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Optimal transport map in $\mathbb{R}^n$ with any norm

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#real-analysis #geometry #normed-spaces #differential #optimal-transport
47
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Derivative of sequence of measures

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#real-analysis #probability-theory #measure-theory #distribution-theory #optimal-transport
301
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Optimal Transport between two Gaussians

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#normal-distribution #optimal-transport #wasserstein
69
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Integration with product measure

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#measure-theory #dirac-delta #optimal-transport
90
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Compute functional from its first variation

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#calculus-of-variations #entropy #optimal-transport
71
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Reference request: relationship between c-convexity and geodesic convexity on manifolds

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#differential-geometry #convex-analysis #riemannian-geometry #optimal-transport
114
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Scaling property of the Wasserstein metric

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#functional-analysis #lipschitz-functions #optimal-transport #wasserstein
97
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Question on Conditional Probabilities, Joint Probabilities and Optimal Transport Distances

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#probability #measure-theory #optimal-transport
91
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I have a question about wasserstein distance

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#optimal-transport
404
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Wasserstein distance inequality

Published on
#measure-theory #probability-distributions #lebesgue-integral #optimal-transport #wasserstein
167
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Does set-wise convergence of probability measures imply convergence of moments?

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#real-analysis #probability-theory #measure-theory #optimal-transport
82
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Does the reverse triangle inequality holds for Wasserstein-1 distance?

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#optimal-transport #triangle-inequality #wasserstein
84
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Class of transport maps is not closed in space of all measurable maps?

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#functional-analysis #measure-theory #weak-topology #optimal-transport
99
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Relationship between optimal transport and gaussian kernel

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#manifolds #normal-distribution #heat-equation #optimal-transport #wasserstein
31
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optimal transport on marginals

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#real-analysis #probability-distributions #optimal-transport #marginal-distribution

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