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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

In this work, we consider the asynchronous distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology…

最优化与控制 · 数学 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the…

分布式、并行与集群计算 · 计算机科学 2014-12-30 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

最优化与控制 · 数学 2018-04-09 Joachim Giesen , Sören Laue

In this work, we consider the distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology (directed graph or…

最优化与控制 · 数学 2021-10-07 Wei Jiang , Themistoklis Charalambous

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

最优化与控制 · 数学 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

This paper discusses a consensus-based alternating direction method of multipliers (ADMM) approach to solve the multi-area coordinated network-constrained unit commitment (NCUC) problem in a distributed manner. Due to political and…

最优化与控制 · 数学 2018-01-23 Yamin Wang , Lei Wu , Jie Li

In a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

最优化与控制 · 数学 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

The present work introduces the hybrid consensus alternating direction method of multipliers (H-CADMM), a novel framework for optimization over networks which unifies existing distributed optimization approaches, including the centralized…

最优化与控制 · 数学 2018-05-10 Meng Ma , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

With the proliferation of distributed energy resources and the volume of data stored due to advancement in metering infrastructure, energy management in power system operation needs distributed computing. In this paper, we propose a fully…

系统与控制 · 电气工程与系统科学 2020-05-21 Shailesh Wasti , Pablo Ubiratan , Shahab Afshar , Vahid Disfani

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

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

机器学习 · 计算机科学 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein

In this paper, the alternating direction method of multipliers (ADMM) is investigated for distributed optimization problems in a networked multi-agent system. In particular, a new adaptive-gain ADMM algorithm is derived in a closed form and…

系统与控制 · 电气工程与系统科学 2020-02-26 Towfiq Rahman , Zhihua Qu , Toru Namerikawa

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

系统与控制 · 电气工程与系统科学 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

最优化与控制 · 数学 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

The alternating direction method of multipliers (ADMM) has recently been recognized as a promising approach for large-scale machine learning models. However, very few results study ADMM from the aspect of communication costs, especially…

分布式、并行与集群计算 · 计算机科学 2019-11-25 Yu Ye , Hao Chen , Zheng Ma , Ming Xiao

In this paper, we propose a novel distributed alternating direction method of multipliers (ADMM) algorithm with synergetic communication and computation, called SCCD-ADMM, to reduce the total communication and computation cost of the…

信号处理 · 电气工程与系统科学 2020-09-30 Zhuojun Tian , Zhaoyang Zhang , Jue Wang , Xiaoming Chen , Wei Wang , Huaiyu Dai

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

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

密码学与安全 · 计算机科学 2018-10-09 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

This paper develops efficient algorithms for distributed average consensus with quantized communication using the alternating direction method of multipliers (ADMM). We first study the effects of probabilistic and deterministic…

系统与控制 · 计算机科学 2016-12-05 Shengyu Zhu , Biao Chen