Question

Proximal Operator for $g\left(x\right)=\mu{\left\|x\right\|}_1 + I_{\left\|x\right\|_2 \leq 1} \left(x\right)$ ($L_1$ Norm and Unit Ball Constraint)

score 476 · Answer 1 · 2026-03-25 12:28:18

476

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Proximal Operator for $g\left(x\right)=\mu{\left\|x\right\|}_1 + I_{\left\|x\right\|_2 \leq 1} \left(x\right)$ ($L_1$ Norm and Unit Ball Constraint)

Published on 25 Mar 2026 - 12:28

score 2.2k · Answer 2 · 2026-04-08 11:47:45

2.2k

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What is the definition of multidimensional convex function?

Published on 08 Apr 2026 - 11:47

score 1.2k · Answer 3 · 2016-12-17 08:13:05

1.2k

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How to prove that if the level set of f for some level α is non-empty and bounded, then the level set of f for all levels are bounded

Published on 17 Dec 2016 - 8:13

score 184 · Answer 4 · 2016-12-19 02:33:24

184

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If $S$ is the simplex defined by the convex hull of $0$ and vectors $a_1, \ldots, a_p$, how show $Volume(S) = \pm \frac{1}{n!} det(a_1, \ldots, a_p)$?

Published on 19 Dec 2016 - 2:33

score 289 · Answer 5 · 2016-12-19 17:13:45

289

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score 556 · Answer 6 · 2026-03-30 16:00:41

556

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score 668 · Answer 7 · 2026-03-30 16:03:39

668

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1.7k

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score 945 · Answer 9 · 2026-03-29 21:34:20

945

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score 338 · Answer 10 · 2026-03-25 17:25:04

338

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Dual subgradient method - no analytical relation between primal and dual variables.

Published on 25 Mar 2026 - 17:25

score 307 · Answer 11 · 2026-04-08 17:12:10

307

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Published on 08 Apr 2026 - 17:12

score 939 · Answer 12 · 2026-03-30 15:11:41

939

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Published on 30 Mar 2026 - 15:11

score 466 · Answer 13 · 2026-03-25 10:57:21

466

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Proximal Operator of the $ {L}_{2} $ Norm Cubed (Proximal Operator of Norm Composition - Cubic Euclidean Norm)

Published on 25 Mar 2026 - 10:57

score 8k · Answer 14 · 2026-03-26 16:05:25

8k

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What is the intuition behind Slater's condition in optimization? (And other constraint qualifications.)

Published on 26 Mar 2026 - 16:05

score 323 · Answer 15 · 2026-03-29 11:51:50

323

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Why must a function be closed for descent methods to work?

Published on 29 Mar 2026 - 11:51

List Question

Proximal Operator for $g\left(x\right)=\mu{\left\|x\right\|}_1 + I_{\left\|x\right\|_2 \leq 1} \left(x\right)$ ($L_1$ Norm and Unit Ball Constraint)

What is the definition of multidimensional convex function?

How to prove that if the level set of f for some level α is non-empty and bounded, then the level set of f for all levels are bounded

If $S$ is the simplex defined by the convex hull of $0$ and vectors $a_1, \ldots, a_p$, how show $Volume(S) = \pm \frac{1}{n!} det(a_1, \ldots, a_p)$?

Linear programming with uncertainty in parameter(s)

Non-Convex Optimization and Lagrangian Optimization

Finding Gradient and Hessian of Dual Problem

Write a linear optimization problem to find a hyperplane that strictly separates two disjoint polyhedra.

Wolfe vs Wolfe-Powell stopping conditions

Dual subgradient method - no analytical relation between primal and dual variables.

Is this optimization problem called unconstrained quadratic program?

What math courses to do for control theory/signal processing?

Proximal Operator of the $ {L}_{2} $ Norm Cubed (Proximal Operator of Norm Composition - Cubic Euclidean Norm)

What is the intuition behind Slater's condition in optimization? (And other constraint qualifications.)

Why must a function be closed for descent methods to work?

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