List questions from wasserstein

Published on 23 Feb 2026 - 4:56

28

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Functional E convex and lower semicontinuous implies weakly lower semicontinuous in Wasserstein space

Published on 23 Feb 2026 - 6:37

47

Views

Bregman divergence from Wasserstein distance

Published on 25 Nov 2023 - 15:30

45

Views

What is a wasserstein barycenter?

Published on 25 Nov 2023 - 23:07

389

Views

Quantitative bound on Wasserstein distances by $L^p$ distances?

Published on 29 Dec 2023 - 5:05

10

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What is the image of a transference plan?

Published on 13 Jan 2024 - 13:57

93

Views

Computing the Wasserstein $1$-Distance of the distribution $P_{0} \sim (0, Z)$ for $Z \sim U[0,1]$ and $P_{\theta} := (\theta, Z)$.

Published on 09 Nov 2021 - 4:58

200

Views

Change of variables - Wasserstein distance

Published on 10 Nov 2021 - 13:51

93

Views

Covering with sets of negligible boundary

Published on 02 Dec 2021 - 15:25

140

Views

Will $L^1\log L^1$ bound gives strong $L^1$ convergence?

Published on 12 Dec 2021 - 22:22

66

Views

Density associated with Wasserstein geodesic

Published on 25 Dec 2021 - 0:46

132

Views

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 30 Dec 2021 - 0:54

93

Views

Extension of Kantorovich-Rubinstein inequality.

Published on 20 Jan 2022 - 11:13

181

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What is a clever or efficient way to compute this variant of the Wasserstein distance between persistence diagrams?

Published on 24 Feb 2022 - 12:30

102

Views

2-Wasserstein barycenter of uniform distribution on ellipsoid

Published on 01 Apr 2022 - 5:12

List Question

Sufficient Conditions on Metric Space for Wasserstein Distance?

Functional E convex and lower semicontinuous implies weakly lower semicontinuous in Wasserstein space

Bregman divergence from Wasserstein distance

What is a wasserstein barycenter?

Quantitative bound on Wasserstein distances by $L^p$ distances?

What is the image of a transference plan?

Computing the Wasserstein $1$-Distance of the distribution $P_{0} \sim (0, Z)$ for $Z \sim U[0,1]$ and $P_{\theta} := (\theta, Z)$.

Change of variables - Wasserstein distance

Covering with sets of negligible boundary

Will $L^1\log L^1$ bound gives strong $L^1$ convergence?

Density associated with Wasserstein geodesic

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

Extension of Kantorovich-Rubinstein inequality.

What is a clever or efficient way to compute this variant of the Wasserstein distance between persistence diagrams?

2-Wasserstein barycenter of uniform distribution on ellipsoid

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