Question

Why is the set of subgradients a convex set?

score 792 · Answer 1 · 2012-12-21 06:58:00

792

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Why is the set of subgradients a convex set?

Published on 21 Dec 2012 - 6:58

score 745 · Answer 2 · 2012-12-23 12:50:29

745

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Gradient Descent for Primal Kernel SVM with Soft-Margin(Hinge) Loss

Published on 23 Dec 2012 - 12:50

score 597 · Answer 3 · 2012-12-30 23:30:44

597

Views

Subgradient of convex minimization duality

Published on 30 Dec 2012 - 23:30

score 151 · Answer 4 · 2020-08-03 14:26:36

151

Views

Minimization Problem: Deriving Dual Problem

Published on 03 Aug 2020 - 14:26

score 63 · Answer 5 · 2020-08-03 22:30:02

63

Views

Clarification about the definition of subgradient

Published on 03 Aug 2020 - 22:30

score 152 · Answer 6 · 2020-09-09 19:14:12

152

Views

If $f$ is a continuous differentiable function, then the gradient of $f$ at $\bar{u}$ is a subgradient of $f$ at $\bar{u}$.

Published on 09 Sep 2020 - 19:14

score 46 · Answer 7 · 2020-10-05 12:21:54

46

Views

What is the set of subdifferentials of $f$ at $x = -1$ for $f:\mathbb{R} \to \mathbb{R}$ given by $f(x) = 2x^2 + x +2$

Published on 05 Oct 2020 - 12:21

score 151 · Answer 8 · 2020-10-06 17:37:44

151

Views

How do I find the set of subgradients for the $H_\infty$ norm?

Published on 06 Oct 2020 - 17:37

score 63 · Answer 9 · 2020-10-17 13:24:05

63

Views

Sub-differential for function in closed interval

Published on 17 Oct 2020 - 13:24

score 143 · Answer 10 · 2020-10-19 02:23:01

143

Views

subdifferential of fused lasso

Published on 19 Oct 2020 - 2:23

score 146 · Answer 11 · 2020-11-13 04:58:56

146

Views

Check computation of minimal norm of subgradients sum of linear function and indicator function of convex set

Published on 13 Nov 2020 - 4:58

score 36 · Answer 12 · 2026-03-25 09:51:17

36

Views

How to show that $\left\{x^\in X \mid \limsup_{y \to x,\;\|y\|=1}\frac{\langle x^,y-x\rangle}{\|y-x\|} \le 0\right\} = \mathbb R x$ if $\|x\|=1$

Published on 25 Mar 2026 - 9:51

score 2k · Answer 13 · 2020-12-04 05:21:58

2k

Views

subdifferential of ReLU function composition with affine function

Published on 04 Dec 2020 - 5:21

score 126 · Answer 14 · 2026-03-25 09:08:57

126

Views

Which is stronger, Kurdyka-Łojasiewicz property or regular? If the comparison is not proper, what are their range of applications?

Published on 25 Mar 2026 - 9:08

score 28 · Answer 15 · 2020-12-09 10:17:16

28

Views

Can we derive bound for the subgradient of stochastic convex function from the bound for the subgradient of its sample function?

Published on 09 Dec 2020 - 10:17

List Question

Why is the set of subgradients a convex set?

Gradient Descent for Primal Kernel SVM with Soft-Margin(Hinge) Loss

Subgradient of convex minimization duality

Minimization Problem: Deriving Dual Problem

Clarification about the definition of subgradient

If $f$ is a continuous differentiable function, then the gradient of $f$ at $\bar{u}$ is a subgradient of $f$ at $\bar{u}$.

What is the set of subdifferentials of $f$ at $x = -1$ for $f:\mathbb{R} \to \mathbb{R}$ given by $f(x) = 2x^2 + x +2$

How do I find the set of subgradients for the $H_\infty$ norm?

Sub-differential for function in closed interval

subdifferential of fused lasso

Check computation of minimal norm of subgradients sum of linear function and indicator function of convex set

How to show that $\left\{x^\in X \mid \limsup_{y \to x,\;\|y\|=1}\frac{\langle x^,y-x\rangle}{\|y-x\|} \le 0\right\} = \mathbb R x$ if $\|x\|=1$

subdifferential of ReLU function composition with affine function

Which is stronger, Kurdyka-Łojasiewicz property or regular? If the comparison is not proper, what are their range of applications?

Can we derive bound for the subgradient of stochastic convex function from the bound for the subgradient of its sample function?

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