Inexact Reduced Gradient Methods in Nonconvex Optimization

Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization

(2023) Pham Duy Khanh et al.   MATHEMATICAL PROGRAMMING

Accelerated gradient methods with absolute and relative noise in the gradient

(2023) Artem Vasin et al.   OPTIMIZATION METHODS & SOFTWARE

Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials

(2022) Pham Duy Khanh et al.   JOURNAL OF GLOBAL OPTIMIZATION

A frequency-domain analysis of inexact gradient methods

(2021) Oran Gannot   MATHEMATICAL PROGRAMMING

Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions

(2021) J. V. Burke et al.   Set-Valued and Variational Analysis

Optimization Methods for Large-Scale Machine Learning

(2018) Léon Bottou et al.   SIAM REVIEW

Accelerating the DC algorithm for smooth functions

(2017) Francisco J. Aragón Artacho et al.   MATHEMATICAL PROGRAMMING

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

(2017) Heinz H. Bauschke et al.   MATHEMATICS OF OPERATIONS RESEARCH

Universal gradient methods for convex optimization problems

(2014) Yu Nesterov   MATHEMATICAL PROGRAMMING

Convergence of Non-smooth Descent Methods Using the Kurdyka–Łojasiewicz Inequality

(2013) Dominikus Noll   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

First-order methods of smooth convex optimization with inexact oracle

(2013) Olivier Devolder 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

A Nonderivative Version of the Gradient Sampling Algorithm for Nonsmooth Nonconvex Optimization

(2010) Krzysztof C. Kiwiel   SIAM JOURNAL ON OPTIMIZATION

A global optimization method for the design of space trajectories

(2009) Bernardetta Addis et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Improved Convergence Result for the Discrete Gradient and Secant Methods for Nonsmooth Optimization

(2009) K. C. Kiwiel   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences

Local Linear Convergence for Alternating and Averaged Nonconvex Projections

(2008) A. S. Lewis et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS