List questions from convex-analysis

Published on 26 Mar 2026 - 12:44

100

Views

Are strictly concave functions robust to "small changes"?

Published on 25 May 2018 - 14:24

508

Views

Using concavity of log to prove $L^p$ norm is increasing in $p$

Published on 25 Mar 2026 - 20:15

175

Views

Show $\max_{r\equiv (r_1,..., r_M) \in \mathbb{R}^M} \sum_{k=1}^M \mu_k r_k - \log\Big(\sum_{k=1}^M \exp(r_k) \Big)= \sum_{k=1}^M \mu_k \log(\mu_k)$

Published on 26 Mar 2026 - 12:50

112

Views

Infimum of $\max(0,y) + \frac{1}{2t}(x-y)^2$

Published on 25 Mar 2026 - 21:49

271

Views

Legendre transform of max of two convex functions

Published on 26 May 2018 - 2:07

882

Views

Prove that the set of the sum of any two points on the boundary of a convex set is convex

Published on 26 May 2018 - 18:49

1.3k

Views

Is the Taylor expansion of a concave function concave?

Published on 25 Mar 2026 - 14:27

188

Views

Prove that a strongly convex function imples $2c(F(w)-F_*) \leq ||\nabla F(w)||_2^2$

Published on 28 May 2018 - 3:54

182

Views

Convex Set or Convex Space?

Published on 28 May 2018 - 4:41

110

Views

prove that f is convex on (a,b) if and only if f satisfies $ f( \frac{x+y}{2} ) \leq \frac{f(x)+f(y)}{2} $ for all $ x,y \in (a,b) $

Published on 28 May 2018 - 12:49

49

Views

Show that $J\colon V \to \mathbb{R}$ is convex

Published on 24 Mar 2026 - 22:09

267

Views

Question about convex set of probabilities

Published on 29 May 2018 - 2:42

47

Views

Is it enough to test 1D convex functions for convex order of measures?

Published on 29 May 2018 - 11:24

693

Views

Change of variable (convex optimization)

Published on 29 May 2018 - 14:49

List Question

Integral of a convex function is convex?

Are strictly concave functions robust to "small changes"?

Using concavity of log to prove $L^p$ norm is increasing in $p$

Show $\max_{r\equiv (r_1,..., r_M) \in \mathbb{R}^M} \sum_{k=1}^M \mu_k r_k - \log\Big(\sum_{k=1}^M \exp(r_k) \Big)= \sum_{k=1}^M \mu_k \log(\mu_k)$

Infimum of $\max(0,y) + \frac{1}{2t}(x-y)^2$

Legendre transform of max of two convex functions

Prove that the set of the sum of any two points on the boundary of a convex set is convex

Is the Taylor expansion of a concave function concave?

Prove that a strongly convex function imples $2c(F(w)-F_*) \leq ||\nabla F(w)||_2^2$

Convex Set or Convex Space?

prove that f is convex on (a,b) if and only if f satisfies $ f( \frac{x+y}{2} ) \leq \frac{f(x)+f(y)}{2} $ for all $ x,y \in (a,b) $

Show that $J\colon V \to \mathbb{R}$ is convex

Question about convex set of probabilities

Is it enough to test 1D convex functions for convex order of measures?

Change of variable (convex optimization)

Trending Questions

Popular # Hahtags

Popular Questions