3 papers
math.OC2025
A Composed Alternating Relaxed Projection Algorithm for Feasibility Problem
Yuting Shen, Jingwei Liang
Feasibility problem aims to find a common point of two or more closed (convex) sets whose intersection is nonempty. In the literature, projection based algorithms are widely adopte…
math.OC2025
Model Consistency of the Iterative Regularization of Dual Ascent for Low-Complexity Regularization
Jie Gao, Cesare Molinari, Silvia Villa +1
Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include varia…
math.OC2025
Partial Smoothness, Subdifferentials and Set-valued Operators
Ziqi Qin, Jingwei Liang
Over the past decades, the concept "partial smoothness" has been playing as a powerful tool in several fields involving nonsmooth analysis, such as nonsmooth optimization, inverse…