Question

Caracterization of strongly convex

score 207 · Answer 1 · 2026-04-11 18:14:52

207

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Caracterization of strongly convex

Published on 11 Apr 2026 - 18:14

score 141 · Answer 2 · 2026-04-16 18:02:54

141

Views

Maximality of subdifferential of a lsc convex function.

Published on 16 Apr 2026 - 18:02

score 1.5k · Answer 3 · 2026-05-10 17:00:19

1.5k

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Are the standard rules for determining convexity of composition of 2 functions all encompassing?

Published on 10 May 2026 - 17:00

score 2.5k · Answer 4 · 2026-05-11 05:07:43

2.5k

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Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

Published on 11 May 2026 - 5:07

score 4.3k · Answer 5 · 2026-04-13 23:48:19

4.3k

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Show that the set of global minimizers of $f$ is a convex set. If there can be only one global minimizer, how?

Published on 13 Apr 2026 - 23:48

score 533 · Answer 6 · 2026-04-15 15:39:38

533

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If $A$ is convex and $f$ has first partial derivative zero, then $f(x',y) = f(x,y)$ for every $(x',y),(x,y) \in A$?

Published on 15 Apr 2026 - 15:39

score 164 · Answer 7 · 2026-04-15 04:02:37

164

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If $\Omega\subset\mathbb{R}^n$ is convex and $f$ is differentiable, then $f(x)-f(y)\geq f'(y)(x-y),\;\forall \;x,y\in \Omega$

Published on 15 Apr 2026 - 4:02

score 44 · Answer 8 · 2026-05-11 09:28:34

44

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How to Recursively Formulate a Speed vs Quality Problem

Published on 11 May 2026 - 9:28

score 2.7k · Answer 9 · 2026-04-16 17:20:49

2.7k

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$f$ convex $\iff$ $f(y) \ge f(x) + \nabla^Tf(x)(y-x)$ and $f$ is convex $\iff$ $\nabla^2f(x)\ge 0$

Published on 16 Apr 2026 - 17:20

score 202 · Answer 10 · 2026-04-16 07:04:35

202

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Prove $f(y) = \min \{|y-x|, x\in S\}$ is convex when $S = \{x\in\mathbb{R}^2|ax_1 + bx_2 = c\}$

Published on 16 Apr 2026 - 7:04

score 95 · Answer 11 · 2026-04-16 05:32:05

95

Views

Prove or disprove three sentence about $\int_{a}^{b}f(t)\text{d}t$ (convexity)

Published on 16 Apr 2026 - 5:32

score 582 · Answer 12 · 2026-04-15 18:05:35

582

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If $x,y\in \mathbb R^n$, then $tx+(1-t)y$ for any $t\in R$ lies on a 'line'. What is line here?

Published on 15 Apr 2026 - 18:05

score 58 · Answer 13 · 2026-05-10 21:29:29

58

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The set of vectors whose coordinates are non-negative and sum to a number less than $1$

Published on 10 May 2026 - 21:29

score 287 · Answer 14 · 2026-05-13 09:03:29

287

Views

Proximal Operator of an $ {L}_{\infty} $ Norm with a Constraint

Published on 13 May 2026 - 9:03

score 935 · Answer 15 · 2026-04-09 21:04:54

935

Views

Boundedness of a sublevel set of a convex function

Published on 09 Apr 2026 - 21:04

List Question

Caracterization of strongly convex

Maximality of subdifferential of a lsc convex function.

Are the standard rules for determining convexity of composition of 2 functions all encompassing?

Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

Show that the set of global minimizers of $f$ is a convex set. If there can be only one global minimizer, how?

If $A$ is convex and $f$ has first partial derivative zero, then $f(x',y) = f(x,y)$ for every $(x',y),(x,y) \in A$?

If $\Omega\subset\mathbb{R}^n$ is convex and $f$ is differentiable, then $f(x)-f(y)\geq f'(y)(x-y),\;\forall \;x,y\in \Omega$

How to Recursively Formulate a Speed vs Quality Problem

$f$ convex $\iff$ $f(y) \ge f(x) + \nabla^Tf(x)(y-x)$ and $f$ is convex $\iff$ $\nabla^2f(x)\ge 0$

Prove $f(y) = \min \{|y-x|, x\in S\}$ is convex when $S = \{x\in\mathbb{R}^2|ax_1 + bx_2 = c\}$

Prove or disprove three sentence about $\int_{a}^{b}f(t)\text{d}t$ (convexity)

If $x,y\in \mathbb R^n$, then $tx+(1-t)y$ for any $t\in R$ lies on a 'line'. What is line here?

The set of vectors whose coordinates are non-negative and sum to a number less than $1$

Proximal Operator of an $ {L}_{\infty} $ Norm with a Constraint

Boundedness of a sublevel set of a convex function

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