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math.OC2022
Lifted Stationary Points of Sparse Optimization with Complementarity Constraints
Shisen Liu, Xiaojun Chen
We aim to compute lifted stationary points of a sparse optimization problem (P0) with complementarity constraints. We define a continuous relaxation problem (Rv) that has the same…
math.OC2022
Group sparse optimization for inpainting of random fields on the sphere
Chao Li, Xiaojun Chen
We propose a group sparse optimization model for inpainting of a square-integrable isotropic random field on the unit sphere, where the field is represented by spherical harmonics…
math.OC2022
Optimality conditions for nonsmooth nonconvex-nonconcave min-max problems and generative adversarial networks
Jie Jiang, Xiaojun Chen
This paper considers a class of nonsmooth nonconvex-nonconcave min-max problems in machine learning and games. We first provide sufficient conditions for the existence of global mi…