List questions from optimal-transport

Published on 09 Nov 2021 - 11:45

201

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Change of variables - Wasserstein distance

Published on 23 Feb 2026 - 10:18

118

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How to prove the limit of minimizing sequence of measures is again absolutely continuous(w.r.t. Lebesgue) in the minimizing movement scheme?

Published on 24 Feb 2026 - 9:54

201

Views

Energy Distance between Multivariate Gaussian Distributions

Published on 23 Feb 2026 - 13:40

33

Views

unique optimal plan in $\Gamma_o(\gamma,\nu)$?

Published on 08 Dec 2021 - 17:55

96

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Optimal transport on product spaces

Published on 10 Dec 2021 - 18:52

45

Views

how to build mathematic formulation for time violation?

Published on 27 Dec 2021 - 12:12

133

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Maximiser of $W_1(\mu, \nu)$ can be changed outside of $\text{conv}(\text{supp}(\mu) \cap \text{supp}(\nu))$ (under additional assumptions)

Published on 23 Feb 2026 - 10:21

24

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Sufficient condition for convex conjugates (does one imply the other?)

Published on 12 Jan 2022 - 16:46

410

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Transshipment problem with unbalanced demand and supply

Published on 13 Jan 2022 - 11:22

156

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Pushforward of a measure under a given flow

Published on 15 Jan 2022 - 6:55

94

Views

Extension of Kantorovich-Rubinstein inequality.

Published on 23 Feb 2026 - 10:20

1k

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Closed form of Wasserstein distance in one dimension

Published on 26 Jan 2022 - 6:10

41

Views

Optimal transport with 0-1 cost: some reference

Published on 01 Feb 2022 - 16:03

58

Views

Compactness in Kantorovich Duality Problem

Published on 25 Feb 2022 - 4:38

List Question

The composition of optimal transport maps is no longer an optimal transport map

Change of variables - Wasserstein distance

How to prove the limit of minimizing sequence of measures is again absolutely continuous(w.r.t. Lebesgue) in the minimizing movement scheme?

Energy Distance between Multivariate Gaussian Distributions

unique optimal plan in $\Gamma_o(\gamma,\nu)$?

Optimal transport on product spaces

how to build mathematic formulation for time violation?

Maximiser of $W_1(\mu, \nu)$ can be changed outside of $\text{conv}(\text{supp}(\mu) \cap \text{supp}(\nu))$ (under additional assumptions)

Sufficient condition for convex conjugates (does one imply the other?)

Transshipment problem with unbalanced demand and supply

Pushforward of a measure under a given flow

Extension of Kantorovich-Rubinstein inequality.

Closed form of Wasserstein distance in one dimension

Optimal transport with 0-1 cost: some reference

Compactness in Kantorovich Duality Problem

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