3 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
GLL-type Nonmonotone Descent Methods Revisited under Kurdyka-Łojasiewicz Property
Yitian Qian, Ting Tao, Shaohua Pan +1
The purpose of this paper is to extend the full convergence results of the classic GLL-type (Grippo-Lampariello-Lucidi) nonmonotone methods to nonconvex and nonsmooth optimization.…
math.OC2018
An inexact PAM method for computing Wasserstein barycenter with unknown supports
Yitian Qian, Shaohua Pan
Wasserstein barycenter is the centroid of a collection of discrete probability distributions which minimizes the average of the -Wasserstein distance. This paper focuses on…