List questions from optimal-transport

Published on 09 Mar 2022 - 5:39

433

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Optimal Transport and Entropic Regularization

Published on 22 Mar 2022 - 7:01

58

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Optimal transport map between Lebesgue and Borel measures

Published on 28 Mar 2022 - 16:51

103

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2-Wasserstein barycenter of uniform distribution on ellipsoid

Published on 23 Feb 2026 - 10:19

25

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Optimal Transport and Domain Adapation

Published on 05 Apr 2022 - 17:30

32

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Continuity of Parabolic Evolution Equation

Published on 06 Apr 2022 - 15:33

228

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Existence of joint optimal coupling

Published on 06 Apr 2022 - 16:56

120

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Calculating the limit of a Wasserstein distance of two SDE's

Published on 23 Feb 2026 - 12:08

143

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Let $X,Y$ be Polish spaces and $\mu, \nu$ Borel probability measures on $X,Y$. Then the coupling $\Pi(\mu, \nu)$ is uniformly tight and weak* closed

Published on 23 Feb 2026 - 10:22

23

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Topology on the set of transport maps

Published on 06 May 2022 - 19:11

1k

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A proof of Kantorovich duality

Published on 12 May 2022 - 16:52

171

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Question on Kantorovich-Rubinstein Duality proof

Published on 23 Feb 2026 - 12:01

79

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The projection of n-joint distribution onto 2-joint distribution

Published on 17 May 2022 - 1:36

46

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If $c_n \nearrow c$ then $\lim_n \inf_{\pi \in \Pi(\mu, \nu)} \int c_n d\pi = \inf_{\pi \in \Pi(\mu, \nu)} \int c d\pi$

Published on 23 Feb 2026 - 12:09

172

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Construct the $c$-transform $(\overline \varphi, \overline \psi)$ of $(\varphi, \psi)$

Published on 17 May 2022 - 18:10

List Question

Comparison between $L^1$ Wasserstein distance and total variation distance

Optimal Transport and Entropic Regularization

Optimal transport map between Lebesgue and Borel measures

2-Wasserstein barycenter of uniform distribution on ellipsoid

Optimal Transport and Domain Adapation

Continuity of Parabolic Evolution Equation

Existence of joint optimal coupling

Calculating the limit of a Wasserstein distance of two SDE's

Let $X,Y$ be Polish spaces and $\mu, \nu$ Borel probability measures on $X,Y$. Then the coupling $\Pi(\mu, \nu)$ is uniformly tight and weak* closed

Topology on the set of transport maps

A proof of Kantorovich duality

Question on Kantorovich-Rubinstein Duality proof

The projection of n-joint distribution onto 2-joint distribution

If $c_n \nearrow c$ then $\lim_n \inf_{\pi \in \Pi(\mu, \nu)} \int c_n d\pi = \inf_{\pi \in \Pi(\mu, \nu)} \int c d\pi$

Construct the $c$-transform $(\overline \varphi, \overline \psi)$ of $(\varphi, \psi)$

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