English
Related papers

Related papers: Accelerated Gossip via Stochastic Heavy Ball Metho…

200 papers

Gossipping has demonstrate to be an efficient mechanism for spreading information among P2P networks. Within the context of P2P computing, we propose the so-called Evolvable Agent Model for distributed population-based algorithms which uses…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 J. L. J. Laredo , E. A. Eiben , M. Schoenauer , P. A. Castillo , A. M. Mora , F. Fernandez , J. J. Merelo

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

Optimization and Control · Mathematics 2022-04-19 Mohammad Taha Toghani , César A. Uribe

Distributed deep learning is an effective way to reduce the training time of deep learning for large datasets as well as complex models. However, the limited scalability caused by network overheads makes it difficult to synchronize the…

Machine Learning · Computer Science 2022-10-18 Sangho Yeo , Minho Bae , Minjoong Jeong , Oh-kyoung Kwon , Sangyoon Oh

Gossip algorithms is a common term to describe protocols for unreliable information dissemination in natural networks, which are not optimally designed for efficient communication between network entities. We consider application of gossip…

Quantum Physics · Physics 2016-11-22 Michael Siomau

In this paper, we study the problem of minimizing a sum of smooth and strongly convex functions split over the nodes of a network in a decentralized fashion. We propose the algorithm $ESDACD$, a decentralized accelerated algorithm that only…

Optimization and Control · Mathematics 2019-02-25 Hadrien Hendrikx , Francis Bach , Laurent Massoulié

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

In average consensus protocols, nodes in a network perform an iterative weighted average of their estimates and those of their neighbors. The protocol converges to the average of initial estimates of all nodes found in the network. The…

Optimization and Control · Mathematics 2014-07-21 Mahmoud El Chamie , Giovanni Neglia , Konstantin Avrachenkov

We study a version of the randomized Kaczmarz algorithm for solving systems of linear equations where the iterates are confined to the solution space of a selected subsystem. We show that the subspace constraint leads to an accelerated…

Numerical Analysis · Mathematics 2024-06-11 Jackie Lok , Elizaveta Rebrova

While many distributed optimization algorithms have been proposed for solving smooth or convex problems over the networks, few of them can handle non-convex and non-smooth problems. Based on a proximal primal-dual approach, this paper…

Optimization and Control · Mathematics 2021-09-01 Zhiguo Wang , Jiawei Zhang , Tsung-Hui Chang , Jian Li , Zhi-Quan Luo

In this paper we consider a stochastic heavy-ball method for solving linear ill-posed inverse problems. With suitable choices of the step-sizes and the momentum coefficients, we establish the regularization property of the method under {\it…

Numerical Analysis · Mathematics 2024-06-25 Qinian Jin , Yanjun Liu

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

The randomized Kaczmarz (RK) method is an iterative method for approximating the least-squares solution of large linear systems of equations. The standard RK method uses sequential updates, making parallel computation difficult. Here, we…

Numerical Analysis · Mathematics 2020-02-12 Jacob D. Moorman , Thomas K. Tu , Denali Molitor , 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

Momentum methods such as Polyak's heavy ball (HB) method, Nesterov's accelerated gradient (AG) as well as accelerated projected gradient (APG) method have been commonly used in machine learning practice, but their performance is quite…

Machine Learning · Statistics 2019-08-20 Bugra Can , Mert Gurbuzbalaban , Lingjiong Zhu

In this paper, we present an experimental analysis of the asynchronous push & pull rumour spreading protocol. This protocol is, to date, the best-performing rumour spreading protocol for simple, scalable, and robust information…

Social and Information Networks · Computer Science 2015-01-16 Christos Patsonakis , Mema Roussopoulos

The Bregman-Kaczmarz method is an iterative method which can solve strongly convex problems with linear constraints and uses only one or a selected number of rows of the system matrix in each iteration, thereby making it amenable for…

Optimization and Control · Mathematics 2023-07-31 Dirk A. Lorenz , Maximilian Winkler

The Kaczmarz method is an algorithm for finding the solution to an overdetermined consistent system of linear equations Ax=b by iteratively projecting onto the solution spaces. The randomized version put forth by Strohmer and Vershynin…

Numerical Analysis · Mathematics 2011-02-15 Yonina C. Eldar , Deanna Needell

We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

Machine Learning · Statistics 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

The Kaczmarz algorithm is a simple iterative scheme for solving consistent linear systems. At each step, the method projects the current iterate onto the solution space of a single constraint. Hence, it requires very low cost per iteration…

Optimization and Control · Mathematics 2019-02-27 Ion Necoara

We consider distributed average consensus in a wireless network with partial communication to reduce the number of transmissions in every iteration/round. Considering the broadcast nature of wireless channels, we propose a probabilistic…

Multiagent Systems · Computer Science 2023-01-30 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson