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We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

Discrete Mathematics · Computer Science 2014-08-20 Fern Y. Hunt

By the distributed averaging problem is meant the problem of computing the average value of a set of numbers possessed by the agents in a distributed network using only communication between neighboring agents. Gossiping is a well-known…

Optimization and Control · Mathematics 2016-12-28 Ji Liu , Shaoshuai Mou , A. Stephen Morse , Brian D. O. Anderson , Changbin Yu

In the IoT era, information is more and more frequently picked up by connected smart sensors with increasing, though limited, storage, communication and computation abilities. Whether due to privacy constraints or to the structure of the…

Machine Learning · Computer Science 2026-03-26 Igor Colin , Aurélien Bellet , Stephan Clémençon , Joseph Salmon

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

The Gauss-Newton algorithm is a popular and efficient centralized method for solving non-linear least squares problems. In this paper, we propose a multi-agent distributed version of this algorithm, named Gossip-based Gauss-Newton (GGN)…

Numerical Analysis · Mathematics 2016-08-24 Xiao Li , Anna Scaglione

While distributed learning offers a new learning paradigm for distributed network with no central coordination, it is constrained by communication bottleneck between nodes. We develop a new event-triggered gossip framework for distributed…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Zhiyuan Zhai , Xiaojun Yuan , Wei Ni , Xin Wang , Rui Zhang , Geoffrey Ye Li

Gossip algorithms are widely used in modern distributed systems, with applications ranging from sensor networks and peer-to-peer networks to mobile vehicle networks and social networks. A tremendous research effort has been devoted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Bo Li , Mikael Johansson , Karl Henrik Johansson

This paper proposes a distributed algorithm for average consensus in a multi-agent system under a fixed bidirectional communication topology, in the presence of malicious agents (nodes) that may try to influence the average consensus…

Multiagent Systems · Computer Science 2023-09-06 Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

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

As decentralized AI and edge intelligence become increasingly prevalent, ensuring robustness and trustworthiness in such distributed settings has become a critical issue-especially in the presence of corrupted or adversarial data.…

Machine Learning · Statistics 2025-09-12 Anna Van Elst , Igor Colin , Stephan Clémençon

We study gossip algorithms for the fundamental rumor spreading problem, where the goal is to disseminate a rumor from a given source node to all nodes in an arbitrary (and unknown) graph. Gossip algorithms allow each node to call only one…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

This paper studies distributed stochastic approximation algorithms based on broadcast gossip on communication networks represented by digraphs. Weak convergence of these algorithms is proved, and an associated ordinary differential equation…

Applications · Statistics 2016-09-05 Miloš S. Stanković , Nemanja Ilić , Srdjan S. Stanković

In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue. This paper presents theoretical and simulation results about the accumulation of errors during the computation of…

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

We design and analyze gossip algorithms for networks with correlated data. In these networks, either the data to be distributed, the data already available at the nodes, or both, are correlated. This model is applicable for a variety of…

Information Theory · Computer Science 2012-02-09 Bernhard Haeupler , Asaf Cohen , Chen Avin , Muriel Médard

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information, such as a node's location and that of its neighbors.…

Statistical Mechanics · Physics 2015-05-18 Jie Sun , Daniel ben-Avraham

Consider a network of agents connected by communication links, where each agent holds a real value. The gossip problem consists in estimating the average of the values diffused in the network in a distributed manner. We develop a method…

Multiagent Systems · Computer Science 2019-06-12 Raphaël Berthier , Francis Bach , Pierre Gaillard

We study the problem of maximizing a submodular function, subject to a cardinality constraint, with a set of agents communicating over a connected graph. We propose a distributed greedy algorithm that allows all the agents to converge to a…

Optimization and Control · Mathematics 2020-09-29 Lintao Ye , Shreyas Sundaram

We address the issue of speeding up the training of convolutional neural networks by studying a distributed method adapted to stochastic gradient descent. Our parallel optimization setup uses several threads, each applying individual…

Machine Learning · Computer Science 2018-11-13 Michael Blot , David Picard , Matthieu Cord

There has been an increasing necessity for scalable optimization methods, especially due to the explosion in the size of datasets and model complexity in modern machine learning applications. Scalable solvers often distribute the…

Optimization and Control · Mathematics 2020-09-08 Guilherme França , José Bento