Question

Relation between Wasserstein distance and distribution convergence

score 570 · Answer 1 · 2023-06-02 08:01:04

570

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Relation between Wasserstein distance and distribution convergence

Published on 02 Jun 2023 - 8:01

score 136 · Answer 2 · 2023-06-04 15:39:23

136

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Relations between Kolmogorov-Smirnov distance and Wasserstain distance

Published on 04 Jun 2023 - 15:39

score 33 · Answer 3 · 2023-06-10 22:40:15

33

Views

Solve $\inf_{\mu_0=\mu,\mu_1=\nu}\{\int_0^1\|v_t\|_{L^2(\mathbb{R}^d)}|\partial_t\mu_t+\text{div}(\mu_tv_t)=0\}.$

Published on 10 Jun 2023 - 22:40

score 275 · Answer 4 · 2023-06-12 08:11:34

275

Views

Boundedness of $\dfrac{W_2(\mu_1+\varepsilon (\mu_2-\mu_1),\mu_1)}{\varepsilon}$ for 2 -Wasserstein metric

Published on 12 Jun 2023 - 8:11

score 69 · Answer 5 · 2023-07-18 02:00:40

69

Views

Algorithms to Calculate Wasserstein Distance Between 2-Dimensional Continuous Probability Distributions

Published on 18 Jul 2023 - 2:00

score 127 · Answer 6 · 2023-07-25 21:30:59

127

Views

Is there a meaning of distances for 0<p<1 for Wasserstein distance?

Published on 25 Jul 2023 - 21:30

score 198 · Answer 7 · 2023-08-18 16:44:50

198

Views

Derive the $d=1$ form of the Wasserstein distance

Published on 18 Aug 2023 - 16:44

score 21 · Answer 8 · 2023-08-21 16:16:31

21

Views

Optimal Mass Distribution Minimizing Average 2-Wasserstein Distance to a Set of Mass Distributions

Published on 21 Aug 2023 - 16:16

score 122 · Answer 9 · 2023-08-27 17:35:06

122

Views

How to derive the $W_1$ Wasserstein distance written with the quantile functions (i.e. with inverse cumulative distribution functions)

Published on 27 Aug 2023 - 17:35

score 74 · Answer 10 · 2023-09-11 00:20:13

74

Views

How to intuitively view Wasserstein distance dual as moving earth

Published on 11 Sep 2023 - 0:20

score 47 · Answer 11 · 2023-09-11 11:19:05

47

Views

What is the conventional definition of $d(x,y)^{p}$?

Published on 11 Sep 2023 - 11:19

score 20 · Answer 12 · 2023-09-16 17:05:36

20

Views

how to solve for wasserstein duality easily in a special case when 2-Wasserstein inequality constraint is binding

Published on 16 Sep 2023 - 17:05

score 163 · Answer 13 · 2023-10-08 05:31:29

163

Views

Are linear interpolation curves on Wasserstein spaces absolutely continuous?

Published on 08 Oct 2023 - 5:31

score 73 · Answer 14 · 2026-02-23 06:22:49

73

Views

Intuition of Wasserstein and Information geometry geodesics

Published on 23 Feb 2026 - 6:22

score 124 · Answer 15 · 2023-10-18 20:46:32

124

Views

Wasserstein Metric Inequality

Published on 18 Oct 2023 - 20:46

List Question

Relation between Wasserstein distance and distribution convergence

Relations between Kolmogorov-Smirnov distance and Wasserstain distance

Solve $\inf_{\mu_0=\mu,\mu_1=\nu}\{\int_0^1\|v_t\|_{L^2(\mathbb{R}^d)}|\partial_t\mu_t+\text{div}(\mu_tv_t)=0\}.$

Boundedness of $\dfrac{W_2(\mu_1+\varepsilon (\mu_2-\mu_1),\mu_1)}{\varepsilon}$ for 2 -Wasserstein metric

Algorithms to Calculate Wasserstein Distance Between 2-Dimensional Continuous Probability Distributions

Is there a meaning of distances for 0<p<1 for Wasserstein distance?

Derive the $d=1$ form of the Wasserstein distance

Optimal Mass Distribution Minimizing Average 2-Wasserstein Distance to a Set of Mass Distributions

How to derive the $W_1$ Wasserstein distance written with the quantile functions (i.e. with inverse cumulative distribution functions)

How to intuitively view Wasserstein distance dual as moving earth

What is the conventional definition of $d(x,y)^{p}$?

how to solve for wasserstein duality easily in a special case when 2-Wasserstein inequality constraint is binding

Are linear interpolation curves on Wasserstein spaces absolutely continuous?

Intuition of Wasserstein and Information geometry geodesics

Wasserstein Metric Inequality

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