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The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

最优化与控制 · 数学 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

In this paper, we consider distributed optimization problems where the goal is to minimize a sum of objective functions over a multi-agent network. We focus on the case when the inter-agent communication is described by a…

最优化与控制 · 数学 2018-06-08 Chenguang Xi , Ran Xin , Usman A. Khan

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

最优化与控制 · 数学 2019-01-09 Fatemeh Mansoori , Ermin Wei

The distributed convex optimization problem over the multi-agent system is considered in this paper, and it is assumed that each agent possesses its own cost function and communicates with its neighbours over a sequence of time-varying…

最优化与控制 · 数学 2022-02-03 Cong Wang , Shengyuan Xu , Deming Yuan , Baoyong Zhang , Zhengqiang Zhang

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an upper bound of the delays. Not only are such delay…

最优化与控制 · 数学 2024-11-08 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

We design a low complexity decentralized learning algorithm to train a recently proposed large neural network in distributed processing nodes (workers). We assume the communication network between the workers is synchronized and can be…

机器学习 · 计算机科学 2020-09-30 Xinyue Liang , Alireza M. Javid , Mikael Skoglund , Saikat Chatterjee

Thanks to its versatility, its simplicity, and its fast convergence, ADMM is among the most widely used approaches for solving a convex problem in distributed form. However, making it running efficiently is an art that requires a fine…

最优化与控制 · 数学 2019-07-10 Tomaso Erseghe

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

最优化与控制 · 数学 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In this paper we consider a general problem set-up for a wide class of convex and robust distributed optimization problems in peer-to-peer networks. In this set-up convex constraint sets are distributed to the network processors who have to…

系统与控制 · 计算机科学 2013-12-02 Mathias Bürger , Giuseppe Notarstefano , Frank Allgöwer

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

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

最优化与控制 · 数学 2018-06-20 Van Sy Mai , Eyad H. Abed

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

机器学习 · 统计学 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

机器学习 · 计算机科学 2020-05-19 Zonghao Huang , Yanmin Gong

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

最优化与控制 · 数学 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

Although the performance of popular optimization algorithms such as Douglas-Rachford splitting (DRS) and the ADMM is satisfactory in small and well-scaled problems, ill conditioning and problem size pose a severe obstacle to their reliable…

最优化与控制 · 数学 2024-04-17 Andreas Themelis , Lorenzo Stella , Panagiotis Patrinos

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

We study nonconvex distributed optimization in multi-agent networks with time-varying (nonsymmetric) connectivity. We introduce the first algorithmic framework for the distributed minimization of the sum of a smooth (possibly nonconvex and…

分布式、并行与集群计算 · 计算机科学 2016-02-02 Paolo Di Lorenzo , Gesualdo Scutari