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We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

Optimization and Control · Mathematics 2014-03-18 Angelia Nedic , Alex Olshevsky

We study networks of gossiping users where a source observing a process sends updates to an underlying graph. Nodes in the graph update their neighbors randomly and nodes always accept packets that have newer information, thus attempting to…

Information Theory · Computer Science 2025-01-23 Thomas Jacob Maranzatto , Arunabh Srivastava , Sennur Ulukus

We study the problem of broadcasting multiple messages in the CONGEST model. In this problem, a dedicated source node $s$ possesses a set $M$ of messages with every message of size $O(\log n)$ where $n$ is the total number of nodes. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-15 Anton Paramonov , Roger Wattenhofer

We consider a gossip network consisting of a source generating updates and $n$ nodes connected according to a given graph structure. The source keeps updates of a process, that might be generated or observed, and shares them with the…

Information Theory · Computer Science 2024-05-30 Arunabh Srivastava , Sennur Ulukus

Fully distributed learning schemes such as Gossip Learning (GL) are gaining momentum due to their scalability and effectiveness even in dynamic settings. However, they often imply a high utilization of communication and computing resources,…

Networking and Internet Architecture · Computer Science 2024-04-19 Mina Aghaei Dinani , Adrian Holzer , Hung Nguyen , Marco Ajmone Marsan , Gianluca Rizzo

The asynchronous push&pull protocol, a randomized distributed algorithm for spreading a rumour in a graph $G$, works as follows. Independent Poisson clocks of rate 1 are associated with the vertices of $G$. Initially, one vertex of $G$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-17 Huseyin Acan , Andrea Collevecchio , Abbas Mehrabian , Nick Wormald

In this paper we show that gossip algorithms may be effectively used to disseminate game events in Peer-to-Peer (P2P) Multiplayer Online Games (MOGs). Game events are disseminated through an overlay network. The proposed scheme exploits the…

Networking and Internet Architecture · Computer Science 2015-03-18 Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

Reputation aggregation in peer to peer networks is generally a very time and resource consuming process. Moreover, most of the methods consider that a node will have same reputation with all the nodes in the network, which is not true. This…

Networking and Internet Architecture · Computer Science 2019-08-23 Ruchir Gupta , Y. N. Singh

Large-scale multi-agent communication has long faced a scalability bottleneck: fully connected networks require quadratic complexity, yet existing sparse topologies rely on hand-crafted rules. This paper treats the communication graph…

Networking and Internet Architecture · Computer Science 2026-04-14 Jingkai Luo , Yulin Shao

We study the problem of randomized Leader Election in synchronous distributed networks with indistinguishable nodes. We consider algorithms that work on networks of arbitrary topology in two settings, depending on whether the size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-18 Dariusz R. Kowalski , Miguel A. Mosteiro

We prove tight network topology dependent bounds on the round complexity of computing well studied $k$-party functions such as set disjointness and element distinctness. Unlike the usual case in the CONGEST model in distributed computing,…

Computational Complexity · Computer Science 2016-11-02 Arkadev Chattopadhyay , Michael Langberg , Shi Li , Atri Rudra

Let $N$ local decision makers in a sensor network communicate with their neighbors to reach a decision \emph{consensus}. Communication is local, among neighboring sensors only, through noiseless or noisy links. We study the design of the…

Information Theory · Computer Science 2007-07-13 Soummya Kar , Saeed Aldosari , José M. F. Moura

A nonsplit graph is a directed graph where each pair of nodes has a common incoming neighbor. We show that the radius of such graphs is in $O(\log \log n)$, where $n$ is the number of nodes. We then generalize the result to products of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matthias Függer , Thomas Nowak , Kyrill Winkler

The construction of large-scale, low-latency networks becomes difficult as the number of nodes increases. In general, the way to construct a theoretically optimal solution is unknown. However, it is known that some methods can construct…

Combinatorics · Mathematics 2016-09-01 Ryosuke Mizuno , Yawara Ishida

In the IoT era, information is more and more frequently picked up by connected smart sensors with increasing, though limited, storage, communication and computation abilities. Whether due to privacy constraints or to the structure of the…

Machine Learning · Computer Science 2026-03-26 Igor Colin , Aurélien Bellet , Stephan Clémençon , Joseph Salmon

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We study the problem of decentralized optimization over time-varying networks with strongly convex smooth cost functions. In our approach, nodes run a multi-step gossip procedure after making each gradient update, thus ensuring approximate…

Optimization and Control · Mathematics 2022-11-08 Alexander Rogozin , Vladislav Lukoshkin , Alexander Gasnikov , Dmitry Kovalev , Egor Shulgin

We consider a network consisting of a single source and $n$ receiver nodes that are grouped into $m$ equal size communities, i.e., clusters, where each cluster includes $k$ nodes and is served by a dedicated cluster head. The source node…

Information Theory · Computer Science 2021-07-22 Baturalp Buyukates , Melih Bastopcu , Sennur Ulukus

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram