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Related papers: A New Perspective on Randomized Gossip Algorithms

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In this paper, we address the average consensus problem of multi-agent systems for possibly unbalanced and delay-prone networks with directional information flow. We propose a linear distributed algorithm (referred to as RPPAC) that handles…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Evagoras Makridis , Themistoklis Charalambous

In this work, we focus on solving a decentralized consensus problem in a private manner. Specifically, we consider a setting in which a group of nodes, connected through a network, aim at computing the mean of their local values without…

Multiagent Systems · Computer Science 2022-02-22 Mohammad Fereydounian , Aryan Mokhtari , Ramtin Pedarsani , Hamed Hassani

We present an enhanced version of the row-based randomized block-Kaczmarz method to solve a linear system of equations. This improvement makes use of a regularization during block updates in the solution, and a dynamic proposal distribution…

Numerical Analysis · Mathematics 2025-10-03 Suvendu Kar , Murugesan Venkatapathi

Although gossip and random walk-based learning algorithms are widely known for decentralized learning, there has been limited theoretical and experimental analysis to understand their relative performance for different graph topologies and…

Machine Learning · Computer Science 2026-04-20 Peyman Gholami , Hulya Seferoglu

In instances of online kernel learning where little prior information is available and centralized learning is unfeasible, past research has shown that distributed and online multi-kernel learning provides sub-linear regret as long as every…

Machine Learning · Computer Science 2023-05-02 Tomas Ortega , Hamid Jafarkhani

Gossip algorithms and their accelerated versions have been studied exclusively in discrete time on graphs. In this work, we take a different approach, and consider the scaling limit of gossip algorithms in both large graphs and large number…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-21 Raphaël Berthier , Mufan Bill Li

We present a general model for opinion dynamics in a social network together with several possibilities for object selections at times when the agents are communicating. We study the limiting behavior of such a dynamics and show that this…

Social and Information Networks · Computer Science 2012-12-12 Behrouz Touri , Farzad Farnoud , Angelia Neidic , Olgica Milenkovic

In this paper, we present a new BFT consensus mechanism which enables thousands of nodes to participate in the consensus process, and supports very high transaction throughput. This is achieved via an aggregated signature gossip protocol…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-13 Jieyi Long , Ribao Wei

This paper establishes a framework for the acceleration of quantum gossip algorithms by introducing local clique operations to networks of interconnected qubits. Cliques are local structures in complex networks being complete subgraphs.…

Quantum Physics · Physics 2017-12-06 Bo Li , Shuang Li , Junfeng Wu , Hongsheng Qi

Combined optimization problems that couple data-fidelity and regularization terms arise naturally in a wide range of inverse problems. In this paper, we study an adaptive randomized averaging block extended Bregman-Kaczmarz (aRABEBK) method…

Numerical Analysis · Mathematics 2026-01-19 Zeyu Dong , Aqin Xiao , Guojian Yin , Junfeng Yin

We develop a novel, fundamental and surprisingly simple randomized iterative method for solving consistent linear systems. Our method has six different but equivalent interpretations: sketch-and-project, constrain-and-approximate, random…

Numerical Analysis · Mathematics 2016-01-07 Robert M. Gower , Peter Richtárik

Information dissemination is a fundamental problem in parallel and distributed computing. In its simplest variant, the broadcasting problem, a message has to be spread among all nodes of a graph. A prominent communication protocol for this…

Data Structures and Algorithms · Computer Science 2014-12-10 Robert Elsässer , Dominik Kaaser

Randomized Kaczmarz is a simple iterative method for finding solutions of linear systems $Ax = b$. We point out that the arising sequence $(x_k)_{k=1}^{\infty}$ tends to converge to the solution $x$ in an interesting way: generically, as $k…

Numerical Analysis · Mathematics 2021-09-15 Stefan Steinerberger

The randomized Kaczmarz methods are a popular and effective family of iterative methods for solving large-scale linear systems of equations, which have also been applied to linear feasibility problems. In this work, we propose a new block…

Optimization and Control · Mathematics 2024-06-19 Minxin Zhang , Jamie Haddock , Deanna Needell

We give a simple distributed algorithm for computing adjacency matrix eigenvectors for the communication graph in an asynchronous gossip model. We show how to use this algorithm to give state-of-the-art asynchronous community detection…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Frederik Mallmann-Trenn , Cameron Musco , Christopher Musco

We study the average consensus problem of multi-agent systems for general network topologies with unidirectional information flow. We propose two (linear) distributed algorithms, deterministic and gossip, respectively for the cases where…

Systems and Control · Computer Science 2012-03-13 Kai Cai , Hideaki Ishii

For solving large consistent linear systems by iteration methods, inspired by the maximum residual Kaczmarz method and the randomized block Kaczmarz method, we propose the maximum residual block Kaczmarz method, which is designed to…

Numerical Analysis · Mathematics 2024-04-16 Wen-Ning Sun , Mei Qin

The nonlinear Kaczmarz method was recently proposed to solve the system of nonlinear equations. In this paper, we first discuss two greedy selection rules, i.e., the maximum residual and maximum distance rules, for the nonlinear Kaczmarz…

Numerical Analysis · Mathematics 2022-09-14 Yanjun Zhang , Hanyu Li , Ling Tang

Gossip protocols aim at arriving, by means of point-to-point or group communications, at a situation in which all the agents know each other secrets. Recently a number of authors studied distributed epistemic gossip protocols. These…

Logic in Computer Science · Computer Science 2017-07-28 Krzysztof R. Apt , Dominik Wojtczak

Randomized iterative algorithms have attracted much attention in recent years because they can approximately solve large-scale linear systems of equations without accessing the entire coefficient matrix. In this paper, we propose two novel…

Numerical Analysis · Mathematics 2021-10-22 Kui Du , Xiao-Hui Sun