Question

Continuous, convex function on a normed vector space, bounded below by a linear functional plus a constant

score 205 · Answer 1 · 2026-04-11 22:59:12

205

Views

Continuous, convex function on a normed vector space, bounded below by a linear functional plus a constant

Published on 11 Apr 2026 - 22:59

score 279 · Answer 2 · 2026-04-16 15:10:00

279

Views

Prove that the set $C = \{(x,y) \in \mathbb{R}^2:\max \{ |x|,|y|\}\leq 1 \}$ is convex.

Published on 16 Apr 2026 - 15:10

score 270 · Answer 3 · 2026-04-12 11:55:57

270

Views

When is the image of a convex set under a holomorphic function convex?

Published on 12 Apr 2026 - 11:55

score 42 · Answer 4 · 2026-04-14 19:20:33

42

Views

Can we prove that $x_n$ converges to a zero point if $F(x_n)$ converge to 0 when the kernel of $F$ is convex?

Published on 14 Apr 2026 - 19:20

score 471 · Answer 5 · 2026-05-10 16:56:45

471

Views

Is the Euclidean distance from $\text{SO}(n)$ approximately convex?

Published on 10 May 2026 - 16:56

score 159 · Answer 6 · 2026-05-10 15:42:38

159

Views

Orthogonal projection onto (general) simplex

Published on 10 May 2026 - 15:42

score 52 · Answer 7 · 2026-04-11 09:04:58

52

Views

Confusion of a Claim in Talagrand's Paper

Published on 11 Apr 2026 - 9:04

score 300 · Answer 8 · 2026-04-17 13:20:54

300

Views

Increasing convex function eventually greater than increasing concave function

Published on 17 Apr 2026 - 13:20

score 55 · Answer 9 · 2026-04-16 11:21:25

55

Views

Let $x_0,\ldots,x_{d+1}\in\mathbb{R}^d$, then can there be some $y\in\mathrm{int\!hull\!}_i x_i$ that is a unique convex combination of $x_i$?

Published on 16 Apr 2026 - 11:21

score 141 · Answer 10 · 2026-05-10 21:20:30

141

Views

Bregman divergence and strict convexity

Published on 10 May 2026 - 21:20

score 7.2k · Answer 11 · 2026-04-13 21:35:59

7.2k

Views

Is the Kullback-Leibler divergence strictly convex in both $p$ and $q$?

Published on 13 Apr 2026 - 21:35

score 2.2k · Answer 12 · 2026-05-13 11:07:17

2.2k

Views

Proximal Operator / Mapping Intuition and Practical Example

Published on 13 May 2026 - 11:07

score 252 · Answer 13 · 2026-04-13 18:06:23

252

Views

product of convex and positive linear function

Published on 13 Apr 2026 - 18:06

score 1k · Answer 14 · 2026-05-14 15:02:28

1k

Views

vector composition preserving convexity and perspective of a function

Published on 14 May 2026 - 15:02

score 384 · Answer 15 · 2026-05-13 05:18:09

384

Views

Does entry-wise non-negativity imply positive semidefiniteness?

Published on 13 May 2026 - 5:18

List Question

Continuous, convex function on a normed vector space, bounded below by a linear functional plus a constant

Prove that the set $C = \{(x,y) \in \mathbb{R}^2:\max \{ |x|,|y|\}\leq 1 \}$ is convex.

When is the image of a convex set under a holomorphic function convex?

Can we prove that $x_n$ converges to a zero point if $F(x_n)$ converge to 0 when the kernel of $F$ is convex?

Is the Euclidean distance from $\text{SO}(n)$ approximately convex?

Orthogonal projection onto (general) simplex

Confusion of a Claim in Talagrand's Paper

Increasing convex function eventually greater than increasing concave function

Let $x_0,\ldots,x_{d+1}\in\mathbb{R}^d$, then can there be some $y\in\mathrm{int\!hull\!}_i x_i$ that is a unique convex combination of $x_i$?

Bregman divergence and strict convexity

Is the Kullback-Leibler divergence strictly convex in both $p$ and $q$?

Proximal Operator / Mapping Intuition and Practical Example

product of convex and positive linear function

vector composition preserving convexity and perspective of a function

Does entry-wise non-negativity imply positive semidefiniteness?

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