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scientific article; zbMATH DE number 7255114

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7255114

Statements

scholarly article

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publication date

5 October 2020

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full work available at URL

https://jmlr.csail.mit.edu/papers/v21/18-562.html

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zbMATH Keywords

convex programming

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variational analysis

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alternating direction method of multipliers

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linear convergence

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calmness

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metric subregularity

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machine learning

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MaRDI profile type

MaRDI publication profile

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Local Linear Convergence of the ADMM/Douglas--Rachford Algorithms without Strong Convexity and Application to Statistical Imaging

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Convex analysis and monotone operator theory in Hilbert spaces

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On the Douglas-Rachford algorithm

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Simultaneous Regression Shrinkage, Variable Selection, and Supervised Clustering of Predictors with OSCAR

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On the convergence of primal-dual hybrid gradient algorithms for total variation image restoration

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Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

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A first-order primal-dual algorithm for convex problems with applications to imaging

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Faster Convergence Rates of Relaxed Peaceman-Rachford and ADMM Under Regularity Assumptions

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On the global and linear convergence of the generalized alternating direction method of multipliers

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On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables

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On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

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A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science

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Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints

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A dual algorithm for the solution of nonlinear variational problems via finite element approximation

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First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings

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On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs

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Lipschitz and Hölder stability of optimization problems and generalized equations

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New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis

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Linear Convergence and Metric Selection for Douglas-Rachford Splitting and ADMM

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On Alternating Direction Methods of Multipliers: A Historical Perspective

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On the Convergence of the Proximal Point Algorithm for Convex Minimization

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Mathematical Programs with Geometric Constraints in Banach Spaces: Enhanced Optimality, Exact Penalty, and Sensitivity

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Local Linear Convergence of the Alternating Direction Method of Multipliers for Quadratic Programs

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Linear Rate Convergence of the Alternating Direction Method of Multipliers for Convex Composite Programming

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Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities

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On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method

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Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective

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On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers

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A new inexact alternating directions method for monotone variational inequalities

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Navigating in a Graph by Aid of Its Spanning Tree Metric

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On the Convergence of Primal-Dual Hybrid Gradient Algorithm

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Calmness of constraint systems with applications

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On the Calmness of a Class of Multifunctions

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Constrained Minima and Lipschitzian Penalties in Metric Spaces

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Sparse regression using mixed norms

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Metric subregularity and the proximal point method

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A Majorized ADMM with Indefinite Proximal Terms for Linearly Constrained Convex Composite Optimization

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Local convergence properties of Douglas-Rachford and alternating direction method of multipliers

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Variable selection in regression with compositional covariates

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Linearized alternating direction method with parallel splitting and adaptive penalty for separable convex programs in machine learning

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Splitting Algorithms for the Sum of Two Nonlinear Operators

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Partial Error Bound Conditions and the Linear Convergence Rate of the Alternating Direction Method of Multipliers

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On the Linear Convergence of Descent Methods for Convex Essentially Smooth Minimization

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Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers

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Stability Theory for Systems of Inequalities. Part I: Linear Systems

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Strongly Regular Generalized Equations

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Some continuity properties of polyhedral multifunctions

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Convex Analysis

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Monotone Operators and the Proximal Point Algorithm

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Regression analysis for microbiome compositional data

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A modified alternating direction method for convex quadratically constrained quadratic semidefinite programs

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The generalized proximal point algorithm with step size 2 is not necessarily convergent

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On Glowinski's open question on the alternating direction method of multipliers

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Convergence of Proximal-Like Algorithms

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Sparsity and Smoothness Via the Fused Lasso

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Approximation accuracy, gradient methods, and error bound for structured convex optimization

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A primal–dual hybrid gradient method for nonlinear operators with applications to MRI

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The Linearized Alternating Direction Method of Multipliers for Dantzig Selector

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Alternating direction augmented Lagrangian methods for semidefinite programming

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Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization

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Linear Convergence of the Alternating Direction Method of Multipliers for a Class of Convex Optimization Problems

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Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints

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Enhanced Karush-Kuhn-Tucker condition and weaker constraint qualifications

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Model Selection and Estimation in Regression with Grouped Variables

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Identifiers

zbMATH Open document ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4969143

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