User Steve

11 votes

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A remarkable identity involving $\chi^2$ random variables

answered May 23, 2021 at 17:57

9 votes

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Can the sum of identically distributed dependent Bernoulli trials be binomially distributed?

answered Feb 22, 2019 at 15:29

8 votes

Does this moment inequality hold for any probability measure on the positive real line?

answered Sep 8, 2017 at 22:18

4 votes

$H(p) \le H(q) + KL(p, q)$?

answered Dec 30, 2019 at 14:20

3 votes

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The infinity Wasserstein distance $W_\infty$ and the weak topology

answered Sep 24, 2021 at 9:24

3 votes

Measurability of Markov kernel wrt the Borel $\sigma$-algebra generated by the weak topology

answered Mar 5, 2022 at 21:10

2 votes

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In general is $\frac{d\,\mu_1}{d\,\mu_2}\circ T = \frac{d\,T\mu_1}{d\,T\mu_2}$?

answered Jun 1, 2022 at 8:43

2 votes

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Optimal transport for applied mathematicians: how does $\varphi (x) = \inf_{y \in Y} [c(x, y) - \psi (y)] \neq -\infty$ follow in Theorem 1.37?

answered Jul 26, 2022 at 20:19

2 votes

Absolutely continuous coupling of probability measures

answered Jan 7, 2020 at 15:57

2 votes

Estimation of the Gromov–Wasserstein distance of spheres

answered Apr 18, 2019 at 14:21

2 votes

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The largest Wasserstein distance to uniform distribution among all probability distributions with uniform marginals

answered Mar 12, 2017 at 22:12

2 votes

Does such a parametric distribution family exist that is "closed" with respect to addition and multiplication simultaneously?

answered Feb 15, 2019 at 22:40

2 votes

Orthogonal projection of a point centrally-symmetric closed convex subset of $\mathbb R^n$ never expands the coordinates of the point

answered Oct 13, 2022 at 9:46

1 vote

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Draw samples from distribitions in the neighborhood of a fixed distribution

answered Aug 10, 2018 at 14:53

1 vote

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Mutual information inequality

answered Aug 8, 2019 at 8:35

1 vote

Invertibility of neural network as operator on Wasserstein space

answered Sep 22, 2020 at 9:24

1 vote

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How to prove that is a consistent estimator?

answered Jul 13, 2022 at 11:40

1 vote

Building the Wasserstein space by pushforwards

answered Jan 11, 2022 at 16:56

1 vote

Upper bound on the $p$-Wasserstein distance $\mathcal{W}_p(\xi,a\,\xi)$ for some constant $a \neq 0$

answered Jun 15, 2021 at 14:10

0 votes

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Proof of lower bound on variance

answered Sep 28, 2022 at 15:00

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20 Answers

A remarkable identity involving $\chi^2$ random variables

Can the sum of identically distributed dependent Bernoulli trials be binomially distributed?

Does this moment inequality hold for any probability measure on the positive real line?

$H(p) \le H(q) + KL(p, q)$?

The infinity Wasserstein distance $W_\infty$ and the weak topology

Measurability of Markov kernel wrt the Borel $\sigma$-algebra generated by the weak topology

In general is $\frac{d\,\mu_1}{d\,\mu_2}\circ T = \frac{d\,T\mu_1}{d\,T\mu_2}$?

Optimal transport for applied mathematicians: how does $\varphi (x) = \inf_{y \in Y} [c(x, y) - \psi (y)] \neq -\infty$ follow in Theorem 1.37?

Absolutely continuous coupling of probability measures

Estimation of the Gromov–Wasserstein distance of spheres

The largest Wasserstein distance to uniform distribution among all probability distributions with uniform marginals

Does such a parametric distribution family exist that is "closed" with respect to addition and multiplication simultaneously?

Orthogonal projection of a point centrally-symmetric closed convex subset of $\mathbb R^n$ never expands the coordinates of the point

Draw samples from distribitions in the neighborhood of a fixed distribution

Mutual information inequality

Invertibility of neural network as operator on Wasserstein space

How to prove that is a consistent estimator?

Building the Wasserstein space by pushforwards

Upper bound on the $p$-Wasserstein distance $\mathcal{W}_p(\xi,a\,\xi)$ for some constant $a \neq 0$

Proof of lower bound on variance