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We consider the problem of making distributed computations robust to noise, in particular to worst-case (adversarial) corruptions of messages. We give a general distributed interactive coding scheme which simulates any asynchronous…

Data Structures and Algorithms · Computer Science 2017-02-27 Keren Censor-Hillel , Ran Gelles , Bernhard Haeupler

In the information exchange problem, k packets that are initially maintained by k nodes need to be disseminated to the whole network as quickly as possible. We consider this problem in single-hop multi- channel networks of n nodes, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Li Ning , Dongxiao Yu , Yong Zhang , Yuexuan Wang , Francis C. M. Lau , Shenzhong Feng

We study the randomized rumor spreading algorithm \emph{pull} on complete graphs with $n$ vertices. Starting with one informed vertex and proceeding in rounds, each vertex yet uninformed connects to a neighbor chosen uniformly at random and…

Probability · Mathematics 2021-10-19 Konstantinos Panagiotou , Simon Reisser

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. For the problem of using network supercomputing to perform a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-04 Seda Davtyan , Kishori M. Konwar , Alexander A. Shvartsman

We consider the problem of selecting $k$ seed nodes in a network to maximize the minimum probability of activation under an independent cascade beginning at these seeds. The motivation is to promote fairness by ensuring that even the least…

Social and Information Networks · Computer Science 2025-02-20 Dennis Robert Windham , Caroline J. Wendt , Alex Crane , Madelyn J Warr , Freda Shi , Sorelle A. Friedler , Blair D. Sullivan , Aaron Clauset

In this work we present a new framework for the analysis and design of randomized gossip algorithms for solving the average consensus problem. We show how classical randomized iterative methods for solving linear systems can be interpreted…

Optimization and Control · Mathematics 2019-06-04 Nicolas Loizou , Peter Richtárik

We develop an analytical model of information dissemination for a gossiping protocol that combines both pull and push approaches. With this model we analyse how fast an item is replicated through a network, and how fast the item spreads in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-11 Rena Bakhshi , Daniela Gavidia , Wan Fokkink , Maarten van Steen

The Push, the Pull and the Push&Pull algorithms are well-studied rumor spreading protocols. In all three, in the beginning one node of a graph is informed. In the Push setting, every round every informed node chooses a neighbor uniformly at…

Data Structures and Algorithms · Computer Science 2018-02-06 Rami Daknama

Performing random walks in networks is a fundamental primitive that has found numerous applications in communication networks such as token management, load balancing, network topology discovery and construction, search, and peer-to-peer…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-12 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

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

Gossip protocols have been proposed as a robust and efficient method for disseminating information throughout large-scale networks. In this paper, we propose a compositional analysis technique to study formal probabilistic models of gossip…

Logic in Computer Science · Computer Science 2023-06-22 Ruggero Lanotte , Massimo Merro , Simone Tini

This paper focuses on non-asymptotic diffusion time in asynchronous gossip protocols. Asynchronous gossip protocols are designed to perform distributed computation in a network of nodes by randomly exchanging messages on the associated…

Machine Learning · Statistics 2021-11-22 David Picard , Jérôme Fellus , Stéphane Garnier

We address the self-stabilizing bit-dissemination problem, designed to capture the challenges of spreading information and reaching consensus among entities with minimal cognitive and communication capacities. Specifically, a group of $n$…

Multiagent Systems · Computer Science 2024-10-10 Niccolò D'Archivio , Robin Vacus

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

This paper presents gossip algorithms for aggregation tasks that demonstrate both robustness to adversarial corruptions of any order of magnitude and optimality across a substantial range of these corruption levels. Gossip algorithms…

Data Structures and Algorithms · Computer Science 2025-08-19 Bernhard Haeupler , Marc Kaufmann , Raghu Raman Ravi , Ulysse Schaller

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

We consider a system of t synchronous processes that communicate only by sending messages to one another, and that together must perform $n$ independent units of work. Processes may fail by crashing; we want to guarantee that in every…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Cynthia Dwork , Joseph Y. Halpern , O. Waarts

The gossip problem, in which information (known as secrets) must be shared among a certain number of agents using the minimum number of calls, is of interest in the conception of communication networks and protocols. We extend the gossip…

Artificial Intelligence · Computer Science 2016-06-15 Martin C. Cooper , Andreas Herzig , Faustine Maffre , Frédéric Maris , Pierre Régnier