List questions from optimal-transport

Published on 30 Jan 2021 - 2:42

373

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Is the Kantorovich duality only for 1-Wasserstein?

Published on 31 Jan 2021 - 15:26

217

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Understanding the different versions of Kantorovich-Rubinstein Duality

Published on 02 Feb 2021 - 15:51

31

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Is $\mathcal P_1(X)$ a necessary condition for the Kantorovich-Rubinstein Duality?

Published on 03 Feb 2021 - 14:38

472

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Optimal transport as a metric between two color images

Published on 11 Feb 2021 - 9:25

423

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Motivation Behind c-Convexity in Optimal Transport

Published on 21 Feb 2021 - 0:42

258

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points matching minimizing sum of square distances

Published on 27 Feb 2021 - 13:31

78

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$W^1(μ,\frac{δ_{x_0}+δ_{x_1}}{2})=\frac{1}{2}(∫d(x_0,y)μ(dy)+∫d(x_1,y)μ(dy))$?

Published on 17 Mar 2021 - 18:13

733

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c-concavity and c-transform

Published on 23 Mar 2021 - 19:15

133

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Optimal transport, interpretation of the plan $\mu\otimes\nu$.

Published on 05 Apr 2021 - 23:53

484

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Simple bounds of the Wasserstein distance

Published on 06 Apr 2021 - 23:30

37

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Holder-type inequality or not (optimal transport in Riemannian manifolds)?

Published on 11 Apr 2021 - 13:51

60

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$W_p^p\left(\sum\limits_{k=1}^n \mu_k,\sum\limits_{k=1}^n\nu_k\right)\le \sum\limits_{k=1}^n W_p^p\left(\mu_k,\nu_k\right)$?

Published on 14 Apr 2021 - 12:30

71

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Solution of discrete step of minimizing movement for Porous Media Equation has compact support

Published on 15 Apr 2021 - 11:29

178

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Convergence of second moment implies 2-uniform integrability

Published on 26 Apr 2021 - 10:50

List Question

Dual problem for Prokhorov metric

Is the Kantorovich duality only for 1-Wasserstein?

Understanding the different versions of Kantorovich-Rubinstein Duality

Is $\mathcal P_1(X)$ a necessary condition for the Kantorovich-Rubinstein Duality?

Optimal transport as a metric between two color images

Motivation Behind c-Convexity in Optimal Transport

points matching minimizing sum of square distances

$W^1(μ,\frac{δ_{x_0}+δ_{x_1}}{2})=\frac{1}{2}(∫d(x_0,y)μ(dy)+∫d(x_1,y)μ(dy))$?

c-concavity and c-transform

Optimal transport, interpretation of the plan $\mu\otimes\nu$.

Simple bounds of the Wasserstein distance

Holder-type inequality or not (optimal transport in Riemannian manifolds)?

$W_p^p\left(\sum\limits_{k=1}^n \mu_k,\sum\limits_{k=1}^n\nu_k\right)\le \sum\limits_{k=1}^n W_p^p\left(\mu_k,\nu_k\right)$?

Solution of discrete step of minimizing movement for Porous Media Equation has compact support

Convergence of second moment implies 2-uniform integrability

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