sha1_base64="OIvAMZ30f1Hst1b7I9ROaJAFG3Y=">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</latexit> ||⇠||2 dp def. = R X2 d(x, y)pd⇠(x)d⇠(y) <latexit 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<latexit 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Sinkhorn Divergences " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not all us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structu of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gauss sample, the positions of the red dots that make up a model distribution ↵ optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, These registrations are performed in the unit square, with an Earth Move cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 " > 0 : in general, there exists a measure di↵ering from such that OT" ( , ) < OT" ( , ). (2) Consequently, minimizing the cost OT" (↵, ) with respect to ↵ does not allow us to recover ↵ = , but rather drives ↵ towards a “median axis”-like structure of "-localized Fr´ echet means constructed from [FCVP17] – see Figure 1. (a) " = 0.01. (b) " = 0.10. (c) " = 1.00. Figure 1: Entropic bias in the OT" loss. Starting from an arbitrary Gaussian sample, the positions of the red dots that make up a model distribution ↵ are optimized to fit an empirical distribution (in blue) as we minimize OT" (↵, ). These registrations are performed in the unit square, with an Earth Mover’s cost C(x, y) = kx yk. 5 Problem: <latexit 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<latexit 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<latexit 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min ↵ Wp ",p (↵, ) <latexit 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<latexit 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<latexit sha1_base64="04xOFucC5Ut2/g96/R1TregIzEs=">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</latexit> W"(↵, ↵) 6= 0 <latexit 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<latexit 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<latexit 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Arthur Gretton Proposition: || · || ||·||p is a norm for 0 < p < 2. <latexit 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<latexit 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<latexit 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Wp ",p (↵, ) def. = min ⇡1=↵,⇡2= Z X2 dp(x, y)d⇡(x, y) + "KL(⇡|⇠) <latexit 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<latexit 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Wp p (↵, ) <latexit 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</latexit> <latexit 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</latexit> <latexit 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</latexit> <latexit 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" ! +1 <latexit 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It6RhR9+nVRCj3xenLrypXmSglHdY/UlnqsDqCNb6q3jep4XnqmZJd+quwbr7iWTMpCvU/4kP+akI5iaa5aNH1UhxDfF+86OwR5sNaXrFqy5w7Kuc/IVtgHSv56WeuodhXPzcgphHIdchzf/EGpeA6J5915HIy7NfmkSvFmuKwgn8yElGWzS1rU+h1oO6x3V7vuEifpN+wVvb6aWdZeLUERactobsZY0MpLGW1omJzluqq3Vpc2yjfjNbUw225lpaqprX1fLO3/u53Vyb/skP/btDCOrJr5sls1FvYr2/nftp238VC33sqCruurfmVL/1dt6bp+yLYj/y6MPtUw3+jlOm+SlW6Z6+hb5uTurdA4sMhB9rynVszUslJlxd+skBXxxVjEt8f1evxMdNX0TuaYMTifOJC7Ns2duEO9AsXxW5fmGcSeFxTPzah18B28HSWnYD9QcjdyPXJSQd0vRMdlTIe4zUijZeT7+XiyeB8p7ovGGQT79IbMHib6JBbeToeWmhSQd3N6Yl8humVqfHu3zN5NShrm0x3mBuGkUL5iXtlry9FjkktkZJSd0xe5dImn3LwvSqQS6kX+fDdym3Ii9Ts5fVs2I0GPVizrdJWQVfu0aU683FO893xAdcwnUOYKd9XOHRzrOb09hzbphOexbD8q8wZlDZv8Vc/LFNmPjskzxFA0+asU62aRyuXG9nFPe+ekFuXWpo2t51hXp1dW/BziHENDtOimE6otpLQWRSlUS0VKLm+c6HpEWfrUyrtklbxvb0Zjhkz7Wd4xhNoN36N+VZvvsOAT+a7/EekRd0N0dJnreJRz1p/z4PMVM0KZd3MGT9rYQ3VMO3cTPRuFc70XnlIOabZtpvp6HUc0u6seqcfqz4FWH3J/7S3FTOcRbFLZj+XfT7Gf3+Zn7xAO3460rp7ndzTW7SOUdx6lPNf3vPnpbgWoVulu5XT9lEPy+iT2U36kntG4oYk2WOrjiB3Fj+nuNR9lvGnumHK1Kjfk19N9CDI8qtS9pIZ2JMleKb4JWqSxbwO8QScI+d4FtMNZI+k6lBbHxeS8Dqc9PXPrOr9lvgvpckfrsqdvAfLlvtC7IkN7IS+oFJzzlZJ9udMg/UzJeUwZY1/Q2WwZUZt4IUyleGbInKTkMtg0ZdweonuRy+ezac7Dd54tVPk+MZelx/CUO5FYH0WqZQ3HUNsu0GO75b3ZZYnjqTPtvbzkhnaR4krObUHliqvPPTWx6K4A8makPYl/K9tADFc+V2R/XrF0dUm3ddXpLiyf/GbQmG5PNNZaZ1t4+6KrNTTxGobnVUWGRW5nZauNo/jASdPW15XX1sK7Setllv7IR+EA+hq+8fggou/inKafwrtEi60hPNYQKut05uLQQeMoSOVBTgUtoK8pFekcRZSex6bFc0fuM9n+06qd/K5VvP30mGrgduPa3FPyWw3mE37vo+enyDu3eUwrbb5nnfJd0xESxzfmlBSe/7hDaS/hYSs91mfBE/XTiiQ2ek4jj1fqlkpyn+KvA74TSnpSO23FooTjq5tR9mVb19NIazK25M+7kefdUXE3HCJCMPZtA0UK8dLuwqjOTY+lj6d0oOmEWv5uzq84opoQt6cB9Oeq7q7Zz9WVszcUi+H5IvkFIPvXeSaEMKdZmHcxP/5iEKYMwZJHFP/OVbNfb0IKvJMHUZv01te7ftg3jGn0jBGa3Alhfn+IT59jS8NZK//ZNDx1PlauWeLyb5HwvA+fzUEp+ZzZIZRpTGfdP9Qe6yjCO4yIQvl2HJtDh+aYeGcBjp0fqb8JUn1NummXTmaF5H+ao5JSGUJnINBb81mDED+7NIfQLm1slavc/rQG9rMNfq/Zqame1qvEEOETq6cF+Y0vNrdAHGtv1Ymo2br7rGN+r2Evb+/Vu1/qboxeAUxo1LpX8SM2jRgKc1W+P5rbxzxYKrnFsIwM7zrsqfId7FwvvQjrHNC4blBqC0UJHlDZV/UoFmv6dh7R+ai/pPun2T+fBfutl1Z+fDuGXsR95rX4fczsgUQDHLWXrdSHvtSx4wqNb1yxgh97rtHN4o9wXCW/4VGOBV19lTt289vFSMn54PJNzr6TTrJatJlzcM8j9pT5hU2mymd5W5SWUm0bK+zRZ332//jd5bXyL71WX17cu7u2enft0/vLP/9r/SuwP1J/pP4UdLGmPlA/V0/AJg9Apr9X/6j+Vf3b+d+d/8P5P5//C2f94Q805g9V4b/zf/8frhtERQ==</latexit> 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</latexit> 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Wp ",p (↵, ) <latexit 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||↵ ||2 dp <latexit 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<latexit 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wCP4d8T+OvSL9fUic7Ds6gXRNGnXxel0BOvJ7euXGmulHBU90jtqMfqCNr4tnrbqI7npadKdumnyr7ximvJpMzV+4QP+a8R6SiW5qpF00e1D/F9/q6zY5AHa33JqiV77qCY+4JshX2g5K+WtYpqW/HcjJxCKNYhx/H1H5SK55B43p3Hwbhbk0+q5G+Gm+Tkk5mQomx2SfNavwdth/Xuatdt4iT9hr2i11VTy9rLJcgjbRnNzRhzWnkpog0Nk7NYV9XW6tJG8Wa8uhZm262sVNW1te+Lpf1/t7Mq+Zcd8n+bFsaRVT1fdqfCwn5tO//btvM2HurOW1nQTX3Vr23p/6ot3dQP2Xbk34XRpRrmG71c500mhVvmWvqWObl7KzQOzHOQPe+pFTM1rFRZ8TcrZHl8Phbx7XG9GT8TXdW9kzlmDM4nDuSuTXMnbl+vQHH81qZ5BrHnOcVzU2odfAdvS8kp2A+U3I1cjRyVUA9y0XER0yJuU9JoEfl+Np7M30eK+6JxBsE+vSGzh4k+iYW306GlJjnk/Yye2FeIbpEa394ts3ejgob5dIe5QTjJlS+fV/bacvSYZBIZGWXn9FUmXeIpN++LEqmEep4/343cpJxI/V5G35bNSNChFcsqXSVk1T5tmhMv64r3nveojvkEykzhrtqZg2M1p7fn0CSd8DyW7Udl3qCoYZO/7HmZIvvRIXmGGIomf5li1SxSsdzYPta1d04qUW5t2thqjlV1urDi5xDnGBqiRTedUG0hpbUoSqFaylNyeeNE1yPK0qVW3iar5H17UxozTLSf5R1DqN3wPeqLynzHOZ/Id/0PSI+4G6Kly1zFo5iz+pwHn6+YEsq8mzN40sa21Cnt3E30bBTO9V55Stmn2bap6up1HNHsvnqkHqu/BFpdyP21txRTnUewSWk/ln8/xWF2m5+9Qzh8O9KGep7d0Vi1j1DeeZTyXN/z5qe7E6BapruT0fVTDsnrk9hP+ZF6RuOGOtpgqU8jdhQ/prvXfJTxprlTytUo3ZBfTXcLZHhUqntJDe1Ikr1SfBO0SGPfBniLThDyvQtoh9Na0rUoLY6LyXkTTgd65tZ1fst8F9LlntZlR98C5Mt9pXdFhvZCXlEpOOcrJftyx0H6EyXnMWWMfUVns2VEbeKFMJX8mSFzkpLLYNOUcXuI7lUmn8+mOQ/feTZXxfvEXJYew1PuRGJ95KkWNRxDbTdHj+2W92YXJY6nzrQPspIb2nmKKxm3OZUrrj4P1MiiuwLI25H2JP6taAMxXPlckf15xdLVNd3WVaW7sHzym0FDuj3RWGuVbeHti67WUMdrGJ6LkgzzzM6KVhtH8aGTpq2vhdfWwrtJq2WW/shH4Qj6Gr7x+Cii7+Kcpp/Cu0TzrSE81hAqG3Tm4thB4yRI5WFGBS2gqynl6ZxElJ7HpvlzR+4z2f7Tqq3srlW8/fSUauBu7do8UPJbDeYTfu+j56fIO7d5TCttvmOd8l3TERLHN+aUFJ7/uEdpL+FhKz3VZ8ET9RclSWz0jEYer9QdlWQ+xV8HfCeU9KR22opFCcdXt6Psy7aup5HWZGzJn3czy7un4m44RIRg7NsG8hTipd2HUZ2bHksfT+lI0wm1/P2MX35ENSJuTwPoz1XVXbOfq4WzNxSL4fki+QUg+9d5RoQwp1mYdz4//mIQpvTBkgcU/85UvV9vQgq8kwdR2/TW1bt+2DcMafSMEZrcCWF+f4hPn2NLw1kr/9k0PHU+VK5Z4uJvkfC8D5/NQSn5nNkxlGlIZ90/1B7rJMI7DIhC8XYcm0OL5ph4ZwGOnR+pvw1SfU26aRZOZoXkf5qhkkIZQmcg0FvzWYMQP7s0x9AubWyZq9z+tAb2swt+r96pqY7Wq8QQ4ROr5zn5jS82t0Ccam/ViqjZqvusY36v4SBr7+W7X6pujF4BTGjUelDyIzaNGAozVbw/mtvHLFgqucWwiAzvOuyo4h3sXC+dCOvs0biuV2gLeQkeUtlX9SgWa/puFtH5qL+k+6fZP18E+62XVn58O4VexH3mNf99zOyBRAMctRet1Ie+1rHjCo1vXLGCH3up0fXij3BcJb/hUYwFXX2VO3bz28VAyfng4k3OvpNOslq0nXFwzyN2lPmFTabKZ3kblJZSbRsr7NBnffb/9N3lteIvvZZfXqzfX1u9v/bpg+Wf/43+FdgfqT9Rfwa6WFMfqJ+rJ2CTRyDTP6h/Uf+u/uPy7y//+fJfL/+Ns/7wBxrzxyr33+V//g+zBk+l</latexit> [Ramdas, Garc´ ıa Trillos, <latexit 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<latexit 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<latexit 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Cuturi, 2017] <latexit 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<latexit 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<latexit 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<latexit 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<latexit 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[Carlier et al 2017] <latexit 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<latexit 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<latexit 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[L´ eonard 2012] <latexit 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<latexit 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<latexit sha1_base64="FktZ8qWo0YQDE1fIVBPQAYcO+ow=">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</latexit> Theorem: <latexit 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<latexit 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<latexit sha1_base64="SpoJyWCLZt0uGDg27y4FVNG5tpA=">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</latexit> Wp p," (↵, ) def. = Wp p," (↵, ) 1 2 Wp p," (↵, ↵) 1 2 Wp p," ( , ) <latexit 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</latexit> <latexit 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</latexit> 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</latexit> [Ramdas, Garc´ ıa Trillos, <latexit 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<latexit 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<latexit 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Cuturi, 2017] <latexit 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<latexit 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<latexit 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<latexit 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