List questions from optimal-transport

Published on 20 May 2020 - 18:57

48

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Concentration: lower bound for $\sup_u \mu(\{a + \epsilon u \mid a \in A\})$, where the sup is over unit vectors $u \in \mathbb R^n$

Published on 03 Jun 2020 - 14:56

114

Views

Why (multi marginal) optimal transport?

Published on 03 Jun 2020 - 18:14

151

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Normalizing Matrix wrt Exponential

Published on 05 Jun 2020 - 6:29

247

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The Statement of Kantorovitch Optimal Transport Problem vs Monge.

Published on 12 Jun 2020 - 10:13

306

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Wasserstein-1 with discrete metric

Published on 17 Jun 2020 - 23:53

439

Views

Intuition behind entropy-constrained transportation problem

Published on 06 Jul 2020 - 15:59

41

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Under what conditions on $A \subseteq X^2$ is the function $F_A(\gamma) := \gamma(A)$ l.s.c on the space of finite Borel measures $\mathscr M(X^2)$?

Published on 15 Jul 2020 - 11:39

195

Views

Prove identity of indiscernibles

Published on 20 Jul 2020 - 9:39

238

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Gradient Flows, Explicit Form for Regularised Wasserstein Metric.

Published on 21 Jul 2020 - 13:28

95

Views

Inequality involving 1-norm, discrete Wasserstein distance and majorization

Published on 23 Jul 2020 - 15:42

255

Views

Wasserstein gradient flow and continuity equation

Published on 23 Jul 2020 - 17:24

310

Views

Optimal transport with relaxed constraint on marginals

Published on 03 Mar 2017 - 14:11

528

Views

How to show, that the set of density functions with compact support is compact wrt. Wasserstein Metric?

Published on 11 Mar 2017 - 17:09

128

Views

Kantorovich-Rubinstein in case of quasi-metric

Published on 24 Mar 2017 - 22:47

List Question

Minimizer of the Monge problem $\frac{1}{2}\int_A |x-T(x)|^2dx$

Concentration: lower bound for $\sup_u \mu(\{a + \epsilon u \mid a \in A\})$, where the sup is over unit vectors $u \in \mathbb R^n$

Why (multi marginal) optimal transport?

Normalizing Matrix wrt Exponential

The Statement of Kantorovitch Optimal Transport Problem vs Monge.

Wasserstein-1 with discrete metric

Intuition behind entropy-constrained transportation problem

Under what conditions on $A \subseteq X^2$ is the function $F_A(\gamma) := \gamma(A)$ l.s.c on the space of finite Borel measures $\mathscr M(X^2)$?

Prove identity of indiscernibles

Gradient Flows, Explicit Form for Regularised Wasserstein Metric.

Inequality involving 1-norm, discrete Wasserstein distance and majorization

Wasserstein gradient flow and continuity equation

Optimal transport with relaxed constraint on marginals

How to show, that the set of density functions with compact support is compact wrt. Wasserstein Metric?

Kantorovich-Rubinstein in case of quasi-metric

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