasRn1CNS8ttyBAsWac3yOQLK/HfJp5J+R33MbPc27yQo+RMm3pSryvCSkcKI9M9l3vaXotd9K34NKCacKu86BFrN3zBSkBidSXB7ljm9Idzl5EmC9GhDsp/Ldkqe4o0sidZI6pn4vYeNkVGvmev23NIj1mP7FfRErZu37urB80u8OXL8LnOi16Vdbah81NnC8+VoddUuV36u08N0ga/Rx5T62JGFifLKmI743JuLlKgZF4nx4dJsFE3kbyZ5E5nl6ZQvZd1bUy5nGqSNOaV4ibsHigiXd3fT6c19wowjXKIXEtamJls4SpiNS1V+wLa0mJW6urQPydartbtRYu1EVTuFpm7vFsZ+SwsZkfVLBJezkb1t2TulKIXPwkgKPSFv9FbFhzbNz6Hg70C4okPN0Sd32AL/dktsi933cBvitarLjGZALWgL+guxd1eNs9yjXkevLeo2fR8O/jxi0DUnfUw7aVPZJWVecpu6P/03ZAUyEbHSm57Nx2Bz4UeyzKnJeGKybPxoYqG/i9N0LJqDz0jKXPz5yHMNbhQnQn+nqdkYNHV+BGUOTXjoewx+79z0bs7L5lSvr2UuvjzkLqBPXDQOT/6qYxXTz8dCZdYbef8c0Dqc1FDXu8X/Og7Nx3BqzsuXW07fNXvl8dZlv0hlZNEfbr5mDDef2VzN0Z9nWozOeEtuftLvCxq9qdQazfunj/6omQOa10zIPCgvncTbs8jI60sFzwVcMqTiP+KvV/hvI7wuaFTJ0YSSPqeopqZ78NT0Ny5do9Of+chk6FTJVKZm4ogW3YjdFvviDvxsFx5g09uh8ruU8i9i3d+f7UPrCVkPnUWXmYMOtUWU/TCnaH16NvdnqyTGu7zybm8bWvAs/IBa8Z7vA+qPd33bpbFVf4NErvX7IhX9UkSyeLpn1lUIIyifvMkckP6eb0B36WUWS948G3qcLer7U4sSzegT/mZBWIkPLSl7NFfH6qweTw7whn23yA8F4jfU1lV2HvdcjvNhJefDBc45aafM4cL6rP5uVhWXbYtLv8idnat+KcXZ5jyvPje6U8lF3kGvxw9q8ANLyhZp/4wi4UzUZ/OmNTSnSib7hHUkdCZS6gHjzG7xvusj2/MaXuce479Xib5nSboHsoSU/w7ohC0jeonSzS5JL2861mdS79ZIq75H+fL6ysbi/2WwXDneXNtYX9t4tLnyxW31/xx8KH4mfiFuwhr/rfgCqB2KI+DwB/E38Xfxj623W3/c+tPWn2XXD64ozE9F6d/WX/4LT621bA==</latexit> <latexit

    sha1_base64="8059AEABI6dOzG7lEVlSmNBW94w=">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</latexit> <latexit sha1_base64="8059AEABI6dOzG7lEVlSmNBW94w=">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</latexit> x <latexit sha1_base64="tnHRI7CIGe9HGxXgQsL6pnSh4N0=">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</latexit> <latexit sha1_base64="tnHRI7CIGe9HGxXgQsL6pnSh4N0=">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</latexit> <latexit sha1_base64="tnHRI7CIGe9HGxXgQsL6pnSh4N0=">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</latexit> <latexit sha1_base64="tnHRI7CIGe9HGxXgQsL6pnSh4N0=">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</latexit> <latexit sha1_base64="tnHRI7CIGe9HGxXgQsL6pnSh4N0=">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</latexit> d(x,y) <latexit sha1_base64="YSc1zeK3U+L60W2hN1Qlhtpv1ec=">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</latexit> <latexit sha1_base64="YSc1zeK3U+L60W2hN1Qlhtpv1ec=">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</latexit> <latexit sha1_base64="YSc1zeK3U+L60W2hN1Qlhtpv1ec=">AABB43ictVxLcxu5EYY3r7Xz8ibHXGajdcpOOY7kuCqp2krVypIsa03b8pKSvbu0XXyMaNpDDs0hZdlcnnPILZVrfkKuyTG/I/8gOeUvpB/AAENipjGKY5QkDIivu9EDNLoboLuTZJjNNjf/eeGDb337O9/93ocXL33/Bz/80Y8vf/ST4yydT3vxUS9N0umTbieLk+E4PpoNZ0n8ZDKNO6NuEj/uvtrBzx+fxtNsmI5bs7eT+OmoMxgPT4a9zgyanl/+uH910SYyi2ncX54tr5vHbjKPl2+X155f3ti8sUn/ovXKlq5sKP3vMP0oOlJt1Vep6qm5GqlYjdUM6onqqAzK12pLbaoJtD1VC2ibQm1In8dqqS4Bdg69YujRgdZX8HsAT1/r1jE8I82M0D3gksDPFJCRugKYFPpNoY7cIvp8TpSxtYz2gmiibG/hb1fTGkHrTL2AVglneobicCwzdaJ+R2MYwpgm1IKj62kqc9IKSh45o5oBhQm0Yb0Pn0+h3iOk0XNEmIzGjrrt0Of/op7Yis893Xeu/k1SXoESqaYefZpT6KhToh/R25zDZyxPApwHQCHWY8TaG9L1iEY/hv4LaH8AZUk1o5MulAW1LiuRO1B8yB0RuQ/Fh9wXkQ0oPmRDRB5C8SEPNRKxU9K5H9+E4sM3Rc6PoPiQj0TkF1B8yC9E5DEUH/JYRH4FxYf8SkTegeJD3hGR96D4kPdEZAuKD9kSkUdQfMgjEbkHxYfc08jylTqFkhKdobAqt6Fe5IGWIoGWbVG+22QdfdjbAWu6V4KVV/Uu/PVjdwN0Gpdg9wLm3UkJVp55+2Aj/VjZFt2l3cSHvStiD2AG+LEHIvZz9bIE+3nASntVgpXXWgP6+bGy9b0PT37sfRH7AGp+rLxHPYQWP/ZhwI4xKcEeithH6nUJNsTqT0uwst1vgl3xY+V9qgX9/dgQazovwcr29Bg8GD9W3q0eQ6sf+1jEPlFnJdgnIvZLsO5+7JcBO+y7EqzZYy/RDjIgfySGFVtFrZOvSqxNgFpH4J/ke0tCvnEX2iXMIMcMCDMSEfs5Yj8Q0cgRjWC5styOZuTvylyaOaIZiOjmexPWZmL/ft4fa0kAYjdH7K4gqjxSfNdmLKfkXZgWCTnLdy6shYwpze031mI9H6otr0E8LCB4br+gmX+doiWMoFBTVdRe5Hs8IyN6rkK8oejNjNLwkHGz3Cq4qDMR1fWguiLqrQf1VkTNPai5iDr1oE5FlF35Lq4dMAOs/vFdLOiJZwD7yOUlAq9gG3adu7BGI5g/h+AFfkEtD+Fvk2JvqVRJhtE87pOY5XhasMRTqC3UBrTbqHCX4uuEVlgMknHPhzrGxyfMbSz0mmMrvMx38ijPmITTGZI8g5wOeosRrad6dO5Ry5K8O67Vw9/N172p1cPvkcaX5MVzrR5+pqWfnUP2lsa2zoFtwmqaaO3bel0anH9hGqZ+iXZdtLj4Vkd6ziC9s5r0D/SbOTjHe9mhGuvH1uvRyJzxZYXx1aFh9Zw5eq5HBb0n9npNLao9krGOe229rgwp7aJjLYd9qvtmsE9fvxlTr0fjEDyuHYq5F0697uyd5KOx9Xo0jhXnPZfkyZt6PRoDemZ92Ho9Gpht6eg439brWnbUAMfOtl7Xqo8pC4w5IJ7z3GK9oin5SXNNbUj+QXW2xvX51/cxzNk8y2OEakrWty2n0833smqJjL8Qg1Wb1ZQD/Yu544MVaSzUTTG+Yhlmhf19nY7d41HzDdBiBKufzwCknHkCEpqcBFrvBChuiVFXcWQGd1PE4Sw5WUG1detM9BYtX84aFdueU6sUl9nRWj22yV5nNPcm5BM2SLOSHhqlb7iMoqShRkFDMr06unun12tR+5sibrKCmOQzrUcnQnySVh2n+rTedHR8RZ/yzKDwmY+dv5htPtHWBmOelGwRylLF0+1n8khuG+6r15XNcfNnEb1RtFenZDWGdCKViVGoyRazN76gZ0v7iM7kkAfT6MF7jDSVieJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj1w0AMPun6MswM7xgOotSBmOIKnVkCUcynXVUoan6pf5aejKb3B6og+KVhIQ4PtTVywkFVR9osClTeAxtnAUXo4jVU6Bt9eoyRH/T55bOxatPxX6OTWnG93aI6Xz+byTEyfuN4krhGtGj7V5adVDizBwvvJTfJfq0eJ/OpwRBsqcX3mcGa9jOnEP6YIdkKecUKrTVodxd5ufmr1E8PpUJmzczzNTslCRmT/ItifUpqTEf24dwfMCTpbhIRsZIjdGebejc/XGYpzzPpxQ8W3Gux8i8mWzYm/oeuurozmIkcMvA8sV+a20UmDfMGYuE61dbdru3r3QaS9J+HOEqZo58pV4n+NfpsfM0821mYEahjfQKZtne99pBSzoI46tMtX2yDT15Xyk1yGZ1pqu/9ZmT4pSLZLERfKg7t1Hzj36Jl54SyZktzZWh/eR6uyuUh5sqJHHO0JRfFs9wd6B0a5r9MuuUFrrk2zZACzYJZHEaavlEVe5VvNq0g9jHb2f6FudV3UGlKMlM3gsoak/H5M0ZorZQKzmufvK1pNfq1PV3pV8xnTXBw5a/kbaP0Yfhu5zXMYnW7BKtymOcAU7JPVCLdEaz3CeN0u8DIz09Cyz5afnZOml9tynviarZuNsU9rUzmkWXOmsxamfh4aLx0aLwN12KKzRqtF024s0XMxtmjp08pQfnW4tWpQnouUZY/MoIYBUrqxVBjVvkhVjvEN6p1Ia1Ok1YHV6p4GuGs+BOlf66ur+5t8d4/UHfJteuSBcfzSp1U6JJ/LtFZHakwBOd/S9tVd/W1qQe5dsqBIme9x4orhU6celWUu6S/0zpaSnbcWwdxbeqP7GBvbpvpv1pAjWhMZrUuDuEU9Yi2/K0e0YpFuOD5HRJn/DvlU7HdUx8xub/tOooI/YeNNXlWWF0cKY9K/lHk7WIteD5z4NaKYcK696y7Qqv+GkQJjTCbB71lm9IZwl+OTBPZou2Q/1+0Un+KNHYlukNQL9fsAG8NRr53r7twyIzZj+yX0RK3bt+7rIfNLgjlK/M5zotehXW2kfdTFyvP5aHX0Lld8rtLDfIWv1cec+riRhY3yipi2+jSYC0tUjwtjQrjUG0Ud+etJXkdmPp0KpWx6G8rFTAPbmBcUL0n3QBHh8+6uer25a8I4umv0uoR1qXGLRAmzcanOD7iWFrNSF9f2IW69WLkbJc5OVLZTGOrubmHtN1vImKxfoqScDfd2ZW8XohQ5C8MUeopv9JbFhy7NT6Hg70j5okPDMSR32AT/dlvtqL33cBvita5zRjOiFrQF/ZXYu6PHWexRraPXDnWXfgiHcB5D0LUk/ZB20rqyM2VZcpd6OP03ZAWmKhaltz3rj8HlIo9knVOd8QzJssmjGSrzXZy6YzEcQkZS5BLOh881pFGcKPOdpnpjMNTlERQ51OFh7jGEvXPbuz4vl1O1vta5hPLgXcCcuBgcnvyVxyq2X4iFmjpv5P1zQOtwUkHd7Bb/6zgMH8upPq9Qbhl91+xlwFvnfrHOyKI/XH/NWG4hs7mcYzjPNB+d9Zb8/Njvi2q9qdQZzfunj/6onQOG10JxHlSWjvHuLLLyhlLBcwGfDKn6j/rHBfnbCK9zGmVy1KFkzinKqZkeMjXzjUvf6MxnITJZOmUyFanZOKJJN2J31IG6Az87uQdY93Yof5eS/yLW//3ZPrSekPUwWXTOHLSpLabshz1F69OzvT9bJjHe5eW7vS1owbPwBrXiPd8H1B/v+rYKYyv/Bgmv9fsqVf1CRLJ6umfXVRdGUDx54xyQ+Z5vRHfpOYvFN89GAWeL5v7UqkQL+kS+WdAtxXcdKXs0Vyf6rB5PDvCGfSfPD0Xq19TW0XYe91yJ82Ep58MVzhlpp8jhzPms+m5WGZcdh0s/z52d6n4pxdn2PK86N7pbyoXvoFfjBxX4gSNlk7T/iiLhqarO5s0raM61TO4J61iZTCTrAePMTv6+qyPb0wpepwHjv1eKvudIug+ydCn/HdEJ25ToJVo3eyQ933SszqTerZBWf4/y+eWNrdX/y2C9cnzzxtbmja1HtzY+u63/n4MP1c/Uz9VVWOO/VZ8BtUN1BBz+oP6q/qb+vh1v/3H7T9t/5q4fXNCYn6rCv+2//Bc/jq8g</latexit> <latexit sha1_base64="YSc1zeK3U+L60W2hN1Qlhtpv1ec=">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</latexit> <latexit sha1_base64="YSc1zeK3U+L60W2hN1Qlhtpv1ec=">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</latexit> y <latexit sha1_base64="J9Ot6Y/jJX6Lus7LxwXmumq8JQY=">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</latexit> <latexit sha1_base64="J9Ot6Y/jJX6Lus7LxwXmumq8JQY=">AABB0XictVzdchPJFW42P7uQn2WTy9xM4iXFpgixWaqSqq1UrbGN8SLAINmwuwJKP2MhGGmERjIYrapSuc0j5DZ5jjxH3iC5yivk/HRP90g9c3ocQpftnlZ/55w+0336nNMtupNkmM02N/954YPvff8HP/zwo4uXfvTjn/z048uf/Ow4S+fTXnzUS5N0+qTbyeJkOI6PZsNZEj+ZTOPOqJvEj7uvdvDzx6fxNBum49bsbBI/HXUG4+HJsNeZQdPzyx8v2kRk0U3m8fJs+fzyxub1TfoXrVe2dGVD6X+H6SfRkWqrvkpVT83VSMVqrGZQT1RHZVC+VVtqU02g7alaQNsUakP6PFZLdQmwc+gVQ48OtL6C3wN4+la3juEZaWaE7gGXBH6mgIzUFcCk0G8KdeQW0edzooytZbQXRBNlO4O/XU1rBK0z9QJaJZzpGYrDsczUifoDjWEIY5pQC46up6nMSSsoeeSMagYUJtCG9T58PoV6j5BGzxFhMho76rZDn/+LemIrPvd037n6N0l5BUqkmnr0aU6ho06JfkRvcw6fsTwJcB4AhViPEWtvSNcjGv0Y+i+g/T6UJdWMTrpQFtS6rETuQPEhd0TkPhQfcl9ENqD4kA0ReQjFhzzUSMROSed+fBOKD98UOT+E4kM+FJGPoPiQj0TkMRQf8lhEfgPFh/xGRN6G4kPeFpF3ofiQd0VkC4oP2RKRR1B8yCMRuQfFh9zTyPKVOoWSEp2hsCq3oV7kgZYigZZtUb5bZB192FsBa7pXgpVX9S789WN3A3Qal2D3AubdSQlWnnn7YCP9WNkW3aHdxIe9I2IPYAb4sQci9iv1sgT7VcBKe1WClddaA/r5sbL1vQdPfuw9EXsfan6svEc9gBY/9kHAjjEpwR6K2IfqdQk2xOpPS7Cy3W+CXfFj5X2qBf392BBrOi/Byvb0GDwYP1berR5Dqx/7WMQ+UW9LsE9E7Ndg3f3YrwN22HclWLPHXqIdZED+SAwrtopaJ1+VWJsAtY7AP8n3loR84y60S5hBjhkQZiQi9nPEfiCikSMawXJluR3NyN+VuTRzRDMQ0c33JqzNxP79vD/WkgDEbo7YXUFUeaT4rs1YTsm7MC0ScpbvXFgLGVOa22+sxXo+VFteg3hQQPDcfkEz/xpFSxhBoaaqqL3I93hGRvRchXhD0ZsZpeEh42a5VXBRb0VU14PqiqgzD+pMRM09qLmIOvWgTkWUXfkurh0wA6z+8V0s6IlnAPvI5SUCr2Abdp07sEYjmD+H4AU+opYH8LdJsbdUqiTDaB73ScxyPC1Y4inUFmoD2m1UuEvxdUIrLAbJuOcDHePjE+Y2FnrNsRVe5jt5lGdMwukMSZ5BTge9xYjWUz06d6llSd4d1+rh7+Tr3tTq4fdI40vy4rlWDz/T0s/OIXtLY1vnwDZhNU209m29Lg3OvzANU79Euy5aXHyrIz1nkN7bmvQP9Js5OMd72aEa68fW69HInPFlhfHVoWH1nDl6rkcFvSf2ek0tqj2SsY57bb2uDCntomMth32q+2awT1+/GVOvR+MQPK4dirkXTr3u7J3ko7H1ejSOFec9l+TJm3o9GgN6Zn3Yej0amG3p6Djf1utadtQAx862XteqjykLjDkgnvPcYr2iKflJc01tSP5BdbbG9fnX9zHM2TzLY4RqSta3LafTzfeyaomMvxCDVZvVlAP9i7njgxVpLNQNMb5iGWaF/X2djt3jUfMN0GIEq5/PAKSceQISmpwEWu8EKG6JUVdxZAZ3Q8ThLDlZQbV160z0Fi1fzhoV255TqxSX2dFaPbbJXmc09ybkEzZIs5IeGqVvuIyipKFGQUMyvTq6e6fXa1H7myJusoKY5DOtRydCfJJWHaf6tN50dHxFn/LMoPCZj52/mG0+0dYGY56UbBHKUsXT7WfySG4b7qvXlM1x82cRvVG0V6dkNYZ0IpWJUajJFrM3vqBnS/uIzuSQB9PowXuMNJWJ4lMzzKJjPj0ii+raW4k36stk6LiekdU19rgaPXDQAw+6foyzAzvGfai1IGY4gqdWQJRzKddVShqfqt/mp6MpvcHqiD4pWEhDg+1NXLCQVVH2iwKVN4DG2cBRejiNVToG316jJEf9Pnls7Fq0/Ffo5Nacb3dojpfP5vJMTJ+43iCuEa0aPtXlp1UOLMHC+8kN8l+rR4n86nBEGypxfeZwZr2M6cQ/pgh2Qp5xQqtNWh3F3m5+avUTw+lQmbNzPM1OyUJGZP8i2J9SmpMR/bh3B8wJOluEhGxkiN0Z5t6Nz9cZinPM+nFDxbca7HyLyZbNib+h666ujOYiRwy8DyxX5rbRSYN8wZi4TrV1t2u7evdBpL0n4c4SpmjnylXi/xn9Nj9mnmyszQjUML6BTNs63/tIKWZBHXVol6+2QaavK+WnuQzPtNR2/7MyfVqQbJciLpQHd+s+cO7RM/PCWTIlubO1PryPVmVzkfJkRY842hOK4tnuD/QOjHJfo11yg9Zcm2bJAGbBLI8iTF8pi7zKt5pXkXoY7ez/Qt3quqg1pBgpm8FlDUn5/ZiiNVfKBGY1z99XtJr8Wp+u9KrmM6a5OHLW8nfQ+kv4beQ2z2F0ugWrcIvmAFOwT1Yj3BKt9QjjdavAy8xMQ8s+W352Tppebst54mu2bjbGPq1N5ZBmzVudtTD189B46dB4GajDFp01Wi2admOJnouxRUufVobyq8OtVYPyXKQse2QGNQyQ0o2lwqj2RapyjG9Q70RamyKtDqxW9zTAXfMhSP9aX13d3+W7e6Ruk2/TIw+M45c+rdIh+VymtTpSYwrI+aa2r+7qb1MLcu+SBUXKfI8TVwyfOvWoLHNJf613tpTsvLUI5t7SG93H2Ng21T9fQ45oTWS0Lg3iJvWItfyuHNGKRbru+BwRZf475FOx31EdM7u97TuJCv6EjTd5VVleHCmMSf9S5u1gLXo9cOLXiGLCufauu0Cr/htGCowxmQS/Z5nRG8Jdjk8S2KPtkv1ct1N8ijd2JLpOUi/UHwNsDEe9dq67c8uM2IztN9ATtW7fuq+HzC8J5ijxO8+JXod2tZH2URcrz+ej1dG7XPG5Sg/zFb5WH3Pq40YWNsorYtrqi2AuLFE9LowJ4VJvFHXkryd5HZn5dCqUsultKBczDWxjXlC8JN0DRYTPu7vq9eY+E8bRXaPXJaxLjVskSpiNS3V+wLW0mJW6uLYPcevFyt0ocXaisp3CUHd3C2u/2ULGZP0SJeVsuLcre7sQpchZGKbQU3yjtyw+dGl+AQV/R8oXHRqOIbnDJvi322pH7b2H2xCvdZ0zmhG1oC3or8TeHT3OYo9qHb12qLv0QziE8xiCriXph7ST1pWdKcuSu9TD6b8hKzBVsSi97Vl/DC4XeSTrnOqMZ0iWTR7NUJnv4tQdi+EQMpIil3A+fK4hjeJEme801RuDoS6PoMihDg9zjyHsndve9Xm5nKr1tc4llAfvAubExeDw5K88VrH9QizU1Hkj758DWoeTCupmt/hfx2H4WE71eYVyy+i7Zi8D3jr3i3VGFv3h+mvGcguZzeUcw3mm+eist+Tnx35fVOtNpc5o3j999EftHDC8ForzoLJ0jHdnkZU3lAqeC/hkSNV/1D8uyN9GeJ3TKJOjDiVzTlFOzfSQqZlvXPpGZz4LkcnSKZOpSM3GEU26EbujDtRt+NnJPcC6t0P5u5T8F7H+78/2ofWErIfJonPmoE1tMWU/7Clan57t/dkyifEuL9/tbUELnoU3qBXv+d6n/njXt1UYW/k3SHit31Op6hciktXTPbuuujCC4skb54DM93wjukvPWSy+eTYKOFs096dWJVrQJ/LNgm4pvutI2aO5OtFn9XhygDfsO3l+KFK/o7aOtvO450qcD0s5H65wzkg7RQ5vnc+q72aVcdlxuPTz3Nmp7pdSnG3P86pzo7ulXPgOejV+UIEfOFI2SfuvKBKequps3ryC5lzL5J6wjpXJRLIeMM7s5O+7OrI9reB1GjD+u6Xou46k+yBLl/LfEZ2wTYleonWzR9LzTcfqTOqdCmn19yifX97YWv2/DNYrxzeub21e33p4c+PLW/r/OfhI/UL9Sl2FNf579SVQO1RHCv+/g7+qv6m/bze3z7b/tP1n7vrBBY35uSr82/7LfwEWkqdt</latexit> <latexit sha1_base64="J9Ot6Y/jJX6Lus7LxwXmumq8JQY=">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</latexit> <latexit sha1_base64="J9Ot6Y/jJX6Lus7LxwXmumq8JQY=">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</latexit> <latexit sha1_base64="J9Ot6Y/jJX6Lus7LxwXmumq8JQY=">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</latexit> X <latexit sha1_base64="kHl0Wr0M+6y5KvFoG5uf7NUP/Ms=">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</latexit> <latexit sha1_base64="kHl0Wr0M+6y5KvFoG5uf7NUP/Ms=">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</latexit> <latexit sha1_base64="kHl0Wr0M+6y5KvFoG5uf7NUP/Ms=">AABBw3ictVxtcxPJER4ubwd54y4f82UTHykuRYjNUZVUXaXqjG2MDwECyYa7E1B6WQvhlVZoJWPQ+Sfka/Jz8jvyD5JP+Qvpl5mdWWl2e9YhTNmeHc3T3dM709PdM6I3TUbZfHPzn5c++sEPf/Tjn3x8+cpPf/bzX/zy6iefHmXpYtaPD/tpks6e9bpZnIwm8eF8NE/iZ9NZ3B33kvhp72QHP396Gs+yUTppz99N4+fj7nAyOh71u3NoanWenb28urF5c5P+ReuVLV3ZUPpfM/0kOlQdNVCp6quFGqtYTdQc6onqqgzKd2pLbaoptD1XS2ibQW1En8fqXF0B7AJ6xdCjC60n8HsIT9/p1gk8I82M0H3gksDPDJCRugaYFPrNoI7cIvp8QZSxtYz2kmiibO/gb0/TGkPrXL2CVglneobicCxzdaz+TGMYwZim1IKj62sqC9IKSh45o5oDhSm0YX0An8+g3iek0XNEmIzGjrrt0uf/op7Yis993Xeh/k1SXoMSqZYefZpT6KpToh/R21zAZyxPApyHQCHWY8TaW9L1mEY/gf5LaH8I5ZxqRic9KEtqPa9E7kDxIXdE5D4UH3JfRDag+JANEdmE4kM2NRKxM9K5H9+C4sO3RM6PofiQj0XkEyg+5BMReQTFhzwSkd9C8SG/FZF3ofiQd0XkfSg+5H0R2YbiQ7ZF5CEUH/JQRO5B8SH3NLJ8pc6gpERnJKzKbagXeaClSKBlW5TvDllHH/ZOwJrul2DlVb0Lf/3Y3QCdxiXYvYB5d1yClWfePthIP1a2RfdoN/Fh74nYA5gBfuyBiP1avS7Bfh2w0k5KsPJaa0A/P1a2vg/gyY99IGIfQs2PlfeoR9Dixz4K2DGmJdimiH2s3pRgQ6z+rAQr2/0W2BU/Vt6n2tDfjw2xposSrGxPj8CD8WPl3eoptPqxT0XsM3VWgn0mYr8B6+7HfhOww74vwZo99grtIEPyR2JYsVXUuvmqxNoUqHUF/km+tyTkG/egXcIMc8yQMGMRsZ8j9gMRjRzRCJYry+1oRv6uzKWVI1qBiF6+N2FtLvYf5P2xlgQgdnPE7gqiyiPFd23GckrehWmRkPN858JayJjS3H5jLdbzodryGsSjAoLn9iua+TcoWsIICjVVRe1VvsczMqLnKsRbit7MKA0PGTfPrYKLOhNRPQ+qJ6LeeVDvRNTCg1qIqFMP6lRE2ZXv4joBM8DqH9/Fkp54BrCPXF4i8Aq2Yde5B2s0gvnTBC/wCbU8gr8tir2lUiUZRvO4T2KW43nBEs+gtlQb0G6jwl2KrxNaYTFIxj0f6RgfnzC3sdRrjq3web6TR3nGJJzOiOQZ5nTQW4xoPdWjc59azsm741o9/L183ZtaPfweafycvHiu1cPPtfTzC8je1tj2BbAtWE1TrX1br0uD8y9Mw9Sv0K6LFhff6ljPGaR3VpP+gX4zBxd4LztUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtFxr63XlSGlXXSi5bBPdd8M9hnoN2Pq9Wg0wePaoZh76dTrzt5pPhpbr0fjSHHe85w8eVOvR2NIz6wPW69HA7MtXR3n23pdy44a4NjZ1uta9QllgTEHxHOeW6xXNCM/aaGpjcg/qM7WuD7/+j6GOZsXeYxQTcn6tuV0evleVi2R8RdisGrzmnKgf7FwfLAijaW6JcZXLMO8sL+v07F7PGq+AVqMYPXzGYCUM09AQpOTQOudAMUtMeoqjszgbok4nCXHK6iObp2L3qLly1mjYttLapXiMjtaq8cO2euM5t6UfMIGaVbSQ6P0DZdRlDTUKGhIpldHd+/1ei1qf1PETVcQ03ym9elEiE/SquNUn9Zbjo6v6VOeORQ+87HzF7PNx9raYMyTki1CWap4uv1MHsltw331hrI5bv4sojeK9uqUrMaITqQyMQo12WL2xpf0bGkf0pkc8mAafXiPkaYyVXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5Xo4cOeuhB149xdmDHeAi1NsQMh/DUDohyruS6SknjM/WH/HQ0pTdYHdEnBQtpaLC9iQsWsirKflWg8hbQOBs4Sg+nsUrH4DtrlOSo3yePjV2Llv8andya8+0uzfHy2VyeiRkQ11vENaJVw6e6/LTKgSVYej+5Rf5r9SiRXx2OaEMlri8czqyXCZ34xxTBTskzTmi1Sauj2NvNT61+Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8D5ytw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlO/D+n3+bHzJONtRmBGsY3kGlb53sfKcUsqKMu7fLVNsj0daX8LJfhhZba7n9Wps8Kku1SxIXy4G49AM59emZeOEtmJHe21of30apsLlKerugRR3tMUTzb/aHegVHuG7RLbtCa69AsGcIsmOdRhOkrZZFX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCs5vl7QqvJr/XZSq9qPhOai2NnLX8Prb+B30Zu8xxGp1ewCndoDjAF+2Q1wi3RWo8wXncKvMzMNLTss+Vn56Tp5bZcJL5m62Zj7NPaVJo0a8501sLUL0LjtUPjdaAO23TWaLVo2o0leinGFm19WhnKrw63dg3KC5Gy7JEZ1ChASjeWCqM6EKnKMb5BvRdpbYq0urBa3dMAd82HIP1rfXV1f5/v7pG6S75Nnzwwjl8GtEpH5HOZ1upIjSkg59vavrqrv0MtyL1HFhQp8z1OXDF86tSncp5L+ju9s6Vk561FMPeW3uo+xsZ2qP7FGnJMayKjdWkQt6lHrOV35YhWLNJNx+eIKPPfJZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhQvqXMm8Ha9HrgRO/RhQTLrR33QNa9d8wUmCMyST4PcuM3hDucnySwB5tj+znup3iU7yJI9FNknqp/hJgYzjqtXPdnVtmxGZsv4eeqHX71n09ZH5JMEeJ30VO9Lq0q421j7pceb4Yra7e5YrPVXpYrPC1+lhQHzeysFFeEdNRXwZzYYnqcWFMCJd6o6gjfz3J68jMp1OhlE1vQ7mYaWAb84riJekeKCJ83t11rzf3uTCO3hq9HmFdatwiUcJsXKrzA66lxazU5bV9iFsvV+5GibMTle0Uhrq7W1j7zRYyJuuXKClnw71d2TuFKEXOwjCFvuIbvWXxoUvzSyj4O1K+6NBwDMkdtsC/3VY7au8D3IZ4o+uc0YyoBW3BYCX27upxFntU6+iNQ92lH8IhnMcIdC1JP6KdtK7sTFmW3KUeTv8tWYGZikXpbc/6Y3C5yCNZ51RnPCOybPJoRsp8F6fuWAyHkJEUuYTz4XMNaRTHynynqd4YDHV5BEUOdXiYewxh79z2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYrtF2KhZs4b+fAc0DocV1A3u8X/Og7Dx3KqzyuUW0bfNXsd8Na5X6wzsugP118zllvIbC7nGM4zzUdnvSU/P/b7olpvKnVG8+Hpoz9q54DhtVScB5WlY7w7i6y8oVTwXMAnQ6r+o/5xSf42wpucRpkcdSiZc4pyaqaHTM1849I3OvNZiEyWTplMRWo2jmjRjdgddaDuws9O7gHWvR3K36Xkv4j1f392AK3HZD1MFp0zBx1qiyn7YU/RBvRs78+WSYx3eflubxta8Cy8Qa14z/ch9ce7vu3C2Mq/QcJr/YFK1aAQkaye7tl11YMRFE/eOAdkvucb0V16zmLxzbNxwNmiuT+1KtGSPpFvFvRK8T1Hyj7N1ak+q8eTA7xh383zQ5H6I7V1tZ3HPVfi3Czl3FzhnJF2ihzOnM+q72aVcdlxuAzy3Nmp7pdSnG3P86pzo7ulXPgOejV+WIEfOlK2SPsnFAnPVHU2b1FBc6Flck9YJ8pkIlkPGGd28/ddHdmeVvA6DRj//VL0fUfSfZClR/nviE7YZkQv0brZI+n5pmN1JvVehbT6e5Qvr25srf5fBuuVo1s3tzZvbj2+vfHVHf3/HHysfq1+q67DGv+T+gqoNdUhcBiqv6q/qb9v722fbM+259z1o0sa8ytV+Ld9/l+VGqFk</latexit> <latexit sha1_base64="kHl0Wr0M+6y5KvFoG5uf7NUP/Ms=">AABBw3ictVxtcxPJER4ubwd54y4f82UTHykuRYjNUZVUXaXqjG2MDwECyYa7E1B6WQvhlVZoJWPQ+Sfka/Jz8jvyD5JP+Qvpl5mdWWl2e9YhTNmeHc3T3dM709PdM6I3TUbZfHPzn5c++sEPf/Tjn3x8+cpPf/bzX/zy6iefHmXpYtaPD/tpks6e9bpZnIwm8eF8NE/iZ9NZ3B33kvhp72QHP396Gs+yUTppz99N4+fj7nAyOh71u3NoanWenb28urF5c5P+ReuVLV3ZUPpfM/0kOlQdNVCp6quFGqtYTdQc6onqqgzKd2pLbaoptD1XS2ibQW1En8fqXF0B7AJ6xdCjC60n8HsIT9/p1gk8I82M0H3gksDPDJCRugaYFPrNoI7cIvp8QZSxtYz2kmiibO/gb0/TGkPrXL2CVglneobicCxzdaz+TGMYwZim1IKj62sqC9IKSh45o5oDhSm0YX0An8+g3iek0XNEmIzGjrrt0uf/op7Yis993Xeh/k1SXoMSqZYefZpT6KpToh/R21zAZyxPApyHQCHWY8TaW9L1mEY/gf5LaH8I5ZxqRic9KEtqPa9E7kDxIXdE5D4UH3JfRDag+JANEdmE4kM2NRKxM9K5H9+C4sO3RM6PofiQj0XkEyg+5BMReQTFhzwSkd9C8SG/FZF3ofiQd0XkfSg+5H0R2YbiQ7ZF5CEUH/JQRO5B8SH3NLJ8pc6gpERnJKzKbagXeaClSKBlW5TvDllHH/ZOwJrul2DlVb0Lf/3Y3QCdxiXYvYB5d1yClWfePthIP1a2RfdoN/Fh74nYA5gBfuyBiP1avS7Bfh2w0k5KsPJaa0A/P1a2vg/gyY99IGIfQs2PlfeoR9Dixz4K2DGmJdimiH2s3pRgQ6z+rAQr2/0W2BU/Vt6n2tDfjw2xposSrGxPj8CD8WPl3eoptPqxT0XsM3VWgn0mYr8B6+7HfhOww74vwZo99grtIEPyR2JYsVXUuvmqxNoUqHUF/km+tyTkG/egXcIMc8yQMGMRsZ8j9gMRjRzRCJYry+1oRv6uzKWVI1qBiF6+N2FtLvYf5P2xlgQgdnPE7gqiyiPFd23GckrehWmRkPN858JayJjS3H5jLdbzodryGsSjAoLn9iua+TcoWsIICjVVRe1VvsczMqLnKsRbit7MKA0PGTfPrYKLOhNRPQ+qJ6LeeVDvRNTCg1qIqFMP6lRE2ZXv4joBM8DqH9/Fkp54BrCPXF4i8Aq2Yde5B2s0gvnTBC/wCbU8gr8tir2lUiUZRvO4T2KW43nBEs+gtlQb0G6jwl2KrxNaYTFIxj0f6RgfnzC3sdRrjq3web6TR3nGJJzOiOQZ5nTQW4xoPdWjc59azsm741o9/L183ZtaPfweafycvHiu1cPPtfTzC8je1tj2BbAtWE1TrX1br0uD8y9Mw9Sv0K6LFhff6ljPGaR3VpP+gX4zBxd4LztUY/3Yej0amTO+rDC+OjSsnjNHz/WooPfEXq+pRbVHMtFxr63XlSGlXXSi5bBPdd8M9hnoN2Pq9Wg0wePaoZh76dTrzt5pPhpbr0fjSHHe85w8eVOvR2NIz6wPW69HA7MtXR3n23pdy44a4NjZ1uta9QllgTEHxHOeW6xXNCM/aaGpjcg/qM7WuD7/+j6GOZsXeYxQTcn6tuV0evleVi2R8RdisGrzmnKgf7FwfLAijaW6JcZXLMO8sL+v07F7PGq+AVqMYPXzGYCUM09AQpOTQOudAMUtMeoqjszgbok4nCXHK6iObp2L3qLly1mjYttLapXiMjtaq8cO2euM5t6UfMIGaVbSQ6P0DZdRlDTUKGhIpldHd+/1ei1qf1PETVcQ03ym9elEiE/SquNUn9Zbjo6v6VOeORQ+87HzF7PNx9raYMyTki1CWap4uv1MHsltw331hrI5bv4sojeK9uqUrMaITqQyMQo12WL2xpf0bGkf0pkc8mAafXiPkaYyVXxqhll0zKdHZFFdeyvxRn2ZDB3XM7K6xh5Xo4cOeuhB149xdmDHeAi1NsQMh/DUDohyruS6SknjM/WH/HQ0pTdYHdEnBQtpaLC9iQsWsirKflWg8hbQOBs4Sg+nsUrH4DtrlOSo3yePjV2Llv8andya8+0uzfHy2VyeiRkQ11vENaJVw6e6/LTKgSVYej+5Rf5r9SiRXx2OaEMlri8czqyXCZ34xxTBTskzTmi1Sauj2NvNT61+Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8D5ytw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlO/D+n3+bHzJONtRmBGsY3kGlb53sfKcUsqKMu7fLVNsj0daX8LJfhhZba7n9Wps8Kku1SxIXy4G49AM59emZeOEtmJHe21of30apsLlKerugRR3tMUTzb/aHegVHuG7RLbtCa69AsGcIsmOdRhOkrZZFX+VbzKlIPo539X6hbXRe1hhQjZTO4rCEpvx9TtOZKmcCs5vl7QqvJr/XZSq9qPhOai2NnLX8Prb+B30Zu8xxGp1ewCndoDjAF+2Q1wi3RWo8wXncKvMzMNLTss+Vn56Tp5bZcJL5m62Zj7NPaVJo0a8501sLUL0LjtUPjdaAO23TWaLVo2o0leinGFm19WhnKrw63dg3KC5Gy7JEZ1ChASjeWCqM6EKnKMb5BvRdpbYq0urBa3dMAd82HIP1rfXV1f5/v7pG6S75Nnzwwjl8GtEpH5HOZ1upIjSkg59vavrqrv0MtyL1HFhQp8z1OXDF86tSncp5L+ju9s6Vk561FMPeW3uo+xsZ2qP7FGnJMayKjdWkQt6lHrOV35YhWLNJNx+eIKPPfJZ+K/Y7qmNntbd9JVPAnbLzJq8ry4khhQvqXMm8Ha9HrgRO/RhQTLrR33QNa9d8wUmCMyST4PcuM3hDucnySwB5tj+znup3iU7yJI9FNknqp/hJgYzjqtXPdnVtmxGZsv4eeqHX71n09ZH5JMEeJ30VO9Lq0q421j7pceb4Yra7e5YrPVXpYrPC1+lhQHzeysFFeEdNRXwZzYYnqcWFMCJd6o6gjfz3J68jMp1OhlE1vQ7mYaWAb84riJekeKCJ83t11rzf3uTCO3hq9HmFdatwiUcJsXKrzA66lxazU5bV9iFsvV+5GibMTle0Uhrq7W1j7zRYyJuuXKClnw71d2TuFKEXOwjCFvuIbvWXxoUvzSyj4O1K+6NBwDMkdtsC/3VY7au8D3IZ4o+uc0YyoBW3BYCX27upxFntU6+iNQ92lH8IhnMcIdC1JP6KdtK7sTFmW3KUeTv8tWYGZikXpbc/6Y3C5yCNZ51RnPCOybPJoRsp8F6fuWAyHkJEUuYTz4XMNaRTHynynqd4YDHV5BEUOdXiYewxh79z2rs/L5VStr3UuoTx4FzAnLgaHJ3/lsYrtF2KhZs4b+fAc0DocV1A3u8X/Og7Dx3KqzyuUW0bfNXsd8Na5X6wzsugP118zllvIbC7nGM4zzUdnvSU/P/b7olpvKnVG8+Hpoz9q54DhtVScB5WlY7w7i6y8oVTwXMAnQ6r+o/5xSf42wpucRpkcdSiZc4pyaqaHTM1849I3OvNZiEyWTplMRWo2jmjRjdgddaDuws9O7gHWvR3K36Xkv4j1f392AK3HZD1MFp0zBx1qiyn7YU/RBvRs78+WSYx3eflubxta8Cy8Qa14z/ch9ce7vu3C2Mq/QcJr/YFK1aAQkaye7tl11YMRFE/eOAdkvucb0V16zmLxzbNxwNmiuT+1KtGSPpFvFvRK8T1Hyj7N1ak+q8eTA7xh383zQ5H6I7V1tZ3HPVfi3Czl3FzhnJF2ihzOnM+q72aVcdlxuAzy3Nmp7pdSnG3P86pzo7ulXPgOejV+WIEfOlK2SPsnFAnPVHU2b1FBc6Flck9YJ8pkIlkPGGd28/ddHdmeVvA6DRj//VL0fUfSfZClR/nviE7YZkQv0brZI+n5pmN1JvVehbT6e5Qvr25srf5fBuuVo1s3tzZvbj2+vfHVHf3/HHysfq1+q67DGv+T+gqoNdUhcBiqv6q/qb9v722fbM+259z1o0sa8ytV+Ld9/l+VGqFk</latexit> <latexit sha1_base64="kHl0Wr0M+6y5KvFoG5uf7NUP/Ms=">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</latexit> 4. Application to <latexit sha1_base64="XdF/kOeCy/VSl+ElFt1Gjk+AxL0=">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</latexit> <latexit sha1_base64="XdF/kOeCy/VSl+ElFt1Gjk+AxL0=">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</latexit> <latexit sha1_base64="XdF/kOeCy/VSl+ElFt1Gjk+AxL0=">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</latexit> <latexit sha1_base64="XdF/kOeCy/VSl+ElFt1Gjk+AxL0=">AABB3XictVzNchu5EYY3f2vnz5sc9zKJ1ilvylEkxVVJ1VaqVpZkWWvZlk1K9u7SVvFnRNEecmgOKcvm6pBDbqlc8wi5Jk+Q58gbJKe8QvoHGGBIzDRGcYyShAHxdTd6gEZ3A3RnnAyy6draP6988K1vf+e73/vw6rXv/+CHP/rx9Y9+cpSls0k3PuymSTp51mlncTIYxYfTwTSJn40ncXvYSeKnnVdb+PnTs3iSDdJRc/p2HD8ftvujwcmg255C0/H1j1vT+HzaOZnfXo02x8CRP4imaXRxfH1lbXWN/kXLlXVdWVH630H6UXSoWqqnUtVVMzVUsRqpKdQT1VYZlK/VulpTY2h7rubQNoHagD6P1YW6BtgZ9IqhRxtaX8HvPjx9rVtH8Iw0M0J3gUsCPxNARuoGYFLoN4E6covo8xlRxtYy2nOiibK9hb8dTWsIrVN1Cq0SzvQMxeFYpupE/Y7GMIAxjakFR9fVVGakFZQ8ckY1BQpjaMN6Dz6fQL1LSKPniDAZjR1126bP/0U9sRWfu7rvTP2bpLwBJVINPfo0p9BWZ0Q/orc5g89YngQ494FCrMeItTek6yGNfgT959D+EMoF1YxOOlDm1HpRidyC4kNuichdKD7krojch+JD7ovIAyg+5IFGInZCOvfjG1B8+IbI+TEUH/KxiHwCxYd8IiKPoPiQRyLyKyg+5Fci8i4UH/KuiLwPxYe8LyKbUHzIpog8hOJDHorIHSg+5I5Glq/UCZSU6AyEVbkJ9SIPtBQJtGyK8t0h6+jD3glY090SrLyqt+GvH7sdoNO4BLsTMO9OSrDyzNsFG+nHyrboHu0mPuw9EbsHM8CP3ROxX6iXJdgvAlbaqxKsvNb2oZ8fK1vfB/Dkxz4QsQ+h5sfKe9QjaPFjHwXsGOMS7IGIfaxel2BDrP6kBCvb/QbYFT9W3qea0N+PDbGmsxKsbE+PwIPxY+Xd6im0+rFPRewzdV6CfSZivwTr7sd+GbDDvivBmj32Gu0gffJHYlixVdTa+arE2hiotQX+Sb63JOQbd6BdwvRzTJ8wQxGxmyN2AxH7OWI/WK4st6MZ+bsyl0aOaAQiOvnehLWp2L+X98daEoDYzhHbC4gqjxTftRnLGXkXpkVCTvOdC2shY0pz+421WM+HastrEI8KCJ7bpzTzb1G0hBEUaqqK2mm+xzMyoucqxBuK3swoDQ8ZN82tgos6F1EdD6ojot56UG9F1MyDmomoMw/qTETZle/iWgEzwOof38WcnngGsI9cXiLwCjZh17kHazSC+XMAXuATankEfxsUe0ulSjKM5nGfxCzH84IlnkBtrlag3UaF2xRfJ7TCYpCMez7SMT4+YW5jrtccW+GLfCeP8oxJOJ0BydPP6aC3GNF6qkfnPrVckHfHtXr4e/m6N7V6+B3S+AV58Vyrh59q6aeXkL2psc1LYBuwmsZa+7ZelwbnX5iGqV+jXRctLr7VoZ4zSO+8Jv09/Wb2LvFetqjG+rH1ejQyZ3xZYXx1aFg9Z46e61FB74m9XlOLao9kpONeW68rQ0q76EjLYZ/qvhns09NvxtTr0TgAj2uLYu65U687e8f5aGy9Ho0jxXnPC/LkTb0ejT49sz5svR4NzLa0dZxv63UtO2qAY2dbr2vVR5QFxhwQz3lusV7RhPykmaY2IP+gOlvj+vzL+xjmbF7kMUI1JevbltPp5HtZtUTGX4jBqk1ryoH+xczxwYo05mpDjK9Yhmlhf1+mY/d41Pw+aDGC1c9nAFLOPAEJTU4CrXcCFNfFqKs4MoPbEHE4S04WUC3dOhW9RcuXs0bFtmNqleIyO1qrxxbZ64zm3ph8wn3SrKSH/dI3XEZR0tB+QUMyvTq6e6fXa1H7ayJuvIAY5zOtSydCfJJWHaf6tN5wdHxDn/JMofCZj52/mG0+0dYGY56UbBHKUsXT7WfySG4b7qu3lM1x82cRvVG0V2dkNQZ0IpWJUajJFrM3PqdnS/uQzuSQB9PownuMNJWx4lMzzKJjPj0ii+raW4k36stk6LiekdU19rga3XfQfQ+6foyzBTvGQ6g1IWY4hKdmQJRzLddVShqfqF/lp6MpvcHqiD4pWEhDg+1NXLCQVVH2aYHKG0DjbOAoPZzGIh2Dby1RkqN+nzw2di1a/ht0cmvOt9s0x8tnc3kmpkdcN4hrRKuGT3X5aZEDSzD3frJB/mv1KJFfHY5oQyWuLxzOrJcRnfjHFMGOyTNOaLVJq6PY281PLX5iOB0oc3aOp9kpWciI7F8E+1NKczKiH/fugDlBZ4uQkI0MsTuD3Lvx+ToDcY5ZP26g+FaDnW8x2bIZ8Td03dWV0VzkiIH3gYuFuW10sk++YExcJ9q627Vdvfsg0t6TcGcJU7Rz5Sbx/5R+mx8zT1aWZgRqGN9Apm2d732kFLOgjtq0y1fbINPXlfKTXIYXWmq7/1mZPilItk0RF8qDu3UPOHfpmXnhLJmQ3NlSH95Hq7K5SHm8oEcc7QlF8Wz3+3oHRrlv0S65QmuuRbOkD7NgmkcRpq+URV7kW82rSD2MdvZ/oW51XdQaUoyUzeCyhqT8fkzRmitlArOa5+8rWk1+rU8WelXzGdFcHDpr+Rto/Rn8NnKb5zA6nYJVuENzgCnYJ6sRbomWeoTxulPgZWamoWWfLT87J00vt+Uy8TVbNxtjn9WmckCz5lxnLUz9MjReOjReBuqwSWeNVoum3ViiYzG2aOrTylB+dbg1a1CeiZRlj8ygBgFSurFUGNWeSFWO8Q3qnUhrTaTVhtXqnga4az4E6V/ri6v7m3x3j9Rd8m265IFx/NKjVTogn8u0VkdqTAE539b21V39LWpB7h2yoEiZ73HiiuFTpy6Vi1zSX+idLSU7by2Cubf0RvcxNrZF9d8sIYe0JjJalwZxm3rEWn5XjmjBIq06PkdEmf82+VTsd1THzG5v+06igj9h401eVZYXRwoj0r+Uedtbil73nPg1ophwpr3rDtCq/4aRAmNMJsHvWWb0hnCX45ME9mg7ZD+X7RSf4o0ciVZJ6rn6fYCN4ajXznV3bpkRm7H9Enqi1u1b9/WQ+SXBHCV+lznRa9OuNtQ+6nzh+XK02nqXKz5X6WG2wNfqY0Z93MjCRnlFTEt9FsyFJarHhTEhXOqNoo789SSvIzOfToVSNr0N5WKmgW3MKcVL0j1QRPi8u5teb+5TYRydJXodwrrUuEWihNm4VOcHXEuLWamrS/sQt16t3I0SZycq2ykMdXe3sPabLWRM1i9RUs6Ge7uytwpRipyFYQpdxTd6y+JDl+ZnUPB3pHzRoeEYkjtsgH+7qbbUznu4DfFa1zmjGVEL2oLeQuzd1uMs9qjW0WuHuks/hEM4jwHoWpJ+QDtpXdmZsiy5Sz2c/huyAhMVi9LbnvXH4HKRR7LMqc54BmTZ5NEMlPkuTt2xGA4hIylyCefD5xrSKE6U+U5TvTEY6vIIihzq8DD3GMLeue1dn5fLqVpfy1xCefAuYE5cDA5P/spjFdsvxEJNnDfy/jmgdTipoG52i/91HIaP5VSfVyi3jL5r9jLgrXO/WGdk0R+uv2Yst5DZXM4xnGeaj856S35+7PdFtd5U6ozm/dNHf9TOAcNrrjgPKkvHeHcWWXlDqeC5gE+GVP1H/eOK/G2E1zmNMjnqUDLnFOXUTA+ZmvnGpW905rMQmSydMpmK1Gwc0aAbsVtqT92Fn63cA6x7O5S/S8l/Eev//mwPWk/IepgsOmcOWtQWU/bDnqL16Nneny2TGO/y8t3eJrTgWfg+teI934fUH+/6NgtjK/8GCa/1BypVvUJEsni6Z9dVB0ZQPHnjHJD5nm9Ed+k5i8U3z4YBZ4vm/tSiRHP6RL5Z0CnFdxwpuzRXx/qsHk8O8IZ9O88PRerX1NbWdh73XInzQSnngwXOGWmnyOHc+az6blYZly2HSy/PnZ3pfinF2fY8rzo3ul3Khe+gV+P7Ffi+I2WDtP+KIuGJqs7mzSpozrRM7gnrSJlMJOsB48x2/r6rI9uzCl5nAeO/X4q+70i6C7J0KP8d0QnbhOglWjc7JD3fdKzOpN6rkFZ/j/L4+sr64v9lsFw52lhdX1tdf7yx8vkd/f8cfKg+Vj9XN2GN/1Z9DtQO1CFw+IP6q/qb+vvm8eYfN/+0+Wfu+sEVjfmpKvzb/Mt/AWMNq1E=</latexit> <latexit sha1_base64="XdF/kOeCy/VSl+ElFt1Gjk+AxL0=">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</latexit> Generative Models <latexit sha1_base64="xJiDFeF/EVrJwbeUrmy5E00Nt6E=">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</latexit> <latexit sha1_base64="xJiDFeF/EVrJwbeUrmy5E00Nt6E=">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</latexit> <latexit sha1_base64="xJiDFeF/EVrJwbeUrmy5E00Nt6E=">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</latexit> <latexit sha1_base64="xJiDFeF/EVrJwbeUrmy5E00Nt6E=">AABB3HictVzNchu5EYY3f2vnz5vcksskWqd2U44jKVuVVG2lamVJlrWmbdmkZO8ubRd/RjTtIYfmkLRsrqpyyC2Vax4h1+QN8hx5g+SUV0j/AAMMiZnGKI5RkjAgvu5GD9DoboDuTpJhNtvc/Oel977xzW99+zvvX77y3e99/wc/vPrBj06ydD7txce9NEmnj7udLE6G4/h4Npwl8ePJNO6Mukn8qPtyFz9/tIin2TAdt2ZvJvGTUWcwHp4Oe50ZND27+pP2LD6bdU+XB/E4nkLjIo7upv04yc6fXd3YvLFJ/6L1ypaubCj97yj9IDpWbdVXqeqpuRqpWI3VDOqJ6qgMyldqS22qCbQ9UUtom0JtSJ/H6lxdAewcesXQowOtL+H3AJ6+0q1jeEaaGaF7wCWBnykgI3UNMCn0m0IduUX0+ZwoY2sZ7SXRRNnewN+upjWC1pl6Dq0SzvQMxeFYZupU/Y7GMIQxTagFR9fTVOakFZQ8ckY1AwoTaMN6Hz6fQr1HSKPniDAZjR1126HP/0U9sRWfe7rvXP2bpLwGJVJNPfo0p9BRC6If0ducw2csTwKcB0Ah1mPE2mvS9YhGP4b+S2i/B+WcakYnXShLaj2vRO5C8SF3ReQBFB/yQEQ2oPiQDRF5BMWHPNJIxE5J5358E4oP3xQ5P4DiQz4QkQ+h+JAPReQJFB/yRER+CcWH/FJE3oLiQ94SkXeg+JB3RGQLig/ZEpHHUHzIYxG5D8WH3NfI8pU6hZISnaGwKnegXuSBliKBlh1RvptkHX3YmwFruleClVf1Hvz1Y/cCdBqXYPcD5t1pCVaeeQdgI/1Y2Rbdpt3Eh70tYg9hBvixhyL2c/WiBPt5wEp7WYKV11oD+vmxsvW9C09+7F0Rew9qfqy8R92HFj/2fsCOMSnBHonYB+pVCTbE6k9LsLLdb4Jd8WPlfaoF/f3YEGs6L8HK9vQEPBg/Vt6tHkGrH/tIxD5WZyXYxyL2C7DufuwXATvs2xKs2WOv0A4yIH8khhVbRa2Tr0qsTYBaR+Cf5HtLQr5xF9olzCDHDAgzEhEHOeIgENHIEY1gubLcjmbk78pcmjmiGYjo5nsT1mZi/37eH2tJAGIvR+ytIKo8UnzXZiwL8i5Mi4Sc5TsX1kLGlOb2G2uxng/Vltcg7hcQPLef08y/TtESRlCoqSpqz/M9npERPVchXlP0ZkZpeMi4WW4VXNSZiOp6UF0R9caDeiOi5h7UXEQtPKiFiLIr38W1A2aA1T++iyU98QxgH7m8ROAV7MCucxvWaATz5wi8wIfUch/+Nin2lkqVZBjN4z6JWY4nBUs8hdpSbUC7jQr3KL5OaIXFIBn3vK9jfHzC3MZSrzm2wuf5Th7lGZNwOkOSZ5DTQW8xovVUj84dajkn745r9fC383VvavXw+6Txc/LiuVYPP9PSzy4ge0tjWxfANmE1TbT2bb0uDc6/MA1Tv0K7LlpcfKsjPWeQ3llN+of6zRxe4L3sUo31Y+v1aGTO+LLC+OrQsHrOHD3Xo4LeE3u9phbVHslYx722XleGlHbRsZbDPtV9M9inr9+MqdejcQQe1y7F3EunXnf2TvLR2Ho9GieK857n5Mmbej0aA3pmfdh6PRqYbenoON/W61p21ADHzrZe16qPKQuMOSCe89xivaIp+UlzTW1I/kF1tsb1+df3MczZPM1jhGpK1rctp9PN97JqiYy/EINVm9WUA/2LueODFWks1bYYX7EMs8L+vk7H7vGo+QZoMYLVz2cAUs48AQlNTgKtdwIUt8Soqzgyg9sWcThLTldQbd06E71Fy5ezRsW2Z9QqxWV2tFaPbbLXGc29CfmEDdKspIdG6RsuoyhpqFHQkEyvju7e6vVa1P6miJusICb5TOvRiRCfpFXHqT6tNx0dX9OnPDMofOZj5y9mm0+1tcGYJyVbhLJU8XT7mTyS24b76nVlc9z8WURvFO3VgqzGkE6kMjEKNdli9saX9GxpH9OZHPJgGj14j5GmMlF8aoZZdMynR2RRXXsr8UZ9mQwd1zOyusYeV6MHDnrgQdePcXZhx7gHtRbEDMfw1AqIcq7kukpJ41P1q/x0NKU3WB3RJwULaWiwvYkLFrIqyn5eoPIa0DgbOEoPp7FKx+Dba5TkqN8nj41di5b/Gp3cmvPtDs3x8tlcnonpE9dt4hrRquFTXX5a5cASLL2fbJP/Wj1K5FeHI9pQietThzPrZUwn/jFFsBPyjBNabdLqKPZ281OrnxhOR8qcneNpdkoWMiL7F8H+lNKcjOjHvTtgTtDZIiRkI0PszjD3bny+zlCcY9aPGyq+1WDnW0y2bE78DV13dWU0Fzli4H3gfGVuG500yBeMietUW3e7tqt3H0TaexLuLGGKdq58RPw/pt/mx8yTjbUZgRrGN5BpW+d7HynFLKijDu3y1TbI9HWl/DCX4amW2u5/VqYPC5LtUcSF8uBu3QfOPXpmXjhLpiR3ttaH99GqbC5SnqzoEUd7SlE82/2B3oFR7uu0S27QmmvTLBnALJjlUYTpK2WRV/lW8ypSD6Od/V+oW10XtYYUI2UzuKwhKb8fU7TmSpnArOb5+5JWk1/r05Ve1XzGNBdHzlr+Glp/Br+N3OY5jE63YBVu0hxgCvbJaoRborUeYbxuFniZmWlo2WfLz85J08ttuUh8zdbNxtiL2lSOaNac6ayFqV+ExguHxotAHbborNFq0bQbS/RMjC1a+rQylF8dbq0alOciZdkjM6hhgJRuLBVGtS9SlWN8g3or0toUaXVgtbqnAe6aD0H61/rq6v46390jdYt8mx55YBy/9GmVDsnnMq3VkRpTQM6faPvqrv42tSD3LllQpMz3OHHF8KlTj8p5Lukv9M6Wkp23FsHcW3qt+xgb26b6b9aQI1oTGa1Lg/iEesRafleOaMUi3XB8jogy/x3yqdjvqI6Z3d72nUQFf8LGm7yqLC+OFMakfynzdrgWvR468WtEMeFce9ddoFX/DSMFxphMgt+zzOgN4S7HJwns0XbJfq7bKT7FGzsS3SCpl+r3ATaGo1471925ZUZsxvZL6Ilat2/d10PmlwRzlPhd5ESvQ7vaSPuoy5Xni9Hq6F2u+Fylh/kKX6uPOfVxIwsb5RUxbfVpMBeWqB4XxoRwqTeKOvLXk7yOzHw6FUrZ9DaUi5kGtjHPKV6S7oEiwufdfeT15j4WxtFdo9clrEuNWyRKmI1LdX7AtbSYlbq8tg9x6+XK3ShxdqKyncJQd3cLa7/ZQsZk/RIl5Wy4tyt7uxClyFkYptBTfKO3LD50aX4KBX9HyhcdGo4hucMm+Lc7alftv4PbEK90nTOaEbWgLeivxN4dPc5ij2odvXKou/RDOITzGIKuJemHtJPWlZ0py5K71MPpvyYrMFWxKL3tWX8MLhd5JOuc6oxnSJZNHs1Qme/i1B2L4RAykiKXcD58riGN4lSZ7zTVG4OhLo+gyKEOD3OPIeyd2971ebmcqvW1ziWUB+8C5sTF4PDkrzxWsf1CLNTUeSPvngNah9MK6ma3+F/HYfhYTvV5hXLL6LtmLwLeOveLdUYW/eH6a8ZyC5nN5RzDeab56Ky35OfHfl9U602lzmjePX30R+0cMLyWivOgsnSMd2eRlTeUCp4L+GRI1X/UPy7J30Z4ldMok6MOJXNOUU7N9JCpmW9c+kZnPguRydIpk6lIzcYRTboRu6sO1S342c09wLq3Q/m7lPwXsf7vz/ah9ZSsh8mic+agTW0xZT/sKVqfnu392TKJ8S4v3+1tQQuehTeoFe/53qP+eNe3VRhb+TdIeK3fVanqFyKS1dM9u666MILiyRvngMz3fCO6S89ZLL55Ngo4WzT3p1YlWtIn8s2Cbim+60jZo7k60Wf1eHKAN+w7eX4oUr+mto6287jnSpyPSjkfrXDOSDtFDmfOZ9V3s8q47Dpc+nnubKH7pRRn2/O86tzoXikXvoNejR9U4AeOlE3S/kuKhKeqOps3r6A51zK5J6xjZTKRrAeMMzv5+66ObBcVvBYB479Tir7jSHoAsnQp/x3RCduU6CVaN/skPd90rM6k3q6QVn+P8tnVja3V/8tgvXKyfWNr88bWg+2Nz27q/+fgffVT9XP1Eazx36rPgNqROgYOf1B/VX9Tf995uvPHnT/t/Jm7vndJY36sCv92/vJf3yOrvA==</latexit> <latexit sha1_base64="xJiDFeF/EVrJwbeUrmy5E00Nt6E=">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</latexit> g✓ µ✓ X ⇣ 2. Entropic <latexit sha1_base64="NwXjPyYVggfw7my6QNv4L3FzTu0=">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</latexit> <latexit sha1_base64="NwXjPyYVggfw7my6QNv4L3FzTu0=">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</latexit> <latexit sha1_base64="NwXjPyYVggfw7my6QNv4L3FzTu0=">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</latexit> <latexit sha1_base64="NwXjPyYVggfw7my6QNv4L3FzTu0=">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</latexit> <latexit sha1_base64="NwXjPyYVggfw7my6QNv4L3FzTu0=">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</latexit> Regularization <latexit sha1_base64="7G43bxyOPPSQkWKLf/ChfMlJ7Ds=">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</latexit> <latexit sha1_base64="7G43bxyOPPSQkWKLf/ChfMlJ7Ds=">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</latexit> <latexit sha1_base64="7G43bxyOPPSQkWKLf/ChfMlJ7Ds=">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</latexit> <latexit sha1_base64="7G43bxyOPPSQkWKLf/ChfMlJ7Ds=">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</latexit> <latexit sha1_base64="7G43bxyOPPSQkWKLf/ChfMlJ7Ds=">AABB5nictVzNchu5EYY3f2vnz5scc5lEdsqb8jqSslVJ1VaqVpZkWWvZlk1K9u7SdnHIEUV7xKE5pCybqxfIIbdUrnmEXJNLniNvkJzyCukfYIAhMdMYxTFKEgbE193oARrdDdDxOB3m09XVf1764Fvf/s53v/fh5Svf/8EPf/Tjqx/95DDPZpNectDL0mzyNO7mSTocJQfT4TRNno4nSfckTpMn8atN/PzJaTLJh9moPX07Tp6ddAej4dGw151C04ur1zpEYx6ns+Q86kyTs2l8NH+cDGZpdzJ8R73OX1xdWb21Sv+i5cqarqwo/W8/+yg6UB3VV5nqqZk6UYkaqSnUU9VVOZSv1ZpaVWNoe6bm0DaB2pA+T9S5ugLYGfRKoEcXWl/B7wE8fa1bR/CMNHNC94BLCj8TQEbqOmAy6DeBOnKL6PMZUcbWKtpzoomyvYW/saZ1Aq1TdQytEs70DMXhWKbqSP2OxjCEMY2pBUfX01RmpBWUPHJGNQUKY2jDeh8+n0C9R0ij54gwOY0dddulz/9FPbEVn3u670z9m6S8DiVSLT36rKDQVadEP6K3OYPPWJ4UOA+AQqLHiLU3pOsTGv0I+s+h/QGUc6oZncRQ5tR6XovchOJDborIHSg+5I6I3IPiQ+6JyH0oPuS+RiJ2Qjr341tQfPiWyPkRFB/ykYh8DMWHfCwiD6H4kIci8isoPuRXIvIOFB/yjoi8B8WHvCci21B8yLaIPIDiQx6IyG0oPuS2Rlav1AmUjOgMhVW5AfUyD7QUKbRsiPLdJuvow94OWNO9Cqy8qrfgrx+7FaDTpAK7HTDvjiqw8szbARvpx8q26C7tJj7sXRG7CzPAj90VsV+olxXYLwJW2qsKrLzW9qCfHytb3/vw5MfeF7EPoObHynvUQ2jxYx8G7BjjCuy+iH2kXldgQ6z+pAIr2/0W2BU/Vt6n2tDfjw2xprMKrGxPD8GD8WPl3eoJtPqxT0TsU3VWgX0qYr8E6+7Hfhmww76rwJo99grtIAPyRxJYsXXUusWqxNoYqHUF/mmxt6TkG8fQLmEGBWZAmBMRsVMgdgIRewViL1iuvLCjOfm7MpdWgWgFIuJib8LaVOzfL/pjLQ1AbBWIrQVEnUeK79qM5ZS8C9MiIafFzoW1kDFlhf3GWqLnQ73lNYiHJQTP7WOa+TcpWsIICjVVR+242OMZGdFzHeINRW9mlIaHjJsWVsFFnYmo2IOKRdRbD+qtiJp5UDMRdepBnYoou/JdXCdgBlj947uY0xPPAPaRq0sEXsEG7Dp3YY1GMH/2wQt8TC0P4W+LYm+p1EmG0Tzuk5jleFayxBOozdUKtNuocIvi65RWWAKScc+HOsbHJ8xtzPWaYyt8XuzkUZExCaczJHkGBR30FiNaT83o3KOWc/LuuNYMf7dY96bWDL9NGj8nL55rzfBTLf30ArK3NbZ9AWwLVtNYa9/Wm9Lg/AvTMPUrtOuixcW3eqLnDNI7a0h/V7+Z3Qu8l02qsX5svRmN3BlfXhpfExpWz7mj52ZU0Htir9fUosYjGem419abypDRLjrSctinpm8G+/T1mzH1ZjT2wePapJh77tSbzt5xMRpbb0bjUHHe85w8eVNvRmNAz6wPW29GA7MtXR3n23pTy44a4NjZ1pta9RFlgTEHxHOeW6xXNCE/aaapDck/qM/WuD7/8j6GOZvnRYxQT8n6ttV04mIvq5fI+AsJWLVpQznQv5g5PliZxlyti/EVyzAt7e/LdOwej5rfAy1GsPr5DEDKmacgoclJoPVOgeKaGHWVR2Zw6yIOZ8nRAqqjW6eit2j5ctao3PaCWqW4zI7W6rFD9jqnuTcmn3CPNCvpYa/yDVdRlDS0V9KQTK+J7t7p9VrW/qqIGy8gxsVM69GJEJ+k1cepPq23HB1f16c8Uyh85mPnL2abj7S1wZgnI1uEstTxdPuZPJLbhvvqTWVz3PxZRG8U7dUpWY0hnUjlYhRqssXsjc/p2dI+oDM55ME0evAeI01lrPjUDLPomE+PyKK69lbijfoyGTqu52R1jT2uRw8c9MCDbh7jbMKO8QBqbYgZDuCpHRDlXCl0lZHGJ+qT4nQ0ozdYH9GnJQtpaLC9SUoWsi7KPi5ReQNonA0cpYfTWKRj8J0lSnLU75PHxq5ly3+dTm7N+XaX5nj1bK7OxPSJ6zpxjWjV8KkuPy1yYAnm3k/WyX+tHyXya8IRbajE9bnDmfUyohP/hCLYMXnGKa02aXWUe7v5qcVPDKd9Zc7O8TQ7IwsZkf2LYH/KaE5G9OPeHTAn6GwRUrKRIXZnWHg3Pl9nKM4x68cNFd9qsPMtIVs2I/6Grru6cpqLHDHwPnC+MLeNTvbIF0yI60Rbd7u263cfRNp7Eu4sYYp2rtwg/h/Tb/Nj5snK0oxADeMbyLWt872PjGIW1FGXdvl6G2T6ulJeK2R4rqW2+5+V6VpJsi2KuFAe3K37wLlHz8wLZ8mE5M6X+vA+WpfNRcrjBT3iaI8oime7P9A7MMp9k3bJFVpzHZolA5gF0yKKMH2lLPIi33peZephtPP/C3Wr67LWkGKkbAaXNSTl9xOK1lwpU5jVPH9f0Wrya32y0Kuez4jm4omzlr+B1p/DbyO3eQ6jE5eswm2aA0zBPlmNcEu01COM1+0SLzMzDS37bPnZOWl6uS0Xia/ZutkY+7QxlX2aNWc6a2HqF6Hx0qHxMlCHbTprtFo07cYSvRBji7Y+rQzl14RbuwHlmUhZ9sgMahggpRtLhVHti1TlGN+g3om0VkVaXVit7mmAu+ZDkP61vri6vyl290jdId+mRx4Yxy99WqVD8rlMa32kxhSQ86favrqrv0MtyD0mC4qU+R4nrhg+depROS8k/aXe2TKy89YimHtLb3QfY2M7VP/NEvKE1kRO69IgPqUeiZbflSNasEi3HJ8josx/l3wq9jvqY2a3t30nUcmfsPEmryrLiyOFEelfyrztLkWvu078GlFMONPedQy0mr9hpMAYk0nwe5Y5vSHc5fgkgT3amOznsp3iU7yRI9Etknqufh9gYzjqtXPdnVtmxGZsv4KeqHX71n09ZH5pMEeJ30VO9Lq0q51oH3W+8HwxWl29y5Wf6/QwW+Br9TGjPm5kYaO8MqajPgvmwhI148KYEC7NRtFE/maSN5GZT6dCKZvehnI508A25pjiJekeKCJ83t0Nrzf3sTCOeIleTFiXGrdIlDAbl+n8gGtpMSt1eWkf4tbLtbtR6uxEVTuFoe7uFtZ+s4VMyPqlSsrZcG9X9k4pSpGzMEyhp/hGb1V86NL8DAr+jpQvOjQcQ3KHLfBvN9Sm2n4PtyFe6zpnNCNqQVvQX4i9u3qc5R71OnrtUHfph3AI5zEEXUvSD2knbSo7U5Yld6mH039DVmCiElF627P5GFwu8kiWOTUZz5AsmzyaoTLfxWk6FsMhZCRlLuF8+FxDGsWRMt9pajYGQ10eQZlDEx7mHkPYO7e9m/NyOdXra5lLKA/eBcyJi8HhyV91rGL7hVioifNG3j8HtA5HNdTNbvG/jsPwsZya8wrlltN3zV4GvHXul+iMLPrDzdeM5RYym6s5hvPMitFZb8nPj/2+qNGbypzRvH/66I/aOWB4zRXnQWXpGO/OIitvKBU8F/DJkKn/qH9ckr+N8LqgUSVHE0rmnKKamukhUzPfuPSNznwWIpOlUyVTmZqNI1p0I3ZT7ao78LNZeIBNb4fydyn5L2L935/tQ+sRWQ+TRefMQYfaEsp+2FO0Pj3b+7NVEuNdXr7b24YWPAvfo1a85/uA+uNd33ZpbNXfIOG1fl9lql+KSBZP9+y6imEE5ZM3zgGZ7/lGdJees1h88+wk4GzR3J9alGhOn8g3C+JKfOxI2aO5OtZn9XhygDfsu0V+KFK/prautvO450qc9ys57y9wzkk7ZQ5nzmf1d7OquGw6XPpF7uxU98sozrbnefW50a1KLnwHvR4/qMEPHClbpP1XFAlPVH02b1ZDc6Zlck9YR8pkIlkPGGd2i/ddH9me1vA6DRj/vUr0PUfSHZAlpvx3RCdsE6KXat1sk/R807E+k3q3Rlr9PcoXV1fWFv8vg+XK4fqttdVba4/WVz6/rf+fgw/Vz9Qv1A1Y479VnwO1fXUAHP6g/qr+pv6+cbzxx40/bfyZu35wSWN+qkr/Nv7yX8B4sJ0=</latexit> 1. Optimal Transport <latexit sha1_base64="LcLGhsGkUCeIGqi6hZBzw7B8UV8=">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</latexit> <latexit sha1_base64="LcLGhsGkUCeIGqi6hZBzw7B8UV8=">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</latexit> <latexit sha1_base64="LcLGhsGkUCeIGqi6hZBzw7B8UV8=">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</latexit> <latexit sha1_base64="LcLGhsGkUCeIGqi6hZBzw7B8UV8=">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</latexit>
  6. Kantorovitch’s Formulation Points (xi)i, (yj)j Input distributions ↵ = Pn

    i=1 ai xi = Pm j=1 bj yj Weights ai > 0, bj > 0. Pn i=1 ai = Pm j=1 bj = 1 xi yj
  7. Kantorovitch’s Formulation Points (xi)i, (yj)j Input distributions ↵ = Pn

    i=1 ai xi = Pm j=1 bj yj Weights ai > 0, bj > 0. Pn i=1 ai = Pm j=1 bj = 1 xi yj Couplings: <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> U(a, b) def. = P 2 Rn⇥m + ; P1m = a, P>1n = b <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">AABFB3ictVxfc9u4EYev/y7uv1z70Ie+MPWlk2vd1E7TaWdubuYS23F8cRIlkp3chYlHlChFCSUqoqT80ekDdPphOtOHTt86/Rj9Bu1Tp9+gi12AACWQC7ppOLZBEL/dxRJY7C7ARONkkE13dv6x8cE3vvmtb3/nwwub3/3e93/ww4sf/eg0S2eTTnzSSZN08jhqZ3EyGMUn08E0iR+PJ3F7GCXxo+jlnnz+aB5PskE6ak3fjuOnw3Z/NOgNOu0pVJ1d/GM4jd9MF2HUC06WV8L2dhh9EoTxq27c2wzjUdZJR91F2AjCwSgIHz48++WzBRSmg2GcBcPlchFsBkHYCNNRnJ0thsvPgkWIQi0mcXcZhO3lNrV4Fk7TsWo2sppFySyGdtEy2FyeXdzaubqD/4L1wq4qbAn1r5F+dOnPIhRdkYqOmImhiMVITKGciLbI4HoidsWOGEPdU7GAugmUBvg8FkuxCdgZtIqhRRtqX8LvPtw9UbUjuJc0M0R3gEsCPxNABuIyYFJoN4Gy5Bbg8xlSlrVltBdIU8r2Fv5GitYQaqfiOdRyON3SFyf7MhU98XvswwD6NMYa2buOojJDrUjJA6tXU6AwhjpZ7sLzCZQ7iNR6DhCTYd+lbtv4/J/YUtbK+45qOxP/QikvwxWIpup9mlNoiznSD/BtzuAZyZMA5z5QiFUfZek16nqIvR9B+wXU34NriSWtkwiuBdYuK5F7cLmQeyzyEC4X8pBFHsPlQh6zyAZcLmRDISV2gjp345twufBNlvMDuFzIByzyIVwu5EMWeQqXC3nKIr+Cy4X8ikXegsuFvMUi78DlQt5hkS24XMgWizyBy4U8YZEHcLmQBwpZPlMncKVIZ8DMyhtQLvKQliKBmhusfDfROrqwNz3mdKcEy8/qffjrxu576DQuwR54jLteCZYfeYdgI91Y3hbdxtXEhb3NYo9gBLixRyz2C/GiBPuFx0x7WYLl59oxtHNjeet7F+7c2Lss9h6U3Fh+jboPNW7sfY8VY1yCbbDYB+JVCdbH6k9KsLzdb4JdcWP5daoF7d1YH2s6K8Hy9vQUPBg3ll+tHkGtG/uIxT4Wb0qwj1nsl2Dd3dgvPVbYdyVYvcZu4grSR38khhlbRa2dz0pZGgO1NsM/ydeWBH3jCOo5TD/H9BEzZBGHOeLQE3GcI4695cpyO5qhv8tzaeaIpiciytcmWZqy7bt5e1lKPBD7OWJ/BVHlkcp3rfsyR+9C13DIab5yyZJPn9LcfstSrMZDteXViPsFBI3t5zjytzFakhGU1FQVtef5Gk/IAO+rEK8xetO91Dx43DS3CjbqDYuKHKiIRb11oN6yqJkDNWNRcwdqzqLMzLdxoccIMPqX72KBdzQCyEcuvwLwCm7AqnMb5mgA46cBXuBDrLkPf5sYe3NXlWQympfrpMxyPC1Y4gmUFmIL6k1UuI/xdYIzLAbJqOV9FePLO5nbWKg5R1Z4ma/kQZ4x8aczQHn6OR3pLQY4n+rRuYM1S/TuqFQPfzuf97pUD3+AGl+iF0+levipkn56DtlbCts6B7YJs2mstG/KdWlQ/oVo6PImrrrS4sq3OlRjRtJ7U5P+kXozR+d4L3tYIv2Ycj0amdW/rNC/OjSMnjNLz/WoSO+JvF5dCmr3ZKTiXlOuK0OKq+hIyWHu6r4Z2aar3owu16PRAI9rD2PuhVWuO3rHeW9MuR6NU0F5zyV68rpcj0Yf70kfplyPhsy2tFWcb8p1LbvUAMXOplzXqo8wCyxzQDTmqcZ4RRP0k2aK2gD9g+psje3zr69jMmfzLI8RqikZ37acTpSvZdUSaX8hBqs2rSmH9C9mlg9WpLEQ19j4imSYFtb3dTpmjZeaPwYtBjD7aQ+Ay5knIKHOSUjrnQDFXTbqKvZM466xODlKeiuoUNVOWW/R8KWsUbHuDGu5uMz01ugxRHud4dgbo094jJrl9HBc+obLKHIaOi5oiKdXR3fv1Hwtan+HxY1XEON8pHVwR4h20qrjVJfWm5aOL6tdnilctOdjxq/MNveUtZExT4q2SMpSxdNup/NIdp1cV7eFyXHTswDfqLRXc7QaA9yRytgoVGeLyRtf4L2hfYJ7cpIH0ejAewwUlbGgXTOZRZf59AAtqm1vOd5SXzpDR+UMra62x9XovoXuO9D1Y5w9WDHuQakFMcMJ3LU8opzNXFcpanwifpXvjqb4Bqsj+qRgITUNsjdxwUJWRdnPC1ReA1qOBorS/Wms0tH4cI0SH/W75DGxa9HyX8adW72/3cYxXj6ayzMxXeR6DbkGOGtoV5fuVjmQBAvnk2vov1b3UvKrw1HaUI7rM4sz6WWEO/4xRrBj9IwTnG3c7Ci2tvNTq080p4bQe+dyNztFCxmg/QtgfUpxTAb4Y58d0DvoZBEStJE+dmeQezcuX2fAjjHjxw0EnWow4y1GWzZD/pquPbsyHIsUMdA6sFwZ21onx+gLxsh1oqy7mdvVq49EmnMS9ighimasXEH+n+Bv/aPHydbaiJAalm8gU7bO9T5SjFmkjtq4ylfbIN3WlvLjXIZnSmqz/hmZPi5Ito8Rl5RHrtZd4NzBe+IlR8kE5c7W2tA6WpXNlZTHK3qUve1hFE92v69WYCn3Nq6SWzjnQhwlfRgF0zyK0G25LPIq32peRep+tLP/C3Wj66LWJMVAmAwuaYjL78cYrdlSJjCqafy+xNnk1vpkpVU1nxGOxaE1l7+G2kvwW8ut7/3oRAWrcBPHAFEwd0YjVBOstfDjdbPAS49MTcvcG35mTOpWds154muybibGntem0sBR80ZlLXT5PDReWDReeOqwhXuNRou6XluiMza2aKndSl9+dbi1alCesZR5j0yjBh5S2rGUH9UuS5WP8TXqHUtrh6XVhtlq7wbYc94H6Z7rq7P763x1D8Qt9G066IFR/NLFWTpAn0vXVkdqREFyvq7sqz37Q6yR3CO0oJIyneOUM4Z2nTp4LXNJf65WthTtvLEI+tzSa9VG29gQy79ZQw5xTmQ4LzXiOraIlfy2HMGKRbpq+RwBZv7b6FOR31EdM9utzTsJCv6EiTdpVhleFCmMUP9c5u1oLXo9suLXAGPCmfKuI6BV/w1LCoTRmQS3Z5nhG5KrHO0kkEcbof1ct1O0izeyJLqKUi/EZx42hqJeM9btsaV7rPv2C2gptW7euqsFzy/x5sjxO8+OXhtXtaHyURcr9+ej1VarXPG+Sg+zFb5GHzNsY0cWJsorYkLxqTcXkqgeF8L4cKnXizry15O8jsy0O+VLWbfWlIuZBrIxzzFe4s6BSoTLu7vi9OY+YfoRrdGLEGtToxqOkszGpSo/YFtamZW6sLYOUe2FytUosVaispVCU7dXC2O/yULGaP0SweVsqLUte1iIUvgsDFHoCDrRWxYf2jQ/hUv+DoQrOtQcfXKHTfBvb4g9cfAeTkO8UmXKaAZYI21BdyX2bqt+FltU6+iVRd2m78PBn8cAdM1JP8CVtK7sRJmX3KbuT/81WoGJiFnpTcv6fbC58D1Z51SnPwO0bHxvBkJ/i1O3L5qDT0+KXPz50L4G14ue0N801euDps73oMihDg99jsHvnZvW9XnZnKr1tc7FlwetAnrHRePkzl95rGLa+VioifVG3j8HaR16FdT1avG/9kPzMZzq8/LlluG3Zi883jq1i1VGVvrD9eeM4eYzmss5+vNM894Zb8nNj/y+oNabSq3evH/60h81Y0DzWgjKg/LSEd4eRUZeXypyX8AlQyr+Lf62wX+N8CqnUSZHHUp6n6Kcmm7BU9NfXLp6p5/5yGTolMlUpGbiiCaeiN0TR+IW/OzlHmDd06H0LSX9lVj397NdqO2h9dBZdMochFgXY/bD7KJ18d6cny2TWJ7lpbO9LaiRe+HHWCvP+d7D9vKsb6vQt/IvSGiu3xWp6BYiktXdPTOvIuhBceeNckD6O98Az9JTFotOng099hbp/BRFSPqr5wUiuhgPrkq6QIQeLVWUIyflCM8ixSW0o0LfOjjCx2qHX+43yHP57TyrFIhfY11brQ5ypeakajikeoIZgQj1vwMR2m/FNvzdVmW3pI01STN8B0WJ3ljPqk+ALZ3jwnzFeBnzXzpDN1ftUozmza5hdQZ2v5QLnXSvxvcr8H1Lyia+rZcYb09Edc5wVkFzpmSy93FHQuc7SQ8ymm3n46M6fp5X8Jp79P9OKfqOJekhyBJhlj3AfbwJ0kuUbg5QejpPWZ2vvV0hrf5ak2iaE5VmHOizkdV7AYkad+Wzn84/cjmauISOPdfpJCa3O8HLw0vjIwtHZcZKMvP4RnjuIcvcg06PkabHUuizkqgZfHZxa3f1f+FYL5xeu7q7c3X3wfWtz2+q/6HjQ/FT8TNxBVan34nPYYQ2xAlw+s/GTzaCjUv7f9j/0/5f9v9KTT/YUJgfi8K//b//F0TjXxo=</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> b <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">AABB0nictVxfcxPJER8u/w7yD5LHvGxiSHEpQoxzVUnqKlVnbGN8CDBINtydgNJKayFYa4VWsgGdH1J5zVfIa/Ix8jnyDZKnfIX0n5mdWWl2e9YhTNmeHc2vu6d3pqe7Z0Q8SUf5bH39nxc++ta3v/Pd73188dL3f/DDH/348pWfHObZfNpPDvpZmk2fxr08SUfj5GA2mqXJ08k06R3HafIkfr2Fnz85Sab5KBt3Zu8mybPj3nA8Ohr1ezNoenH5ytUuEVnE6Tw5i7rx1ReX19ZvrtO/aLVyS1fWlP63n12JDlRXDVSm+mqujlWixmoG9VT1VA7la3VLrasJtD1TC2ibQm1EnyfqTF0C7Bx6JdCjB62v4fcQnr7WrWN4Rpo5ofvAJYWfKSAjdQ0wGfSbQh25RfT5nChjaxXtBdFE2d7B31jTOobWmXoJrRLO9AzF4Vhm6kj9nsYwgjFNqAVH19dU5qQVlDxyRjUDChNow/oAPp9CvU9Io+eIMDmNHXXbo8//RT2xFZ/7uu9c/ZukvAYlUm09+qyg0FMnRD+itzmHz1ieFDgPgUKix4i1U9L1MY1+DP0X0P4AyhnVjE5iKAtqPatFbkHxIbdE5C4UH3JXRLag+JAtEbkPxYfc10jETknnfnwbig/fFjk/guJDPhKRj6H4kI9F5CEUH/JQRH4FxYf8SkTegeJD3hGR96D4kPdEZAeKD9kRkQdQfMgDEbkDxYfc0cjqlTqFkhGdkbAqN6Fe5oGWIoWWTVG+22QdfdjbAWu6X4GVV/U2/PVjtwN0mlRgdwLm3VEFVp55u2Aj/VjZFt2l3cSHvSti92AG+LF7IvYL9aoC+0XASntdgZXXWgv6+bGy9b0PT37sfRH7AGp+rLxHPYQWP/ZhwI4xqcDui9hH6k0FNsTqTyuwst1vg13xY+V9qgP9/dgQazqvwMr29BA8GD9W3q2eQKsf+0TEPlVvK7BPReyXYN392C8Ddtj3FVizx16iHWRI/kgCK7aOWq9YlVibALWewD8t9paUfOMY2iXMsMAMCXMsInYLxG4golUgWsFy5YUdzcnflbm0C0Q7EBEXexPWZmL/QdEfa2kAYrtAbC8h6jxSfNdmLCfkXZgWCTkrdi6shYwpK+w31hI9H+otr0E8LCF4br+kmX+DoiWMoFBTddReFns8IyN6rkOcUvRmRml4yLhZYRVc1FsRFXtQsYh650G9E1FzD2ouok48qBMRZVe+i+sGzACrf3wXC3riGcA+cnWJwCvYhF3nLqzRCObPPniBj6nlIfxtU+wtlTrJMJrHfRKzHM9KlngKtYVag3YbFW5TfJ3SCktAMu75UMf4+IS5jYVec2yFz4qdPCoyJuF0RiTPsKCD3mJE66kZnXvUckbeHdea4e8W697UmuF3SONn5MVzrRl+pqWfnUP2jsZ2zoFtw2qaaO3belManH9hGqZ+iXZdtLj4Vo/1nEF6bxvS39NvZu8c72WLaqwfW29GI3fGl5fG14SG1XPu6LkZFfSe2Os1tajxSMY67rX1pjJktIuOtRz2qembwT4D/WZMvRmNffC4tijmXjj1prN3UozG1pvROFSc9zwjT97Um9EY0jPrw9ab0cBsS0/H+bbe1LKjBjh2tvWmVn1MWWDMAfGc5xbrFU3JT5praiPyD+qzNa7Pv7qPYc7meREj1FOyvm01nbjYy+olMv5CAlZt1lAO9C/mjg9WprFQG2J8xTLMSvv7Kh27x6PmW6DFCFY/nwFIOfMUJDQ5CbTeKVC8JUZd5ZEZ3IaIw1lytITq6taZ6C1avpw1Kre9oFYpLrOjtXrskr3Oae5NyCdskWYlPbQq33AVRUlDrZKGZHpNdPder9ey9tdF3GQJMSlmWp9OhPgkrT5O9Wm97ej4mj7lmUHhMx87fzHbfKStDcY8GdkilKWOp9vP5JHcNtxXbyib4+bPInqjaK9OyGqM6EQqF6NQky1mb3xBz5b2AZ3JIQ+m0Yf3GGkqE8WnZphFx3x6RBbVtbcSb9SXydBxPSera+xxPXrooIcedPMYZwt2jAdQ60DMcABPnYAo51Khq4w0PlW/Lk5HM3qD9RF9WrKQhgbbm6RkIeui7JclKqeAxtnAUXo4jWU6Bt9doSRH/T55bOxatvzX6OTWnG/3aI5Xz+bqTMyAuG4Q14hWDZ/q8tMyB5Zg4f1kg/zX+lEivyYc0YZKXJ87nFkvYzrxTyiCnZBnnNJqk1ZHubebn1r+xHDaV+bsHE+zM7KQEdm/CPanjOZkRD/u3QFzgs4WISUbGWJ3RoV34/N1RuIcs37cSPGtBjvfErJlc+Jv6LqrK6e5yBED7wNnS3Pb6KRFvmBCXKfautu1Xb/7INLek3BnCVO0c+U68f+EfpsfM0/WVmYEahjfQK5tne99ZBSzoI56tMvX2yDT15XyaiHDcy213f+sTFdLkm1TxIXy4G49AM59emZeOEumJHe+0of30bpsLlKeLOkRR3tEUTzb/aHegVHuG7RLrtGa69IsGcIsmBVRhOkrZZGX+dbzKlMPo53/X6hbXZe1hhQjZTO4rCEpv59QtOZKmcKs5vn7mlaTX+vTpV71fMY0F4+dtfwNtP4cfhu5zXMYnbhkFW7THGAK9slqhFuilR5hvG6XeJmZaWjZZ8vPzknTy205T3zN1s3G2CeNqezTrHmrsxamfh4arxwarwJ12KGzRqtF024s0Qsxtujo08pQfk24dRpQnouUZY/MoEYBUrqxVBjVgUhVjvEN6r1Ia12k1YPV6p4GuGs+BOlf68ur+5tid4/UHfJt+uSBcfwyoFU6Ip/LtNZHakwBOX+q7au7+rvUgtxjsqBIme9x4orhU6c+lbNC0l/qnS0jO28tgrm3dKr7GBvbpfpvV5DHtCZyWpcG8Sn1SLT8rhzRkkW66fgcEWX+e+RTsd9RHzO7ve07iUr+hI03eVVZXhwpjEn/UuZtbyV63XPi14hiwrn2rmOg1fwNIwXGmEyC37PM6Q3hLscnCezRxmQ/V+0Un+KNHYluktQL9ccAG8NRr53r7twyIzZj+xX0RK3bt+7rIfNLgzlK/M5zotejXe1Y+6iLpefz0erpXa78XKeH+RJfq4859XEjCxvllTFd9VkwF5aoGRfGhHBpNoom8jeTvInMfDoVStn0NpTLmQa2MS8pXpLugSLC591d93pznwjjiFfoxYR1qXGLRAmzcZnOD7iWFrNSF1f2IW69WLsbpc5OVLVTGOrubmHtN1vIhKxfqqScDfd2Ze+WohQ5C8MU+opv9FbFhy7Nz6Dg70j5okPDMSR32Ab/dlNtqZ0PcBvija5zRjOiFrQFg6XYu6fHWe5Rr6M3DnWXfgiHcB4j0LUk/Yh20qayM2VZcpd6OP1TsgJTlYjS257Nx+BykUeyyqnJeEZk2eTRjJT5Lk7TsRgOISMpcwnnw+ca0iiOlPlOU7MxGOryCMocmvAw9xjC3rnt3ZyXy6leX6tcQnnwLmBOXAwOT/6qYxXbL8RCTZ038uE5oHU4qqFudov/dRyGj+XUnFcot5y+a/Yq4K1zv0RnZNEfbr5mLLeQ2VzNMZxnVozOekt+fuz3RY3eVOaM5sPTR3/UzgHDa6E4DypLx3h3Fll5Q6nguYBPhkz9R/3jgvxthDcFjSo5mlAy5xTV1EwPmZr5xqVvdOazEJksnSqZytRsHNGmG7Fbak/dgZ+twgNsejuUv0vJfxHr//7sAFqPyHqYLDpnDrrUllD2w56iDejZ3p+tkhjv8vLd3g604Fl4i1rxnu8D6o93fTulsVV/g4TX+n2VqUEpIlk+3bPrKoYRlE/eOAdkvucb0V16zmLxzbPjgLNFc39qWaIFfSLfLIgr8bEjZZ/m6kSf1ePJAd6w7xX5oUj9htp62s7jnitx3q/kvL/EOSftlDm8dT6rv5tVxWXL4TIocmcnul9GcbY9z6vPjW5XcuE76PX4YQ1+6EjZJu2/pkh4quqzefMamnMtk3vCOlYmE8l6wDizV7zv+sj2pIbXScD471Wi7zmS7oIsMeW/IzphmxK9VOtmh6Tnm471mdS7NdLq71G+uLx2a/n/MlitHGzc/MPNW4821j6/rf+bg4/Vz9Qv1HVY4r9TnwOxfXUADE7VX9Xf1N83DzYXm3/a/DN3/eiCxvxUlf5t/uW/FJCnCA==</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> a <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> P <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit>
  8. Kantorovitch’s Formulation Points (xi)i, (yj)j Input distributions ↵ = Pn

    i=1 ai xi = Pm j=1 bj yj Weights ai > 0, bj > 0. Pn i=1 ai = Pm j=1 bj = 1 xi yj d(xi ,yj ) <latexit sha1_base64="p7cKh0q2Fy0W3wTGM7dSK/tQrAw=">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</latexit> <latexit sha1_base64="p7cKh0q2Fy0W3wTGM7dSK/tQrAw=">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</latexit> <latexit sha1_base64="p7cKh0q2Fy0W3wTGM7dSK/tQrAw=">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</latexit> <latexit sha1_base64="p7cKh0q2Fy0W3wTGM7dSK/tQrAw=">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</latexit> Couplings: <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">AABByXictVxblxO5ERab20JubPKYl05myWFzWDJM9pxc9uScHTzDMIsXDPYAyxo4vvQYQ9tt3PYw4J2n/IW8Jn8lvyP/IHnKX0hdpJbaVnepJwSdmVHL+qpK1VKpqiTTnyXjbLG9/c8LH3znu9/7/g8+vHjphz/68U9+evmjnz3M0uV8EB8N0iSdP+73sjgZT+OjxXiRxI9n87g36Sfxo/6rBn7+6CSeZ+N02lm8ncVPJ73RdHw8HvQW0PSkkS6By3SU/en55a3t69v0L9qs3NCVLaX/tdKPoiPVVUOVqoFaqomK1VQtoJ6onsqgfKNuqG01g7anagVtc6iN6fNYnalLgF1Crxh69KD1FfwewdM3unUKz0gzI/QAuCTwMwdkpK4AJoV+c6gjt4g+XxJlbC2jvSKaKNtb+NvXtCbQulAvoFXCmZ6hOBzLQh2rP9AYxjCmGbXg6AaaypK0gpJHzqgWQGEGbVgfwudzqA8IafQcESajsaNue/T5v6gntuLzQPddqn+TlFegRKqtR5/mFHrqhOhH9DaX8BnLkwDnEVCI9Rix9oZ0PaHRT6H/CtrvQjmjmtFJH8qKWs8qkQ0oPmRDRB5A8SEPRGQTig/ZFJEtKD5kSyMROyed+/FtKD58W+R8H4oPeV9EPoDiQz4QkQ+h+JAPReQTKD7kExF5C4oPeUtE3oHiQ94RkR0oPmRHRB5B8SGPROQ+FB9yXyPLV+ocSkp0xsKq3IV6kQdaigRadkX5bpJ19GFvBqzpQQlWXtV78NeP3QvQaVyC3Q+Yd8clWHnmHYCN9GNlW3SbdhMf9raIPYQZ4Mceitgv1csS7JcBK+1VCVZea03o58fK1vcrePJjvxKxd6Hmx8p71D1o8WPvBewYsxJsS8TeV69LsCFWf16Cle1+G+yKHyvvUx3o78eGWNNlCVa2pw/Bg/Fj5d3qEbT6sY9E7GN1WoJ9LGK/Buvux34dsMO+K8GaPfYS7SAj8kdiWLFV1Hr5qsTaDKj1BP5Jvrck5Bv3oV3CjHLMiDATEXGQIw4CEc0c0QyWK8vtaEb+rsylnSPagYh+vjdhbSH2H+b9sZYEIPZyxN4aosojxXdtxnJC3oVpkZCLfOfCWsiY0tx+Yy3W86Ha8hrEvQKC5/YLmvnXKFrCCAo1VUXtRb7HMzKi5yrEG4rezCgNDxm3yK2CizoVUX0Pqi+i3npQb0XU0oNaiqgTD+pERNmV7+K6ATPA6h/fxYqeeAawj1xeIvAKdmHXuQ1rNIL50wIv8AG13IO/bYq9pVIlGUbzuE9iluNpwRLPobZSW9Buo8I9iq8TWmExSMY97+kYH58wt7HSa46t8Fm+k0d5xiSczpjkGeV00FuMaD3Vo3OHWs7Iu+NaPfztfN2bWj38Pmn8jLx4rtXDL7T0i3PI3tHYzjmwbVhNM619W69Lg/MvTMPUL9GuixYX3+pEzxmkd1qT/qF+M4fneC8NqrF+bL0ejcwZX1YYXx0aVs+Zo+d6VNB7Yq/X1KLaI5nquNfW68qQ0i461XLYp7pvBvsM9Zsx9Xo0WuBxNSjmXjn1urN3lo/G1uvReKg473lGnryp16MxomfWh63Xo4HZlp6O8229rmVHDXDsbOt1rfqUssCYA+I5zy3WK5qTn7TU1MbkH1Rna1yff3Mfw5zNszxGqKZkfdtyOv18L6uWyPgLMVi1RU050L9YOj5YkcZK7YjxFcuwKOzvm3TsHo+ab4IWI1j9fAYg5cwTkNDkJNB6J0Dxhhh1FUdmcDsiDmfJ8Rqqq1sXordo+XLWqNj2nFqluMyO1uqxS/Y6o7k3I5+wSZqV9NAsfcNlFCUNNQsakunV0d07vV6L2t8WcbM1xCyfaQM6EeKTtOo41af1tqPjK/qUZwGFz3zs/MVs87G2NhjzpGSLUJYqnm4/k0dy23BfvaZsjps/i+iNor06IasxphOpTIxCTbaYvfEVPVvaR3QmhzyYxgDeY6SpzBSfmmEWHfPpEVlU195KvFFfJkPH9YysrrHH1eiRgx550PVjnAbsGHeh1oGY4QieOgFRzqVcVylpfK4+zU9HU3qD1RF9UrCQhgbbm7hgIaui7BcFKm8AjbOBo/RwGut0DL67QUmO+n3y2Ni1aPmv0MmtOd/u0Rwvn83lmZghcd0hrhGtGj7V5ad1DizByvvJDvmv1aNEfnU4og2VuD5zOLNepnTiH1MEOyPPOKHVJq2OYm83P7X+ieHUUubsHE+zU7KQEdm/CPanlOZkRD/u3QFzgs4WISEbGWJ3xrl34/N1xuIcs37cWPGtBjvfYrJlS+Jv6LqrK6O5yBED7wNna3Pb6KRJvmBMXOfautu1Xb37INLek3BnCVO0c+Uq8f+EfpsfM0+2NmYEahjfQKZtne99pBSzoI56tMtX2yDT15Xy41yGZ1pqu/9ZmT4uSLZHERfKg7v1EDgP6Jl54SyZk9zZRh/eR6uyuUh5tqZHHO0xRfFs90d6B0a5r9EuuUVrrkuzZASzYJFHEaavlEVe51vNq0g9jHb2f6FudV3UGlKMlM3gsoak/H5M0ZorZQKzmufvK1pNfq3P13pV85nSXJw4a/lbaP0l/DZym+cwOv2CVbhJc4Ap2CerEW6JNnqE8bpZ4GVmpqFlny0/OydNL7flPPE1WzcbY5/UptKiWXOqsxamfh4aLx0aLwN12KGzRqtF024s0XMxtujo08pQfnW4dWpQXoqUZY/MoMYBUrqxVBjVoUhVjvEN6p1Ia1uk1YPV6p4GuGs+BOlf6+ur+9t8d4/ULfJtBuSBcfwypFU6Jp/LtFZHakwBOX+m7au7+rvUgtz7ZEGRMt/jxBXDp04DKme5pL/WO1tKdt5aBHNv6Y3uY2xsl+q/20BOaE1ktC4N4jPqEWv5XTmiNYt03fE5Isr898inYr+jOmZ2e9t3EhX8CRtv8qqyvDhSmJL+pczb4Ub0eujErxHFhEvtXfeBVv03jBQYYzIJfs8yozeEuxyfJLBH2yf7uWmn+BRv6kh0naReqT8H2BiOeu1cd+eWGbEZ22+gJ2rdvnVfD5lfEsxR4neeE70e7WoT7aOu1p7PR6und7nic5Uelmt8rT6W1MeNLGyUV8R01efBXFiielwYE8Kl3ijqyF9P8joy8+lUKGXT21AuZhrYxrygeEm6B4oIn3d31evNfSKMo79Br09Ylxq3SJQwG5fq/IBraTErdXFjH+LWi5W7UeLsRGU7haHu7hbWfrOFjMn6JUrK2XBvV/ZuIUqRszBMYaD4Rm9ZfOjS/BwK/o6ULzo0HENyh23wb3dVQ+2/h9sQr3WdM5oRtaAtGK7F3j09zmKPah29dqi79EM4hPMYg64l6ce0k9aVnSnLkrvUw+m/ISswV7Eove1ZfwwuF3kkm5zqjGdMlk0ezViZ7+LUHYvhEDKSIpdwPnyuIY3iWJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXJJZQH7wLmxMXg8OSvPFax/UIs1Nx5I++fA1qH4wrqZrf4X8dh+FhO9XmFcsvou2YvA94694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaN4/ffRH7RwwvFaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/LsjfRnid0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhFtuhHbUIfqFvw0cg+w7u1Q/i4l/0Ws//uzQ2g9JuthsuicOehSW0zZD3uKNqRne3+2TGK8y8t3ezvQgmfhTWrFe753qT/e9e0Uxlb+DRJe61+pVA0LEcn66Z5dV30YQfHkjXNA5nu+Ed2l5ywW3zybBJwtmvtT6xKt6BP5ZkG/FN93pBzQXJ3ps3o8OcAb9r08PxSp31JbT9t53HMlzq1Szq01zhlpp8jh1Pms+m5WGZeGw2WY585OdL+U4mx7nledG90r5cJ30Kvxowr8yJGyTdp/RZHwXFVn85YVNJdaJveEdapMJpL1gHFmL3/f1ZHtSQWvk4Dx3ylF33EkPQBZ+pT/juiEbU70Eq2bfZKebzpWZ1JvV0irv0f5/PLWjfX/y2CzcrRz/Y/Xb9zf2fripv5vDj5Uv1C/Uldhif9efQHEWuoIGEzVX9Xf1N93m7vz3dPdd9z1gwsa83NV+Lf7l/8CC8OkPg==</latexit> <latexit sha1_base64="MCNqjwUgnSKqr3h3uG6OPk9oPyc=">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</latexit> U(a, b) def. = P 2 Rn⇥m + ; P1m = a, P>1n = b <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> <latexit sha1_base64="kzj0wPD/kexOzeTHYdqyAzdpsr8=">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</latexit> ↵ <latexit sha1_base64="4KqXiTYmNrccinBOUHKPrfIghcc=">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</latexit> <latexit sha1_base64="4KqXiTYmNrccinBOUHKPrfIghcc=">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</latexit> <latexit sha1_base64="4KqXiTYmNrccinBOUHKPrfIghcc=">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</latexit> <latexit sha1_base64="4KqXiTYmNrccinBOUHKPrfIghcc=">AABB0nictVzdchPJFW42fwv5g+QyN5MYUmyKEONsVZLaStUa2xgvAgSSDbsroPQzFoKRRmgkG9D6IpXbvEJuk8fIc+QNkqu8Qs5P93SP1DOnxyF02e5p9XfO6TPdp8853aI3TUbZfHPznxc++ta3v/Pd73188dL3f/DDH/348pWfHGXpYtaPD/tpks6e9rpZnIwm8eF8NE/ip9NZ3B33kvhJ7/UOfv7kJJ5lo3TSnr+bxs/G3eFkdDzqd+fQ9OLylasdIrKcxYOzqNNNrr64vLF5c5P+ReuVW7qyofS/ZnolOlQdNVCp6quFGqtYTdQc6onqqgzK1+qW2lRTaHumltA2g9qIPo/VmboE2AX0iqFHF1pfw+8hPH2tWyfwjDQzQveBSwI/M0BG6hpgUug3gzpyi+jzBVHG1jLaS6KJsr2Dvz1Nawytc/USWiWc6RmKw7HM1bH6PY1hBGOaUguOrq+pLEgrKHnkjGoOFKbQhvUBfD6Dep+QRs8RYTIaO+q2S5//i3piKz73dd+F+jdJeQ1KpFp69GlOoatOiH5Eb3MBn7E8CXAeAoVYjxFrp6TrMY1+Av2X0P4AyhnVjE56UJbUelaJ3IHiQ+6IyH0oPuS+iGxA8SEbIrIJxYdsaiRiZ6RzP74FxYdviZwfQfEhH4nIx1B8yMci8giKD3kkIr+C4kN+JSLvQPEh74jIe1B8yHsisg3Fh2yLyEMoPuShiNyD4kPuaWT5Sp1BSYnOSFiV21Av8kBLkUDLtijfbbKOPuztgDXdL8HKq3oX/vqxuwE6jUuwewHz7rgEK8+8fbCRfqxsi+7SbuLD3hWxBzAD/NgDEfuFelWC/SJgpb0uwcprrQH9/FjZ+t6HJz/2voh9ADU/Vt6jHkKLH/swYMeYlmCbIvaRelOCDbH6sxKsbPdbYFf8WHmfakN/PzbEmi5KsLI9PQIPxo+Vd6sn0OrHPhGxT9XbEuxTEfslWHc/9suAHfZ9CdbssZdoBxmSPxLDiq2i1s1XJdamQK0r8E/yvSUh37gH7RJmmGOGhBmLiP0csR+IaOSIRrBcWW5HM/J3ZS6tHNEKRPTyvQlrc7H/IO+PtSQAsZsjdlcQVR4pvmszlhPyLkyLhJznOxfWQsaU5vYba7GeD9WW1yAeFhA8t1/SzL9B0RJGUKipKmov8z2ekRE9VyFOKXozozQ8ZNw8twou6q2I6nlQPRH1zoN6J6IWHtRCRJ14UCciyq58F9cJmAFW//gulvTEM4B95PISgVewDbvOXVijEcyfJniBj6nlIfxtUewtlSrJMJrHfRKzHM8KlngGtaXagHYbFe5SfJ3QCotBMu75UMf4+IS5jaVec2yFz/KdPMozJuF0RiTPMKeD3mJE66kenXvUckbeHdfq4e/m697U6uH3SONn5MVzrR5+rqWfn0P2tsa2z4FtwWqaau3bel0anH9hGqZ+iXZdtLj4Vsd6ziC9tzXpH+g3c3CO97JDNdaPrdejkTnjywrjq0PD6jlz9FyPCnpP7PWaWlR7JBMd99p6XRlS2kUnWg77VPfNYJ+BfjOmXo9GEzyuHYq5l0697uyd5qOx9Xo0jhTnPc/Ikzf1ejSG9Mz6sPV6NDDb0tVxvq3XteyoAY6dbb2uVZ9QFhhzQDznucV6RTPykxaa2oj8g+psjevzr+9jmLN5nscI1ZSsb1tOp5fvZdUSGX8hBqs2rykH+hcLxwcr0liqLTG+Yhnmhf19nY7d41HzDdBiBKufzwCknHkCEpqcBFrvBCjeEqOu4sgMbkvE4Sw5XkF1dOtc9BYtX84aFdteUKsUl9nRWj12yF5nNPem5BM2SLOSHhqlb7iMoqShRkFDMr06unuv12tR+5sibrqCmOYzrU8nQnySVh2n+rTecnR8TZ/yzKHwmY+dv5htPtbWBmOelGwRylLF0+1n8khuG+6rN5TNcfNnEb1RtFcnZDVGdCKViVGoyRazN76kZ0v7kM7kkAfT6MN7jDSVqeJTM8yiYz49Iovq2luJN+rLZOi4npHVNfa4Gj100EMPun6MswM7xgOotSFmOISndkCUcynXVUoan6lf56ejKb3B6og+KVhIQ4PtTVywkFVR9ssClVNA42zgKD2cxiodg++sUZKjfp88NnYtWv5rdHJrzre7NMfLZ3N5JmZAXLeIa0Srhk91+WmVA0uw9H6yRf5r9SiRXx2OaEMlrs8dzqyXCZ34xxTBTskzTmi1Sauj2NvNT61+Yjg1lTk7x9PslCxkRPYvgv0ppTkZ0Y97d8CcoLNFSMhGhtidUe7d+HydkTjHrB83Unyrwc63mGzZgvgbuu7qymgucsTA+8DZytw2OmmQLxgT15m27nZtV+8+iLT3JNxZwhTtXLlO/D+h3+bHzJONtRmBGsY3kGlb53sfKcUsqKMu7fLVNsj0daW8msvwXEtt9z8r09WCZLsUcaE8uFsPgHOfnpkXzpIZyZ2t9eF9tCqbi5SnK3rE0R5TFM92f6h3YJT7Bu2SG7TmOjRLhjAL5nkUYfpKWeRVvtW8itTDaGf/F+pW10WtIcVI2Qwua0jK78cUrblSJjCref6+ptXk1/pspVc1nwnNxbGzlr+B1p/DbyO3eQ6j0ytYhds0B5iCfbIa4ZZorUcYr9sFXmZmGlr22fKzc9L0clvOE1+zdbMx9kltKk2aNW911sLUz0PjlUPjVaAO23TWaLVo2o0leiHGFm19WhnKrw63dg3KC5Gy7JEZ1ChASjeWCqM6EKnKMb5BvRdpbYq0urBa3dMAd82HIP1rfXV1f5Pv7pG6Q75Nnzwwjl8GtEpH5HOZ1upIjSkg50+1fXVXf4dakHuPLChS5nucuGL41KlP5SyX9Jd6Z0vJzluLYO4tneo+xsZ2qP7bNeSY1kRG69IgPqUesZbflSNasUg3HZ8josx/l3wq9juqY2a3t30nUcGfsPEmryrLiyOFCelfyrwdrEWvB078GlFMuNDedQ9o1X/DSIExJpPg9ywzekO4y/FJAnu0PbKf63aKT/EmjkQ3Seql+mOAjeGo1851d26ZEZux/Qp6otbtW/f1kPklwRwlfuc50evSrjbWPupy5fl8tLp6lys+V+lhscLX6mNBfdzIwkZ5RUxHfRbMhSWqx4UxIVzqjaKO/PUkryMzn06FUja9DeVipoFtzEuKl6R7oIjweXfXvd7cJ8I4emv0eoR1qXGLRAmzcanOD7iWFrNSF9f2IW69WLkbJc5OVLZTGOrubmHtN1vImKxfoqScDfd2Ze8UohQ5C8MU+opv9JbFhy7Nz6Dg70j5okPDMSR32AL/dlvtqL0PcBvija5zRjOiFrQFg5XYu6vHWexRraM3DnWXfgiHcB4j0LUk/Yh20rqyM2VZcpd6OP1TsgIzFYvS2571x+BykUeyzqnOeEZk2eTRjJT5Lk7dsRgOISMpcgnnw+ca0iiOlflOU70xGOryCIoc6vAw9xjC3rntXZ+Xy6laX+tcQnnwLmBOXAwOT/7KYxXbL8RCzZw38uE5oHU4rqBudov/dRyGj+VUn1cot4y+a/Yq4K1zv1hnZNEfrr9mLLeQ2VzOMZxnmo/Oekt+fuz3RbXeVOqM5sPTR3/UzgHDa6k4DypLx3h3Fll5Q6nguYBPhlT9R/3jgvxthDc5jTI56lAy5xTl1EwPmZr5xqVvdOazEJksnTKZitRsHNGiG7E76kDdgZ+d3AOsezuUv0vJfxHr//7sAFqPyXqYLDpnDjrUFlP2w56iDejZ3p8tkxjv8vLd3ja04Fl4g1rxnu8D6o93fduFsZV/g4TX+n2VqkEhIlk93bPrqgcjKJ68cQ7IfM83orv0nMXim2fjgLNFc39qVaIlfSLfLOiV4nuOlH2aq1N9Vo8nB3jDvpvnhyL1G2rrajuPe67EuVnKubnCOSPtFDm8dT6rvptVxmXH4TLIc2cnul9KcbY9z6vOje6WcuE76NX4YQV+6EjZIu2/pkh4pqqzeYsKmgstk3vCOlEmE8l6wDizm7/v6sj2pILXScD475Wi7zmS7oMsPcp/R3TCNiN6idbNHknPNx2rM6l3K6TV36N8cXnj1ur/ZbBeOdy6+Yebtx5tbXx+W/83Bx+rn6lfqOuwxH+nPgdiTXUIDE7VX9Xf1N+3D7eX23/a/jN3/eiCxvxUFf5t/+W/kX6nBg==</latexit> <latexit sha1_base64="4KqXiTYmNrccinBOUHKPrfIghcc=">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</latexit> <latexit sha1_base64="PcF1MpPzDDa0uFILWWmOBEzYWZs=">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</latexit> <latexit sha1_base64="PcF1MpPzDDa0uFILWWmOBEzYWZs=">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</latexit> <latexit sha1_base64="PcF1MpPzDDa0uFILWWmOBEzYWZs=">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</latexit> <latexit sha1_base64="PcF1MpPzDDa0uFILWWmOBEzYWZs=">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</latexit> <latexit sha1_base64="PcF1MpPzDDa0uFILWWmOBEzYWZs=">AABB03ictVxfcxPJER8u/w7yj7s85mUTQ+ouxRHjXFWSukrVGdsYHwIMkg13J6C00loI1lqhlYxB+CWV13yFvCbfIp8j3yB5yldI/5nZmZVmt2cdwpTt2dH8unt6Z3q6e0bEk3SUz9bX/3nhg+9893vf/8GHFy/98Ec//slPL3/08WGezaf95KCfpdn0cdzLk3Q0Tg5mo1maPJ5Mk95xnCaP4pdb+Pmjk2Saj7JxZ/Zmkjw57g3Ho6NRvzeDpmeXP77SJSKLOJ0nZ1E3Tq48u7y2fn2d/kWrlRu6sqb0v/3so+hAddVAZaqv5upYJWqsZlBPVU/lUL5VN9S6mkDbE7WAtinURvR5os7UJcDOoVcCPXrQ+hJ+D+HpW906hmekmRO6D1xS+JkCMlJXAZNBvynUkVtEn8+JMrZW0V4QTZTtDfyNNa1jaJ2p59Aq4UzPUByOZaaO1O9pDCMY04RacHR9TWVOWkHJI2dUM6AwgTasD+DzKdT7hDR6jgiT09hRtz36/F/UE1vxua/7ztW/ScqrUCLV1qPPCgo9dUL0I3qbc/iM5UmB8xAoJHqMWHtNuj6m0Y+h/wLa70E5o5rRSQxlQa1ntcgtKD7klojcheJD7orIFhQfsiUi96H4kPsaidgp6dyPb0Px4dsi5wdQfMgHIvIhFB/yoYg8hOJDHorIb6D4kN+IyFtQfMhbIvIOFB/yjojsQPEhOyLyAIoPeSAid6D4kDsaWb1Sp1AyojMSVuUm1Ms80FKk0LIpyneTrKMPezNgTfcrsPKq3oa/fux2gE6TCuxOwLw7qsDKM28XbKQfK9ui27Sb+LC3RewezAA/dk/EfqVeVGC/ClhpLyuw8lprQT8/Vra+d+HJj70rYu9BzY+V96j70OLH3g/YMSYV2H0R+0C9qsCGWP1pBVa2+22wK36svE91oL8fG2JN5xVY2Z4eggfjx8q71SNo9WMfidjH6rQC+1jEfg3W3Y/9OmCHfVuBNXvsJdpBhuSPJLBi66j1ilWJtQlQ6wn802JvSck3jqFdwgwLzJAwxyJit0DsBiJaBaIVLFde2NGc/F2ZS7tAtAMRcbE3YW0m9h8U/bGWBiC2C8T2EqLOI8V3bcZyQt6FaZGQs2LnwlrImLLCfmMt0fOh3vIaxP0Sguf2c5r51yhawggKNVVH7XmxxzMyouc6xGuK3swoDQ8ZNyusgos6FVGxBxWLqDce1BsRNfeg5iLqxIM6EVF25bu4bsAMsPrHd7GgJ54B7CNXlwi8gk3YdW7DGo1g/uyDF/iQWu7D3zbF3lKpkwyjedwnMcvxpGSJp1BbqDVot1HhNsXXKa2wBCTjnvd1jI9PmNtY6DXHVvis2MmjImMSTmdE8gwLOugtRrSemtG5Qy1n5N1xrRn+drHuTa0Zfoc0fkZePNea4Wda+tk5ZO9obOcc2DasponWvq03pcH5F6Zh6pdo10WLi2/1WM8ZpHfakP6efjN753gvW1Rj/dh6Mxq5M768NL4mNKyec0fPzaig98Rer6lFjUcy1nGvrTeVIaNddKzlsE9N3wz2Geg3Y+rNaOyDx7VFMffCqTedvZNiNLbejMah4rznGXnypt6MxpCeWR+23owGZlt6Os639aaWHTXAsbOtN7XqY8oCYw6I5zy3WK9oSn7SXFMbkX9Qn61xff7VfQxzNk+LGKGekvVtq+nExV5WL5HxFxKwarOGcqB/MXd8sDKNhdoQ4yuWYVba31fp2D0eNd8CLUaw+vkMQMqZpyChyUmg9U6B4g0x6iqPzOA2RBzOkqMlVFe3zkRv0fLlrFG57Rm1SnGZHa3VY5fsdU5zb0I+YYs0K+mhVfmGqyhKGmqVNCTTa6K7t3q9lrW/LuImS4hJMdP6dCLEJ2n1capP621Hx1f1Kc8MCp/52PmL2eYjbW0w5snIFqEsdTzdfiaP5LbhvnpN2Rw3fxbRG0V7dUJWY0QnUrkYhZpsMXvjC3q2tA/oTA55MI0+vMdIU5koPjXDLDrm0yOyqK69lXijvkyGjus5WV1jj+vRQwc99KCbxzhbsGPcg1oHYoYDeOoERDmXCl1lpPGp+qw4Hc3oDdZH9GnJQhoabG+SkoWsi7Kfl6i8BjTOBo7Sw2ks0zH47golOer3yWNj17Llv0ont+Z8u0dzvHo2V2diBsR1g7hGtGr4VJefljmwBAvvJxvkv9aPEvk14Yg2VOL61OHMehnTiX9CEeyEPOOUVpu0Osq93fzU8ieG074yZ+d4mp2RhYzI/kWwP2U0JyP6ce8OmBN0tggp2cgQuzMqvBufrzMS55j140aKbzXY+ZaQLZsTf0PXXV05zUWOGHgfOFua20YnLfIFE+I61dbdru363QeR9p6EO0uYop0rnxD/T+m3+THzZG1lRqCG8Q3k2tb53kdGMQvqqEe7fL0NMn1dKa8UMjzVUtv9z8p0pSTZNkVcKA/u1gPg3Kdn5oWzZEpy5yt9eB+ty+Yi5cmSHnG0RxTFs90f6h0Y5b5Gu+QarbkuzZIhzIJZEUWYvlIWeZlvPa8y9TDa+f+FutV1WWtIMVI2g8sakvL7CUVrrpQpzGqevy9pNfm1Pl3qVc9nTHPx2FnL76D1F/DbyG2ew+jEJatwk+YAU7BPViPcEq30CON1s8TLzExDyz5bfnZOml5uy3nia7ZuNsY+aUxln2bNqc5amPp5aLxwaLwI1GGHzhqtFk27sUTPxNiio08rQ/k14dZpQHkuUpY9MoMaBUjpxlJhVAciVTnGN6i3Iq11kVYPVqt7GuCu+RCkf60vr+53xe4eqVvk2/TJA+P4ZUCrdEQ+l2mtj9SYAnL+XNtXd/V3qQW5x2RBkTLf48QVw6dOfSpnhaS/0jtbRnbeWgRzb+m17mNsbJfqv11BHtOayGldGsTn1CPR8rtyREsW6brjc0SU+e+RT8V+R33M7Pa27yQq+RM23uRVZXlxpDAm/UuZt72V6HXPiV8jignn2ruOgVbzN4wUGGMyCX7PMqc3hLscnySwRxuT/Vy1U3yKN3Ykuk5SL9QfA2wMR712rrtzy4zYjO3X0BO1bt+6r4fMLw3mKPE7z4lej3a1Y+2jLpaez0erp3e58nOdHuZLfK0+5tTHjSxslFfGdNUXwVxYomZcGBPCpdkomsjfTPImMvPpVChl09tQLmca2MY8p3hJugeKCJ9394nXm/tUGEe8Qi8mrEuNWyRKmI3LdH7AtbSYlbq4sg9x68Xa3Sh1dqKqncJQd3cLa7/ZQiZk/VIl5Wy4tyt7txSlyFkYptBXfKO3Kj50aX4BBX9HyhcdGo4hucM2+LebakvtvIfbEK90nTOaEbWgLRgsxd49Pc5yj3odvXKou/RDOITzGIGuJelHtJM2lZ0py5K71MPpvyYrMFWJKL3t2XwMLhd5JKucmoxnRJZNHs1Ime/iNB2L4RAykjKXcD58riGN4kiZ7zQ1G4OhLo+gzKEJD3OPIeyd297Nebmc6vW1yiWUB+8C5sTF4PDkrzpWsf1CLNTUeSPvnwNah6Ma6ma3+F/HYfhYTs15hXLL6btmLwLeOvdLdEYW/eHma8ZyC5nN1RzDeWbF6Ky35OfHfl/U6E1lzmjeP330R+0cMLwWivOgsnSMd2eRlTeUCp4L+GTI1H/UPy7I30Z4VdCokqMJJXNOUU3N9JCpmW9c+kZnPguRydKpkqlMzcYRbboRu6X21C342So8wKa3Q/m7lPwXsf7vzw6g9Yish8mic+agS20JZT/sKdqAnu392SqJ8S4v3+3tQAuehbeoFe/53qP+eNe3Uxpb9TdIeK3fVZkalCKS5dM9u65iGEH55I1zQOZ7vhHdpecsFt88Ow44WzT3p5YlWtAn8s2CuBIfO1L2aa5O9Fk9nhzgDftekR+K1G+oraftPO65Euf9Ss77S5xz0k6Zw6nzWf3drCouWw6XQZE7O9H9Moqz7XlefW50u5IL30Gvxw9r8ENHyjZp/yVFwlNVn82b19Cca5ncE9axMplI1gPGmb3ifddHtic1vE4Cxn+nEn3HkXQXZIkp/x3RCduU6KVaNzskPd90rM+k3q6RVn+P8tnltRvL/5fBauVg4/ofrt94sLH25U393xx8qH6ufqk+gSX+O/UlENtXB8DgVP1V/U39ffNw893mnzb/zF0/uKAxP1Olf5t/+S9K36d3</latexit> [Kantorovich 1942] min nP i,j d(xi, yj)pPi,j ; P 2 U(a, b) o <latexit sha1_base64="Hpgu96nR+sIoZKkGTQOSO53lJ0s=">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</latexit> <latexit sha1_base64="Hpgu96nR+sIoZKkGTQOSO53lJ0s=">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</latexit> <latexit sha1_base64="Hpgu96nR+sIoZKkGTQOSO53lJ0s=">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</latexit> <latexit sha1_base64="Hpgu96nR+sIoZKkGTQOSO53lJ0s=">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</latexit> <latexit sha1_base64="Hpgu96nR+sIoZKkGTQOSO53lJ0s=">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</latexit> b <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> a <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> P <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit>
  9. Optimal Transport Distances ↵ b <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit

    sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> <latexit sha1_base64="LhlbHqBkrxCDCHirUc/UdkhSooo=">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</latexit> a <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">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</latexit> <latexit sha1_base64="8Zo6jhgi36Xza4qa7aLLE5GMJlQ=">AABB0XictVxbkxO5FRabyy7kxiaPeelkIMWmCDtMtipJbaVqh5lhmMWAwR5gdw2ULz3G0HYbt20u3qlK5TV/Ia/J38jvyD9InvIXci5SS22r+6gnBNXMqGV95xydlo7OOZLpTZNRNt/e/ue5D77z3e99/8OPzl/4wQ9/9OOfXPz4pw+zdDHrx8f9NElnj3vdLE5Gk/h4Ppon8ePpLO6Oe0n8qPdyDz9/tIxn2SidtOdvp/GTcXc4GZ2M+t05ND27ePFSh4isZvHgNOp0Lz27uLV9bZv+RZuV67qypfS/ZvpxdKw6aqBS1VcLNVaxmqg51BPVVRmUb9R1ta2m0PZEraBtBrURfR6rU3UBsAvoFUOPLrS+hN9DePpGt07gGWlmhO4DlwR+ZoCM1GXApNBvBnXkFtHnC6KMrWW0V0QTZXsLf3ua1hha5+o5tEo40zMUh2OZqxP1exrDCMY0pRYcXV9TWZBWUPLIGdUcKEyhDesD+HwG9T4hjZ4jwmQ0dtRtlz7/F/XEVnzu674L9W+S8jKUSLX06NOcQlctiX5Eb3MBn7E8CXAeAoVYjxFrr0nXYxr9BPqvoP0ulFOqGZ30oKyo9bQSuQfFh9wTkYdQfMhDEdmA4kM2RGQTig/Z1EjEzkjnfnwLig/fEjnfh+JD3heRD6D4kA9E5EMoPuRDEfk1FB/yaxF5E4oPeVNE3obiQ94WkW0oPmRbRB5D8SGPReQBFB/yQCPLV+oMSkp0RsKq3IV6kQdaigRadkX5bpB19GFvBKzpfglWXtX78NeP3Q/QaVyCPQiYdyclWHnmHYKN9GNlW3SLdhMf9paIPYIZ4Mceidgv1YsS7JcBK+1lCVZeaw3o58fK1vcOPPmxd0TsXaj5sfIedQ9a/Nh7ATvGtATbFLH31asSbIjVn5VgZbvfArvix8r7VBv6+7Eh1nRRgpXt6UPwYPxYebd6BK1+7CMR+1i9KcE+FrFfgXX3Y78K2GHflWDNHnuBdpAh+SMxrNgqat18VWJtCtS6Av8k31sS8o170C5hhjlmSJixiDjMEYeBiEaOaATLleV2NCN/V+bSyhGtQEQv35uwNhf7D/L+WEsCEPs5Yn8NUeWR4rs2Y1mSd2FaJOQ837mwFjKmNLffWIv1fKi2vAZxr4Dguf2cZv5VipYwgkJNVVF7nu/xjIzouQrxmqI3M0rDQ8bNc6vgot6IqJ4H1RNRbz2otyJq4UEtRNTSg1qKKLvyXVwnYAZY/eO7WNETzwD2kctLBF7BLuw6t2CNRjB/muAFPqCWe/C3RbG3VKokw2ge90nMcjwpWOIZ1FZqC9ptVLhP8XVCKywGybjnPR3j4xPmNlZ6zbEVPs138ijPmITTGZE8w5wOeosRrad6dG5Tyyl5d1yrh7+Vr3tTq4c/II2fkhfPtXr4uZZ+fgbZ2xrbPgO2BatpqrVv63VpcP6FaZj6Bdp10eLiWx3rOYP03tSkf6TfzNEZ3sse1Vg/tl6PRuaMLyuMrw4Nq+fM0XM9Kug9sddralHtkUx03GvrdWVIaRedaDnsU903g30G+s2Yej0aTfC49ijmXjn1urN3mo/G1uvReKg473lKnryp16MxpGfWh63Xo4HZlq6O8229rmVHDXDsbOt1rfqEssCYA+I5zy3WK5qRn7TQ1EbkH1Rna1yff3Mfw5zN0zxGqKZkfdtyOr18L6uWyPgLMVi1eU050L9YOD5YkcZK7YjxFcswL+zvm3TsHo+ab4AWI1j9fAYg5cwTkNDkJNB6J0Dxuhh1FUdmcDsiDmfJyRqqo1vnordo+XLWqNj2jFqluMyO1uqxQ/Y6o7k3JZ+wQZqV9NAofcNlFCUNNQoakunV0d07vV6L2t8WcdM1xDSfaX06EeKTtOo41af1lqPjy/qUZw6Fz3zs/MVs84m2NhjzpGSLUJYqnm4/k0dy23Bfvapsjps/i+iNor1aktUY0YlUJkahJlvM3viKni3tYzqTQx5Mow/vMdJUpopPzTCLjvn0iCyqa28l3qgvk6HjekZW19jjavTQQQ896Poxzh7sGHeh1oaY4Rie2gFRzoVcVylpfKZ+k5+OpvQGqyP6pGAhDQ22N3HBQlZF2c8LVF4DGmcDR+nhNNbpGHxng5Ic9fvksbFr0fJfppNbc77dpTlePpvLMzED4rpDXCNaNXyqy0/rHFiClfeTHfJfq0eJ/OpwRBsqcX3qcGa9TOjEP6YIdkqecUKrTVodxd5ufmr9E8OpqczZOZ5mp2QhI7J/EexPKc3JiH7cuwPmBJ0tQkI2MsTujHLvxufrjMQ5Zv24keJbDXa+xWTLFsTf0HVXV0ZzkSMG3gdO1+a20UmDfMGYuM60dbdru3r3QaS9J+HOEqZo58oV4v8J/TY/Zp5sbcwI1DC+gUzbOt/7SClmQR11aZevtkGmryvlpVyGp1pqu/9ZmS4VJNuniAvlwd16AJz79My8cJbMSO5sow/vo1XZXKQ8XdMjjvaEoni2+0O9A6PcV2mX3KI116FZMoRZMM+jCNNXyiKv863mVaQeRjv7v1C3ui5qDSlGymZwWUNSfj+maM2VMoFZzfP3Ja0mv9Zna72q+UxoLo6dtfwttP4Cfhu5zXMYnV7BKtygOcAU7JPVCLdEGz3CeN0o8DIz09Cyz5afnZOml9tylviarZuNsZe1qTRp1rzRWQtTPwuNFw6NF4E6bNNZo9WiaTeW6JkYW7T1aWUovzrc2jUoL0TKskdmUKMAKd1YKozqQKQqx/gG9U6ktS3S6sJqdU8D3DUfgvSv9fXV/W2+u0fqJvk2ffLAOH4Z0Codkc9lWqsjNaaAnD/T9tVd/R1qQe49sqBIme9x4orhU6c+ldNc0l/pnS0lO28tgrm39Fr3MTa2Q/XfbiDHtCYyWpcG8Rn1iLX8rhzRmkW65vgcEWX+u+RTsd9RHTO7ve07iQr+hI03eVVZXhwpTEj/UubtaCN6PXLi14hiwoX2rntAq/4bRgqMMZkEv2eZ0RvCXY5PEtij7ZH93LRTfIo3cSS6RlKv1B8DbAxHvXauu3PLjNiM7dfQE7Vu37qvh8wvCeYo8TvLiV6XdrWx9lFXa89no9XVu1zxuUoPizW+Vh8L6uNGFjbKK2I66vNgLixRPS6MCeFSbxR15K8neR2Z+XQqlLLpbSgXMw1sY55TvCTdA0WEz7u74vXmPhHG0dug1yOsS41bJEqYjUt1fsC1tJiVOr+xD3Hr+crdKHF2orKdwlB3dwtrv9lCxmT9EiXlbLi3K3unEKXIWRim0Fd8o7csPnRpfg4Ff0fKFx0ajiG5wxb4t7tqTx28h9sQr3SdM5oRtaAtGKzF3l09zmKPah29cqi79EM4hPMYga4l6Ue0k9aVnSnLkrvUw+m/JiswU7Eove1ZfwwuF3kkm5zqjGdElk0ezUiZ7+LUHYvhEDKSIpdwPnyuIY3iRJnvNNUbg6Euj6DIoQ4Pc48h7J3b3vV5uZyq9bXJJZQH7wLmxMXg8OSvPFax/UIs1Mx5I++fA1qHkwrqZrf4X8dh+FhO9XmFcsvou2YvAt4694t1Rhb94fprxnILmc3lHMN5pvnorLfk58d+X1TrTaXOaN4/ffRH7RwwvFaK86CydIx3Z5GVN5QKngv4ZEjVf9Q/zsnfRniV0yiTow4lc05RTs30kKmZb1z6Rmc+C5HJ0imTqUjNxhEtuhG7p47UTfjZyz3AurdD+buU/Bex/u/PDqD1hKyHyaJz5qBDbTFlP+wp2oCe7f3ZMonxLi/f7W1DC56FN6gV7/nepf5417ddGFv5N0h4rd9RqRoUIpL10z27rnowguLJG+eAzPd8I7pLz1ksvnk2DjhbNPen1iVa0SfyzYJeKb7nSNmnuTrVZ/V4coA37Lt5fihSn1JbV9t53HMlzs1Szs01zhlpp8jhjfNZ9d2sMi57DpdBnjtb6n4pxdn2PK86N7pfyoXvoFfjhxX4oSNli7T/kiLhmarO5i0qaC60TO4J60SZTCTrAePMbv6+qyPbZQWvZcD4b5eibzuSHoIsPcp/R3TCNiN6idbNAUnPNx2rM6m3KqTV36N8dnHr+vr/ZbBZOd659odr1+/vbH1xQ/83Bx+pn6tfqiuwxH+nvgBiTXUMDJbqr+pv6u+77d13u3/a/TN3/eCcxvxMFf7t/uW/kfamkA==</latexit> P <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> <latexit sha1_base64="n2zdOYSE8oWxrpoEULZvL+5/PUM=">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</latexit> ⇡ = P i,j Pi,j xi,yj <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">AABFJnictVxfbxu5EWeu/67pv1z72Je9OilyhS+13Sta4HDAJZbj+OIkSiQ7uYsSQyutlXVWWkUrKU50+j5Fv0S/QdGXorg+9aVA+9Sv0OEMueRK3B2um3phi0vxNzOcJYczQ67DcRJn062tby69961vf+e733v/+5d/8MMf/fgnVz746XGWzia96KiXJunkSdjNoiQeRUfTeJpET8aTqDsMk+hx+HJXfv94Hk2yOB21p2/G0bNhdzCKT+NedwpVJ1caVzvjeDf4LOhks+HJIt48W3aa9Bl0+tHJYtFBJoswmUXL85N4ualrJlF/+ebkbLm8enJlY+vGFv4E64VtVdgQ6qeZfvDhP0VH9EUqemImhiISIzGFciK6IoPrqdgWW2IMdc/EAuomUIrx+0gsxWXAzqBVBC26UPsS/g7g7qmqHcG9pJkhugdcEvidADIQ1wCTQrsJlCW3AL+fIWVZW0Z7gTSlbG/gM1S0hlA7FS+glsPplr442ZepOBW/xz7E0Kcx1sje9RSVGWpFSh5YvZoChTHUyXIfvp9AuYdIrecAMRn2Xeq2i9//C1vKWnnfU21n4t8o5TW4AtFSvU9zCl0xR/oBPs0ZfEfyJMB5ABQi1UdZeo26HmLvR9B+AfX34VpiSeskhGuBtctK5C5cLuQui9yHy4XcZ5GHcLmQhyyyCZcL2VRIiZ2gzt34FlwufIvl/BAuF/Ihi3wElwv5iEUew+VCHrPIr+ByIb9ikbfhciFvs8i7cLmQd1lkGy4Xss0ij+ByIY9Y5B5cLuSeQpbP1AlcKdKJmVl5E8pFHtJSJFBzk5XvFlpHF/aWx5zulWD5Wd2ATze24aHTqAS75zHuTkuw/MjbBxvpxvK26A6uJi7sHRZ7ACPAjT1gsV+IsxLsFx4z7WUJlp9rh9DOjeWt7z24c2Pvsdj7UHJj+TXqAdS4sQ88VoxxCbbJYh+KVyVYH6s/KcHydr8FdsWN5depNrR3Y32s6awEy9vTY/Bg3Fh+tXoMtW7sYxb7RJyXYJ+w2C/BuruxX3qssG9LsHqNvYwryAD9kQhmbBW1bj4rZWkM1LoM/yRfWxL0jUOo5zCDHDNAzJBF7OeIfU/EYY449JYry+1ohv4uz6WVI1qeiDBfm2Rpyrbv5+1lKfFANHJEYwVR5ZHKZ637MkfvQtdwyGm+csmST5/S3H7LUqTGQ7Xl1YgHBQSN7Rc48jcxWpIRlNRUFbUX+RpPyADvqxCvMXrTvdQ8eNw0two26pxFhQ5UyKLeOFBvWNTMgZqxqLkDNWdRZubbuI7HCDD6l89igXc0AshHLr8C8ApuwqpzB+ZoAOOnCV7gI6x5AJ8tjL25q0oyGc3LdVJmOZ4VLPEESguxAfUmKmxgfJ3gDItAMmr5QMX48k7mNhZqzpEVXuYreZBnTPzpxCjPIKcjvcUA51M9OnexZoneHZXq4e/k816X6uH3UONL9OKpVA8/VdJPLyB7W2HbF8C2YDaNlfZNuS4Nyr8QDV2+jKuutLjyqQ7VmJH0zmvSP1BP5uACz2UXS6QfU65HI7P6lxX6V4eG0XNm6bkeFek9kderS0HtnoxU3GvKdWVIcRUdKTnMXd0nI9v01ZPR5Xo0muBx7WLMvbDKdUfvOO+NKdejcSwo77lET16X69EY4D3pw5Tr0ZDZlq6K8025rmWXGqDY2ZTrWvURZoFlDojGPNUYr2iCftJMUYvRP6jO1tg+//o6JnM2z/MYoZqS8W3L6YT5WlYtkfYXIrBq05pySP9iZvlgRRoLscPGVyTDtLC+r9Mxa7zU/CFoMYDZT3sAXM48AQl1TkJa7wQobrNRV7FnGrfD4uQoOV1BdVTtlPUWDV/KGhXrTrCWi8tMb40eO2ivMxx7Y/QJD1GznB4OS59wGUVOQ4cFDfH06ujurZqvRe1vsbjxCmKcj7Qe7gjRTlp1nOrSesvS8TW1yzOFi/Z8zPiV2eZTZW1kzJOiLZKyVPG02+k8kl0n19VNYXLc9F2AT1TaqzlajRh3pDI2CtXZYvLGF3hvaB/hnpzkQTR68BwDRWUsaNdMZtFlPj1Ai2rbW4631JfO0FE5Q6ur7XE1emChBw50/RhnF1aM+1BqQ8xwBHdtjyjncq6rFDU+ER/nu6MpPsHqiD4pWEhNg+xNVLCQVVH2iwKV14CWo4GidH8aq3Q0vrNGiY/6XfKY2LVo+a/hzq3e3+7iGC8fzeWZmD5y3UGuAc4a2tWlu1UOJMHC+c0O+q/VvZT86nCUNpTj+tziTHoZ4Y5/hBHsGD3jBGcbNzuKre381Oo3mlNT6L1zuZudooUM0P4FsD6lOCYD/LXPDugddLIICdpIH7sT596Ny9eJ2TFm/LhY0KkGM94itGUz5K/p2rMrw7FIEQOtA8uVsa11coi+YIRcJ8q6m7ldvfpIpDknYY8SomjGynXk/xH+1b96nGysjQipYfkEMmXrXM8jxZhF6qiLq3y1DdJtbSmv5jI8V1Kb9c/IdLUgWQMjLimPXK37wLmH98RLjpIJyp2ttaF1tCqbKymPV/Qoe3uKUTzZ/YFagaXcm7hKbuCc6+AoGcAomOZRhG7LZZFX+VbzKlL3o539X6gbXRe1JikGwmRwSUNcfj/CaM2WMoFRTeP3Jc4mt9YnK62q+YxwLA6tufw11H4If7Xc+t6PTliwCrdwDBAFc2c0QjXBWgs/XrcKvPTI1LTMveFnxqRuZddcJL4m62Zi7HltKk0cNecqa6HLF6FxZtE489RhG/cajRZ1vbZEJ2xs0Va7lb786nBr16A8YynzHplGxR5S2rGUH9U+S5WP8TXqLUtri6XVhdlq7wbYc94H6Z7rq7P763x1D8Rt9G166IFR/NLHWRqjz6VrqyM1oiA5f6Lsqz37O1gjuYdoQSVlOscpZwztOvXwWuaS/lKtbCnaeWMR9Lml16qNtrEdLP9mDTnEOZHhvNSIT7BFpOS35QhWLNINy+cIMPPfRZ+K/I7qmNlubZ5JUPAnTLxJs8rwokhhhPrnMm8Ha9HrgRW/BhgTzpR3HQKt+k9YUiCMziS4PcsMn5Bc5WgngTzaEO3nup2iXbyRJdENlHohPvOwMRT1mrFujy3dY923X0FLqXXz1F0teH6JN0eO30V29Lq4qg2Vj7pYub8Yra5a5Yr3VXqYrfA1+phhGzuyMFFeEdMRn3pzIYnqcSGMD5d6vagjfz3J68hMu1O+lHVrTbmYaSAb8wLjJe4cqES4vLvrTm/uI6Yf4Rq9ELE2NarhKMlsXKryA7allVmpYCVCsuu5NSmx1qOy9cLwsFcNY8fJUkZoBRPB5W6otd2HTiFa4bMxRKEn6GRvWZxo0/wULvk3EK4oUXP0ySG2wM+9KXbF3js4FfFKlSmzGWCNtAn9lRi8q/pZbFGto1cWdZu+Dwd/HjHompM+xhW1ruxEmZfcpu5P/zVag4mIWOlNy/p9sLnwPVnnVKc/MVo4vjex0O/k1O2L5uDTkyIXfz60v8H14lTod5vq9UFT53tQ5FCHhz7P4PfMTev6vGxO1fpa5+LLg9YBvfOicXIHsDxmMe18LNTEeiLvnoO0DqcV1PVq8b/2Q/MxnOrz8uWW4TtnZx5PndpFKjMr/eL6c8Zw8xnN5Rz9eaZ574zX5OZH/l9Q60mlVm/ePX3pl5oxoHktBOVDeekIb48iI68vFbk/4JIhFf8Rf7rEv5XwKqdRJkcdSnq/opyabsFT029eunqnv/ORydApk6lIzcQTLTwZuysOxG343c09wLqnROmdSvqUWPd7tH2oPUXrobPplEHoYF2EWRCzm9bHe3OOtkxieaaXzvi2oUbuiR9irTzvex/byzO/7ULfyt8kobl+T6SiX4hMVnf5zLwKoQfFHTjKBen3fQM8U0/ZLDqBNvTYY6RzVBQp6befF4joY1y4KukCEXq0VFEOnZRDPJMUldAOC33r4Qgfq51+ue8gz+d38+xSIH6NdV21OsiVmpOq6ZDqKWYGQtT/FkRovxWb8Lmpym5Jm2uSZvgMihKdW99VnwRbOseFeZvxGubBdKZurtqlGNWb3cPqTGyjlAudeK/GDyrwA0vKFj6tlxh3T0R17nBWQXOmZLL3c0dC5z1JDzKa7ebjozp+nlfwmnv0/24p+q4l6T7IEmK2PcD9vAnSS5Ru9lB6OldZnbe9UyGtfmuTaJqTlWYc6DOS1XsCiRp35bOfzkFyuZqohI491+lEJndaJHZS4ufn2OM0RNejt3xffXrKUZmxksw83kSee8gy96BzykhzylIYsJIo+3ByZWN79X99rBeOd25sb93Yfriz8fkt9X9A3hc/F78Q12Ht+534HMZ/UxwBpz+Kv4hvxN8bf2j8ufHXxt+o6XuXFOZnovDT+Md/ARx/XHI=</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> <latexit sha1_base64="MwJI4GAby1QHrgL6rCgc8ZFj3mM=">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</latexit> ⇡ <latexit sha1_base64="41JmsYGA81vfUezwSfJzSu9tJV4=">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</latexit> <latexit sha1_base64="41JmsYGA81vfUezwSfJzSu9tJV4=">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</latexit> <latexit sha1_base64="41JmsYGA81vfUezwSfJzSu9tJV4=">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</latexit> <latexit sha1_base64="41JmsYGA81vfUezwSfJzSu9tJV4=">AABE5HictVzbkhPJES3WtzW+sfajX3o9i4N1YDyDcdgRG45YGA3DLAIGpBnYRUCopZYQ9KiFbly08wcOvzgc9pN/xd/hD3CE/eRfcF6quqql6s7qMaZjZqqr62RmZVdlZWZVE0/S0Wy+vf2Pcx9845vf+vZ3Pvzu+e99/wc//NGFj358PMsW015y1MvSbPoo7s6SdDROjuajeZo8mkyT7kmcJg/jl7v4/OEymc5G2bg9fztJnpx0h+PRYNTrzrGqMxntPruwtX1lm/5Fm4UdXdhS+t9h9tHH/1Qd1VeZ6qmFOlGJGqs5lFPVVTO4Hqsdta0mUPdEraBuCqURPU/UqToP2AW0SqBFF2pfwu8h3D3WtWO4R5ozQveASwo/U0BG6iJgMmg3hTJyi+j5gihjbRntFdFE2d7C31jTOoHauXoOtRLOtAzFYV/maqB+R30YQZ8mVIO962kqC9IKSh45vZoDhQnUYbkPz6dQ7hHS6DkizIz6jrrt0vN/UUusxfuebrtQ/yYpL8IVqZbufZZT6Kol0Y/obS7gGcuTAuchUEh0H7H0mnR9Qr0fQ/sV1N+F65RKRicxXCuqPa1E7sLlQ+6KyH24fMh9EdmEy4dsishDuHzIQ41E7JR07se34PLhWyLn+3D5kPdF5AO4fMgHIvIYLh/yWER+BZcP+ZWIvAmXD3lTRN6Gy4e8LSLbcPmQbRF5BJcPeSQi9+DyIfc0snymTuHKiM5ImJXXoVzkgZYihZrronw3yDr6sDcC5nSvBCvP6gb89WMbATpNSrB7AeNuUIKVR94+2Eg/VrZFt2g18WFvidgDGAF+7IGI/UK9KMF+ETDTXpZg5bnWhHZ+rGx978CdH3tHxN6Fkh8rr1H3oMaPvRewYkxKsIci9r56VYINsfrTEqxs91tgV/xYeZ1qQ3s/NsSaLkqwsj09Bg/Gj5VXq4dQ68c+FLGP1JsS7CMR+yVYdz/2y4AV9l0J1qyx52kFGZI/ksCMraLWzWclliZArSvwT/O1JSXfOIZ6CTPMMUPCnIiI/RyxH4ho5ohmsFyz3I7OyN+VubRyRCsQEedrE5bmYvt+3h5LaQCikSMaa4gqjxTftenLkrwLUyMh5/nKhaWQPmW5/cZSosdDteU1iHsFBI/t5zTyL1O0hBEUaqqK2vN8jWdkRPdViNcUvZleGh4ybp5bBRf1RkTFHlQsot56UG9F1MKDWoiopQe1FFF25ru4TsAIsPrHd7GiOx4B7COXXxF4Bddh1bkFczSC8XMIXuADqrkHf1sUe0tXlWQYzeM6iVmOJwVLPIXSSm1BvY0KGxRfpzTDEpCMW97TMT7eYW5jpeccW+HTfCWP8oxJOJ0RyTPM6aC3GNF8qkfnNtWcknfHpXr4W/m8N6V6+D3S+Cl58Vyqh59r6ednkL2tse0zYFswmyZa+7ZclwbnX5iGKZ+nVRctLr7VEz1mkN6bmvQP9Js5OMN72aUS68eW69GYOf2bFfpXh4bV88zRcz0q6D2x12tKUe2ejHXca8t1ZchoFR1rOexd3TeDbfr6zZhyPRqH4HHtUsy9csp1R+8k740t16NxrDjveUqevCnXozGke9aHLdejgdmWro7zbbmuZUcNcOxsy3Wt+piywJgD4jHPNdYrmpKftNDURuQfVGdrXJ9/cx3DnM3TPEaopmR923I6cb6WVUtk/IUErNq8phzoXywcH6xIY6WuivEVyzAvrO+bdOwaj5pvghYjmP28ByDlzFOQ0OQk0HqnQHFHjLqKPTO4qyIOR8lgDdXRtXPRW7R8OWtUrHtGtVJcZntr9dghez2jsTchn7BJmpX00Cx9w2UUJQ01CxqS6dXR3Ts9X4va3xZxkzXEJB9pPdoR4p206jjVp/WWo+OLepdnDhfv+djxi9nmgbY2GPNkZItQliqebjuTR3LrcF29rGyOm59F9EbRXi3JaoxoR2omRqEmW8ze+IruLe0j2pNDHkyjB+8x0lQminfNMIuO+fSILKprbyXeqC+ToePyjKyuscfV6KGDHnrQ9WOcXVgx7kKpDTHDEdy1A6Kc87muMtL4VP0y3x3N6A1WR/RpwUIaGmxvkoKFrIqynxeovAY0jgaO0sNprNMx+M4GJTnq98ljY9ei5b9IO7dmf7tLY7x8NJdnYvrE9SpxjWjW8K4u361zYAlW3idXyX+t7iXyq8MRbajE9anDmfUyph3/hCLYCXnGKc02aXYUW7v5qfUnhtOhMnvnuJudkYWMyP5FsD5lNCYj+nHPDpgddLYIKdnIELszyr0bn68zEseY9eNGik812PGWkC1bEH9D151dMxqLHDHwOnC6NraNTprkCybEdaqtu53b1asPIu05CXeUMEU7Vi4R/0/pt/kx42RrY0SghvENzLSt872PjGIW1FGXVvlqG2TaulJ+ksvwVEtt1z8r0ycFyRoUcaE8uFr3gXOP7pkXjpIpyT3baMPraFU2FylP1vSIvR1QFM92f6hXYJT7Mq2SWzTnOjRKhjAK5nkUYdpKWeR1vtW8itTDaM/+L9StrotaQ4qRshlc1pCU308oWnOlTGFU8/h9SbPJr/XpWqtqPmMaiyfOXP4aaj+G30Zucx9GJy5YhRs0BpiCvbMa4Zpoo0UYrxsFXmZkGlr23vKzY9K0cmvOEl+zdbMx9rI2lUMaNW901sKUz0LjhUPjRaAO27TXaLVo6o0leibGFm29WxnKrw63dg3KC5Gy7JEZ1ChASjeWCqPaF6nKMb5BvRNpbYu0ujBb3d0Ad86HIP1zfX12f52v7pG6Sb5Njzwwjl/6NEtH5HOZ2upIjSkg52vavrqzv0M1yD0mC4qU+RwnzhjederRdZpL+nO9smVk561FMOeWXus2xsZ2qPzrDeQJzYkZzUuDuEYtEi2/K0e0ZpGuOD5HRJn/LvlU7HdUx8xua/tOooI/YeNNnlWWF0cKY9K/lHk72IheD5z4NaKYcKG96xho1X/DSIExJpPg9yxn9IZwleOdBPZoY7Kfm3aKd/HGjkRXSOqV+n2AjeGo1451d2yZHpu+/QJaotbtW/e1kPmlwRwlfmfZ0evSqnaifdTV2v3ZaHX1Kle8r9LDYo2v1ceC2riRhY3yipiO+iyYC0tUjwtjQrjU60Ud+etJXkdm3p0KpWxaG8rFTAPbmOcUL0nnQBHh8+4ueb25T4V+xBv0YsK61LhGooTZuEznB1xLi1mpaC1CcuulNSl11qOy9cLycFcNa8fZUiZkBVMl5W64tduHTiFakbMxTKGn+GRvWZzo0vwMLvwdKV+UaDiG5BBb4OdeV7tq7z2cinily5zZjKgGbUJ/LQbv6n4WW1Tr6JVD3aUfwiGcxwh0LUk/ohW1ruxMWZbcpR5O/zVZg6lKROlty/p9cLnIPdnkVKc/I7Jwcm9GynyTU7cvhkNIT4pcwvnw/obUi4Ey3zbV64OhLvegyKEOD3OeIeyd29b1ebmcqvW1ySWUB68DZufF4HAHsDxmse1CLNTUeSPvnwNah0EFdbNa/K/9MHwsp/q8QrnN6JuzFwFvndslOjOLfnH9OWO5hYzmco7hPLO8d9Zr8vNj/y+q9aYypzfvnz76pXYMGF4rxflQWTrGu6PIyhtKBfcHfDJk6j/q7+fkrxJe5TTK5KhDyexXlFMzLWRq5stLX+/MsxCZLJ0ymYrUbDzRopOxu+pA3YSf3dwDrHtKlL+p5L+I9X9H24faAVkPk03nDEKH6hLKgtjdtD7d23O0ZRLjmV4+49uGGtwTb1Itnve9S+3xzG+70LfyL0l4rt9RmeoXIpP1XT47r2LoQXEHjnNB5nvfiM7UczaLT6CdBOwx8jkqjpTM188rQvQpLlyXdEUIM1qqKMdeyjGdSUpKaMeFvvVohE/0Tj/uO+D5/G6eXYrUr6iuq1cHXKklqQ49Uj2mzEBM+t+GCO036jL8vazLfkkPNySd0TsoSvTGeVZ9EuzUOy7s14wXKQ9mMnVL3S6jqN7uHlZnYhulXPjEezV+WIEfOlK26G29pLh7qqpzh4sKmgstk7ufO1Ym78l6wGi2m4+P6vh5WcFrGdD/26Xo246k+yBLTNn2iPbzpkQv1brZI+n5XGV13vZWhbTmq02maU9W2nFgzkhW7wmketyVz34+BynlapISOu5c5xOZ0mmRkZeSPD8nAachugG9lfsa0lOJykKUZBHwJfIyQJZlAJ2BIM1ApDAUJdH24dmFrZ31/+tjs3B89crO9pWd+9e2Pr+h/x+QD9VP1c/UJVj7fqs+h/F/qI4os/dH9Rf118ag8YfGnxp/5qYfnNOYn6jCv8bf/gsv+EDy</latexit> <latexit sha1_base64="41JmsYGA81vfUezwSfJzSu9tJV4=">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</latexit> Wp(↵, )p def. = min ⇡2M1 + (X2) ⇢Z X2 d(x, y)pd⇡(x, y) ; ⇡1 = ↵, ⇡2 = <latexit sha1_base64="lJUzn7m52pXEhLImUg62Dqwze80=">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</latexit> <latexit sha1_base64="lJUzn7m52pXEhLImUg62Dqwze80=">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</latexit> <latexit sha1_base64="lJUzn7m52pXEhLImUg62Dqwze80=">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</latexit> <latexit sha1_base64="lJUzn7m52pXEhLImUg62Dqwze80=">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</latexit> <latexit sha1_base64="lJUzn7m52pXEhLImUg62Dqwze80=">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</latexit>
  10. Optimal Transport Distances ↵ Theorem: <latexit sha1_base64="cHzNFJNn6IKb0rmopfqU8lH/agk=">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</latexit> <latexit sha1_base64="cHzNFJNn6IKb0rmopfqU8lH/agk=">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</latexit> <latexit

    sha1_base64="cHzNFJNn6IKb0rmopfqU8lH/agk=">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