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Sharpness, Restart, and Acceleration (Q5210521)

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scientific article; zbMATH DE number 7154041

Language	Label	Description	Also known as
English	Sharpness, Restart, and Acceleration	scientific article; zbMATH DE number 7154041

Statements

scholarly article

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Sharpness, Restart, and Acceleration (English)

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Alexandre d'Aspremont

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SIAM Journal on Optimization

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publication date

21 January 2020

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full work available at URL

https://arxiv.org/abs/1702.03828

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zbMATH Keywords

error bounds

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sharpness

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restart

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accelerated methods

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

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Global Regularity Theorems

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A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

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Smoothing and First Order Methods: A Unified Framework

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Semianalytic and subanalytic sets

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The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

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From error bounds to the complexity of first-order descent methods for convex functions

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Proximal alternating linearized minimization for nonconvex and nonsmooth problems

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Weak Sharp Minima in Mathematical Programming

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Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods

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Restarting the accelerated coordinate descent method with a rough strong convexity estimate

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Adaptive restart of accelerated gradient methods under local quadratic growth condition

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Splitting methods with variable metric for Kurdyka-Łojasiewicz functions and general convergence rates

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New computational guarantees for solving convex optimization problems with first order methods, via a function growth condition measure

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First-order algorithm with \({\mathcal{O}(\ln(1/\epsilon))}\) convergence for \({\epsilon}\)-equilibrium in two-person zero-sum games

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On semi- and subanalytic geometry

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Relatively Smooth Convex Optimization by First-Order Methods, and Applications

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A Condition Number for Differentiable Convex Inequalities

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Optimal methods of smooth convex minimization

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Smooth minimization of non-smooth functions

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Gradient methods for minimizing composite functions

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Introductory lectures on convex optimization. A basic course.

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Universal gradient methods for convex optimization problems

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Adaptive restart for accelerated gradient schemes

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A simple nearly optimal restart scheme for speeding up first-order methods

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An Application of Error Bounds for Convex Programming in a Linear Space

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Computational complexity versus statistical performance on sparse recovery problems

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Identifiers

zbMATH Open document ID

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10.1137/18M1224568

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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:5210521

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