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We develop easily accessible quantities for bounding the almost sure exponential convergence rate of push-sum algorithms. We analyze the scenario of i.i.d. synchronous gossip, every agent communicating towards its single target at every…

Probability · Mathematics 2023-09-25 Balázs Gerencsér , Miklós Kornyik

This paper focuses on non-asymptotic diffusion time in asynchronous gossip protocols. Asynchronous gossip protocols are designed to perform distributed computation in a network of nodes by randomly exchanging messages on the associated…

Machine Learning · Statistics 2021-11-22 David Picard , Jérôme Fellus , Stéphane Garnier

In this paper, we propose an approximate projected consensus algorithm for a network to cooperatively compute the intersection of convex sets. Instead of assuming the exact convex projection proposed in the literature, we allow each node to…

Systems and Control · Computer Science 2012-05-29 Youcheng Lou , Guodong Shi , Karl Henrik Johansson , Yiguang Hong

This paper proposes a fully decentralized adaptive re-weighted state estimation (DARSE) scheme for power systems via network gossiping. The enabling technique is the proposed Gossip-based Gauss-Newton (GGN) algorithm, which allows to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-26 Xiao Li , Anna Scaglione

In this paper we investigate the limit performance of Floating Gossip, a new, fully distributed Gossip Learning scheme which relies on Floating Content to implement location-based probabilistic evolution of machine learning models in an…

Machine Learning · Statistics 2023-11-23 Gianluca Rizzo , Noelia Perez Palma , Marco Ajmone Marsan , Vincenzo Mancuso

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

Discrete Mathematics · Computer Science 2014-08-20 Fern Y. Hunt

In this paper, we present GossipGraD - a gossip communication protocol based Stochastic Gradient Descent (SGD) algorithm for scaling Deep Learning (DL) algorithms on large-scale systems. The salient features of GossipGraD are: 1) reduction…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-16 Jeff Daily , Abhinav Vishnu , Charles Siegel , Thomas Warfel , Vinay Amatya

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

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

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

Optimization and Control · Mathematics 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

We investigate how suitable a weighted network is for gossip spreading. The proposed model is based on the gossip spreading model introduced by Lind et.al. on unweighted networks. Weight represents "friendship." Potential spreader prefers…

Social and Information Networks · Computer Science 2012-11-05 Mursel Tasgin , Haluk O. Bingol

Distributing Neural Network training is of particular interest for several reasons including scaling using computing clusters, training at data sources such as IOT devices and edge servers, utilizing underutilized resources across…

Machine Learning · Computer Science 2018-12-07 Siddharth Pramod

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 consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

Gossip and in particular network coded algebraic gossip have recently attracted attention as a fast, bandwidth-efficient, reliable and distributed way to broadcast or multicast multiple messages. While the algorithms are simple, involved…

Data Structures and Algorithms · Computer Science 2012-06-01 Bernhard Haeupler

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

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Information Retrieval · Computer Science 2024-08-22 Md Taufique Hussain , Mahantesh Halappanavar , Samrat Chatterjee , Filippo Radicchi , Santo Fortunato , Ariful Azad

We revisit the classic problem of spreading a piece of information in a group of $n$ fully connected processors. By suitably adding a small dose of randomness to the protocol of Gasienic and Pelc (1996), we derive for the first time…

Data Structures and Algorithms · Computer Science 2015-01-06 Benjamin Doerr , Carola Doerr , Shay Moran , Shlomo Moran

Consider a set of agents collaboratively solving a distributed convex optimization problem, asynchronously, under stringent communication constraints. In such situations, when an agent is activated and is allowed to communicate with only…

Optimization and Control · Mathematics 2022-10-28 Ashwin Verma , Marcos M. Vasconcelos , Urbashi Mitra , Behrouz Touri