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Almost Exact Recovery in Gossip Opinion Dynamics Over Stochastic Block Models
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control). (Digital Futures)ORCID iD: 0000-0003-2641-2962
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control). (Digital Futures)ORCID iD: 0000-0001-9940-5929
2023 (English)In: 2023 62nd IEEE Conference on Decision and Control, CDC 2023, Institute of Electrical and Electronics Engineers (IEEE) , 2023, p. 2421-2426Conference paper, Published paper (Refereed)
Abstract [en]

We study community detection based on state observations from gossip opinion dynamics over stochastic block models (SBM). It is assumed that a network is generated from a two-community SBM where each agent has a community label and each edge exists with probability depending on its endpoints' labels. A gossip process then evolves over the sampled network. We propose two algorithms to detect the communities out of a single trajectory of the process. It is shown that, when the influence of stubborn agents is small and the link probability within communities is large, an algorithm based on clustering transient agent states can achieve almost exact recovery of the communities. That is, the algorithm can recover all but a vanishing part of community labels with high probability. In contrast, when the influence of stubborn agents is large, another algorithm based on clustering time average of agent states can achieve almost exact recovery. Numerical experiments are given for illustration of the two algorithms and the theoretical results of the paper.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2023. p. 2421-2426
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-343716DOI: 10.1109/CDC49753.2023.10383465ISI: 001166433802008Scopus ID: 2-s2.0-85184803048OAI: oai:DiVA.org:kth-343716DiVA, id: diva2:1839911
Conference
62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, Dec 13 2023 - Dec 15 2023
Note

Part of ISBN 9798350301243

QC 20240222

Available from: 2024-02-22 Created: 2024-02-22 Last updated: 2024-04-05Bibliographically approved

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Xing, YuJohansson, Karl H.

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Total: 32 hits
CiteExportLink to record
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  • apa
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