109 citations · 178 across the 8 of their papers we have counts for
8 papers
The Global R-linear Convergence of Nesterov's Accelerated Gradient Method with Unknown Strongly Convex Parameter
Chenglong Bao, Liang Chen, Jiahong Li
The Nesterov accelerated gradient (NAG) method is an important extrapolation-based numerical algorithm that accelerates the convergence of the gradient descent method in convex opt…
A Unified Convergence Analysis of a Second-Order Method of Multipliers for Nonlinear Conic Programming
Liang Chen, Junyuan Zhu, Xinyuan Zhao
In this paper, we accomplish a unified convergence analysis of a second-order method of multipliers (i.e., a second-order augmented Lagrangian method) for solving the conventional…
A Unified Algorithmic Framework of Symmetric Gauss-Seidel Decomposition based Proximal ADMMs for Convex Composite Programming
Liang Chen, Defeng Sun, Kim-Chuan Toh +1
This paper aims to present a fairly accessible generalization of several symmetric Gauss-Seidel decomposition based multi-block proximal alternating direction methods of multiplier…
A three-operator splitting perspective of a three-block ADMM for convex quadratic semidefinite programming and extensions
Xiaokai Chang, Liang Chen, Sanyang Liu
In recent years, several convergent multi-block variants of the alternating direction method of multipliers (ADMM) have been proposed for solving the convex quadratic semidefinite…
On the Equivalence of Inexact Proximal ALM and ADMM for a Class of Convex Composite Programming
Liang Chen, Xudong Li, Defeng Sun +1
In this paper, we show that for a class of linearly constrained convex composite optimization problems, an (inexact) symmetric Gauss-Seidel based majorized multi-block proximal alt…
A Generalized Alternating Direction Method of Multipliers with Semi-Proximal Terms for Convex Composite Conic Programming
Yunhai Xiao, Liang Chen, Donghui Li
In this paper, we propose a generalized alternating direction method of multipliers (ADMM) with semi-proximal terms for solving a class of convex composite conic optimization probl…
A Note on the Convergence of ADMM for Linearly Constrained Convex Optimization Problems
Liang Chen, Defeng Sun, Kim-Chuan Toh
This note serves two purposes. Firstly, we construct a counterexample to show that the statement on the convergence of the alternating direction method of multipliers (ADMM) for so…
An Efficient Inexact Symmetric Gauss-Seidel Based Majorized ADMM for High-Dimensional Convex Composite Conic Programming
Liang Chen, Defeng Sun, Kim-Chuan Toh
In this paper, we propose an inexact multi-block ADMM-type first-order method for solving a class of high-dimensional convex composite conic optimization problems to moderate accur…