Question

How would one show that the convex combinations of points from a convex set are also in that convex set.

score 748 · Answer 1 · 2020-03-06 01:08:23

748

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How would one show that the convex combinations of points from a convex set are also in that convex set.

Published on 06 Mar 2020 - 1:08

score 168 · Answer 2 · 2026-03-25 14:25:31

168

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Solving a Variation of Linear Least Squares - $\arg\min_{x} \frac{1}{2} {\left\| \left( \sum_{i} {A}_{i} x {b}_{i}^{T} \right) - C \right\|}_{F}^{2}$

Published on 25 Mar 2026 - 14:25

score 488 · Answer 3 · 2026-03-26 01:26:51

488

Views

Fixed Point Iteration for the Gradient of Smooth Convex Function

Published on 26 Mar 2026 - 1:26

score 52 · Answer 4 · 2020-03-07 06:18:43

52

Views

Finding a specific solution to $X^T\Sigma X = D$

Published on 07 Mar 2020 - 6:18

score 178 · Answer 5 · 2026-03-25 22:10:38

178

Views

Condition for existence of unique solution for logistic regression

Published on 25 Mar 2026 - 22:10

score 14 · Answer 6 · 2026-03-03 08:40:45

14

Views

dual pairing and separation

Published on 03 Mar 2026 - 8:40

score 20 · Answer 7 · 2020-03-07 14:05:53

20

Views

dual cone and functionals

Published on 07 Mar 2020 - 14:05

score 23 · Answer 8 · 2026-03-29 08:18:26

23

Views

Can one show a relation between two Lagrange multipliers of similar convex optimization problems?

Published on 29 Mar 2026 - 8:18

score 544 · Answer 9 · 2026-03-26 22:54:18

544

Views

two dimensional unit ball as the intersection of a collection of closed half spaces.

Published on 26 Mar 2026 - 22:54

score 143 · Answer 10 · 2026-03-27 00:59:02

143

Views

Does every ball of a boundary point of a convex set contain interior points?

Published on 27 Mar 2026 - 0:59

score 250 · Answer 11 · 2026-03-25 08:08:37

250

Views

linear independence, convex hull, and cone

Published on 25 Mar 2026 - 8:08

score 33 · Answer 12 · 2026-03-28 06:00:30

33

Views

Is there any way to find the supremum of $\lim_{x \to 0} \sup_x \frac{{\operatorname{erfc}(x)\log (\operatorname{erfc}(x))}}{{{x^2}}}$

Published on 28 Mar 2026 - 6:00

score 109 · Answer 13 · 2020-03-09 05:33:03

109

Views

Is the solution of a linear combination of convex functions the Pareto optimal?

Published on 09 Mar 2020 - 5:33

score 524 · Answer 14 · 2026-04-02 21:01:20

524

Views

Closed form solution for quadratic optimization

Published on 02 Apr 2026 - 21:01

score 69 · Answer 15 · 2026-03-25 23:13:06

69

Views

$\bar f(y) = f(Ty)$, how to compute the Hessian of $\bar f(y) $?

Published on 25 Mar 2026 - 23:13

List Question

How would one show that the convex combinations of points from a convex set are also in that convex set.

Solving a Variation of Linear Least Squares - $\arg\min_{x} \frac{1}{2} {\left\| \left( \sum_{i} {A}_{i} x {b}_{i}^{T} \right) - C \right\|}_{F}^{2}$

Fixed Point Iteration for the Gradient of Smooth Convex Function

Finding a specific solution to $X^T\Sigma X = D$

Condition for existence of unique solution for logistic regression

dual pairing and separation

dual cone and functionals

Can one show a relation between two Lagrange multipliers of similar convex optimization problems?

two dimensional unit ball as the intersection of a collection of closed half spaces.

Does every ball of a boundary point of a convex set contain interior points?

linear independence, convex hull, and cone

Is there any way to find the supremum of $\lim_{x \to 0} \sup_x \frac{{\operatorname{erfc}(x)\log (\operatorname{erfc}(x))}}{{{x^2}}}$

Is the solution of a linear combination of convex functions the Pareto optimal?

Closed form solution for quadratic optimization

$\bar f(y) = f(Ty)$, how to compute the Hessian of $\bar f(y) $?

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