Convergence of Random Reshuffling under the Kurdyka–Łojasiewicz Inequality

Convergence rates of subgradient methods for quasi-convex optimization problems

(2020) Yaohua Hu et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates

(2020) Radu Ioan Boţ et al.   MATHEMATICS OF OPERATIONS RESEARCH

Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview

(2019) Yuejie Chi et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Why random reshuffling beats stochastic gradient descent

(2019) M. Gürbüzbalaban et al.   MATHEMATICAL PROGRAMMING

Global Convergence of ADMM in Nonconvex Nonsmooth Optimization

(2018) Yu Wang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Optimization Methods for Large-Scale Machine Learning

(2018) Léon Bottou et al.   SIAM REVIEW

Inertial Proximal Alternating Linearized Minimization (iPALM) for Nonconvex and Nonsmooth Problems

(2016) Thomas Pock et al.   SIAM Journal on Imaging Sciences

Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems

(2015) Guoyin Li et al.   MATHEMATICAL PROGRAMMING

Global Convergence of Splitting Methods for Nonconvex Composite Optimization

(2015) Guoyin Li et al.   SIAM JOURNAL ON OPTIMIZATION

Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

(2014) Pierre Frankel et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

(2014) Peter Ochs et al.   SIAM Journal on Imaging Sciences

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

(2013) Jérôme Bolte et al.   MATHEMATICAL PROGRAMMING

Information-Theoretic Lower Bounds on the Oracle Complexity of Stochastic Convex Optimization

(2012) Alekh Agarwal et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Incremental proximal methods for large scale convex optimization

(2011) Dimitri P. Bertsekas   MATHEMATICAL PROGRAMMING

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

(2011) Hedy Attouch et al.   MATHEMATICAL PROGRAMMING

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

(2010) Hédy Attouch et al.   MATHEMATICS OF OPERATIONS RESEARCH

Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

(2010) Jérôme Bolte et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY