Question

Show that any convex combination of $x_1,...,x_k\in K$ is contained in $K$.

score 246 · Answer 1 · 2026-04-17 16:28:31

246

Views

Show that any convex combination of $x_1,...,x_k\in K$ is contained in $K$.

Published on 17 Apr 2026 - 16:28

score 78 · Answer 2 · 2026-04-11 16:59:00

78

Views

problem with gradient descent method for simple convex optimization

Published on 11 Apr 2026 - 16:59

score 76 · Answer 3 · 2026-04-14 12:35:13

76

Views

Why does Radon's 8 theorem not work for $n+1$

Published on 14 Apr 2026 - 12:35

score 77 · Answer 4 · 2026-04-11 21:15:46

77

Views

How to find the squared matrix whose results of mulitplication with another matrix is equal to zero

Published on 11 Apr 2026 - 21:15

score 100 · Answer 5 · 2026-04-16 13:43:01

100

Views

Show that Huber function is in $C^{1,1}_{1/\mu}$

Published on 16 Apr 2026 - 13:43

score 101 · Answer 6 · 2026-04-16 23:55:50

101

Views

If hessian $\nabla^2f(x^)$ is non-singular, there is a radius $r > 0$ such that $\|\nabla^2 f_k^{−1}\| ≤ 2\|\nabla^2f(x^)^{−1}\|$

Published on 16 Apr 2026 - 23:55

score 120 · Answer 7 · 2026-04-16 17:31:07

120

Views

Formulating and solving a Linear/Quadratic Mixed Constraint Problem for a Single Variable using ADMM

Published on 16 Apr 2026 - 17:31

score 20 · Answer 8 · 2026-04-12 00:48:45

20

Views

What's the efficient algorithm to determine whether convex constraints have nonempty feasible region?

Published on 12 Apr 2026 - 0:48

score 34 · Answer 9 · 2026-04-09 17:28:25

34

Views

Growth rate of random smoothing of absolute loss

Published on 09 Apr 2026 - 17:28

score 1k · Answer 10 · 2026-04-16 17:09:03

1k

Views

Convergence of Sequential Quadratic Programming (SQP)

Published on 16 Apr 2026 - 17:09

score 108 · Answer 11 · 2026-04-13 10:39:34

108

Views

Is the gradient map of a convex function convexity preserving?

Published on 13 Apr 2026 - 10:39

score 39 · Answer 12 · 2026-04-21 16:44:05

39

Views

How to characterize the redundancy in the parametric solution to an optimization with parametric constraints that are not independent?

Published on 21 Apr 2026 - 16:44

score 66 · Answer 13 · 2026-04-17 07:01:31

66

Views

Let $x_1,...,x_k \in \mathbb{R}^n$. Assume $0 \not\in conv\{x_1,...,x_k\}$. Show there is a $c\in \mathbb{R}^n$ s.t. $c^Tx_i \geq1$ for all $i\in[k]$.

Published on 17 Apr 2026 - 7:01

score 197 · Answer 14 · 2026-04-10 21:56:00

197

Views

local minima and critical point for a convex function

Published on 10 Apr 2026 - 21:56

score 41 · Answer 15 · 2026-04-11 01:20:36

41

Views

Restrictions to prove quasiconcavity utility function

Published on 11 Apr 2026 - 1:20

List Question

Show that any convex combination of $x_1,...,x_k\in K$ is contained in $K$.

problem with gradient descent method for simple convex optimization

Why does Radon's 8 theorem not work for $n+1$

How to find the squared matrix whose results of mulitplication with another matrix is equal to zero

Show that Huber function is in $C^{1,1}_{1/\mu}$

If hessian $\nabla^2f(x^)$ is non-singular, there is a radius $r > 0$ such that $\|\nabla^2 f_k^{−1}\| ≤ 2\|\nabla^2f(x^)^{−1}\|$

Formulating and solving a Linear/Quadratic Mixed Constraint Problem for a Single Variable using ADMM

What's the efficient algorithm to determine whether convex constraints have nonempty feasible region?

Growth rate of random smoothing of absolute loss

Convergence of Sequential Quadratic Programming (SQP)

Is the gradient map of a convex function convexity preserving?

How to characterize the redundancy in the parametric solution to an optimization with parametric constraints that are not independent?

Let $x_1,...,x_k \in \mathbb{R}^n$. Assume $0 \not\in conv\{x_1,...,x_k\}$. Show there is a $c\in \mathbb{R}^n$ s.t. $c^Tx_i \geq1$ for all $i\in[k]$.

local minima and critical point for a convex function

Restrictions to prove quasiconcavity utility function

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