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This paper examines the cluster consensus problem of multi-agent systems on matrix-weighted switching networks. Necessary and/or sufficient conditions under which cluster consensus can be achieved are obtained and quantitative…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

Spectral clustering is widely used in practice due to its flexibility, computational efficiency, and well-understood theoretical performance guarantees. Recently, spectral clustering has been studied to find balanced clusters under…

Machine Learning · Statistics 2022-03-07 Shubham Gupta , Ambedkar Dukkipati

Dynamical complex systems composed of interactive heterogeneous agents are prevalent in the world, including urban traffic systems and social networks. Modeling the interactions among agents is the key to understanding and predicting the…

Multiagent Systems · Computer Science 2024-10-30 Siyuan Chen , Jiahai Wang

Modern artificial intelligence relies on networks of agents that collect data, process information, and exchange it with neighbors to collaboratively solve optimization and learning problems. This article introduces a novel distributed…

Optimization and Control · Mathematics 2026-01-15 Diego Deplano , Nicola Bastianello , Mauro Franceschelli , Karl H. Johansson

Symmetries in a network regulate its organization into functional clustered states. Given a generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the direct connection between the elements of the eigenvector…

Adaptation and Self-Organizing Systems · Physics 2023-02-22 P. Khanra , S. Ghosh , D. Aleja , K. Alfaro-Bittner , G. Contreras-Aso , R. Criado , M. Romance , S. Boccaletti , P. Pal , C. Hens

In this paper, we address two forms of consensus for multi-agent systems with undirected, signed, weighted, and connected communication graphs, under the assumption that the agents can be partitioned into three clusters, representing the…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Giulia De Pasquale , Maria Elena Valcher

Graph clustering is a fundamental and challenging task in the field of graph mining where the objective is to group the nodes into clusters taking into consideration the topology of the graph. It has several applications in diverse domains…

Machine Learning · Computer Science 2023-12-21 Aritra Bhowmick , Mert Kosan , Zexi Huang , Ambuj Singh , Sourav Medya

Spectral clustering is popular among practitioners and theoreticians alike. While performance guarantees for spectral clustering are well understood, recent studies have focused on enforcing ``fairness'' in clusters, requiring them to be…

Machine Learning · Computer Science 2022-09-27 Shubham Gupta , Ambedkar Dukkipati

We consider a network model where the nodes are grouped into a number of clusters and propose a distributed dynamic frequency allocation algorithm that achieves performance close to that of a centralized optimal algorithm. Each cluster…

Networking and Internet Architecture · Computer Science 2008-03-14 Behtash Babadi , Vahid Tarokh

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 orchestration of heterogeneous agents requires making sequential delegation decisions under uncertain and evolving agent behaviour, e.g., coordinating specialised AI models with varying reliability, cost, and response quality.…

This paper studies an optimal consensus problem for a group of heterogeneous high-order agents with unknown control directions. Compared with existing consensus results, the consensus point is further required to an optimal solution to some…

Optimization and Control · Mathematics 2020-07-28 Yutao Tang

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

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

Machine Learning · Statistics 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

We introduce a multi-agent model for exploring how selection of neighbours determines some aspects of order and cohesion in swarms. The model algorithm states that every agents' motion seeks for an optimal distance from the nearest…

Quantitative Methods · Quantitative Biology 2014-05-13 A. M. Calvão , E. Brigatti

We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of the position of every target. We address the problem of…

Robotics · Computer Science 2007-05-23 Stephen L. Smith , Francesco Bullo

Mobile microrobots are envisioned to be useful in a wide range of high-impact applications, many of which requiring cohesive group formation to maintain self-bounded swarms in the absence of confining boundaries. Cohesive group formation…

Soft Condensed Matter · Physics 2019-07-15 Berk Yigit , Yunus Alapan , Metin Sitti

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

We consider a multitask estimation problem where nodes in a network are divided into several connected clusters, with each cluster performing a least-mean-squares estimation of a different random parameter vector. Inspired by the…

Systems and Control · Computer Science 2017-04-26 Yuan Wang , Wee Peng Tay , Wuhua Hu
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