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20112026
most citedAlternating Direction Method of Multipliers for A Class of Nonconvex and Nonsmooth Problems with Applications to Background/Foreground Extraction

10 citations · 31 across the 17 of their papers we have counts for

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18 papers

math.NA2026

Marcinkiewicz-Zygmund inequalities for hemispherical -designs

Chao Li, Xiaojun Chen

In this paper, we introduce a new set of -orthogonal polynomials on the hemisphere $\mathbb{S}^d_+:=\{\mathbf{x}\in\mathbb{R}^{d+1}:\|\mathbf{x}\|=1, \mathbf{x}\cdot\…

math.OC2022

Tight Error Bounds for the Sign-Constrained Stiefel Manifold

Xiaojun Chen, Yifan He, Zaikun Zhang

The sign-constrained Stiefel manifold in is a segment of the Stiefel manifold with fixed signs (nonnegative or nonpositive) for some columns of the matrice…

math.OC2022

Anderson Acceleration for Nonsmooth Fixed Point Problems

Wei Bian, Xiaojun Chen

We give new convergence results of Anderson acceleration for the composite fixed point problem. We prove that Anderson(1) and EDIIS(1) are q-linear convergent with a smaller…

math.OC2022

An Optimal Control Problem with Terminal Stochastic Linear Complementarity Constraints

Jianfeng Luo, Xiaojun Chen

In this paper, we investigate an optimal control problem with terminal stochastic linear complementarity constraints (SLCC), and its discrete approximation using the relaxation, th…

math.OC2021★ 3 cited

A Riemannian smoothing steepest descent method for non-Lipschitz optimization on submanifolds

Chao Zhang, Xiaojun Chen, Shiqian Ma

In this paper, we propose a Riemannian smoothing steepest descent method to minimize a nonconvex and non-Lipschitz function on submanifolds. The generalized subdifferentials on Rie…

math.OC2021

Pure Characteristics Demand Models and Distributionally Robust Mathematical Programs with Stochastic Complementarity Constraints

Jie Jiang, Xiaojun Chen

We formulate pure characteristics demand models under uncertainties of probability distributions as distributionally robust mathematical programs with stochastic complementarity co…