List questions from optimal-transport

Published on 31 Oct 2020 - 19:16

68

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What is $d \pi (x, y)$ in the Kantorovich formulation of transport map?

Published on 03 Nov 2020 - 15:36

255

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Are optimal transport and optimal control related?

Published on 03 Nov 2020 - 19:23

905

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Optimal transport and total variation distance

Published on 03 Nov 2020 - 21:06

41

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Is $\mathrm{d} \pi (x,y)$ or $\pi(x,y) \mathrm{d}x \mathrm{d}y$ correct in Optimal Transport formulation?

Published on 04 Nov 2020 - 7:50

1.2k

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How is Optimal Transport algorithmically related to the Assignment Problem?

Published on 04 Nov 2020 - 8:42

299

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If $\alpha = \beta$, why can't the entropy-regularized Wasserstein distance equal $0$?

Published on 07 Nov 2020 - 2:28

224

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Derivative and divergence of measures, product of measures and vector field

Published on 07 Nov 2020 - 9:06

663

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Reference Request for Optimal Transport

Published on 08 Nov 2020 - 6:10

336

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Uniqueness continuity equation optimal transport (using transport equation)

Published on 08 Nov 2020 - 8:33

328

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Transportation-information inequalities (concentration inequalities)

Published on 08 Nov 2020 - 15:56

45

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How can one prove that $\int \langle x,y\rangle d\gamma’ = \int \langle x-\tau,y-\tau' \rangle d\gamma$

Published on 23 Feb 2026 - 8:34

122

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Estimation of Wasserstein distances

Published on 12 Nov 2020 - 3:16

35

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Prove that $K(\gamma) = \int c d\gamma$ is continuous

Published on 12 Nov 2020 - 11:31

288

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Different linear programming versions of optimal transport

Published on 13 Nov 2020 - 12:18

List Question

Prove that $\mathcal U(\mu, \nu)$ is compact for the weak topology of measures

What is $d \pi (x, y)$ in the Kantorovich formulation of transport map?

Are optimal transport and optimal control related?

Optimal transport and total variation distance

Is $\mathrm{d} \pi (x,y)$ or $\pi(x,y) \mathrm{d}x \mathrm{d}y$ correct in Optimal Transport formulation?

How is Optimal Transport algorithmically related to the Assignment Problem?

If $\alpha = \beta$, why can't the entropy-regularized Wasserstein distance equal $0$?

Derivative and divergence of measures, product of measures and vector field

Reference Request for Optimal Transport

Uniqueness continuity equation optimal transport (using transport equation)

Transportation-information inequalities (concentration inequalities)

How can one prove that $\int \langle x,y\rangle d\gamma’ = \int \langle x-\tau,y-\tau' \rangle d\gamma$

Estimation of Wasserstein distances

Prove that $K(\gamma) = \int c d\gamma$ is continuous

Different linear programming versions of optimal transport

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