6 papers
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…
A min-max reformulation and proximal algorithms for a class of structured nonsmooth fractional optimization problems
Junpeng Zhou, Na Zhang, Qia Li
In this paper, we consider a class of structured nonsmooth fractional minimization, where the first part of the objective is the ratio of a nonnegative nonsmooth nonconvex function…
An efficient proximal algorithm for squared L1 over L2 regularized sparse recovery
Na Zhang, Hong Chen, Qia Li +1
In this paper, we consider a squared regularized model for sparse signal recovery from noisy measurements. We first establish the existence of optimal solutions to the mo…
Proximal methods for structured nonsmooth optimization over Riemannian submanifolds
Qia Li, Na Zhang, Junyu Feng +1
In this paper, we consider a class of structured nonsmooth optimization problems over an embedded submanifold of a Euclidean space, where the first part of the objective is the sum…