4 papers
Convergence analysis of the Riemannian proximal gradient method with inexact oracle
Chao Huang, Xiyuan Xie, Anna Qi +2
We extend the notion of an inexact first-order oracle from the Euclidean setting to Riemannian optimization, and conduct a convergence analysis for the Riemannian proximal gradient…
An Infeasible Method with Feasibility Safeguard for Nonsmooth Composite Optimization Over Manifolds
Xiyua Xie, Qia Li
In this paper, we consider nonsmooth composite optimization over compact embedded submanifolds defined by nonlinear equality constraints. We propose a feasibility-safeguarded inexa…
Local Convergence Analysis of ADMM for Nonconvex Composite Optimization
Xiyuan Xie, Lihua Yang, Qia li
In this paper, we study the local convergence of the standard ADMM scheme for a class of nonconvex composite optimization problems motivated by applications in signal processing an…
Proximal Gradient Descent Ascent Methods for Nonsmooth Nonconvex-Concave Minimax Problems on Riemannian Manifolds
Xiyuan Xie, Qia Li
Nonsmooth nonconvex-concave minimax problems have attracted significant attention due to their wide applications in many fields. In this paper, we consider a class of nonsmooth non…