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We come up with a class of distributed quantized averaging algorithms on asynchronous communication networks with fixed, switching and random topologies. The implementation of these algorithms is subject to the realistic constraint that the…

Optimization and Control · Mathematics 2010-02-12 Minghui Zhu , Sonia Martinez

We provide a discussion of several recent results which, in certain scenarios, are able to overcome a barrier in distributed stochastic optimization for machine learning. Our focus is the so-called asymptotic network independence property,…

Optimization and Control · Mathematics 2020-02-19 Shi Pu , Alex Olshevsky , Ioannis Ch. Paschalidis

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

In this paper, we focus on the distributed quantized average consensus problem in open multi-agent systems consisting of communication links that change dynamically over time. Open multi-agent systems exhibiting the aforementioned…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Jiaqi Hu , Karl H. Johansson , Apostolos I. Rikos

Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of the convex functions, if such minimizers exist, is shown. The…

Optimization and Control · Mathematics 2018-08-06 Rafal Goebel , Ricardo Sanfelice

Average consensus protocols emerge with a central role in distributed systems and decision-making such as distributed information fusion, distributed optimization, distributed estimation, and control. A key advantage of these protocols is…

Optimization and Control · Mathematics 2021-12-21 Guilherme Ramos , A. Pedro Aguiar , Soummya Kar , Sérgio Pequito

We study the problem of distributed hypothesis testing with a network of agents where some agents repeatedly gain access to information about the correct hypothesis. The group objective is to globally agree on a joint hypothesis that best…

Optimization and Control · Mathematics 2015-08-24 Angelia Nedić , Alex Olshevsky , César A. Uribe

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main contribution of this work is to generalize the previous consensus problems under nonlinear protocols for…

Dynamical Systems · Mathematics 2008-04-24 Xiwei Liu , Tianping Chen

In this paper we study two related iterative randomized algorithms for distributed computation of averages. The first one is the recently proposed Broadcast Gossip Algorithm, in which at each iteration one randomly selected node broadcasts…

Optimization and Control · Mathematics 2011-07-25 Paolo Frasca , Fabio Fagnani

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. Describing a consensus protocol as a graph spectrum filter, we present an effective new approach to the analysis and design of consensus…

Systems and Control · Computer Science 2018-08-07 Jingwen Yi , Li Chai , Jingxin Zhang

It is becoming increasingly common to see large collections of network data objects -- that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based…

Statistics Theory · Mathematics 2019-02-08 Eric Kolaczyk , Lizhen Lin , Steven Rosenberg , Jie Xu , Jackson Walters

In this article, we present a finite time stopping criterion for consensus algorithms in networks with dynamic communication topology. Recent results provide asymptotic convergence to the consensus algorithm. However, the asymptotic…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka

We propose an algorithm for average consensus over a directed graph which is both fully asynchronous and robust to unreliable communications. We show its convergence to the average, while allowing for slowly growing but potentially…

Optimization and Control · Mathematics 2018-02-26 Alex Olshevsky , Ioannis Ch. Paschalidis , Artin Spiridonoff

We consider the problems of reaching average consensus and solving consensus-based optimization over unreliable communication networks wherein packets may be dropped accidentally during transmission. Existing work either assumes that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-11 Lili Su

We analyze a class of distributed quantized consensus algorithms for arbitrary static networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate of the mean value in the network,…

Systems and Control · Computer Science 2016-11-18 Shang Shang , Paul Cuff , Pan Hui , Sanjeev Kulkarni

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

Systems and Control · Computer Science 2025-12-29 Hsin-Lun Li

The push-sum algorithm allows distributed computing of the average on a directed graph, and is particularly relevant when one is restricted to one-way and/or asynchronous communications. We investigate its behavior in the presence of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-01 Balázs Gerencsér , Julien M. Hendrickx

Preferential attachment in a directed scale-free graph is widely used to model the evolution of social networks. Statistical analyses of social networks often relies on node based data rather than conventional repeated sampling. For our…

Probability · Mathematics 2015-10-02 Tiandong Wang , Sidney I. Resnick

This paper considers the problem of dynamic average consensus algorithm design for a group of communicating agents. This problem consists of designing a distributed algorithm that enables a group of agents with communication and computation…

Systems and Control · Computer Science 2018-11-27 Solmaz S. Kia , Bryan Van Scoy , Jorge Cortes , Randy A. Freeman , Kevin M. Lynch , Sonia Martinez
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