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Distributed optimization is often widely attempted and innovated as an attractive and preferred methodology to solve large-scale problems effectively in a localized and coordinated manner. Thus, it is noteworthy that the methodology of…

最优化与控制 · 数学 2021-08-30 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Clarence W. de Silva , Tong Heng Lee

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

系统与控制 · 计算机科学 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linear constraints. The objective function is the sum of a…

最优化与控制 · 数学 2020-10-27 Jianchao Bai , William W. Hager , Hongchao Zhang

We propose a variant of alternating direction method of multiplier (ADMM) to solve constrained trajectory optimization problems. Our ADMM framework breaks a joint optimization into small sub-problems, leading to a low iteration cost and…

机器人学 · 计算机科学 2023-02-28 Ruiqi Ni , Zherong Pan , Xifeng Gao

Alternating Direction Method of Multiplier (ADMM) has been a popular algorithmic framework for separable optimization problems with linear constraints. For numerical ADMM fail to exploit the particular structure of the problem at hand nor…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Risheng Liu , Pan Mu , Jin Zhang

This paper presents centralized and distributed Alternating Direction Method of Multipliers (ADMM) frameworks for solving large-scale nonconvex optimization problems with binary decision variables subject to spanning tree or rooted…

最优化与控制 · 数学 2026-03-10 Yacine Mokhtari

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

最优化与控制 · 数学 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

The alternating direction method of multipliers (ADMM) is widely used to solve large-scale linearly constrained optimization problems, convex or nonconvex, in many engineering fields. However there is a general lack of theoretical…

最优化与控制 · 数学 2015-12-01 Mingyi Hong , Zhi-Quan Luo , Meisam Razaviyayn

This paper focuses on distributed learning-based control of decentralized multi-agent systems where the agents' dynamics are modeled by Gaussian Processes (GPs). Two fundamental problems are considered: the optimal design of experiment for…

系统与控制 · 电气工程与系统科学 2021-04-06 Viet-Anh Le , Truong X. Nghiem

In order to improve the fault diagnosis capability of multivariate statistical methods, this article introduces a fault isolation framework based on structured sparsity modeling. The developed method relies on the reconstruction based…

应用统计 · 统计学 2020-12-22 Wei Chen , Jiusun Zeng , Xiaobin Xu , Shihua Luo , Chuanhou Gao

We present an Alternating Direction Method of Multipliers (ADMM) algorithm for solving optimization problems with an l_1 regularized least-squares cost function subject to recursive equality constraints. The considered optimization problem…

系统与控制 · 计算机科学 2012-03-20 Mariette Annergren , Anders Hansson , Bo Wahlberg

We consider a class of integer-constrained optimization problems governed by partial differential equation (PDE) constraints and regularized via total variation (TV) in the context of topology optimization. The presence of discrete design…

最优化与控制 · 数学 2025-09-25 Harsh Choudhary , Sven Leyffer , Dominic Yang

The control of large buildings encounters challenges in computational efficiency due to their size and nonlinear components. To address these issues, this paper proposes a Piecewise Affine (PWA)-based distributed scheme for Model Predictive…

最优化与控制 · 数学 2026-02-06 Hongyi Li , Jun Xu , Jinfeng Liu

This paper investigates the role of feasible initial guesses and large consensus-violation penalization in distributed optimization for Optimal Power Flow (OPF) problems. Specifically, we discuss the behavior of the Alternating Direction of…

系统与控制 · 计算机科学 2019-04-02 Alexander Engelmann , Timm Faulwasser

An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

最优化与控制 · 数学 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

Learning the edge connectivity structure of networked systems from limited data is a fundamental challenge in many critical infrastructure domains, including power, traffic, and finance. Such systems obey steady-state conservation laws: x =…

最优化与控制 · 数学 2025-07-21 Rohith Reddy Mada , Rajasekhar Anguluri

The alternating direction method of multipliers (ADMM) is a versatile tool for solving a wide range of constrained optimization problems, with differentiable or non-differentiable objective functions. Unfortunately, its performance is…

机器学习 · 计算机科学 2017-07-20 Zheng Xu , Mario A. T. Figueiredo , Tom Goldstein

Many real-world multi-agent systems exhibit nonlinear dynamics and complex inter-agent interactions. As these systems increase in scale, the main challenges arise from achieving scalability and handling nonconvexity. To address these…

最优化与控制 · 数学 2025-10-22 Taehyun Yoon , Augustinos D. Saravanos , Evangelos A. Theodorou

In this paper, we review the parallel and distributed optimization algorithms based on the alternating direction method of multipliers (ADMM) for solving "big data" optimization problems in modern communication networks. We first introduce…

数值分析 · 计算机科学 2015-04-09 Lanchao Liu , Zhu Han

Alternating Direction Method of Multipliers (ADMM) has become a widely used optimization method for convex problems, particularly in the context of data mining in which large optimization problems are often encountered. ADMM has several…

机器学习 · 统计学 2019-07-11 Andre Goncalves , Xiaoli Liu , Arindam Banerjee