List questions from convex-optimization

Published on 28 Nov 2016 - 23:58

71

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How to show the concavity of this function (if possible)?

Published on 08 Apr 2026 - 7:49

248

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Proximal Operator of $ \lambda \left\| W \right\|_1 + \gamma \sum_{i=1}^{k} \left\| G_i \right\|_2 $ ($ {L}_{1} $ Norm and Group Regularization)

Published on 25 Mar 2026 - 10:57

1.7k

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Is there an intuition for cyclic monotonicity?

Published on 29 Mar 2026 - 11:43

483

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Can we describe the conic hull of a set with this formula?

Published on 25 Mar 2026 - 22:04

57

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About the definition of convex optimization

Published on 30 Nov 2016 - 6:09

31

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Numerically find approximating matrix

Published on 30 Nov 2016 - 1:11

1.2k

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Reformulate max over min of linear functions as a linear programming

Published on 03 Apr 2026 - 22:36

381

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Reference Request: Does $\lambda_\min\|x\|^2 \leq x^TPx \leq \lambda_\max\|x\|^2$ hold for positive semidefinite matrix?

Published on 03 Apr 2026 - 22:35

470

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dual variable of dual problem is a solution for primal problem in SDP?

Published on 25 Mar 2026 - 11:10

712

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Why is it necessary to have convexity outside the feasible region?

Published on 01 Dec 2016 - 11:27

1.6k

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proof of Slater's condition and strong duality when $\mathrm{relint}\:\mathcal D\ne\mathrm{int}\:\mathcal D$

Published on 01 Dec 2016 - 16:13

140

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Geometric program with posynomial > 1

Published on 27 Mar 2026 - 15:34

3.5k

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Minimizing a quadratic-over-linear fractional function

Published on 29 Mar 2026 - 21:35

2.1k

Views

Quasiconvex fucntions: local minimum is equal to global minimum

Published on 03 Apr 2026 - 22:38

List Question

Question on $\ell_2$ and $\ell_1 $ norms

How to show the concavity of this function (if possible)?

Proximal Operator of $ \lambda \left\| W \right\|_1 + \gamma \sum_{i=1}^{k} \left\| G_i \right\|_2 $ ($ {L}_{1} $ Norm and Group Regularization)

Is there an intuition for cyclic monotonicity?

Can we describe the conic hull of a set with this formula?

About the definition of convex optimization

Numerically find approximating matrix

Reformulate max over min of linear functions as a linear programming

Reference Request: Does $\lambda_\min\|x\|^2 \leq x^TPx \leq \lambda_\max\|x\|^2$ hold for positive semidefinite matrix?

dual variable of dual problem is a solution for primal problem in SDP?

Why is it necessary to have convexity outside the feasible region?

proof of Slater's condition and strong duality when $\mathrm{relint}\:\mathcal D\ne\mathrm{int}\:\mathcal D$

Geometric program with posynomial > 1

Minimizing a quadratic-over-linear fractional function

Quasiconvex fucntions: local minimum is equal to global minimum

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