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We study a general framework for broadcast gossip algorithms which use companion variables to solve the average consensus problem. Each node maintains an initial state and a companion variable. Iterative updates are performed asynchronously…

Systems and Control · Computer Science 2012-09-03 Wu Shaochuan , Michael G. Rabbat

In this paper, we develop and analyze a gossip-based average consensus algorithm that enables all of the components of a distributed system, each with some initial value, to reach (approximate) average consensus on their initial values…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Nicolaos E. Manitara , Apostolos I. Rikos , Christoforos N. Hadjicostis

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

In many applications, nodes in a network desire not only a consensus, but an optimal one. To date, a family of subgradient algorithms have been proposed to solve this problem under general convexity assumptions. This paper shows that, for…

Optimization and Control · Mathematics 2011-02-11 Jie Lu , Choon Yik Tang , Paul R. Regier , Travis D. Bow

Decentralized learning on resource-constrained edge devices demands algorithms that are communication-efficient, robust to data corruption, and lightweight in memory. State-of-the-art gossip-based methods address communication efficiency,…

Machine Learning · Computer Science 2026-05-08 Anna van Elst , Igor Colin , Stephan Clémençon

This paper describes and analyzes a hierarchical gossip algorithm for solving the distributed average consensus problem in wireless sensor networks. The network is recursively partitioned into subnetworks. Initially, nodes at the finest…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-29 Konstantinos I. Tsianos , Michael G. Rabbat

We study the problem of gossip in dynamic networks controlled by an adversary that can modify the network arbitrarily from one round to another, provided that the network is always connected. In the gossip problem, $n$ tokens are…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-20 John Augustine , Chen Avin , Mehraneh Liaee , Gopal Pandurangan , Rajmohan Rajaraman

In this work we present a randomized gossip algorithm for solving the average consensus problem while at the same time protecting the information about the initial private values stored at the nodes. We give iteration complexity bounds for…

Optimization and Control · Mathematics 2024-12-20 Filip Hanzely , Jakub Konečný , Nicolas Loizou , Peter Richtárik , Dmitry Grishchenko

In this paper, we study an asynchronous randomized gossip algorithm under unreliable communication. At each instance, two nodes are selected to meet with a given probability. When nodes meet, two unreliable communication links are…

Information Theory · Computer Science 2012-03-28 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

Many ad hoc routing protocols are based on some variant of flooding. Despite various optimizations, many routing messages are propagated unnecessarily. We propose a gossiping-based approach, where each node forwards a message with some…

Networking and Internet Architecture · Computer Science 2007-05-23 Zygmunt Haas , Joseph Y. Halpern , Erran L. Li

We study gossip algorithms for the rumor spreading problem which asks one node to deliver a rumor to all nodes in an unknown network. We present the first protocol for any expander graph $G$ with $n$ nodes such that, the protocol informs…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-14 Zeyu Guo , He Sun

In this work we present three different randomized gossip algorithms for solving the average consensus problem while at the same time protecting the information about the initial private values stored at the nodes. We give iteration…

Optimization and Control · Mathematics 2017-06-26 Filip Hanzely , Jakub Konečný , Nicolas Loizou , Peter Richtárik , Dmitry Grishchenko

As agentic platforms scale, agents are evolving beyond static roles and fixed toolchains, creating a growing need for flexible, decentralized coordination. Today's structured communication protocols (e.g., direct agent-to-agent messaging)…

Multiagent Systems · Computer Science 2025-08-05 Mansura Habiba , Nafiul I. Khan

Aggregation is an important building block of modern distributed applications, allowing the determination of meaningful properties (e.g. network size, total storage capacity, average load, majorities, etc.) that are used to direct the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-01 Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

Gossip algorithms have recently received significant attention, mainly because they constitute simple and robust message-passing schemes for distributed information processing over networks. However for many topologies that are realistic…

Information Theory · Computer Science 2008-02-20 F. Benezit , A. G. Dimakis , P. Thiran , M. Vetterli

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

In this work we present novel provably accelerated gossip algorithms for solving the average consensus problem. The proposed protocols are inspired from the recently developed accelerated variants of the randomized Kaczmarz method - a…

Optimization and Control · Mathematics 2018-11-01 Nicolas Loizou , Michael Rabbat , Peter Richtárik

Gossip protocols are popular methods for average consensus problems in distributed computing. We prove new convergence guarantees for a variety of such protocols, including path, clique, and synchronous pairwise gossip. These arise by…

Optimization and Control · Mathematics 2021-10-28 Jamie Haddock , Benjamin Jarman , Chen Yap

In recent times, a considerable amount of work has been devoted to the development and analysis of gossip algorithms in Geometric Random Graphs. In a recently introduced model termed "Geographic Gossip," each node is aware of its position…

Multiagent Systems · Computer Science 2007-07-16 Hariharan Narayanan

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