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math.OC2025
A Globalized Semismooth Newton Method for Prox-regular Optimization Problems
Yuqia Wu, Pengcheng Wu, Yaohua Hu +2
We are concerned with a class of nonconvex and nonsmooth composite optimization problems, comprising a twice differentiable function and a prox-regular function. We establish a suf…
math.OC2025
Lipschitz continuity of solution multifunctions of extended regularization problems
Kaiwen Meng, Pengcheng Wu, Xiaoqi Yang
The Lasso and the basis pursuit in compressed sensing and machine learning are convex optimization problems with three parameters: the regularization scalar, the observation vector…
math.OC2025
Relative Well-Posedness of Truncated Constrained Systems Accompanied by Variational Calculus
Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang
The paper concerns foundations of sensitivity and stability analysis in optimization and related areas, being primarily addressed truncated constrained systems. We consider general…