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math.OC2026
Proximal-Linearized NEP Method for Composite Optimization with Set-Inclusion and Manifold Constraints
Hao He, Ruyu Liu, Shaohua Pan
This paper focuses on difference-of-convex (DC) composite optimization problems with set-inclusion and manifold constraints. We develop an inexact proximal-linearized nonsmooth exa…
math.OC2026
A Relaxation Method for Nonsmooth Nonlinear Optimization with Binary Constraints
Lianghai Xiao, Yitian Qian, Shaohua Pan
We study binary optimization problems of the form \( \min_{x\in\{-1,1\}^n} f(Ax-b) \) with possibly nonsmooth loss \(f\). Following the lifted rank-one semidefinite programming (SD…