Question

Show that the set of all $X\in\mathbb{R}^n$ such that $A\cdot X\geq c$ is convex i.e. half planes are convex

score 54 · Answer 1 · 2026-04-04 13:24:06

54

Views

Show that the set of all $X\in\mathbb{R}^n$ such that $A\cdot X\geq c$ is convex i.e. half planes are convex

Published on 04 Apr 2026 - 13:24

score 253 · Answer 2 · 2026-03-29 08:14:51

253

Views

How to get this inequality in Gradient Descent algorithm?

Published on 29 Mar 2026 - 8:14

score 20 · Answer 3 · 2020-02-29 22:53:48

20

Views

Convex functions in probability: $h(\alpha x_1 + (1 - \alpha)x_2) \le \alpha h(x_1) + (1 - \alpha)h(x_2)$

Published on 29 Feb 2020 - 22:53

score 509 · Answer 4 · 2020-02-29 23:58:56

509

Views

Prove or disprove that the set of $n \times n$ positive semidefinite matrices $PSD_n$ is a polyhedral set.

Published on 29 Feb 2020 - 23:58

score 86 · Answer 5 · 2026-04-05 01:14:58

86

Views

On a reference request for a converge theorem regarding gradient descent.

Published on 05 Apr 2026 - 1:14

score 68 · Answer 6 · 2020-03-01 08:25:17

68

Views

Show that the convex set spanned by $P_1,...,P_n$ is the smallest convex set containing those points

Published on 01 Mar 2020 - 8:25

score 562 · Answer 7 · 2026-04-12 16:48:31

562

Views

Projection Theorem for closed convex set

Published on 12 Apr 2026 - 16:48

score 123 · Answer 8 · 2026-03-29 08:18:26

123

Views

Does this lecture note contain an incorrect inequality about convergence of Gradient Descent?

Published on 29 Mar 2026 - 8:18

score 864 · Answer 9 · 2020-03-01 17:55:22

864

Views

Transformation that preserves convexity of domain result in convex function

Published on 01 Mar 2020 - 17:55

score 530 · Answer 10 · 2026-04-12 23:37:38

530

Views

Expressions for the dual of a polyhedral cone

Published on 12 Apr 2026 - 23:37

score 2.8k · Answer 11 · 2026-04-13 00:29:35

2.8k

Views

is $1/x^2$ a convex function

Published on 13 Apr 2026 - 0:29

score 97 · Answer 12 · 2026-04-05 07:52:04

97

Views

Jointly strictly convex vs. marginally strictly convex

Published on 05 Apr 2026 - 7:52

score 108 · Answer 13 · 2026-03-26 22:52:31

108

Views

The relation between the convexity and the monotonicity of a function

Published on 26 Mar 2026 - 22:52

score 109 · Answer 14 · 2026-04-11 19:32:25

109

Views

Show a solution of E-L is in fact minimizing

Published on 11 Apr 2026 - 19:32

score 70 · Answer 15 · 2026-04-05 07:50:10

70

Views

Second order conditions for a minimization problem with equality constraints

Published on 05 Apr 2026 - 7:50

List Question

Show that the set of all $X\in\mathbb{R}^n$ such that $A\cdot X\geq c$ is convex i.e. half planes are convex

How to get this inequality in Gradient Descent algorithm?

Convex functions in probability: $h(\alpha x_1 + (1 - \alpha)x_2) \le \alpha h(x_1) + (1 - \alpha)h(x_2)$

Prove or disprove that the set of $n \times n$ positive semidefinite matrices $PSD_n$ is a polyhedral set.

On a reference request for a converge theorem regarding gradient descent.

Show that the convex set spanned by $P_1,...,P_n$ is the smallest convex set containing those points

Projection Theorem for closed convex set

Does this lecture note contain an incorrect inequality about convergence of Gradient Descent?

Transformation that preserves convexity of domain result in convex function

Expressions for the dual of a polyhedral cone

is $1/x^2$ a convex function

Jointly strictly convex vs. marginally strictly convex

The relation between the convexity and the monotonicity of a function

Show a solution of E-L is in fact minimizing

Second order conditions for a minimization problem with equality constraints

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