List questions from proximal-operators

114

Views

Why does $f:\mathbb{R}^n\rightarrow\mathbb{R}\cup\{\infty\}$ closed, proper, convex imply that $f(x)+\|Ax-b\|^2$ attains a minimum?

Published on 03 Jun 2021 - 10:03

113

Views

Proof that the difference between the input and output of the proximal operator belongs to the subdifferential

Published on 07 Jul 2021 - 2:29

135

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Finding proximal operator of the distance function to a closed convex set

Published on 20 Aug 2021 - 8:20

183

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Proximal operator of the difference of negative entropy and squared norm

Published on 15 Sep 2021 - 15:10

214

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What is proximal operator of nuclear norm in weighted space? (variable metric)

Published on 25 Mar 2026 - 12:52

573

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Proximal Gradient Descent

Published on 26 Mar 2022 - 11:19

108

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Optimality condition of proximal gradient

Published on 28 Mar 2022 - 6:11

55

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Encoding line search condition into the proximal gradient subproblem

Published on 05 Apr 2022 - 6:00

94

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How to derive the proximal operator for a squared error

Published on 15 Apr 2022 - 12:01

805

Views

The Proximal (Prox) Operator of the $ {L}_{0} $ Pseudo Norm Function

Published on 17 Apr 2022 - 11:17

46

Views

$l_1$ and $l_2$ norm minimization with a constraint

Published on 12 May 2022 - 7:34

375

Views

Proximal operator for an $L$-smooth but nonconvex function

Published on 17 May 2022 - 6:41

66

Views

Primal updates for augmented Lagrangian in ADMM

Published on 29 May 2022 - 15:45

210

Views

Convergence of Proximal Gradient Descent

Published on 05 Jul 2022 - 14:01

45

Views

Proximal operator for ratio of $\ell_1$, $\ell_2$ norms

Published on 27 Jul 2022 - 17:49

List Question

Why does $f:\mathbb{R}^n\rightarrow\mathbb{R}\cup\{\infty\}$ closed, proper, convex imply that $f(x)+\|Ax-b\|^2$ attains a minimum?

Proof that the difference between the input and output of the proximal operator belongs to the subdifferential

Finding proximal operator of the distance function to a closed convex set

Proximal operator of the difference of negative entropy and squared norm

What is proximal operator of nuclear norm in weighted space? (variable metric)

Proximal Gradient Descent

Optimality condition of proximal gradient

Encoding line search condition into the proximal gradient subproblem

How to derive the proximal operator for a squared error

The Proximal (Prox) Operator of the $ {L}_{0} $ Pseudo Norm Function

$l_1$ and $l_2$ norm minimization with a constraint

Proximal operator for an $L$-smooth but nonconvex function

Primal updates for augmented Lagrangian in ADMM

Convergence of Proximal Gradient Descent

Proximal operator for ratio of $\ell_1$, $\ell_2$ norms

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