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We propose a distributed method to solve a multi-agent optimization problem with strongly convex cost function and equality coupling constraints. The method is based on Nesterov's accelerated gradient approach and works over stochastically…

最优化与控制 · 数学 2020-12-17 Wicak Ananduta , Carlos Ocampo-Martinez , Angelia Nedić

The recent deployment of distributed battery units in prosumer premises offer new opportunities for providing aggregated flexibility services to both distribution system operators and balance responsible parties. The optimization problem…

Accompanied with the rising popularity of compressed sensing, the Alternating Direction Method of Multipliers (ADMM) has become the most widely used solver for linearly constrained convex problems with separable objectives. In this work, we…

数值分析 · 计算机科学 2016-07-12 Canyi Lu , Jiashi Feng , Shuicheng Yan , Zhouchen Lin

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

This paper presents a numerical solver for computing continuous trajectories in non-convex environments. Our approach relies on a customized implementation of the Alternating Direction Method of Multipliers (ADMM) built upon two key…

机器人学 · 计算机科学 2026-03-13 Lukas Pries , Jon Arrizabalaga , Zachary Manchester , Markus Ryll

This paper introduces a novel approach to solving multi-block nonconvex composite optimization problems through a proximal linearized Alternating Direction Method of Multipliers (ADMM). This method incorporates an Increasing Penalization…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

Various distributed gradient descent algorithms for multi-agent optimization have incorporated the Nesterov accelerated gradient method, where the use of momentum enhances convergence rates. These algorithms have found broad applications in…

系统与控制 · 电气工程与系统科学 2026-04-21 Zihao Ren , Lei Wang , Guodong Shi

This paper proposes a fully distributed reactive power optimization algorithm that can obtain the global optimum of non-convex problems for distribution networks without a central coordinator. Second-order cone (SOC) relaxation is used to…

最优化与控制 · 数学 2014-09-12 Weiye Zheng , Wenchuan Wu , Boming Zhang , Hongbin Sun , Liu Yibing

We consider a multi-block separable convex optimization problem with the linear constraints, where the objective function is the sum of m individual convex functions without overlapping variables. The linearized version of the generalized…

最优化与控制 · 数学 2022-04-19 He Jian , Zhang Bangzhong , Li Jinlin

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

Convergence rates are established for an inexact accelerated alternating direction method of multipliers (I-ADMM) for general separable convex optimization with a linear constraint. Both ergodic and non-ergodic iterates are analyzed.…

数值分析 · 数学 2021-07-20 William W. Hager , Hongchao Zhang

This paper introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize $\sum_{i=1}^N f_i(x_i)$ subject to $\sum_{i=1}^N A_i x_i=c, x_i\in \mathcal{X}_i$. The…

最优化与控制 · 数学 2014-03-20 Wei Deng , Ming-Jun Lai , Zhimin Peng , Wotao Yin

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

系统与控制 · 计算机科学 2015-03-03 Lanchao Liu , Zhu Han

The objective of this paper is to design an efficient and convergent alternating direction method of multipliers (ADMM) for finding a solution of medium accuracy to conic programming problems whose constraints consist of linear equalities,…

最优化与控制 · 数学 2014-12-02 Defeng Sun , Kim-Chuan Toh , Liuqin Yang

Consider a set of networked agents endowed with private cost functions and seeking to find a consensus on the minimizer of the aggregate cost. A new class of random asynchronous distributed optimization methods is introduced. The methods…

分布式、并行与集群计算 · 计算机科学 2013-03-13 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

In this paper, an alternating direction method of multipliers based novel distributed wide-area control architecture is proposed for damping the interarea oscillations. In this approach, first, an interconnected power system is divided into…

系统与控制 · 电气工程与系统科学 2019-07-16 Abilash Thakallapelli , Sukumar Kamalasadan

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

机器学习 · 计算机科学 2025-08-19 Sagar Shrestha

Over the fast few years, the numerical success of the generalized alternating direction method of multipliers (GADMM) proposed by Eckstein \& Bertsekas [Math. Prog., 1992] has inspired intensive attention in analyzing its theoretical…

最优化与控制 · 数学 2022-06-09 Han Wang , Peili Li , Yunhai Xiao

In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of the nonlinear functional forms and associated parameters of…

最优化与控制 · 数学 2014-03-31 Wei Pan , Aivar Sootla , Guy-Bart Stan

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear constraints. The objective function is the sum of a possibly…

最优化与控制 · 数学 2021-12-21 Jianchao Bai , Deren Han , Hao Sun , Hongchao Zhang