Convergence on a symmetric accelerated stochastic ADMM with larger stepsizes

J Bai, D Han, H Sun, H Zhang - arXiv preprint arXiv:2103.16154, 2021 - arxiv.org
In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of
Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear …

An inexact symmetric ADMM algorithm with indefinite proximal term for sparse signal recovery and image restoration problems

F Jiang, Z Wu - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Compared with the alternating direction method of multipliers (ADMM), the symmetric
ADMM, which updates the Lagrange multiplier twice in each iteration, is a more efficient …

A partially proximal S-ADMM for separable convex optimization with linear constraints

Y Shen, Y Zuo, A Yu - Applied Numerical Mathematics, 2021 - Elsevier
A classical approach to solving two-block separable convex optimization could be the
symmetric alternating direction method of multipliers (S-ADMM). However, its convergence …

An inexact ADMM with proximal-indefinite term and larger stepsize

Y Ma, J Bai, H Sun - Applied Numerical Mathematics, 2023 - Elsevier
In this paper, an inexact Alternating Direction Method of Multipliers (ADMM) has been
proposed for solving the two-block separable convex optimization problem subject to linear …

Convergence of Bregman Peaceman–Rachford splitting method for nonconvex nonseparable optimization

PJ Liu, JB Jian, B He, XZ Jiang - … of the Operations Research Society of …, 2023 - Springer
This work is about a splitting method for solving a nonconvex nonseparable optimization
problem with linear constraints, where the objective function consists of two separable …

Iteration complexity analysis of a partial LQP-based alternating direction method of multipliers

J Bai, Y Ma, H Sun, M Zhang - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we consider a prototypical convex optimization problem with multi-block
variables and separable structures. By adding the Logarithmic Quadratic Proximal (LQP) …

Accelerated Stochastic Peaceman–Rachford Method for Empirical Risk Minimization

JC Bai, FM Bian, XK Chang, L Du - … of the Operations Research Society of …, 2023 - Springer
This work is devoted to studying an accelerated stochastic Peaceman–Rachford splitting
method (AS-PRSM) for solving a family of structural empirical risk minimization problems …

A Bregman-Style Improved ADMM and its Linearized Version in the Nonconvex Setting: Convergence and Rate Analyses

PJ Liu, JB Jian, H Shao, XQ Wang, JW Xu… - Journal of the Operations …, 2024 - Springer
This work explores a family of two-block nonconvex optimization problems subject to linear
constraints. We first introduce a simple but universal Bregman-style improved alternating …

An inexact version of the symmetric proximal ADMM for solving separable convex optimization

VA Adona, MLN Gonçalves - Numerical Algorithms, 2023 - Springer
In this paper, we propose and analyze an inexact version of the symmetric proximal
alternating direction method of multipliers (ADMM) for solving linearly constrained …