Efficiency of higher-order algorithms for minimizing composite functions

High-Order Optimization Methods for Fully Composite Problems

(2022) Nikita Doikov et al.   SIAM JOURNAL ON OPTIMIZATION

Inexact basic tensor methods for some classes of convex optimization problems

(2020) Yurii Nesterov   OPTIMIZATION METHODS & SOFTWARE

On the use of third-order models with fourth-order regularization for unconstrained optimization

(2019) E. G. Birgin et al.   Optimization Letters

The multiproximal linearization method for convex composite problems

(2019) Jérôme Bolte et al.   MATHEMATICAL PROGRAMMING

Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems

(2019) Nicholas I. M. Gould et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Implementable tensor methods in unconstrained convex optimization

(2019) Yurii Nesterov   MATHEMATICAL PROGRAMMING

A concise second-order complexity analysis for unconstrained optimization using high-order regularized models

(2019) C. Cartis et al.   OPTIMIZATION METHODS & SOFTWARE

Linear convergence of first order methods for non-strongly convex optimization

(2018) I. Necoara et al.   MATHEMATICAL PROGRAMMING

Efficiency of minimizing compositions of convex functions and smooth maps

(2018) D. Drusvyatskiy et al.   MATHEMATICAL PROGRAMMING

Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models

(2016) E. G. Birgin et al.   MATHEMATICAL PROGRAMMING

The value function approach to convergence analysis in composite optimization

(2016) Edouard Pauwels   OPERATIONS RESEARCH LETTERS

Incremental Majorization-Minimization Optimization with Application to Large-Scale Machine Learning

(2015) Julien Mairal   SIAM JOURNAL ON OPTIMIZATION

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

(2013) Jérôme Bolte et al.   MATHEMATICAL PROGRAMMING

Gradient methods for minimizing composite functions

(2012) Yu. Nesterov   MATHEMATICAL PROGRAMMING