Question

Can we bound the L1 distance between densities by Wasserstein distance of measures

score 251 · Answer 1 · 2023-02-10 10:40:29

251

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Can we bound the L1 distance between densities by Wasserstein distance of measures

Published on 10 Feb 2023 - 10:40

score 23 · Answer 2 · 2023-02-21 23:48:20

23

Views

Why does it suffice to define the homogeneous projection operator by only testing with continuous instead of measurable functions?

Published on 21 Feb 2023 - 23:48

score 300 · Answer 3 · 2023-02-24 03:39:15

300

Views

Optimal Transport between two Gaussians

Published on 24 Feb 2023 - 3:39

score 44 · Answer 4 · 2023-02-27 10:45:53

44

Views

Wasserstein-1 distance, $W(A\cdot B \| C\cdot D)=W(A \| C) + W(B \| D)$

Published on 27 Feb 2023 - 10:45

score 124 · Answer 5 · 2023-02-28 11:29:31

124

Views

Advection reaction equation is solved by projection of solution of continuity equation

Published on 28 Feb 2023 - 11:29

score 113 · Answer 6 · 2023-03-14 15:30:34

113

Views

Scaling property of the Wasserstein metric

Published on 14 Mar 2023 - 15:30

score 226 · Answer 7 · 2023-03-21 21:16:42

226

Views

An inequality about the 2-Wasserstein distance

Published on 21 Mar 2023 - 21:16

score 403 · Answer 8 · 2023-03-23 19:36:18

403

Views

Wasserstein distance inequality

Published on 23 Mar 2023 - 19:36

score 81 · Answer 9 · 2023-04-04 22:49:58

81

Views

Does the reverse triangle inequality holds for Wasserstein-1 distance?

Published on 04 Apr 2023 - 22:49

score 161 · Answer 10 · 2023-04-12 22:06:35

161

Views

Wasserstein distance between a distribution of a random variable and the distribution of its projection onto a subset of its sample space

Published on 12 Apr 2023 - 22:06

score 98 · Answer 11 · 2023-04-14 12:34:30

98

Views

Relationship between optimal transport and gaussian kernel

Published on 14 Apr 2023 - 12:34

score 51 · Answer 12 · 2023-04-21 17:02:19

51

Views

Is the space of probability measure dense in the space of probability measure with density?

Published on 21 Apr 2023 - 17:02

score 98 · Answer 13 · 2023-05-15 10:17:15

98

Views

Proof of Lipschitz continuity of Wasserstein distance in WGAN paper

Published on 15 May 2023 - 10:17

score 63 · Answer 14 · 2023-05-17 13:57:23

63

Views

McCann interpolation on circle

Published on 17 May 2023 - 13:57

score 49 · Answer 15 · 2023-05-30 14:48:58

49

Views

How to Correctly Write the Wasserstein (Kantorovich) Distance between Transition Probability Densities of two Markov Processes

Published on 30 May 2023 - 14:48

List Question

Can we bound the L1 distance between densities by Wasserstein distance of measures

Why does it suffice to define the homogeneous projection operator by only testing with continuous instead of measurable functions?

Optimal Transport between two Gaussians

Wasserstein-1 distance, $W(A\cdot B \| C\cdot D)=W(A \| C) + W(B \| D)$

Advection reaction equation is solved by projection of solution of continuity equation

Scaling property of the Wasserstein metric

An inequality about the 2-Wasserstein distance

Wasserstein distance inequality

Does the reverse triangle inequality holds for Wasserstein-1 distance?

Wasserstein distance between a distribution of a random variable and the distribution of its projection onto a subset of its sample space

Relationship between optimal transport and gaussian kernel

Is the space of probability measure dense in the space of probability measure with density?

Proof of Lipschitz continuity of Wasserstein distance in WGAN paper

McCann interpolation on circle

How to Correctly Write the Wasserstein (Kantorovich) Distance between Transition Probability Densities of two Markov Processes

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