Question

Why is the set of subgradients a convex set?

score 795 · Answer 1 · 2026-04-15 10:57:48

795

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Why is the set of subgradients a convex set?

Published on 15 Apr 2026 - 10:57

score 747 · Answer 2 · 2026-04-15 06:46:38

747

Views

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

Published on 15 Apr 2026 - 6:46

score 600 · Answer 3 · 2026-04-16 07:24:14

600

Views

Subgradient of convex minimization duality

Published on 16 Apr 2026 - 7:24

score 154 · Answer 4 · 2026-04-13 16:25:19

154

Views

Minimization Problem: Deriving Dual Problem

Published on 13 Apr 2026 - 16:25

score 68 · Answer 5 · 2026-04-16 23:11:58

68

Views

Clarification about the definition of subgradient

Published on 16 Apr 2026 - 23:11

score 155 · Answer 6 · 2026-04-17 01:03:36

155

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 17 Apr 2026 - 1:03

score 48 · Answer 7 · 2026-04-15 07:17:27

48

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 15 Apr 2026 - 7:17

score 154 · Answer 8 · 2026-04-10 21:08:24

154

Views

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

Published on 10 Apr 2026 - 21:08

score 66 · Answer 9 · 2026-04-11 03:02:17

66

Views

Sub-differential for function in closed interval

Published on 11 Apr 2026 - 3:02

score 146 · Answer 10 · 2026-04-14 15:07:02

146

Views

subdifferential of fused lasso

Published on 14 Apr 2026 - 15:07

score 149 · Answer 11 · 2026-04-14 14:46:32

149

Views

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

Published on 14 Apr 2026 - 14:46

score 37 · Answer 12 · 2026-05-10 13:51:02

37

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 10 May 2026 - 13:51

score 2k · Answer 13 · 2026-04-08 23:02:34

2k

Views

subdifferential of ReLU function composition with affine function

Published on 08 Apr 2026 - 23:02

score 129 · Answer 14 · 2026-05-11 03:17:11

129

Views

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

Published on 11 May 2026 - 3:17

score 31 · Answer 15 · 2026-04-12 08:56:26

31

Views

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

Published on 12 Apr 2026 - 8:56

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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