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In this short note we propose a new approach for the design and analysis of randomized gossip algorithms which can be used to solve the average consensus problem. We show how that Randomized Block Kaczmarz (RBK) method - a method for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Nicolas Loizou , Peter Richtárik

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

The iterative consensus problem requires a set of processes or agents with different initial values, to interact and update their states to eventually converge to a common value. Protocols solving iterative consensus serve as building…

Cryptography and Security · Computer Science 2012-08-10 Zhenqi Huang , Sayan Mitra , Geir Dullerud

Linear consensus iterations guarantee asymptotic convergence, thereby, limiting their applicability in applications where consensus value needs to be used in real time to perform a system level task. It also leads to wastage of power and…

Optimization and Control · Mathematics 2017-06-22 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Vikas Yadav , Murti Salapaka

In this paper we consider the problem of privacy preservation in the static average consensus problem. This problem normally is solved by proposing privacy preservation augmentations for the popular first order Laplacian-based algorithm.…

Multiagent Systems · Computer Science 2020-12-09 Amir-Salar Esteki , Solmaz S. Kia

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

In this paper we propose a novel method for achieving average consensus in a continuous-time multiagent network while avoiding to disclose the initial states of the individual agents. In order to achieve privacy protection of the state…

Systems and Control · Computer Science 2020-07-28 Claudio Altafini

We consider a gossip network, consisting of $n$ nodes, which tracks the information at a source. The source updates its information with a Poisson arrival process and also sends updates to the nodes in the network. The nodes themselves can…

Information Theory · Computer Science 2023-10-03 Purbesh Mitra , Sennur Ulukus

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

When networked systems of autonomous agents carry out complex tasks, the control and coordination sought after generally depend on a few fundamental control primitives. Chief among these primitives is consensus, where agents are to converge…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Bernadette Charron-Bost , Patrick Lambein-Monette

We consider gossiping in a fully-connected wireless network consisting of $n$ nodes. The network receives Poisson updates from a source, which generates new information. The nodes gossip their available information with the neighboring…

Information Theory · Computer Science 2023-03-09 Purbesh Mitra , Sennur Ulukus

We have recently proposed quantized gossip algorithms which solve the consensus and averaging problems on directed graphs with the least restrictive connectivity requirements. In this paper we study the convergence time of these algorithms.…

Systems and Control · Computer Science 2011-11-10 Kai Cai , Hideaki Ishii

Periodic gossip algorithms have generated a lot of interest due to their ability to compute the global statistics by using local pairwise communications among nodes. Simple execution, robustness to topology changes, and distributed nature…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-31 S. Kouachi , Sateeshkrishna Dhuli , Y. N. Singh

A clustered gossip network is considered in which a source updates its information over time, and end-nodes, organized in clusters through clusterheads, are keeping track of it. The goal for the nodes is to remain as fresh as possible,…

Information Theory · Computer Science 2025-12-16 Irtiza Hasan , Ahmed Arafa

Due to the wide application of average consensus algorithm, its security and privacy problems have attracted great attention. In this paper, we consider the system threatened by a set of unknown agents that are both "malicious" and…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Shuai Sun , Yilin Mo

In this paper, we study a distributed privacy-preserving learning problem in social networks with general topology. The agents can communicate with each other over the network, which may result in privacy disclosure, since the…

Social and Information Networks · Computer Science 2023-01-30 Youming Tao , Shuzhen Chen , Feng Li , Dongxiao Yu , Jiguo Yu , Hao Sheng

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

We propose a protocol based on mechanism design theory and encrypted control to solve average consensus problems among rational and strategic agents while preserving their privacy. The proposed protocol provides a mechanism that…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Kaoru Teranishi , Kiminao Kogiso , Takashi Tanaka

We present the first provably almost-optimal gossip-based algorithms for aggregate computation that are both time optimal and message-optimal. Given a $n$-node network, our algorithms guarantee that all the nodes can compute the common…

Data Structures and Algorithms · Computer Science 2010-01-20 Jen-Yeu Chen , Gopal Pandurangan

This paper addresses the challenge of achieving private and resilient average consensus among a group of discrete-time networked agents without compromising accuracy. State-of-the-art solutions to attain privacy and resilient consensus…

Optimization and Control · Mathematics 2025-03-26 Guilherme Ramos , Daniel Silvestre , André M. H. Teixeira , Sérgio Pequito
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