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math.OC2025
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…
math.OC2025
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…
math.OC2025
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…