Question

Subgradients of piecewise maximum function

score 45 · Answer 1 · 2023-10-22 07:12:45

45

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Subgradients of piecewise maximum function

Published on 22 Oct 2023 - 7:12

score 108 · Answer 2 · 2023-10-26 10:14:13

108

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Proof that $f(y) \ge f(x) + g^T(y-x)$, for all $y \in U \Rightarrow g \in \partial f(x)$ where U is a open neighborhood of x

Published on 26 Oct 2023 - 10:14

score 41 · Answer 3 · 2023-11-11 04:36:32

41

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Subdifferential of $\sqrt{a(x)_+^2 + b(x)_+^2}$ where $a,b$ are convex

Published on 11 Nov 2023 - 4:36

score 54 · Answer 4 · 2023-11-23 14:58:32

Prove that any subgradient of the hinge loss function $max\lbrace 0, y\langle\mathbf{w}, \mathbf{x}\rangle\rbrace$ is of the form $\alpha\mathbf{x}$

score 40 · Answer 5 · 2026-02-24 16:40:03

40

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Same result in every iterations from subgradient and proximal gradient method.

Published on 24 Feb 2026 - 16:40

score 75 · Answer 6 · 2026-03-25 06:01:19

75

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Subdifferential of convex functions is nonempty

Published on 25 Mar 2026 - 6:01

score 47 · Answer 7 · 2024-01-30 11:27:55

47

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How to construct a parabola that tangent to the function $\max \left\{ {x,0} \right\}$ and lie above it?

Published on 30 Jan 2024 - 11:27

score 49 · Answer 8 · 2024-02-11 09:11:37

49

Views

Verify proof: absolutely continuous function convex if gradient monotone wherever it exists

Published on 11 Feb 2024 - 9:11

score 250 · Answer 9 · 2026-03-25 04:35:02

250

Views

When do two functions have the same subdifferentials?

Published on 25 Mar 2026 - 4:35

score 17 · Answer 10 · 2024-02-18 20:40:30

17

Views

Swap integral and subgradient for convex functions

Published on 18 Feb 2024 - 20:40

score 21 · Answer 11 · 2024-03-30 15:11:44

21

Views

Example of convex function that does not have subgradient

Published on 30 Mar 2024 - 15:11

score 638 · Answer 12 · 2015-02-07 05:21:49

638

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Subdifferential of a convex function

Published on 07 Feb 2015 - 5:21

score 3.2k · Answer 13 · 2026-03-25 06:05:02

3.2k

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Subgradient of the $\ell_0$ "norm"

Published on 25 Mar 2026 - 6:05

score 146 · Answer 14 · 2015-03-17 18:42:33

146

Views

Dual subgradient method - can we solve approximation of dual?

Published on 17 Mar 2015 - 18:42

score 1k · Answer 15 · 2015-05-14 16:50:32

1k

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Proof of relationship of subgradients of function to convexity of function

Published on 14 May 2015 - 16:50

List Question

Subgradients of piecewise maximum function

Proof that $f(y) \ge f(x) + g^T(y-x)$, for all $y \in U \Rightarrow g \in \partial f(x)$ where U is a open neighborhood of x

Subdifferential of $\sqrt{a(x)_+^2 + b(x)_+^2}$ where $a,b$ are convex

Prove that any subgradient of the hinge loss function $max\lbrace 0, y\langle\mathbf{w}, \mathbf{x}\rangle\rbrace$ is of the form $\alpha\mathbf{x}$

Same result in every iterations from subgradient and proximal gradient method.

Subdifferential of convex functions is nonempty

How to construct a parabola that tangent to the function $\max \left\{ {x,0} \right\}$ and lie above it?

Verify proof: absolutely continuous function convex if gradient monotone wherever it exists

When do two functions have the same subdifferentials?

Swap integral and subgradient for convex functions

Example of convex function that does not have subgradient

Subdifferential of a convex function

Subgradient of the $\ell_0$ "norm"

Dual subgradient method - can we solve approximation of dual?

Proof of relationship of subgradients of function to convexity of function

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