List questions from optimal-transport

154

Views

Why is the distance matrix in optimal transport always the same, and doesn't actually measure distances between samples?

Published on 01 Dec 2020 - 22:34

109

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Linear programming of the Sinkhorn distance (entropy-regularized optimal transport)

Published on 02 Dec 2020 - 8:47

45

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Show that if $d$ is Hilbertian, then $d^2$ is negative definite

Published on 03 Dec 2020 - 13:34

407

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Prove that the Euclidean distance $d(x,y) = ||x-y||$ is negative definite

Published on 03 Dec 2020 - 15:28

567

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Transportation Problem - Handling case of infinite capacity to supply

Published on 07 Dec 2020 - 12:31

30

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Length spaces in $\mathbb{R}^{n}$

Published on 11 Dec 2020 - 11:59

25

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Density Bound for Constant Speed Geodesic in 2-Wasserstein Space

Published on 23 Dec 2020 - 11:56

44

Views

Efficient matrix-product

Published on 07 Jan 2021 - 17:13

306

Views

Wasserstein distance of linear combination

Published on 13 Jan 2021 - 14:46

41

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A Variational Calculus Question, Newtons Equations.

Published on 13 Jan 2021 - 16:26

405

Views

Wasserstein distance of convolutions

Published on 21 Jan 2021 - 9:09

194

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Divergence free vector fields in general measure space

Published on 21 Jan 2021 - 22:43

269

Views

Weak convergence vs weak* convergence of a measure

Published on 26 Jan 2021 - 2:09

347

Views

Proof of optimal transport map for 1-d Wasserstein

Published on 27 Jan 2021 - 16:32

88

Views

Is this the normal derivative of a measure? What does it mean?

Published on 28 Jan 2021 - 6:35

List Question

Why is the distance matrix in optimal transport always the same, and doesn't actually measure distances between samples?

Linear programming of the Sinkhorn distance (entropy-regularized optimal transport)

Show that if $d$ is Hilbertian, then $d^2$ is negative definite

Prove that the Euclidean distance $d(x,y) = ||x-y||$ is negative definite

Transportation Problem - Handling case of infinite capacity to supply

Length spaces in $\mathbb{R}^{n}$

Density Bound for Constant Speed Geodesic in 2-Wasserstein Space

Efficient matrix-product

Wasserstein distance of linear combination

A Variational Calculus Question, Newtons Equations.

Wasserstein distance of convolutions

Divergence free vector fields in general measure space

Weak convergence vs weak* convergence of a measure

Proof of optimal transport map for 1-d Wasserstein

Is this the normal derivative of a measure? What does it mean?

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