Slide 29
Slide 29 text
[Liereo, Mielke, Savar´
e 2015]
Unbalanced OT
[Chizat, Schmitzer, Peyr´
e, Vialard 2015]
[Kondratyev, Monsaingeon, Vorotnikov 2015]
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OKp7oLbVQ3UAbXxLvW1Ux/PSMyW79FNl33jFtWRSFup9wof814R0FEtz1aLpozqE+L5419khyIO1vmTVkj13UM59RrbCPlDy18taR7WreG5GTiGU65Dj+OYPSsVzSDzvzuNg3K3JJ1WKN8NlBflkJqQsm13SotbvQNthvbvadZc4Sb9hr+j11cyy9moJikhbRnMzxoJWXspoQ8PkLNdVvbW6tFG+Ga+phdl2KytVTW3t+2Jp/9/trE7+ZYf836aFcWTVzJfdqrGw39jO/7btvI2HuvVWFnRdX/UbW/q/akvX9UO2Hfl3YfSphvlGL9d5k6x0y1xH3zInd2+FxoFFDrLnPbVippaVKiv+ZoWsiC/GIr49rtfjZ6Krpncyx4zB+cSB3LVp7sQd6hUojt+6NM8g9rygeG5GrYPv4O0oOQX7oZK7keuRkwrqg0J0XMZ0iNuMNFpGvp+PJ4v3keK+aJxBsE9vyOxhok9i4e10aKlJAXk3pyf2FaJbpsa3d8vs3aSkYT7dYW4QTgrlK+aVvbYcPSa5REZG2Tl9kUuXeMrN+6JEKqFe5M93I7cpJ1K/k9O3ZTMS9GjFsk5XCVm1T5vmxMu64r3nA6pjPoEyV7irdu7gWM/p7Tm0SSc8j2X7UZk3KGvY5K96XqbIfnRMniGGoslfpVg3i1QuN7aPde2dk1qUW5s2tp5jXZ1eWfFziHMMDdGim06otpDSWhSlUC0VKbm8caLrEWXpUyvvklXyvr0ZjRky7Wd5xxBqN3yP+lVtvsOCT+S7/kekR9wN0dFlruNRzll/zoPPV8wIZd7NGTxpY/fVMe3cTfRsFM71XnhKOaTZtpnq63Uc0eyueqAeqr8GWn3I/bW3FDOdR7BJZT+Wfz/Ffn6bn71DOHw70oZ6nt/RWLePUN55lPJc3/Pmp7sdoFqlu53T9VMOyeuT2E/5gXpK44Ym2mCpjyN2FD+ku9d8lPGmuWPK1arckF9P9z7I8KBS95Ia2pEke6X4JmiRxr4N8AadIOR7F9AOZ42k61BaHBeT8zqc9vTMrev8lvkupMtnWpc9fQuQL/eF3hUZ2gt5QaXgnK+U7MudBulnSs5jyhj7gs5my4jaxAthKsUzQ+YkJZfBpinj9hDdi1w+n01zHr7zbKHK94m5LD2Gp9yJxPooUi1rOIbaToEe2y3vzS5LHE+dae/lJTe0ixRXcm4LKldcfe6piUV3BZA3I+1J/FvZBmK48rki+/OKpatLuq2rTndh+eQ3g8Z0e6Kx1jrbwtsXXa2hidcwPK8qMixyOytbbRzFe06atr6uvLYW3k1aL7P0Rz4KB9DX8I3HBxF9F+c0/RTeJVpsDeGxhlDZoDMXhw4aR0Eq93IqaAF9TalI5yii9Dw2LZ47cp/J9p9W7eR3reLtp8dUA7cb1+aekt9qMJ/wex89P0Xeuc1jWmnzPeuU75qOkDi+Maek8PzHHUp7CQ9b6bE+C56ov6pIYqPnNPJ4pW6pJPcp/jrgO6GkJ7XTVixKOL66GWVftnU9jrQmY0v+vJt53mcq7oZDRAjGvm2gSCFe2l0Y1bnpsfTxlA40nVDL3835FUdUE+L2OID+XNXdNfu5unL2hmIxPF8kvwBk/zrPhBDmNAvzLubHXwzClCFY8oji37lq9utNSIF38iBqi976etcP+4YxjZ4xQpM7IczvD/Hpc2xpOGvlP5uGp87HyjVLXP4tEp734bM5KCWfMzuEMo3prPtH2mMdRXiHEVEo345jc+jQHBPvLMCx8wP190Gqr0k37dLJrJD8j3NUUipD6AwEems+axDiZ5fmENqlja1ylduf1sB+dsDvNTs11dN6lRgifGL1tCC/8cXmFohj7a06ETVbd591zO817OXtvXr3S92N0SuACY1a9yp+xKYRQ2GuyvdHc/uYB0sltxiWkeFdhz1VvoOd66UXYZ0DGtcNSm2hKME9KvuqHsViTd/OIzof9Zd0/zT757Ngv/XSyo9vx9CLuM+8Fr+PmT2QaICj9rKV+tCXOnZcofGNK1bwY881uln8EY6r5Dc8yrGgq69yx25+uxgpOR9cvsnZd9JJVou2cg7uecSeMr+wyVT5LG+L0lKqbWOFPfqsz/4fv7u8Vv6l1+rLi/W7a6t31z5dX/753+lfgf2R+jP1F6CLNfWh+rl6BDZ5ADL9k/pX9e/qP87/8fxfzv/t/Jec9Yc/0Jg/VYX/zv/zfwC0uEjt
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
AAB3Cnic7V1LcxxHcq5dv1bwS2sffWkblBekSRqAtJZDa4UXBEESFEhCBEBRwoDwPBrAkPPS9AwEaBb6BT74f/jmgyMce7AP/hO++7I/YW/OR2VXdXd1VTUohe3QqkNgT019mVlZWVmV9ZrOZNDPZqur//WDH/7Wb//O7/7ej95Z+v0/+MM/+uN3f/wnL7LxfNpND7rjwXj6stPO0kF/lB7M+rNB+nIyTdvDziD9rPNmE7//7DydZv3xaH92OUmPhu3TUf+k323PIOn43VuHn4xHvWl7dpme306ejEdZuz86Tcej28mL8XQ8G/XfjM+T9dW1nx4dv7u8eneV/kuqL2v6ZVnp/3bHP/7ov1VL9dRYddVcDVWqRmoG7wPVVhk8h2pNraoJpB2pBaRN4a1P36fqSi0Bdg65UsjRhtQ38PcUPh3q1BF8RpoZobvAZQD/TwGZqPcAM4Z8U3hHbgl9PyfKmLoEz3sNnkRtq6dqU+2oA3Vfbak94uF/lgi3CXwn6hJ49kH6MyhholZAmpvw7zqUflV9CG8PQcYO5UlBxkTtwr+ISUlSpvREbah99Yh4r8D7E3i7WaulBWkng//bwPPMo0/JeQKSYv1kpMFQ7gzkG4LMYbrIfUj5sBSxMtyGvEVOJqULNnWVa6aOopQc7WuoLrySnoKu25B6Rvbnz5tBegckxfqcUx35dTAl2pfeXDOq/znZ6hT43yb75jYzpXKkuQb78E1Pt6UEUCnQwLQR/T2FtDFIlxCPKXGQsmUeCWyqWLYp1dyV1vE2pGcky4xqIYFPTCGlzyckIba2lHKyXqQGUGaUaARpKXHpeSS5sGgz//qcdquXdiJo1gaXeUpypeorQgxJMizvAr7rkDfCdtenPFhuzI+eCtvNAryUyME0sEwpccUyLnILX0D7tL+58mAm8IaeAVG7+n0MvPvkA7EV+NCowxPKswB/lFKNjSKxXa2vBfmmKWmQ7e7SixvoMi3AC6Zah7780zz/c20LU6g7HyKFGh1qnWzBe5s+md7AhbpFbSwjr7UAn9gmTSQ6bU4UbK3UW9MJWVJbW33L+owWcUlyLMBaxiBZqj2QyGTyLsiOMuKJ9odSPaK/mKNfoS29mAu3T15Byh/usRLQ2lP1Alrrc/UM3rZAH5iyH9lfSWmwrZyTD0CtSb+9IJ9wpduMeB0jN38z1b3sIfRsd9XfUJ0eURu6q96nT5gPv1tTf6s/f0NpS9Q7zKglcP18TPkYhd/1ycsMa74dkLawHZvvMTd+x76wmL6kUSw957C94McgoeCFc/F7m05GHgOl/wpy9chKFwWpTDqW9g4831BP2yJ9nVAvhTKwXj+uwS4BhjWdag9m9C99Ykw9cv/lr80b9N2c/AOW7sb3sqZaRPEC/mKvb3/O6PMK4G6S9r+b+gzX5ixQj2Jr37ea++7aWLhOsLfB+ObIWzO+OvnpW9QJf19XLxfX1OeKWoYSoa3H1OlSY71j/ja890imAdE7taSqUkKp1h06uIryk0vBXpWjrk3qT319qLGI6vgSo4Q++VBjEf8Mdom6/Eb9UserCZSNR6ldskD/mNVF8x/gQZo/gedKvUM0D0BqU8oEPnEsxdrNaJx0Dm9deOtRhMzjjYS0darHw77SPYWH9Syj/Q48C0q98iI34XEhN4PIh/C4kA+DyB14XMidIHIXHhdy1/IJvhrbg8eF3wty/hQeF/LTIPI5PC7k8yDyBTwu5Isg8gt4XMgvgsgH8LiQD4LIT+BxIT8JIvfhcSH3g8gDeFzIgyByCx4Xcksj61vqVPczPfJkPh4bFJvZPLrw7wBSNoLy3aNZHRf2XkSb7tZgw636PsVULuz9CJ2mNditCLs7qcGGLe9hPoYuY8O+6FE+vixjHwWx2xRJurDbQexj9boG+ziipb2pwYbb2g71Vi5s2Ps+0TMJVeyTIPapHidUseE+6hmkuLHPInqMSQ12N4j9VH1Zg43x+tMabNjv7+URfhkb7qf28zikjI3xpvMabNifvoARjBsb7q0+g1Q39rMg9qWey6hiXwaxn9Ncmwv7eUQP+3UNVvpYngc9pfFICi3WR62dt0p8w1nidoD/IO9b8A37qF4Qc5pjTglTnjt0eVZBPIxE7OSInWi5styPZjTeDXPZyxF7kYhO3jd1KN4K5e/l+XsU0YQR93PE/RLCNyLl1Q7GndPoQlJCSHtm5CyqTOPcf+Nbqu3B73kF8ayAYNs+I8vHFaEZxUGoKR+1s7yPZ2RCn30InGc+yUspPMK4We4VbNRFENVxoDpB1KUDdRlEzR2oeRB17kCdB1Gm5du4VoQFGP1/RXMqJ7l3C8+FF1dLn0GPuwW9H6Y8g39jZsP9MT3OPWBPaWZ4xBdPFa5kLNOakcSF9ynC5jWWlNYoMOczaG+yuoerGQvd6tgPX+V9eaJk/SOeTp/kOc3p4HgxUcPGdD6hlCsa36V6la0J/lHe8uWtGX6LNM7rQaN8zSUeP9PSz64h+77G7l8DuwftaaK1b96b0uAZGKYh70uqpWfjsVaH2maQ3kVD+tu6ZravUS+8cmivIjbXUWaVLyuUrwkNo+fM0nMzKjh+4nGvvCWNSzLSka95byrDmPrRkZbDfGpaM5inp2tG3pvR2IUx1yZF3Qvrvan1TvLSmPdmNF5QTo4qzHszGrz7gfVh3pvRwPmWto70zXtTz44a4OjZvDf16ji/niqzc4BTzLhoSiMl2UfSpxGCf77GHvVX+zGctXmVRwl+SmZ0W0+no9IgHRORyDpbMzlwhDHXo7BNQOEKQXjeqk3jZrtHL3O3e3XU9Q7ozd4H45+RG4BMMg+R0sz9K72vxIexy2Jw60Ec2sVJCdXSqbPgCNHw5ZmiYtoxpYZiMVNao8cWeeiMrG1C48Ad0mxIDzslPYQphjS0U9BQmF4T3X2tW2hR+6tB3KSEmOSW1qUVRt4X6Y9NXVrfs3T8nl7ZwVU/Xuep28d1Ql6nTbL4eNr5ZO7ITsOe9LYy89r8XUI1ih7qnPxEn1ahwnu1ZIaYx98L+mxoH9DqX3ElLdFUZDcczpzjHHpCPtT2sCHeqC+ZleP3jPyseODQip1BnzrQTWOaTdrhswefn0O5N6P2+Jh1wDHpe6ru5Lsrx1R//hjeXm1s5TRk35ztH31x9VmBCq/+pjouj6dRpiP4VoVSOM53yWOi1aLffy/fWTmjkcDAa8v1cy894rpOXBNqM1Nqhwtrzd5wYAkWzm/WabzqLyXya8IRPWiI6yuLM+tlRLtnU4pYJzQSHlBbC7WNYm57Rqr8jXDaVbK7G9evx+QfE/J+CfROY7LJhP6394HzOpr4gwF5yBiv089HM66xTT9oY2bc1le899LYm2u/rN26eI8GRwjcC1yVbFt0skNjP97tMNW+3bRtf9+T0k5Z2dFtWwlTNLayQvxv0l/5X+xkuWIRqGHe18qezlUfY4pRUEdt6uP9Pkjy2lLeyGV4paU2vZ+R6UZBsvsUYSV6H24POHcV721GXmglU5I7q+SRfez1fRRSnpT0KLtXWtrrn+r+F+W+TX3kMrW5ljInBSRqkLyheeMyXz+vIvU42tl3Qt3ouqg1pJgoM2fLGgrN6KcUndlSDuhsBe/2TTWlqtanpVx+PiOyxaHVln8BqX8Of0Vu+RxHp1PwCvfIBpiC+WQ0wilJJUccr3sFXmKZQst8NvyMTUouO+U68TR7NxNTnzemwrvmL/Qshbxfh8Zri8brSB3u0+qi0aKkiyc6DkYW+3p9MpZfE277DSjPg5TDIzJB9SOktCOpOKq9INVwhC+or4O0VoO0cK+hPftvt/kYpLutl1v3Lwq9+wMa3XSVnGXgUWf53Ic/UmMKyPsD7WHt9t+iFORv71a1zy/hvGSXKIisf6n7tjF5euMTZK/SVzqPeNkWvb9fQQ6pVWTUMgXxAeWQ3Zu2HEnJJ921Rh0JzfW3aVTFIw9/zGznNrWSFEYUJt7kdmV4DdRPdLwwojqYqV95uW1XIthtK4ZNFK9zDvIYA2v5V41qGSNLtgyZTXCPLzOqJezreP2Ax7V8uqXqrXj1bgTaF7u7q3h/7ccRnoYjX/duaPxuruMmLNstyImaNzXvyhHmN4jmGOJ3nXU83qE8zPcoFz9fj1Zb93XFz81obZTk2ngLuTZKcm1U5Kqrn3lJH6ae5pTHjntMDFrEtNTPormwRM24MCaGy8Y1yrLRuCwb1yjLRuOyNCtFE/mbSd5EZl73i6UsuYVycU6H/fgZRaahPbaIcI2jV5zj5puBcnQq9DqEtalxSogSznqO9UyM3aPh/N87lf6eU9/x9voDq8ev65GFut0rm36Se6GUehiO+/3+u7i7ItGyigTh+S6m0FW8W7ouErdp/gwe/JsoVxwuHGNmafcgksAzI3G3BPj3mXyp33nmOKEU9Gu90ixHW5ezmMOvoy8t6jb9GA7xPPDkd0j6Po1WmsrOlMOS29Tj6X9FXmCq0qD0JmfzMthcwiWpcmpSnj55tnBp+nqms3lZhENMSYpc4vnw+lGoFCdKbgJpVgahHi5BkUMTHrJDJK7OTe7mvGxOfn1VucTy4F5AVrYEhyus9TGhyRfjoaZWjXz7HNA7nHioS2/xtuUQPoZTc16x3PiGktcRtc75Uj33jWP75m3GcIux5nqO8TzHeenMaMnNj8d9SaOaGlul+fbp43jU2IDwWiiecQ5Lx3jbioy8sVRwBcYlw1j9OkoGxtfJEEtFVoLqKUmOMDU5xeoqlXwXI5OhUydTkZp9ijihe04y3X7NTF2mv92i1UZZefxIJbQixSuPmZIdztx+vqBWgDns0+blE9GC5FZln9WOxeB4QnxNPGqo+PaVKprjreugF+oDNQmuugglM6LH8XNSeupPttdrrH6ubDmfXfbxsUsT0nM9L1xPPbZ4urnWYXkeC+95egPccHca3yPAeuXZ93MlN7S0aJ0LbypYpxyyys9zgIfw7xH8demXa+pI5+FZ1DOi6NOvi1LoideTW1euNFdKOKp7oLbVQ3UAbXxLvW1Ux/PSMyW79FNl33jFtWRSFup9wof814R0FEtz1aLpozqE+L5419khyIO1vmTVkj13UM59RrbCPlDy18taR7WreG5GTiGU65Dj+OYPSsVzSDzvzuNg3K3JJ1WKN8NlBflkJqQsm13SotbvQNthvbvadZc4Sb9hr+j11cyy9moJikhbRnMzxoJWXspoQ8PkLNdVvbW6tFG+Ga+phdl2KytVTW3t+2Jp/9/trE7+ZYf836aFcWTVzJfdqrGw39jO/7btvI2HuvVWFnRdX/UbW/q/akvX9UO2Hfl3YfSphvlGL9d5k6x0y1xH3zInd2+FxoFFDrLnPbVippaVKiv+ZoWsiC/GIr49rtfjZ6Krpncyx4zB+cSB3LVp7sQd6hUojt+6NM8g9rygeG5GrYPv4O0oOQX7oZK7keuRkwrqg0J0XMZ0iNuMNFpGvp+PJ4v3keK+aJxBsE9vyOxhok9i4e10aKlJAXk3pyf2FaJbpsa3d8vs3aSkYT7dYW4QTgrlK+aVvbYcPSa5REZG2Tl9kUuXeMrN+6JEKqFe5M93I7cpJ1K/k9O3ZTMS9GjFsk5XCVm1T5vmxMu64r3nA6pjPoEyV7irdu7gWM/p7Tm0SSc8j2X7UZk3KGvY5K96XqbIfnRMniGGoslfpVg3i1QuN7aPde2dk1qUW5s2tp5jXZ1eWfFziHMMDdGim06otpDSWhSlUC0VKbm8caLrEWXpUyvvklXyvr0ZjRky7Wd5xxBqN3yP+lVtvsOCT+S7/kekR9wN0dFlruNRzll/zoPPV8wIZd7NGTxpY/fVMe3cTfRsFM71XnhKOaTZtpnq63Uc0eyueqAeqr8GWn3I/bW3FDOdR7BJZT+Wfz/Ffn6bn71DOHw70oZ6nt/RWLePUN55lPJc3/Pmp7sdoFqlu53T9VMOyeuT2E/5gXpK44Ym2mCpjyN2FD+ku9d8lPGmuWPK1arckF9P9z7I8KBS95Ia2pEke6X4JmiRxr4N8AadIOR7F9AOZ42k61BaHBeT8zqc9vTMrev8lvkupMtnWpc9fQuQL/eF3hUZ2gt5QaXgnK+U7MudBulnSs5jyhj7gs5my4jaxAthKsUzQ+YkJZfBpinj9hDdi1w+n01zHr7zbKHK94m5LD2Gp9yJxPooUi1rOIbaToEe2y3vzS5LHE+dae/lJTe0ixRXcm4LKldcfe6piUV3BZA3I+1J/FvZBmK48rki+/OKpatLuq2rTndh+eQ3g8Z0e6Kx1jrbwtsXXa2hidcwPK8qMixyOytbbRzFe06atr6uvLYW3k1aL7P0Rz4KB9DX8I3HBxF9F+c0/RTeJVpsDeGxhlDZoDMXhw4aR0Eq93IqaAF9TalI5yii9Dw2LZ47cp/J9p9W7eR3reLtp8dUA7cb1+aekt9qMJ/wex89P0Xeuc1jWmnzPeuU75qOkDi+Maek8PzHHUp7CQ9b6bE+C56ov6pIYqPnNPJ4pW6pJPcp/jrgO6GkJ7XTVixKOL66GWVftnU9jrQmY0v+vJt53mcq7oZDRAjGvm2gSCFe2l0Y1bnpsfTxlA40nVDL3835FUdUE+L2OID+XNXdNfu5unL2hmIxPF8kvwBk/zrPhBDmNAvzLubHXwzClCFY8oji37lq9utNSIF38iBqi976etcP+4YxjZ4xQpM7IczvD/Hpc2xpOGvlP5uGp87HyjVLXP4tEp734bM5KCWfMzuEMo3prPtH2mMdRXiHEVEo345jc+jQHBPvLMCx8wP190Gqr0k37dLJrJD8j3NUUipD6AwEems+axDiZ5fmENqlja1ylduf1sB+dsDvNTs11dN6lRgifGL1tCC/8cXmFohj7a06ETVbd591zO817OXtvXr3S92N0SuACY1a9yp+xKYRQ2GuyvdHc/uYB0sltxiWkeFdhz1VvoOd66UXYZ0DGtcNSm2hKME9KvuqHsViTd/OIzof9Zd0/zT757Ngv/XSyo9vx9CLuM+8Fr+PmT2QaICj9rKV+tCXOnZcofGNK1bwY881uln8EY6r5Dc8yrGgq69yx25+uxgpOR9cvsnZd9JJVou2cg7uecSeMr+wyVT5LG+L0lKqbWOFPfqsz/4fv7u8Vv6l1+rLi/W7a6t31z5dX/753+lfgf2R+jP1F6CLNfWh+rl6BDZ5ADL9k/pX9e/qP87/8fxfzv/t/Jec9Yc/0Jg/VYX/zv/zfwC0uEjt
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
See also:
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Hellinger
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
Unbalanced
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
Balanced
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
AABE6HictVzdctu4FUa2P7tN/7LtZW+49aaT7aRZ291OO7PTmY0tx/HGSZxIdrIbJxlKohUltKiIkvKj9Tt0etPptFd9kT5HH6Az7VVfoecHIEAJ5AHdNBzbIIjvnIND4OCcAzDdcTrMp+vr/7jw3re+/Z3vvv/B9y5+/wc//NGPL334k6M8m016yWEvS7PJw26cJ+lwlBxOh9M0eTieJPFpN00edF9s4/MH82SSD7NRZ/pmnDw+jQej4cmwF0+h6uFWnMajXtJ/emlt/do6/YtWCxu6sKb0v4Psw4/+qY5VX2Wqp2bqVCVqpKZQTlWscrgeqQ21rsZQ91gtoG4CpSE9T9SZugjYGbRKoEUMtS/g9wDuHunaEdwjzZzQPeCSws8EkJG6DJgM2k2gjNwiej4jylhbRXtBNFG2N/C3q2mdQu1UPYNaCWdahuKwL1N1on5HfRhCn8ZUg73raSoz0gpKHjm9mgKFMdRhuQ/PJ1DuEdLoOSJMTn1H3cb0/F/UEmvxvqfbztS/ScrLcEWqrXufFRRiNSf6Eb3NGTxjeVLgPAAKie4jll6Rrk+p9yNov4D6O3CdUcnopAvXgmrPapHbcPmQ2yJyFy4fcldE7sPlQ+6LyAO4fMgDjUTshHTux7fh8uHbIud7cPmQ90Tkfbh8yPsi8gguH/JIRH4Nlw/5tYi8AZcPeUNE3oLLh7wlIjtw+ZAdEXkIlw95KCJ34PIhdzSyeqZO4MqIzlCYldehXOaBliKFmuuifFtkHX3YrYA53avAyrO6BX/92FaATpMK7E7AuDupwMojbxdspB8r26KbtJr4sDdF7B6MAD92T8R+qZ5XYL8MmGkvKrDyXNuHdn6sbH1vw50fe1vE3oGSHyuvUXehxo+9G7BijCuwByL2nnpZgQ2x+pMKrGz322BX/Fh5nepAez82xJrOKrCyPT0CD8aPlVerB1Drxz4QsQ/V6wrsQxH7FVh3P/argBX2bQXWrLEXaQUZkD+SwIytoxYXsxJLY6AWC/zTYm1JyTfuQr2EGRSYAWFORcRugdgNROwXiP1gufLCjubk78pc2gWiHYjoFmsTlqZi+37RHktpAKJVIFpLiDqPFN+16cucvAtTIyGnxcqFpZA+ZYX9xlKix0O95TWIuyUEj+1nNPKvUrSEERRqqo7as2KNZ2RE93WIVxS9mV4aHjJuWlgFF/VaRHU9qK6IeuNBvRFRMw9qJqLmHtRcRNmZ7+KOA0aA1T++iwXd8QhgH7n6isAruA6rzk2YoxGMnwPwAu9TzV3426bYW7rqJMNoHtdJzHI8LlniCZQWag3qbVTYovg6pRmWgGTc8q6O8fEOcxsLPefYCp8VK3lUZEzC6QxJnkFBB73FiOZTMzq3qOaMvDsuNcPfLOa9KTXD75DGz8iL51Iz/FRLPz2H7B2N7ZwD24bZNNbat+WmNDj/wjRM+SKtumhx8a2e6jGD9F43pL+n38zeOd7LNpVYP7bcjEbu9C8v9a8JDavn3NFzMyroPbHXa0pR456MdNxry01lyGgVHWk57F3TN4Nt+vrNmHIzGgfgcW1TzL1wyk1H77jojS03o3GkOO95Rp68KTejMaB71octN6OB2ZZYx/m23NSyowY4drblplZ9RFlgzAHxmOca6xVNyE+aaWpD8g/qszWuz7+6jmHO5kkRI9RTsr5tNZ1usZbVS2T8hQSs2rShHOhfzBwfrExjoTbF+IplmJbW91U6do1Hze+DFiOY/bwHIOXMU5DQ5CTQeqdAcUOMuso9M7hNEYej5GQJdaxrp6K3aPly1qhc95RqpbjM9tbq8ZjsdU5jb0w+4T5pVtLDfuUbrqIoaWi/pCGZXhPdvdXztaz9dRE3XkKMi5HWox0h3kmrj1N9Wm87Or6sd3mmcPGejx2/mG0+0dYGY56MbBHKUsfTbWfySG4drqtXlc1x87OI3ijaqzlZjSHtSOViFGqyxeyNL+je0j6kPTnkwTR68B4jTWWseNcMs+iYT4/Iorr2VuKN+jIZOi7nZHWNPa5HDxz0wINuHuNsw4pxB0odiBkO4a4TEOVcLHSVkcYn6lfF7mhGb7A+ok9LFtLQYHuTlCxkXZT9rETlFaBxNHCUHk5jmY7BH69QkqN+nzw2di1b/su0c2v2t2Ma49WjuToT0yeum8Q1olnDu7p8t8yBJVh4n2yS/1rfS+TXhCPaUInrE4cz62VEO/4JRbBj8oxTmm3S7Ci3dvNTy08MpwNl9s5xNzsjCxmR/YtgfcpoTEb0454dMDvobBFSspEhdmdYeDc+X2cojjHrxw0Vn2qw4y0hWzYj/oauO7tyGoscMfA6cLY0to1O9skXTIjrRFt3O7frVx9E2nMS7ihhinasXCH+n9Bv82PGydrKiEAN4xvIta3zvY+MYhbUUUyrfL0NMm1dKT8uZHiipbbrn5Xp45JkLYq4UB5crfvAuUf3zAtHyYTkzlfa8Dpal81FyuMlPWJvTyiKZ7s/0Cswyn2VVsk1mnPHNEoGMAqmRRRh2kpZ5GW+9bzK1MNo5/8X6lbXZa0hxUjZDC5rSMrvJxStuVKmMKp5/L6g2eTX+mSpVT2fEY3FU2cufwO1H8FvI7e5D6PTLVmFLRoDTMHeWY1wTbTSIozXVomXGZmGlr23/OyYNK3cmvPE12zdbIw9b0zlgEbNa521MOXz0Hju0HgeqMMO7TVaLZp6Y4meirFFR+9WhvJrwq3TgPJMpCx7ZAY1DJDSjaXCqPZFqnKMb1BvRVrrIq0YZqu7G+DO+RCkf64vz+5vitU9UjfIt+mRB8bxS59m6ZB8LlNbH6kxBeT8mbav7uw/phrk3iULipT5HCfOGN516tF1Vkj6C72yZWTnrUUw55Ze6TbGxh5T+dcryFOaEznNS4P4jFokWn5XjmjJIl1zfI6IMv8x+VTsd9THzG5r+06ikj9h402eVZYXRwoj0r+UedtbiV73nPg1ophwpr3rLtBq/oaRAmNMJsHvWeb0hnCV450E9mi7ZD9X7RTv4o0cia6R1Av1+wAbw1GvHevu2DI9Nn37JbRErdu37msh80uDOUr8zrOjF9Oqdqp91MXS/floxXqVK9/X6WG2xNfqY0Zt3MjCRnllzLH6PJgLS9SMC2NCuDTrRRP5m0neRGbenQqlbFobyuVMA9uYZxQvSedAEeHz7q54vblPhH50V+h1CetS4xqJEmbjMp0fcC0tZqWipQjJrZfWpNRZj6rWC8vDXTWsHWdLmZAVTJWUu+HWbh+OS9GKnI1hCj3FJ3ur4kSX5udw4e9I+aJEwzEkh9gGP/e62lY77+BUxEtd5sxmRDVoE/pLMXis+1luUa+jlw51l34Ih3AeQ9C1JP2QVtSmsjNlWXKXejj9V2QNJioRpbctm/fB5SL3ZJVTk/4MycLJvRkq801O074YDiE9KXMJ58P7G1IvTpT5tqlZHwx1uQdlDk14mPMMYe/ctm7Oy+VUr69VLqE8eB0wOy8GhzuA1TGLbRdioSbOG3n3HNA6nNRQN6vF/9oPw8dyas4rlFtO35w9D3jr3C7RmVn0i5vPGcstZDRXcwznmRW9s16Tnx/7f1GjN5U5vXn39NEvtWPA8FoozofK0jHeHUVW3lAquD/gkyFT/1F/vyB/lfCyoFElRxNKZr+impppIVMzX176emeehchk6VTJVKZm44k2nYzdVnvqBvxsFx5g01Oi/E0l/0Ws/zvaPtSekPUw2XTOIBxTXUJZELub1qd7e462SmI808tnfDtQg3vi+1SL533vUHs889sp9a36SxKe67dVpvqlyGR5l8/Oqy70oLwDx7kg871vRGfqOZvFJ9BOA/YY+RwVR0rm6+cFIfoUFy5LuiCEGS11lLteyl06k5RU0O6W+tajET7WO/2474Dn8+MiuxSpT6ku1qsDrtSSVAceqR5RZqBL+l+HCO036ir8varLfkkPViTN6R2UJXrtPKs/CXbmHRf2a8bLlAczmbq5bpdRVG93D+szsa1KLnzivR4/qMEPHCnb9LZeUNw9UfW5w1kNzZmWyd3PHSmT92Q9YDQbF+OjPn6e1/CaB/T/ViX6liPpLsjSpWx7RPt5E6KXat3skPR8rrI+b3uzRlrz1SbTtCcr7TgwZyTr9wRSPe6qZz+fg5RyNUkFHXeu84lM6bTI0EtJnp/jgNMQcUBv5b6G9FSiMhMlmQV8iTwPkGUeQOdEkOZEpDAQJdH24emltY3l/+tjtXC0eW1j/drGvc21L7b0/wPygfqZ+rm6Amvfb9UXMP4P1CH5DH9Uf1F/bT1v/aH1p9afuel7FzTmp6r0r/W3/wJpaUKq
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⌧ ! +1
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
UOT(↵, )
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
For (s) = sp
, UOT1/p
is a distance.
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
Theorem:
AABFL3ictVxtc9u4EUaub9f0Ldd+7Bde7XScjs9nu+nLzM3NXGI5ji9O4kSyk7soyVASpTChRUWU5CQ6/ahOf0B/Rue+dDrtdKb3qX+huwuAACWQC7rXcGyDIJ7dxRJY7C7AdEZJnE22t7++9N53vvu97//g/R9e/tGPf/LTn1354OenWTodd6OTbpqk48edMIuSeBidTOJJEj0ejaPwrJNEjzqv9vD5o1k0zuJ02Jq8HUVPz8LBMO7H3XACVc+v3L2VjoP19kG4kV379KN2kg422t0028iC9nnUG0RBuz8Ou/P2KF7MdxfXnu1eW98MTu631p/Ndz7eXawHcRYEgyjtRVnc3Xp+ZW17a5v+BauFHVVYE+rfcfrBh/8SbdETqeiKqTgTkRiKCZQTEYoMridiR2yLEdQ9FXOoG0MppueRWIjLgJ1CqwhahFD7Cn4P4O6Jqh3CPdLMCN0FLgn8jAEZiKuASaHdGMrILaDnU6KMtWW050QTZXsLfzuK1hnUTsQLqOVwuqUvDvsyEX3xR+pDDH0aUQ32rquoTEkrKHlg9WoCFEZQh+UePB9DuUtIreeAMBn1HXUb0vN/U0usxfuuajsV35CUV+EKRFP1Ps0phGJG9AN6m1N4JuVJgPMAKESqj1g6J12fUe+H0H4O9ffgWlBJ66QD15xqF5XIPbhcyD0WeQCXC3nAIo/gciGPWOQxXC7ksUIidkw6d+ObcLnwTZbzA7hcyAcs8iFcLuRDFnkKlwt5yiK/hMuF/JJF3oLLhbzFIu/A5ULeYZEtuFzIFos8gcuFPGGR+3C5kPsKWT5Tx3ClRCdmZuUNKBd5oKVIoOYGK99Nso4u7E2POd0twfKzugF/3diGh06jEuy+x7jrl2D5kXcANtKN5W3RbVpNXNjbLPYQRoAbe8hiPxcvS7Cfe8y0VyVYfq4dQTs3lre+d+HOjb3LYu9ByY3l16j7UOPG3vdYMUYl2GMW+0C8LsH6WP1xCZa3+02wK24sv061oL0b62NNpyVY3p6eggfjxvKr1SOodWMfsdjH4k0J9jGL/QKsuxv7hccK+64Eq9fYy7SCDMgfiWDGVlEL81mJpRFQCxn+Sb62JOQbd6CewwxyzIAwZyziIEcceCKOcsSRt1xZbkcz8nd5Ls0c0fREdPK1CUsTtn0vb4+lxAPRyBGNJUSVR4rvWvdlRt6FruGQk3zlwpJPn9LcfmMpUuOh2vJqxP0CQo7tFzTyNylawggKNVVF7UW+xktkQPdViHOK3nQvNQ8eN8mtgo16w6I6DlSHRb11oN6yqKkDNWVRMwdqxqLMzLdxbY8RYPSP72JOd3IESB+5/ArAK7gBq85tmKMBjJ9j8AIfUs19+Nuk2Ju7qiTDaB7XScxyPC1Y4jGU5mIN6k1U2KD4OqEZFoFksuV9FePjHeY25mrOSSu8yFfyIM+Y+NOJSZ5BTge9xYDmUz06d6hmQd6dLNXD387nvS7Vw++TxhfkxctSPfxEST+5gOwthW1dANuE2TRS2jflujRk/kXS0OXLtOqixcW3eqbGDNJ7U5P+oXozhxd4L3tUkvox5Xo0Mqt/WaF/dWgYPWeWnutRQe9Jer26FNTuyVDFvaZcV4aUVtGhksPc1X0z2Kan3owu16NxDB7XHsXcc6tcd/SO8t6Ycj0ap0LmPRfkyetyPRoDupf6MOV6NDDbEqo435TrWnbUgIydTbmuVR9SFhhzQHLMyxrjFY3JT5oqajH5B9XZGtvnX13HMGfzLI8RqikZ37acTidfy6ol0v5CBFZtUlMO9C+mlg9WpDEXu2x8JWWYFNb3VTpmjUfNH4EWA5j9cg+Ay5knIKHOSaD1ToDiDht1FXumcbssDkdJfwnVVrUT1ls0fGXWqFj3nGq5uMz01uixTfY6o7E3Ip/wiDTL6eGo9A2XUeQ0dFTQEE+vju7eqfla1P42ixstIUb5SOvSjpDcSauOU11ab1o6vqp2eSZwyT0fM34x29xX1gZjnpRsEcpSxdNup/NIdh2uq5vC5Ljls4DeKNqrGVmNmHakMjYK1dli6Y3P6d7QPqE9OeQhaXThPQaKykjIXTPMomM+PSCLattbjjfqS2foZDkjq6vtcTV6YKEHDnT9GGcPVox7UGpBzHACdy2PKOdyrquUND4WH+W7oym9weqIPilYSE1D2puoYCGrouwXBSrngMbRIKN0fxrLdDS+vUKJj/pd8pjYtWj5r9LOrd7fDmmMl4/m8kxMj7juEteAZo3c1ZV3yxykBHPnk13yX6t7ifzqcEQbynF9ZnGWehnSjn9EEeyIPOOEZhs3O4qt7fzU8hPN6VjovXPczU7JQgZk/wJYn1IakwH92GcH9A66tAgJ2UgfuxPn3o3L14nZMWb8uFjIUw1mvEVky6bEX9O1Z1dGY1FGDHIdWCyNba2TI/IFI+I6VtbdzO3q1QeR5pyEPUokRTNWNoj/Nfqtf/Q4WVsZEahhfAOZsnWu95FSzII6CmmVr7ZBuq0t5XouwzMltVn/jEzrBckaFHGhPLha94Bzl+4lLxwlY5I7W2kj19GqbC5SHi3pEXvbpyhe2v2BWoFR7k1aJddozrVplAxgFEzyKEK35bLIy3yreRWp+9HO/i/Uja6LWkOKgTAZXKkhLr8fUbRmS5nAqJbj9xXNJrfWx0utqvkMaSyeWXP5K6j9EH5rufW9H51OwSrcpDEgKZg7oxFZE6y08ON1s8BLj0xNy9wbfmZM6lZ2zUXia2ndTIw9q03lmEbNG5W10OWL0Hhp0XjpqcMW7TUaLep6bYmes7FFS+1W+vKrw61Vg/KUpcx7ZBoVe0hpx1J+VHssVT7G16h3LK1tllYIs9XeDbDnvA/SPdeXZ/dX+eoeiFvk23TJA5PxS49maUw+l66tjtQkBeR8XdlXe/a3qQa5d8iCImV5jhNnjNx16tK1yCX9tVrZUrLzxiLoc0vnqo22sW0q/3YFeUZzIqN5qRHXqUWk5LflCJYs0pblcwSU+Q/Jp5J+R3XMbLc27yQo+BMm3pSzyvCSkcKQ9M9l3g5XotdDK34NKCacKu+6A7Tqv2GkIDE6k+D2LDN6Q7jKyZ0E6dF2yH6u2im5ize0JNoiqefiUw8bI6NeM9btsaV7rPv2G2iJWjdv3dWC55d4c+T4XWRHL6RV7Uz5qPOl+4vRCtUqV7yv0sN0ia/Rx5Ta2JGFifKKmLb4xJuLlKgeF4nx4VKvF3Xkryd5HZnl7pQvZd1aUy5mGqSNeUHxEncOFBEu727D6c1dY/rRWaHXIaxNTdZwlDAbl6r8gG1pMSsVLEVIdj23JiXWelS2Xhge9qph7Li0lBFZwURwuRvZ2u5DuxCt8NkYSaEr5MnesjjRpvkJXPg7EK4oUXP0ySE2wc+9IfbE/rdwKuK1KsvMZkA1aBN6SzF4qPpZbFGto9cWdZu+Dwd/HjHompM+phW1ruySMi+5Td2f/jlZg7GIWOlNy/p9sLnwPVnlVKc/MVk4vjex0N/k1O2L5uDTkyIXfz5yf4PrRV/ob5vq9UFT53tQ5FCHhz7P4PfOTev6vGxO1fpa5eLLQ64DeudF43AHsDxmMe18LNTYeiPfPge0Dv0K6nq1+F/7ofkYTvV5+XLL6Juzlx5vXbaLVGYW/eL6c8Zw8xnN5Rz9eaZ574zX5OYn/b+g1ptKrd58+/TRLzVjQPOaC5kP5aWTeHsUGXl9qeD+gEuGVPxH/OUS/1XC65xGmRx1KOn9inJqugVPTX956eqdfuYjk6FTJlORmoknmnQydk8cilvws5d7gHVPicpvKuVfxLq/o+1BbZ+sh86mywxCm+oiyoKY3bQe3ZtztGUS45leeca3BTW4J35EtXje9x61xzO/rULfyr8kkXP9rkhFrxCZLO/ymXnVgR4Ud+BkLkh/7xvQmXqZzZIn0M489hjlOSoZKemvn+eE6FFcuCzpnBB6tFRR7jgpd+hMUlRCu1PoW5dG+Ejt9OO+A57PD/PsUiA+prpQrQ64UnNSHTukekKZgQ7pfxsitN+JTfi7qcpuSY9XJM3oHRQlemM9qz4JtnCOC/M141XKg+lM3Uy1SymqN7uH1ZnYRikXeeK9Gj+owA8sKZv0tl5R3D0W1bnDaQXNqZLJ3s8dCp33lHrAaDbMx0d1/Dyr4DXz6P+dUvQdS9IDkKVD2faA9vPGRC9Rutkn6eW5yuq87e0KafVXm5KmOVlpxoE+I1m9J5CocVc+++U5SC5XE5XQsee6PJHJnRaJnZT4+TnyOA0RevSW76tPTzkqU1aSqceXyDMPWWYedPqMNH2WwoCVRNmH51fWdpb/r4/Vwunu1s7vt64/2F377Kb6f0DeF78UvxIbsPb9QXwG4/9YnACnP4uvxT/EPxt/avy18bfG32XT9y4pzC9E4V/jm/8CQIFbSQ==
For (s) = log(cos(s ^ ⇡
2 )2
), UOT1/2
is geodesic.
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
min
P>0
P
i,j
(d(xi, yj))Pi,j + ⌧ KL(P1|a) + ⌧ KL(P>1|b)
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
UOT(↵, )
def.
=