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Related papers: Push-sum on random graphs

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In this paper, we revisit a well-known distributed projected subgradient algorithm which aims to minimize a sum of cost functions with a common set constraint. In contrast to most of existing results, weight matrices of the time-varying…

Optimization and Control · Mathematics 2021-04-29 Weijian Li , Zihan Chen , Youcheng Lou , Yiguang Hong

Push-Sum-based decentralized learning enables optimization over directed communication networks, where information exchange may be asymmetric. While convergence properties of such methods are well understood, their finite-iteration…

Machine Learning · Computer Science 2026-02-25 Yifei Liang , Yan Sun , Xiaochun Cao , Li Shen

We consider discrete-time distributed averaging algorithms over multi-agent networks with measurement noises and time-varying random graph flows. Each agent updates its state by relative states between neighbours with both additive and…

Social and Information Networks · Computer Science 2017-02-14 Tao Li , Jiexiang Wang

We introduce the Projected Push-Pull algorithm that enables multiple agents to solve a distributed constrained optimization problem with private cost functions and global constraints, in a collaborative manner. Our algorithm employs…

Optimization and Control · Mathematics 2023-10-11 Orhan Eren Akgün , Arif Kerem Dayı , Stephanie Gil , Angelia Nedić

Graph-theoretic methods have seen wide use throughout the literature on multi-agent control and optimization. When communications are intermittent and unpredictable, such networks have been modeled using random communication graphs. When…

Optimization and Control · Mathematics 2020-08-12 Beth Bjorkman , Matthew Hale , Thomas Lamkin , Benjamin Robinson , Craig Thompson

We investigate the consensus dynamics of the voter model on large random graphs with heterogeneous and directed features, focusing in particular on networks with power-law degree distributions. By extending recent results on sparse directed…

Probability · Mathematics 2025-06-19 Luca Avena , Federico Capannoli , Diego Garlaschelli , Rajat Subhra Hazra

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

Optimization and Control · Mathematics 2018-09-05 Gesualdo Scutari , Ying Sun

We propose a new belief update rule for Distributed Non-Bayesian learning in time-varying directed graphs, where a group of agents tries to collectively identify a hypothesis that best describes a sequence of observed data. We show that the…

Optimization and Control · Mathematics 2015-09-30 Angelia Nedić , Alex Olshevsky , César A. Uribe

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

In this paper, we study the leaderless consensus problem for multiple Lagrangian systems in the presence of parametric uncertainties and external disturbances under directed graphs. For achieving asymptotic behavior, a robust continuous…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Jie Mei

We analyze a class of distributed quantized consensus algorithms for arbitrary static networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate of the mean value in the network,…

Systems and Control · Computer Science 2016-11-18 Shang Shang , Paul Cuff , Pan Hui , Sanjeev Kulkarni

Randomising networks using a naive `accept-all' edge-swap algorithm is generally biased. Building on recent results for nondirected graphs, we construct an ergodic detailed balance Markov chain with non-trivial acceptance probabilities for…

Quantitative Methods · Quantitative Biology 2011-12-21 E. S. Roberts , A. C. C. Coolen

We perform a thorough study of various characteristics of the asynchronous push-pull protocol for spreading a rumor on Erd\H{o}s-R\'enyi random graphs $G_{n,p}$, for any $p>c\ln(n)/n$ with $c>1$. In particular, we provide a simple strategy…

Physics and Society · Physics 2016-08-08 Konstantinos Panagiotou , Leo Speidel

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

Distributed consensus computation over random graph processes is considered. The random graph process is defined as a sequence of random variables which take values from the set of all possible digraphs over the node set. At each time step,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Brian D. O. Anderson , Karl Henrik Johansson

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. Describing a consensus protocol as a graph spectrum filter, we present an effective new approach to the analysis and design of consensus…

Systems and Control · Computer Science 2018-08-07 Jingwen Yi , Li Chai , Jingxin Zhang

Graph-theoretic tools and techniques have seen wide use in the multi-agent systems literature, and the unpredictable nature of some multi-agent communications has been successfully modeled using random communication graphs. Across both…

Optimization and Control · Mathematics 2017-09-18 Matthew T. Hale

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

We propose a random adaptation variant of time-varying distributed averaging dynamics in discrete time. We show that this leads to novel interpretations of fundamental concepts in distributed averaging, opinion dynamics, and distributed…

Optimization and Control · Mathematics 2022-06-28 Rohit Parasnis , Ashwin Verma , Massimo Franceschetti , Behrouz Touri

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette