List questions from optimal-transport

Published on 13 Nov 2020 - 13:17

135

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Weak convergence of measures and Regularized optimal transport

Published on 13 Nov 2020 - 21:44

888

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Proof of Hopf Lax formula

Published on 14 Nov 2020 - 11:42

157

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$\lambda $- geodesic convexity

Published on 14 Nov 2020 - 16:02

17

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Transforming algorithm to logarithmic domain

Published on 16 Nov 2020 - 15:22

207

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Different versions of the entropy term in the entropy-regularized Wasserstein distance

Published on 17 Nov 2020 - 15:03

54

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Show that if $\phi \oplus \psi \leq c \implies \inf_{\gamma \geq 0} \int c - \phi \oplus \psi d\gamma = 0 $

Published on 17 Nov 2020 - 17:58

448

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On the convexity/concavity of c-concave functions

Published on 19 Nov 2020 - 10:31

110

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Prove that $-\psi(y) \leq c(x,y) + c(x,\bar y) - \psi(\bar y)$

Published on 20 Nov 2020 - 21:08

103

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Intuition behind the difference between absolute continuity and $\mu(A) = 0 \implies \mathcal H^{d-1}(A)<+\infty$

Published on 25 Nov 2020 - 17:06

35

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Bounding expectations of Gaussian integrals

Published on 27 Nov 2020 - 0:33

59

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Duality of $\mathcal M(X)$ with $C_0(X)$ and with $C_b(X)$

Published on 27 Nov 2020 - 13:58

153

Views

The transportation problem with uncertain (and, in general, linearly interdependent) supply- and demand values

Published on 27 Nov 2020 - 18:49

291

Views

Is there a stronger version of the Gluing Lemma?

Published on 30 Nov 2020 - 16:44

692

Views

Linear programming with a second decision variable in the constraint vector

Published on 30 Nov 2020 - 19:12

List Question

Can a single random variable have a covariance matrix?

Weak convergence of measures and Regularized optimal transport

Proof of Hopf Lax formula

$\lambda $- geodesic convexity

Transforming algorithm to logarithmic domain

Different versions of the entropy term in the entropy-regularized Wasserstein distance

Show that if $\phi \oplus \psi \leq c \implies \inf_{\gamma \geq 0} \int c - \phi \oplus \psi d\gamma = 0 $

On the convexity/concavity of c-concave functions

Prove that $-\psi(y) \leq c(x,y) + c(x,\bar y) - \psi(\bar y)$

Intuition behind the difference between absolute continuity and $\mu(A) = 0 \implies \mathcal H^{d-1}(A)<+\infty$

Bounding expectations of Gaussian integrals

Duality of $\mathcal M(X)$ with $C_0(X)$ and with $C_b(X)$

The transportation problem with uncertain (and, in general, linearly interdependent) supply- and demand values

Is there a stronger version of the Gluing Lemma?

Linear programming with a second decision variable in the constraint vector

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