316 citations · 903 across the 32 of their papers we have counts for
4 papers · 2 filters
Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems
Guoyin Li, Ting Kei Pong
We adapt the Douglas-Rachford (DR) splitting method to solve nonconvex feasibility problems by studying this method for a class of nonconvex optimization problem. While the converg…
A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure
Shenglong Hu, Guoyin Li, Liqun Qi
Yuan's theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system invol…
Global convergence of splitting methods for nonconvex composite optimization
Guoyin Li, Ting Kei Pong
We consider the problem of minimizing the sum of a smooth function with a bounded Hessian, and a nonsmooth function. We assume that the latter function is a composition of a pr…
Robust Solutions to Multi-Objective Linear Programs with Uncertain Data
M. A. Goberna, V. Jeyakumar, G. Li +1
In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula…