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In this chapter we look at one of the canonical driving examples for multi-agent systems: average consensus. In this scenario, a group of agents seek to agree on the average of their initial states. Depending on the particular application,…

Optimization and Control · Mathematics 2016-09-23 Cameron Nowzari , Jorge Cortes , George J. Pappas

This paper develops several average-case reduction techniques to show new hardness results for three central high-dimensional statistics problems, implying a statistical-computational gap induced by robustness, a detection-recovery gap and…

Computational Complexity · Computer Science 2020-05-20 Matthew Brennan , Guy Bresler

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

Systems and Control · Computer Science 2012-08-16 Amir Noori

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

Average consensus algorithms can be implemented over wireless sensor networks (WSN), where global statistics can be computed using communications among sensor nodes locally. Simple execution, robustness to global topology changes due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-23 Sateeshkrishna Dhuli , Kumar Gaurav , Y. N. Singh

We propose methods for distributed graph-based multi-task learning that are based on weighted averaging of messages from other machines. Uniform averaging or diminishing stepsize in these methods would yield consensus (single task)…

Machine Learning · Statistics 2018-02-13 Weiran Wang , Jialei Wang , Mladen Kolar , Nathan Srebro

This paper presents the formulation and analysis of a fully distributed dynamic event-triggered communication based robust dynamic average consensus algorithm. Dynamic average consensus problem involves a networked set of agents estimating…

Optimization and Control · Mathematics 2018-09-20 Jemin George , Xinlei Yi , Tao Yang

This thesis is concerned with distributed control and coordination of networks consisting of multiple, potentially mobile, agents. This is motivated mainly by the emergence of large scale networks characterized by the lack of centralized…

Optimization and Control · Mathematics 2010-10-01 Alex Olshevsky

This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to…

Optimization and Control · Mathematics 2014-01-28 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

We develop a framework for the average-case analysis of random quadratic problems and derive algorithms that are optimal under this analysis. This yields a new class of methods that achieve acceleration given a model of the Hessian's…

Optimization and Control · Mathematics 2023-02-21 Fabian Pedregosa , Damien Scieur

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

This paper investigates an expected average error for distributed averaging problems under asynchronous updates. The asynchronism in this context implies no existence of a global clock as well as random characteristics in communication…

Systems and Control · Electrical Eng. & Systems 2020-06-04 Kooktae Lee

In this study, we analyzed the problem of accelerating the linear average consensus algorithm for complex networks. We propose a data-driven approach to tuning the weights of temporal (i.e., time-varying) networks using deep learning…

Optimization and Control · Mathematics 2023-08-29 Masako Kishida , Masaki Ogura , Yuichi Yoshida , Tadashi Wadayama

We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a…

Optimization and Control · Mathematics 2011-06-13 Alex Olshevsky , John N. Tsitsiklis

In this paper we focus on the distributed quantized average consensus problem in open multi-agent systems consisting of dynamic directed communication links among active nodes. We propose three communication-efficient distributed algorithms…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Jiaqi Hu , Karl H. Johansson , Apostolos I. Rikos

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

Methodology · Statistics 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

The design of sensor networks capable of reaching a consensus on a globally optimal decision test, without the need for a fusion center, is a problem that has received considerable attention in the last years. Many consensus algorithms have…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa

In this paper we provide an analytical framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the optimization algorithm in the mean-field sense showing the…

Analysis of PDEs · Mathematics 2018-02-08 José A. Carrillo , Young-Pil Choi , Claudia Totzeck , Oliver Tse

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

Distributed consensus optimization has received considerable attention in recent years; several distributed consensus-based algorithms have been proposed for (nonsmooth) convex and (smooth) nonconvex objective functions. However, the…

Optimization and Control · Mathematics 2019-11-05 Vyacheslav Kungurtsev