List questions from optimal-transport

21

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how to solve for wasserstein duality easily in a special case when 2-Wasserstein inequality constraint is binding

Published on 23 Feb 2026 - 8:39

95

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Distance between a distribution and an empirical distribution of samples

Published on 21 Sep 2023 - 15:26

31

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Equivalent condition on marginals

Published on 30 Sep 2023 - 11:52

24

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Questions on the book of Ambrosio-Gigli-Savaré <<Gradient flow>>

Published on 03 Oct 2023 - 15:39

30

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If $z=(x, v) \sim \pi(dx)\eta(dv)$, find $\eta(dv)$ such that $v'\sim\varpi$ where $z'=\psi(z)$ and $\psi$ invertible

Published on 04 Oct 2023 - 23:22

164

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Are linear interpolation curves on Wasserstein spaces absolutely continuous?

Published on 23 Feb 2026 - 8:37

15

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minimizing Earth Mover Distance

Published on 13 Oct 2023 - 7:46

108

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If $f > 0$, $\ker(L)$ contains only constant functions, where $L = - \Delta + \nabla (- \log(f)) \cdot \nabla$ (Villani, Subsec. 7.6)

Published on 13 Oct 2023 - 19:43

125

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Wasserstein Metric Inequality

Published on 23 Feb 2026 - 8:36

25

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Density of the maximum of 2 random variables with arbitrary dependence

Published on 30 Oct 2023 - 2:58

58

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Distance between empirical distribution and population

Published on 30 Oct 2023 - 16:27

43

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Simplifying large scale nonlinear numerical optimization problem

Published on 21 Nov 2023 - 9:44

48

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Bregman divergence from Wasserstein distance

Published on 23 Feb 2026 - 10:16

45

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Convex combination of cyclically monotone sets

Published on 13 Dec 2023 - 15:14

43

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transport equation interpretation

Published on 10 Jan 2024 - 17:06

List Question

how to solve for wasserstein duality easily in a special case when 2-Wasserstein inequality constraint is binding

Distance between a distribution and an empirical distribution of samples

Equivalent condition on marginals

Questions on the book of Ambrosio-Gigli-Savaré <<Gradient flow>>

If $z=(x, v) \sim \pi(dx)\eta(dv)$, find $\eta(dv)$ such that $v'\sim\varpi$ where $z'=\psi(z)$ and $\psi$ invertible

Are linear interpolation curves on Wasserstein spaces absolutely continuous?

minimizing Earth Mover Distance

If $f > 0$, $\ker(L)$ contains only constant functions, where $L = - \Delta + \nabla (- \log(f)) \cdot \nabla$ (Villani, Subsec. 7.6)

Wasserstein Metric Inequality

Density of the maximum of 2 random variables with arbitrary dependence

Distance between empirical distribution and population

Simplifying large scale nonlinear numerical optimization problem

Bregman divergence from Wasserstein distance

Convex combination of cyclically monotone sets

transport equation interpretation

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