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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

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

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 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 consider two variants of the classical gossip algorithm. The first variant is a version of asynchronous stochastic approximation. We highlight a fundamental difficulty associated with the classical asynchronous gossip scheme, viz., that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Vivek S. Borkar , Rahul Makhijani , Rajesh Sundaresan

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

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 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 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

The convergence of the gossip process has been extensively studied; however, algorithms that generate a set of stochastic matrices, the infinite product of which converges to a rank-one matrix determined by a given weight vector, have been…

Optimization and Control · Mathematics 2025-02-28 Erkan Bayram , Mohamed-Ali Belabbas

Simple stochastic momentum methods are widely used in machine learning optimization, but their good practical performance is at odds with an absence of theoretical guarantees of acceleration in the literature. In this work, we aim to close…

Machine Learning · Computer Science 2025-06-24 Raghu Bollapragada , Tyler Chen , Rachel Ward

We study gossip algorithms for the rumor spreading problem which asks each node to deliver a rumor to all nodes in an unknown network. Gossip algorithms allow nodes only to call one neighbor per round and have recently attracted attention…

Data Structures and Algorithms · Computer Science 2014-04-08 Bernhard Haeupler

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

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

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

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

This paper investigates the problem of distributed network-wide averaging and proposes a new greedy gossip algorithm. Instead of finding the optimal path of each node in a greedy manner, the proposed approach utilises a suboptimal…

Systems and Control · Computer Science 2019-08-20 Hyo-Sang Shin , Shaoming He , Antonios Tsourdos

This paper is concerned with developing a novel distributed Kalman filtering algorithm over wireless sensor networks based on randomized consensus strategy. Compared with the centralized algorithm, distributed filtering techniques require…

Systems and Control · Computer Science 2018-10-08 Jiahu Qin , Jie Wang , Ling Shi , Yu Kang

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

The stochastic heavy ball momentum (SHBM) method has gained considerable popularity as a scalable approach for solving large-scale optimization problems. However, one limitation of this method is its reliance on prior knowledge of certain…

Optimization and Control · Mathematics 2024-04-04 Yun Zeng , Deren Han , Yansheng Su , Jiaxin Xie
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