A Mirror Inertial Forward–Reflected–Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness

This work investigates a Bregman and inertial extension of the forward–reflected–backward algorithm (Malitsky and Tam in SIAM J Optim 30:1451–1472, 2020) applied to structured nonconvex minimization problems under relative smoothness. To this end, the proposed algorithm hinges on two key features: t...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 203; no. 2; pp. 1127 - 1159
Main Authors:	Wang, Ziyuan, Themelis, Andreas, Ou, Hongjia, Wang, Xianfu
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2024
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Engineering Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Theory of Computation 49J53 Relative smoothness 49J52 Forward–reflected–backward splitting Inertia Mordukhovich limiting subdifferential 90C26 Bregman distance Nonsmooth nonconvex optimization
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!