Accelerated Primal-Dual Proximal Gradient Splitting Methods for Convex-Concave Saddle-Point Problems

H Luo - arXiv preprint arXiv:2407.20195, 2024 - arxiv.org
In this paper, based a novel primal-dual dynamical model with adaptive scaling parameters
and Bregman divergences, we propose new accelerated primal-dual proximal gradient …

A continuous perspective on the inertial corrected primal-dual proximal splitting

H Luo - arXiv preprint arXiv:2405.14098, 2024 - arxiv.org
We give a continuous perspective on the Inertial Corrected Primal-Dual Proximal Splitting
(IC-PDPS) proposed by Valkonen ({\it SIAM J. Optim.}, 30 (2): 1391--1420, 2020) for solving …