2 papers
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…
math.OC2025
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint
Yitian Qian, Shaohua Pan, Lianghai Xiao
This paper is concerned with a class of optimization problems with the nonnegative orthogonal constraint, in which the objective function is -smooth on an open set containing th…