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Question about Interior of $S^n_+$ (semi definite positive matrices)

score 138 · Answer 1 · 2026-03-26 09:17:48

138

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Question about Interior of $S^n_+$ (semi definite positive matrices)

Published on 26 Mar 2026 - 9:17

score 75 · Answer 2 · 2026-04-10 23:14:57

75

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Is the minimum eigenvalue a convex function?

Published on 10 Apr 2026 - 23:14

score 34 · Answer 3 · 2026-03-26 22:16:24

34

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Can the functions $\|y-A x\|_1$ or $\|y-A x\|_\infty$ ever be affine over $x \geq 0$ given certain structure on $A$?

Published on 26 Mar 2026 - 22:16

score 34 · Answer 4 · 2026-04-13 06:16:45

34

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Estimate a vector given pairwise differences

Published on 13 Apr 2026 - 6:16

score 42 · Answer 5 · 2026-04-13 04:29:06

42

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Confused about the definition of internal angle of a face $F \subseteq$ polytope $G$.

Published on 13 Apr 2026 - 4:29

score 65 · Answer 6 · 2026-03-25 22:10:10

65

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Advantage of Exponentiated Gradient over Gradient Descent

Published on 25 Mar 2026 - 22:10

score 101 · Answer 7 · 2026-04-10 03:24:08

101

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Writing a point in convex hull as convex combinations of determined points

Published on 10 Apr 2026 - 3:24

score 57 · Answer 8 · 2026-03-30 03:55:31

57

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Suppose that $f − \frac{1}{2}m||x||^2$ is convex where $f$ is differentiable.

Published on 30 Mar 2026 - 3:55

score 43 · Answer 9 · 2026-04-10 21:03:42

43

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Proof for strongly convex functions

Published on 10 Apr 2026 - 21:03

score 70 · Answer 10 · 2026-03-30 03:55:40

70

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Show that if $ 0 < c2 < c1 < 1$, there may be no step lengths that satisfy the Wolfe conditions.

Published on 30 Mar 2026 - 3:55

score 36 · Answer 11 · 2026-04-12 09:52:40

36

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If $f$ is a submodular function, does $g(k) = \max_{|A| = k}f(A)$ have diminishing returns?

Published on 12 Apr 2026 - 9:52

score 63 · Answer 12 · 2023-10-19 08:40:52

63

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Proof that $(\nabla f(x) - \nabla f(y))^T(x-y) \ge 0 \ \forall \ x, y \Rightarrow f$ is convex

Published on 19 Oct 2023 - 8:40

score 32 · Answer 13 · 2026-04-10 18:56:28

32

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How to find the numerical solution to this convex problem?

Published on 10 Apr 2026 - 18:56

score 36 · Answer 14 · 2026-04-11 05:39:06

36

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Can we find the closed-form solution to this optimization problem?

Published on 11 Apr 2026 - 5:39

score 36 · Answer 15 · 2026-04-12 02:33:19

36

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How to handle the equality constraint that cannot be satisfied?

Published on 12 Apr 2026 - 2:33

List Question

Question about Interior of $S^n_+$ (semi definite positive matrices)

Is the minimum eigenvalue a convex function?

Can the functions $\|y-A x\|_1$ or $\|y-A x\|_\infty$ ever be affine over $x \geq 0$ given certain structure on $A$?

Estimate a vector given pairwise differences

Confused about the definition of internal angle of a face $F \subseteq$ polytope $G$.

Advantage of Exponentiated Gradient over Gradient Descent

Writing a point in convex hull as convex combinations of determined points

Suppose that $f − \frac{1}{2}m||x||^2$ is convex where $f$ is differentiable.

Proof for strongly convex functions

Show that if $ 0 < c2 < c1 < 1$, there may be no step lengths that satisfy the Wolfe conditions.

If $f$ is a submodular function, does $g(k) = \max_{|A| = k}f(A)$ have diminishing returns?

Proof that $(\nabla f(x) - \nabla f(y))^T(x-y) \ge 0 \ \forall \ x, y \Rightarrow f$ is convex

How to find the numerical solution to this convex problem?

Can we find the closed-form solution to this optimization problem?

How to handle the equality constraint that cannot be satisfied?

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