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This paper proposes a scalable distributed policy gradient method and proves its convergence to near-optimal solution in multi-agent linear quadratic networked systems. The agents engage within a specified network under local communication…

Multiagent Systems · Computer Science 2024-03-06 Yuzi Yan , Yuan Shen

We study the approach to obtaining least squares solutions to systems of linear algebraic equations over networks by using distributed algorithms. Each node has access to one of the linear equations and holds a dynamic state. The aim for…

Systems and Control · Computer Science 2017-01-17 Yang Liu , Christian Lageman , Brian D. O. Anderson , Guodong Shi

Distributed algorithms for both discrete-time and continuous-time linearly solvable optimal control (LSOC) problems of networked multi-agent systems (MASs) are investigated in this paper. A distributed framework is proposed to partition the…

Machine Learning · Computer Science 2021-02-19 Neng Wan , Aditya Gahlawat , Naira Hovakimyan , Evangelos A. Theodorou , Petros G. Voulgaris

Although various distributed machine learning schemes have been proposed recently for pure linear models and fully nonparametric models, little attention has been paid on distributed optimization for semi-paramemetric models with…

Machine Learning · Statistics 2019-11-05 Shaogao Lv , Heng Lian

Distributed algorithms to solve linear equations in multi-agent networks have attracted great research attention and many iteration-based distributed algorithms have been developed. The convergence speed is a key factor to be considered for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-30 Haodi Ping , Yongcai Wang , Deying Li

During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

Multiagent Systems · Computer Science 2020-10-13 M. J. Blondin , M. T. Hale

This paper is mainly devoted to the distributed second-order multi-agent optimization problem with unbalanced and directed networks. To deal with this problem, a new distributed algorithm is proposed based on the local neighbor information…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Lipo Mo , Haokun Hu , Yongguang Yu , Guojian Ren

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

Optimization and Control · Mathematics 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

We study the problem of collaboratively learning least squares estimates for $m$ agents. Each agent observes a different subset of the features$\unicode{x2013}$e.g., containing data collected from sensors of varying resolution. Our goal is…

Machine Learning · Statistics 2023-07-25 Chen Cheng , Gary Cheng , John Duchi

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

Modern artificial intelligence relies on networks of agents that collect data, process information, and exchange it with neighbors to collaboratively solve optimization and learning problems. This article introduces a novel distributed…

Optimization and Control · Mathematics 2026-01-15 Diego Deplano , Nicola Bastianello , Mauro Franceschelli , Karl H. Johansson

This paper investigates the problem of solving discrete-time Lyapunov equations (DTLE) over a multi-agent system, where every agent has access to its local information and communicates with its neighbors. To obtain a solution to DTLE, a…

Optimization and Control · Mathematics 2019-05-01 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

In this paper, we consider distributed optimization problems over a multi-agent network, where each agent can only partially evaluate the objective function, and it is allowed to exchange messages with its immediate neighbors. Differently…

Optimization and Control · Mathematics 2019-02-22 Davood Hajinezhad , Mingyi Hong , Alfredo Garcia

In this paper, a class of convex feasibility problems (CFPs) are studied for multi-agent systems through local interactions. The objective is to search a feasible solution to the convex inequalities with some set constraints in a…

Systems and Control · Computer Science 2016-12-16 Kaihong Lu , Gangshan Jing , Long Wang

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

Systems and Control · Computer Science 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the agents agree on a k-dimensional space). Akin to average…

Optimization and Control · Mathematics 2024-10-23 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Information exchange is a crucial component of many real-world multi-agent systems. However, the communication between the agents involves two major challenges: the limited bandwidth, and the shared communication medium between the agents,…

Multiagent Systems · Computer Science 2021-02-18 Majid Raeis , S. Jamaloddin Golestani

We consider distributed optimization over orthogonal collision channels in spatial random access networks. Users are spatially distributed and each user is in the interference range of a few other users. Each user is allowed to transmit…

Networking and Internet Architecture · Computer Science 2016-10-26 Kobi Cohen , Angelia Nedich , R. Srikant

In this paper, we propose a novel distributed algorithm to optimize the emergent macroscopic behavior of large-scale multi-agent systems via microscopic actions. We cast this task as a bilevel optimization problem, where the upper level…

Optimization and Control · Mathematics 2026-04-14 Riccardo Brumali , Guido Carnevale , Sonia Martínez , Giuseppe Notarstefano