Question

How important is the ratio of negative eigenvalues to the convexity of the optimization objective?

score 90 · Answer 1 · 2026-03-26 22:15:24

90

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How important is the ratio of negative eigenvalues to the convexity of the optimization objective?

Published on 26 Mar 2026 - 22:15

score 60 · Answer 2 · 2019-01-23 13:13:16

60

Views

Why do these two elements exist and satisfy this equation?

Published on 23 Jan 2019 - 13:13

score 200 · Answer 3 · 2019-01-25 08:38:22

200

Views

ADMM - proximal vs. augmented lagrangian interpretation: stuck on algebraic step :(

Published on 25 Jan 2019 - 8:38

score 135 · Answer 4 · 2026-03-26 09:41:51

135

Views

Solve $\min_{x} \frac{1}{N}\sum_{i=1}^{N} f_i(x_i) + g(x)$ $\ {\rm s.t.} Ax = b$; $x = [x_1,\ldots,x_N]^T$ and $A \in \mathbb{R}^{M \times N}$.

Published on 26 Mar 2026 - 9:41

score 68 · Answer 5 · 2019-01-26 11:01:42

68

Views

Convexity and likelihood

Published on 26 Jan 2019 - 11:01

score 163 · Answer 6 · 2026-03-26 18:59:13

163

Views

scaling eigenvalues in matrix A (state space form)

Published on 26 Mar 2026 - 18:59

score 41 · Answer 7 · 2019-01-27 22:35:06

41

Views

Plot a convex set

Published on 27 Jan 2019 - 22:35

score 62 · Answer 8 · 2026-03-27 14:44:39

62

Views

A theorem about convex function

Published on 27 Mar 2026 - 14:44

score 149 · Answer 9 · 2019-01-28 14:07:01

149

Views

Under what conditions the following constraint is convex?

Published on 28 Jan 2019 - 14:07

score 555 · Answer 10 · 2026-03-29 15:37:13

555

Views

Proving certificate of optimality

Published on 29 Mar 2026 - 15:37

score 59 · Answer 11 · 2026-03-25 06:19:27

59

Views

Help needed in understanding the following Lemma

Published on 25 Mar 2026 - 6:19

score 501 · Answer 12 · 2026-03-25 11:00:08

501

Views

Dual gradient ascent vs Primal Interior Point methods

Published on 25 Mar 2026 - 11:00

score 48 · Answer 13 · 2019-01-29 09:00:13

48

Views

Help needed in understanding the following trick in solving the optimization problem

Published on 29 Jan 2019 - 9:00

score 461 · Answer 14 · 2019-01-29 14:46:00

461

Views

Why is the affine function $f(x) = a^T x + b$ log-concave on $\{x | a^Tx + b \gt 0\}$?

Published on 29 Jan 2019 - 14:46

score 40 · Answer 15 · 2019-01-30 13:47:47

40

Views

Why does differentiability imply this function is negative?

Published on 30 Jan 2019 - 13:47

List Question

How important is the ratio of negative eigenvalues to the convexity of the optimization objective?

Why do these two elements exist and satisfy this equation?

ADMM - proximal vs. augmented lagrangian interpretation: stuck on algebraic step :(

Solve $\min_{x} \frac{1}{N}\sum_{i=1}^{N} f_i(x_i) + g(x)$ $\ {\rm s.t.} Ax = b$; $x = [x_1,\ldots,x_N]^T$ and $A \in \mathbb{R}^{M \times N}$.

Convexity and likelihood

scaling eigenvalues in matrix A (state space form)

Plot a convex set

A theorem about convex function

Under what conditions the following constraint is convex?

Proving certificate of optimality

Help needed in understanding the following Lemma

Dual gradient ascent vs Primal Interior Point methods

Help needed in understanding the following trick in solving the optimization problem

Why is the affine function $f(x) = a^T x + b$ log-concave on $\{x | a^Tx + b \gt 0\}$?

Why does differentiability imply this function is negative?

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