List questions from convex-optimization

Published on 27 Mar 2026 - 16:21

77

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Proof that this set is/isnt convex

Published on 26 Mar 2026 - 22:51

1.3k

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Convexity of Log-Sum-Exp

Published on 10 Mar 2020 - 23:44

34

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Is the following formula convex or concave?

Published on 11 Mar 2020 - 7:23

90

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Boundary of an open convex cone in $\mathbb R^5$

Published on 11 Mar 2020 - 11:24

488

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Optimization with parametric constraints: solution maps

Published on 02 Apr 2026 - 7:49

299

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Converting a quadratically constrained optimization problem into a standard semidefinite program

Published on 25 Mar 2026 - 8:05

146

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Lp Norm Conjugacy

Published on 12 Mar 2020 - 9:20

1.1k

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Proximal Operator of $ f \left( x \right) = {\left\| A x \right\|}_{2} $ Where $ A $ Is Diagonal Matrix (Weighted $ {L}_{2} $ Norm)

Published on 25 Mar 2026 - 7:44

125

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Jensen's inequality and convex Lagrangian

Published on 23 Feb 2026 - 10:17

25

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$[A^{-1}(\mathbb{R} ^m _{-})]^* = A^{T}(\mathbb{R} ^m _{+})$ polar cone

Published on 25 Mar 2026 - 8:07

126

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Analytic solution of $\underset{x \in [0, 1]^m,\;\|x-a\|_1 \le \varepsilon}{\text{arg}\max}\;x^Tb$ where $a \in [0, 1]^m$ and $b \in \mathbb R^m$

Published on 27 Mar 2026 - 0:59

162

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Proof of strongly convex condition

Published on 18 Mar 2020 - 1:25

63

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ADMM formulation

Published on 18 Mar 2020 - 7:18

525

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Convex relaxation of eikonal equation: $\|\nabla f\|_2\leq1$

Published on 26 Mar 2026 - 6:31

List Question

Unbounded subdifferential of a convex functional

Proof that this set is/isnt convex

Convexity of Log-Sum-Exp

Is the following formula convex or concave?

Boundary of an open convex cone in $\mathbb R^5$

Optimization with parametric constraints: solution maps

Converting a quadratically constrained optimization problem into a standard semidefinite program

Lp Norm Conjugacy

Proximal Operator of $ f \left( x \right) = {\left\| A x \right\|}_{2} $ Where $ A $ Is Diagonal Matrix (Weighted $ {L}_{2} $ Norm)

Jensen's inequality and convex Lagrangian

$[A^{-1}(\mathbb{R} ^m _{-})]^* = A^{T}(\mathbb{R} ^m _{+})$ polar cone

Analytic solution of $\underset{x \in [0, 1]^m,\;\|x-a\|_1 \le \varepsilon}{\text{arg}\max}\;x^Tb$ where $a \in [0, 1]^m$ and $b \in \mathbb R^m$

Proof of strongly convex condition

ADMM formulation

Convex relaxation of eikonal equation: $\|\nabla f\|_2\leq1$

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