Modularity Based Community Detection in Hypergraphs

Fuente: arXiv
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Main Authors: Kamiński, Bogumił, Misiorek, Paweł, Prałat, Paweł, Théberge, François
Format: Preprint
Published: 2024
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author Kamiński, Bogumił
Misiorek, Paweł
Prałat, Paweł
Théberge, François
author_facet Kamiński, Bogumił
Misiorek, Paweł
Prałat, Paweł
Théberge, François
contents In this paper, we propose a scalable community detection algorithm using hypergraph modularity function, h-Louvain. It is an adaptation of the classical Louvain algorithm in the context of hypergraphs. We observe that a direct application of the Louvain algorithm to optimize the hypergraph modularity function often fails to find meaningful communities. We propose a solution to this issue by adjusting the initial stage of the algorithm via carefully and dynamically tuned linear combination of the graph modularity function of the corresponding two-section graph and the desired hypergraph modularity function. The process is guided by Bayesian optimization of the hyper-parameters of the proposed procedure. Various experiments on synthetic as well as real-world networks are performed showing that this process yields improved results in various regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17556
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Modularity Based Community Detection in Hypergraphs
Kamiński, Bogumił
Misiorek, Paweł
Prałat, Paweł
Théberge, François
Social and Information Networks
Machine Learning
I.6.5; G.4
In this paper, we propose a scalable community detection algorithm using hypergraph modularity function, h-Louvain. It is an adaptation of the classical Louvain algorithm in the context of hypergraphs. We observe that a direct application of the Louvain algorithm to optimize the hypergraph modularity function often fails to find meaningful communities. We propose a solution to this issue by adjusting the initial stage of the algorithm via carefully and dynamically tuned linear combination of the graph modularity function of the corresponding two-section graph and the desired hypergraph modularity function. The process is guided by Bayesian optimization of the hyper-parameters of the proposed procedure. Various experiments on synthetic as well as real-world networks are performed showing that this process yields improved results in various regimes.
title Modularity Based Community Detection in Hypergraphs
topic Social and Information Networks
Machine Learning
I.6.5; G.4
url https://arxiv.org/abs/2406.17556