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 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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<latexit 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" > 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 sha1_base64="4NYv/0KG4ajqp7qRl0BSlmTG76Y=">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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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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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</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> <latexit sha1_base64="MlLd/zUeVzbSgV3WYCjWVJMMZuc=">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</latexit> Theorem: [Genevay, P, Cuturi, 2017] <latexit sha1_base64="S6neu/pbqziddYWFY49jSDHFJFY=">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</latexit> <latexit 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</latexit> <latexit 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</latexit> <latexit sha1_base64="S6neu/pbqziddYWFY49jSDHFJFY=">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</latexit> Arthur Gretton Proposition: || · || ||·||p is a norm for 0 < p < 2. <latexit 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<latexit 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