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The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

Networking and Internet Architecture · Computer Science 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

We consider distributed iterative algorithms for the averaging problem over time-varying topologies. Our focus is on the convergence time of such algorithms when complete (unquantized) information is available, and on the degradation of…

Optimization and Control · Mathematics 2009-01-14 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John Tsitsiklis

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

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

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Nima Noorshams , Martin Wainwright

Motivated by the needs of resiliency, scalability, and plug-and-play operation, distributed decision-making is becoming increasingly prevalent. The problem of achieving consensus in a multi-agent system is at the core of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Vivek Khatana , Murti V. Salapaka

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu

This paper studies the distributed average tracking problem pertaining to a discrete-time linear time-invariant multi-agent network, which is subject to, concurrently, input delays, random packet-drops, and reference noise. The problem…

Systems and Control · Electrical Eng. & Systems 2020-01-23 Fei Chen , Changjiang Chen , Ge Guo , Changchun Hua , Guanrong Chen

We consider the problems of computing the average degree and the size of a given network in a distributed fashion under quantized communication. We present two distributed algorithms which rely on quantized operation (i.e., nodes process…

Systems and Control · Electrical Eng. & Systems 2022-11-30 Apostolos I. Rikos , Themistoklis Charalambous , Christoforos N. Hadjicostis , Karl H. Johansson

This paper considers the average consensus problem on a network of digital links, and proposes a set of algorithms based on pairwise ''gossip'' communications and updates. We study the convergence properties of such algorithms with the goal…

Optimization and Control · Mathematics 2011-07-25 Ruggero Carli , Fabio Fagnani , Paolo Frasca , Sandro Zampieri

We consider the problem of average consensus in a distributed system comprising a set of nodes that can exchange information among themselves. We focus on a class of algorithms for solving such a problem whereby each node maintains a state…

Multiagent Systems · Computer Science 2024-03-12 Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

We study gossip algorithms for the fundamental rumor spreading problem, where the goal is to disseminate a rumor from a given source node to all nodes in an arbitrary (and unknown) graph. Gossip algorithms allow each node to call only one…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

We consider information dissemination over a network of gossiping agents (nodes). In this model, a source keeps the most up-to-date information about a time-varying binary state of the world, and $n$ receiver nodes want to follow the…

Information Theory · Computer Science 2024-10-28 Melih Bastopcu , S. Rasoul Etesami , Tamer Başar

The problems discussed in this paper are motivated by general ratio consensus algorithms, introduced by Kempe, Dobra, and Gehrke (2003) in a simple form as the push-sum algorithm, later extended by B\'en\'ezit et al. (2010) under the name…

Probability · Mathematics 2020-05-19 Balázs Gerencsér , László Gerencsér

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 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

We design and analyze gossip algorithms for networks with correlated data. In these networks, either the data to be distributed, the data already available at the nodes, or both, are correlated. This model is applicable for a variety of…

Information Theory · Computer Science 2012-02-09 Bernhard Haeupler , Asaf Cohen , Chen Avin , Muriel Médard

This paper extends the consensus framework, widely studied in the literature on distributed computing and control algorithms, to networks of quantum systems. We define consensus situations on the basis of invariance and symmetry properties,…

Quantum Physics · Physics 2015-01-05 Luca Mazzarella , Alain Sarlette , Francesco Ticozzi

In this preliminary paper we study the stability property of a consensus on the average algorithm in arbitrary directed graphs with respect to communication/sensing time-delays. The proposed algorithm adds a storage variable to the agents'…

Optimization and Control · Mathematics 2015-02-17 Mehran Zareh , Carla Seatzu , Mauro Franceschelli

We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a…

Optimization and Control · Mathematics 2011-06-13 Alex Olshevsky , John N. Tsitsiklis