List questions from convex-analysis

Published on 03 Apr 2026 - 0:25

52

Views

Closed-form solution to the problem: $\arg\min_{q \in \Delta_{\mathcal X} \text{ s.t } \|q-p\|_2 \le \epsilon} \mathbb E_q[X]$

Published on 26 Mar 2026 - 16:06

77

Views

How to show equivalence between two programs?

Published on 26 Mar 2026 - 3:10

195

Views

Anisotropic perimeter as derivative of measures.

Published on 25 Mar 2026 - 11:02

46

Views

Show that a set $\mathcal U$ is convex

Published on 30 Mar 2026 - 13:18

254

Views

Show convex function is increasing in both variables of difference quotient using alternative definition of convexity

Published on 26 May 2019 - 18:30

78

Views

Differential of partial minimization

Published on 26 Mar 2026 - 7:57

102

Views

Convex functions and subdifferential

Published on 25 Mar 2026 - 6:25

792

Views

Minimum point-wise of convex and scalar

Published on 31 Mar 2026 - 17:49

162

Views

Norm and Dual Norm

Published on 25 Mar 2026 - 15:38

392

Views

If $C_1$ and $C_2$ are convex sets then $C_1 + C_2$ is a convex set

Published on 29 May 2019 - 19:34

212

Views

Prove $f(x_1, x_2, x_3,x_4) = \frac{x_1}{x_1 x_3+x_2 x_4}$ is convex

Published on 28 Mar 2026 - 11:45

347

Views

Strict Convexity and Uniqueness of Dual norm

Published on 31 Mar 2026 - 17:49

84

Views

Distance between two disjoint convex sets

Published on 26 Mar 2026 - 9:38

537

Views

Fenchel-Legendre Transform Intuition in Large Deviations

Published on 25 Mar 2026 - 9:48

List Question

$p$-norm is sub-modular

Closed-form solution to the problem: $\arg\min_{q \in \Delta_{\mathcal X} \text{ s.t } \|q-p\|_2 \le \epsilon} \mathbb E_q[X]$

How to show equivalence between two programs?

Anisotropic perimeter as derivative of measures.

Show that a set $\mathcal U$ is convex

Show convex function is increasing in both variables of difference quotient using alternative definition of convexity

Differential of partial minimization

Convex functions and subdifferential

Minimum point-wise of convex and scalar

Norm and Dual Norm

If $C_1$ and $C_2$ are convex sets then $C_1 + C_2$ is a convex set

Prove $f(x_1, x_2, x_3,x_4) = \frac{x_1}{x_1 x_3+x_2 x_4}$ is convex

Strict Convexity and Uniqueness of Dual norm

Distance between two disjoint convex sets

Fenchel-Legendre Transform Intuition in Large Deviations

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