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math.OC2026
An Infeasible Method with Feasibility Safeguard for Nonsmooth Composite Optimization Over Manifolds
Xiyua Xie, Qia Li
We study nonsmooth composite optimization over embedded submanifolds defined by nonlinear equality constraints. We propose a feasibility-safeguarded inexact proximal linearized met…
math.OC2026
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…