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We study the weighted average consensus problem for a gossip network of agents with vector-valued states. For a given matrix-weighted graph, the gossip process is described by a sequence of pairs of adjacent agents communicating and…

Optimization and Control · Mathematics 2023-11-09 Erkan Bayram , Mohamed-Ali Belabbas , Tamer Başar

Gossip algorithms are widely used to solve the distributed consensus problem, but issues can arise when nodes receive multiple signals either at the same time or before they are able to finish processing their current work load.…

Systems and Control · Computer Science 2013-01-15 Christopher D. Hollander , Annie S. Wu

This paper addresses the problem of robust estimation in gossip algorithms over arbitrary communication graphs. Gossip algorithms are fully decentralized, relying only on local neighbor-to-neighbor communication, making them well-suited for…

Machine Learning · Statistics 2026-01-01 Anna Van Elst , Igor Colin , Stephan Clémençon

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

Gossip protocols form the basis of many smart collective adaptive systems. They are a class of fully decentralised, simple but robust protocols for the distribution of information throughout large scale networks with hundreds or thousands…

Performance · Computer Science 2020-04-17 Nicolas Gast , Diego Latella , Mieke Massink

We consider a decentralized optimization problem, in which $n$ nodes collaborate to optimize a global objective function using local communications only. While many decentralized algorithms focus on \emph{gossip} communications (pairwise…

Optimization and Control · Mathematics 2022-05-31 Hadrien Hendrikx

Recovering a signal $x^\ast \in \mathbb{R}^n$ from a sequence of linear measurements is an important problem in areas such as computerized tomography and compressed sensing. In this work, we consider an online setting in which measurements…

Numerical Analysis · Mathematics 2022-11-14 Benjamin Jarman , Yotam Yaniv , Deanna Needell

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

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

Heavy-Ball method (HB) is known for its simplicity in implementation and practical efficiency. However, as with other momentum methods, it has non-monotone behavior, and for optimal parameters, the method suffers from the so-called peak…

Optimization and Control · Mathematics 2021-11-11 Marina Danilova , Grigory Malinovsky

Distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in-network collaborative processing. This paper focuses on…

Systems and Control · Computer Science 2015-12-14 Saber Jafarizadeh

Gossip algorithms for distributed computation are attractive due to their simplicity, distributed nature, and robustness in noisy and uncertain environments. However, using standard gossip algorithms can lead to a significant waste in…

Information Theory · Computer Science 2009-11-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

Distributed machine learning enables scalability and computational offloading, but requires significant levels of communication. Consequently, communication efficiency in distributed learning settings is an important consideration,…

Machine Learning · Computer Science 2022-09-27 Yicheng Chen , Rick S. Blum , Brian M. Sadler

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

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has been the subject of a good deal of attention, computation of…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

We consider a fully distributed constrained convex optimization problem over a multi-agent (no central coordinator) network. We propose an asynchronous gossip-based random projection (GRP) algorithm that solves the distributed problem using…

Optimization and Control · Mathematics 2013-04-08 Soomin Lee , Angelia Nedich

In this paper, we establish the convergence of the stochastic Heavy Ball (SHB) algorithm under more general conditions than in the current literature. Specifically, (i) The stochastic gradient is permitted to be biased, and also, to have…

Optimization and Control · Mathematics 2025-04-28 Uday Kiran Reddy Tadipatri , Mathukumalli Vidyasagar

Eigenvectors of data matrices play an important role in many computational problems, ranging from signal processing to machine learning and control. For instance, algorithms that compute positions of the nodes of a wireless network on the…

Data Structures and Algorithms · Computer Science 2011-03-23 Satish Babu Korada , Andrea Montanari , Sewoong Oh

We study distributed optimization in networked systems, where nodes cooperate to find the optimal quantity of common interest, x=x^\star. The objective function of the corresponding optimization problem is the sum of private (known only by…

Information Theory · Computer Science 2015-05-19 Dusan Jakovetic , Joao Xavier , Jose M. F. Moura

In this paper we present various distributed algorithms for LP-type problems in the well-known gossip model. LP-type problems include many important classes of problems such as (integer) linear programming, geometric problems like smallest…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-25 Kristian Hinnenthal , Christian Scheideler , Martijn Struijs