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Parallel applications with irregular and time-varying workloads often suffer from load imbalance. Dynamic load balancing techniques address this challenge by redistributing work during execution. We present a new type of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-25 Maya Taylor , Kavitha Chandrasekar , Laxmikant V. Kale

Spatio-temporal processes often exhibit highly heterogeneous and non-intuitive responses to localized disruptions, limiting the effectiveness of conventional message passing approaches in modeling local heterogeneity. We reformulate…

Machine Learning · Computer Science 2026-04-21 Abeer Mostafa , Raneen Younis , Zahra Ahmadi

In this paper we explore the link between the theory of sheaves on graphs and noncommutative geometry showing that many concepts and constructions in the latter can be generalized and enhanced using methods coming from the former. They…

Differential Geometry · Mathematics 2026-02-25 Rita Fioresi , Angelica Simonetti , Ferdinando Zanchetta

This study develops an original and innovative matrix representation with respect to the information flow for networked multi-agent system. To begin with, the general concepts of the edge Laplacian of digraph are proposed with its algebraic…

Systems and Control · Computer Science 2015-02-25 Zhiwen Zeng , Xiangke Wang , Zhiqiang Zheng

Distributed algorithms of multi-agent coordination have attracted substantial attention from the research community; the simplest and most thoroughly studied of them are consensus protocols in the form of differential or difference…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Ming Cao

This paper outlines a program in what one might call spectral sheaf theory --- an extension of spectral graph theory to cellular sheaves. By lifting the combinatorial graph Laplacian to the Hodge Laplacian on a cellular sheaf of vector…

Algebraic Topology · Mathematics 2019-09-05 Jakob Hansen , Robert Ghrist

We study nonconvex distributed optimization in multiagent networks where the communications between nodes is modeled as a time-varying sequence of arbitrary digraphs. We introduce a novel broadcast-based distributed algorithmic framework…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-16 Ying Sun , Gesualdo Scutari , Daniel Palomar

This paper considers the distributed consensus problems for multi-agent systems with general linear and Lipschitz nonlinear dynamics. Distributed relative-state consensus protocols with an adaptive law for adjusting the coupling weights…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Wei Ren , Xiangdong Liu , Mengyin Fu

Sheaf Neural Networks (SNNs) were introduced as an extension of Graph Convolutional Networks to address oversmoothing on heterophilous graphs by attaching a sheaf to the input graph and replacing the adjacency-based operator with a sheaf…

Machine Learning · Computer Science 2026-03-06 Ferran Hernandez Caralt , Mar Gonzàlez i Català , Adrián Bazaga , Pietro Liò

Multiplex networks describe systems whose interactions can be of different nature, and are fundamental to understand complexity of networks beyond the framework of simple graphs. Recently it has been pointed out that restricting the…

Physics and Society · Physics 2022-11-14 Reza Ghorbanchian , Vito Latora , Ginestra Bianconi

Local interaction laws governing multi-agent systems can be difficult to recover from trajectory data, even when the dynamics are observed faithfully. In systems governed by a nonlinear sheaf Laplacian -- a generalization of the graph…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Nivar Anwer , Hans Riess , Matthew Hale

We present a practical asynchronous data fusion model for networked agents to perform distributed Bayesian learning without sharing raw data. Our algorithm uses a gossip-based approach where pairs of randomly selected agents employ…

Machine Learning · Computer Science 2022-11-17 Kinjal Bhar , He Bai , Jemin George , Carl Busart

Coordination is a desirable feature in multi-agent systems, allowing the execution of tasks that would be impossible by individual agents. We study coordination by a team of strategic agents choosing to undertake one of the multiple tasks.…

Systems and Control · Electrical Eng. & Systems 2022-12-22 Yi Wei , Marcos M. Vasconcelos

Adaptive networks are well-suited to perform decentralized information processing and optimization tasks and to model various types of self-organized and complex behavior encountered in nature. Adaptive networks consist of a collection of…

Multiagent Systems · Computer Science 2013-05-07 Ali H. Sayed

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

In this note we investigate the problem of global exponential synchronization of multi-agent systems described by nonlinear input affine dynamics. We consider the case of networks described by undirected connected graphs possibly without…

Optimization and Control · Mathematics 2024-11-01 Vincent Andrieu , Daniele Astolfi , Alexandre Cellier-Devaux

The multitask diffusion LMS is an efficient strategy to simultaneously infer, in a collaborative manner, multiple parameter vectors. Existing works on multitask problems assume that all agents respond to data synchronously. In several…

Systems and Control · Computer Science 2016-08-15 Roula Nassif , Cédric Richard , André Ferrari , Ali H. Sayed

Due to the expanding scope of machine learning (ML) to the fields of sensor networking, cooperative robotics and many other multi-agent systems, distributed deployment of inference algorithms has received a lot of attention. These…

Machine Learning · Computer Science 2024-01-09 Kinjal Bhar , He Bai , Jemin George , Carl Busart

Real-world social and/or operational networks consist of agents with associated states, whose connectivity forms complex topologies. This complexity is further compounded by interconnected information layers, consisting, for instance,…

Social and Information Networks · Computer Science 2016-02-22 Shahin Mahdizadehaghdam , Han Wang , Hamid Krim , Liyi Dai

Multi-agent systems cooperation to achieve global goals is usually limited by sensing, actuation, and communication issues. At the local level, continuous measurement and actuation is only approximated by the use of digital mechanisms that…

Optimization and Control · Mathematics 2016-11-18 Eloy Garcia , Yongcan Cao , David W. Casbeer