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• W2967004257 abstract "We consider the problem of optimal transport where the cost function is given by a (mathcal {D}^{(alpha )}_varPsi )-divergence for some convex function (varPsi ) [21], where (alpha = pm 1) gives the Bregman divergence. For costs of this form, we introduce a new complex geometric interpretation of the optimal transport problem by considering an induced Sasaki metric on the tangent bundle of the domain of (varPsi ). In this framework, the Ma-Trudinger-Wang (MTW) tensor [12] is proportional to the orthogonal bisectional curvature. This geometric framework for optimal transport is complementary to the pseudo-Riemannian approach of Kim and McCann [10]." @default.
• W2967004257 created "2019-08-22" @default.
• W2967004257 creator A5016117641 @default.
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• W2967004257 date "2019-01-01" @default.
• W2967004257 modified "2023-10-07" @default.
• W2967004257 title "Hessian Curvature and Optimal Transport" @default.
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• W2967004257 doi "https://doi.org/10.1007/978-3-030-26980-7_44" @default.
• W2967004257 hasPublicationYear "2019" @default.
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