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A proximal method for composite minimization (Q304260)

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Language	Label	Description	Also known as
English	A proximal method for composite minimization	scientific article

Statements

scholarly article

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A proximal method for composite minimization (English)

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Adrian S. Lewis

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Stephen J. Wright

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Mathematical Programming. Series A. Series B

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publication date

25 August 2016

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full work available at URL

https://arxiv.org/abs/0812.0423

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zbMATH Keywords

prox-regular functions

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polyhedral convex functions

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sparse optimization

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global convergence

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active constraint identification

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Generic Optimality Conditions for Semialgebraic Convex Programs

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Descent methods for composite nondifferentiable optimization problems

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On the Identification of Active Constraints II: The Nonconvex Case

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On the Identification of Active Constraints

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On the Convergence of Successive Linear-Quadratic Programming Algorithms

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A Singular Value Thresholding Algorithm for Matrix Completion

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Exact matrix completion via convex optimization

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Atomic Decomposition by Basis Pursuit

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Proximal Methods for Cohypomonotone Operators

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Signal Recovery by Proximal Forward-Backward Splitting

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Geometrical interpretation of the predictor-corrector type algorithms in structured optimization problems

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Metric regularity and systems of generalized equations

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The radius of metric regularity

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Least angle regression. (With discussion)

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Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties

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Nonlinear programming and nonsmooth optimization by successive linear programming

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On the superlinear convergence of a trust region algorithm for nonsmooth optimization

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A generalized proximal point algorithm for certain non-convex minimization problems

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Fixed-Point Continuation for $\ell_1$-Minimization: Methodology and Convergence

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Inexact Variants of the Proximal Point Algorithm without Monotonicity

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Exact and Approximate Sparse Solutions of Underdetermined Linear Equations

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Proximal point methods and nonconvex optimization

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Bundle-level type methods uniformly optimal for smooth and nonsmooth convex optimization

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The 𝒰-Lagrangian of a convex function

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Lipschitzian Multifunctions and a Lipschitzian Inverse Mapping Theorem

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Active Sets, Nonsmoothness, and Sensitivity

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Minimum-support solutions of polyhedral concave programs<sup>*</sup>

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A \(\mathcal{VU}\)-algorithm for convex minimization

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Newton methods for nonsmooth convex minimization: connections among \(\mathcal U\)-Lagrangian, Riemannian Newton and SQP methods

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Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity

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Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

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Monotone Operators and the Proximal Point Algorithm

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Convex Analysis

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Variational Analysis

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Nonlinear total variation based noise removal algorithms

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Composite proximal bundle method

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On a Class of Nonsmooth Composite Functions

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LASSO-pattern search algorithm with application to ophthalmology and genomic data

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Submonotone mappings and the proximal point algorithm

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A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation

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Convergence of an Inexact Algorithm for Composite Nonsmooth Optimization

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Identifiable Surfaces in Constrained Optimization

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Sparse Reconstruction by Separable Approximation

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Conditions for convergence of trust region algorithms for nonsmooth optimization

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Nearly unbiased variable selection under minimax concave penalty

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Identifiers

zbMATH Open document ID

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10.1007/s10107-015-0943-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:304260

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