List questions from concentration-of-measure

Published on 25 Mar 2026 - 19:02

565

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Concentration around mean from concentration around median

Published on 25 Mar 2026 - 19:03

210

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Concentration bound on function of the estimate

Published on 20 Apr 2020 - 8:39

32

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Given $A \in \mathbb R^{m \times n}$, find upper bound for $\mathbb E\|Az\|_q$ for $z$ drawn uniformly at random on the sphere $\{\|z\|_p = 1\}$

Published on 26 Mar 2026 - 21:10

64

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Proving an exponential tail bound inequality

Published on 01 May 2020 - 12:41

578

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Lower bound on the variance of the maximum of random variables.

Published on 20 May 2020 - 23:22

39

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Sum of random variables $\mathbf{x}\sim \text{Uniform}(\mathbb{S}^{n−1})$ converges to Gaussian?

Published on 23 Feb 2026 - 8:25

203

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Bound sub-Gaussian variance proxy by variance for $[-1,1]$-valued random variables

Published on 29 May 2020 - 6:07

49

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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 23 Feb 2026 - 12:14

160

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On non-centered subGaussian random variables

Published on 25 Mar 2026 - 7:46

96

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Concentration result for norm of a particular double sum in separable Hilbert Space

Published on 17 Jun 2020 - 16:25

132

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Can the Bernstein concentration inequality bound for matrices be improved when we have a sequence of diagonal matrices?

Published on 20 Jun 2020 - 1:03

130

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If $X$ is a nonnegative $\sigma$-subGaussian random variable with $P(X=0)\ge p$, what is a good upper bound for $P(X \ge h)$?

Published on 25 Mar 2026 - 6:30

432

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Chernoff Bound for sum of sub-gaussian variables via truncation method

Published on 25 Mar 2026 - 11:19

72

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Integral non-zero only if integrand is to the power of two

Published on 27 Jul 2020 - 13:44

List Question

Median Concentration implies mean concentrarion

Concentration around mean from concentration around median

Concentration bound on function of the estimate

Given $A \in \mathbb R^{m \times n}$, find upper bound for $\mathbb E\|Az\|_q$ for $z$ drawn uniformly at random on the sphere $\{\|z\|_p = 1\}$

Proving an exponential tail bound inequality

Lower bound on the variance of the maximum of random variables.

Sum of random variables $\mathbf{x}\sim \text{Uniform}(\mathbb{S}^{n−1})$ converges to Gaussian?

Bound sub-Gaussian variance proxy by variance for $[-1,1]$-valued random variables

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

On non-centered subGaussian random variables

Concentration result for norm of a particular double sum in separable Hilbert Space

Can the Bernstein concentration inequality bound for matrices be improved when we have a sequence of diagonal matrices?

If $X$ is a nonnegative $\sigma$-subGaussian random variable with $P(X=0)\ge p$, what is a good upper bound for $P(X \ge h)$?

Chernoff Bound for sum of sub-gaussian variables via truncation method

Integral non-zero only if integrand is to the power of two

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