Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods have two major limits: (1) the resolution limit problem, which prohib...

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Main Authors: Kun Gao, Xuezao Ren, Lei Zhou, Junfang Zhu
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/3/1774
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author Kun Gao
Xuezao Ren
Lei Zhou
Junfang Zhu
author_facet Kun Gao
Xuezao Ren
Lei Zhou
Junfang Zhu
author_sort Kun Gao
collection DOAJ
description Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods have two major limits: (1) the resolution limit problem, which prohibits communities of heterogeneous sizes being simultaneously detected, and (2) divergent outputs of the heuristic algorithm, which make it difficult to differentiate relevant and irrelevant results. In this paper, we propose an improved method for community detection based on a scalable community “fitness function.” We introduce a new parameter to enhance its scalability, and a strict strategy to filter the outputs. Due to the scalability, on the one hand, our method is free of the resolution limit problem and performs excellently on large heterogeneous networks, while on the other hand, it is capable of detecting more levels of communities than previous methods in deep hierarchical networks. Moreover, our strict strategy automatically removes redundant and irrelevant results; it selectively but inartificially outputs only the best and unique community structures, which turn out to be largely interpretable by the a priori knowledge of the network, including the implanted community structures within synthetic networks, or metadata observed for real-world networks.
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spelling doaj.art-f664666c069d41118fd2c6b0956f63a92023-11-16T16:10:11ZengMDPI AGApplied Sciences2076-34172023-01-01133177410.3390/app13031774Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-FreeKun Gao0Xuezao Ren1Lei Zhou2Junfang Zhu3School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaCommunity structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods have two major limits: (1) the resolution limit problem, which prohibits communities of heterogeneous sizes being simultaneously detected, and (2) divergent outputs of the heuristic algorithm, which make it difficult to differentiate relevant and irrelevant results. In this paper, we propose an improved method for community detection based on a scalable community “fitness function.” We introduce a new parameter to enhance its scalability, and a strict strategy to filter the outputs. Due to the scalability, on the one hand, our method is free of the resolution limit problem and performs excellently on large heterogeneous networks, while on the other hand, it is capable of detecting more levels of communities than previous methods in deep hierarchical networks. Moreover, our strict strategy automatically removes redundant and irrelevant results; it selectively but inartificially outputs only the best and unique community structures, which turn out to be largely interpretable by the a priori knowledge of the network, including the implanted community structures within synthetic networks, or metadata observed for real-world networks.https://www.mdpi.com/2076-3417/13/3/1774community detectionresolution limit problemmodularitymultilevel communityLouvain algorithm
spellingShingle Kun Gao
Xuezao Ren
Lei Zhou
Junfang Zhu
Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
Applied Sciences
community detection
resolution limit problem
modularity
multilevel community
Louvain algorithm
title Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
title_full Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
title_fullStr Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
title_full_unstemmed Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
title_short Automatic Detection of Multilevel Communities: Scalable, Selective and Resolution-Limit-Free
title_sort automatic detection of multilevel communities scalable selective and resolution limit free
topic community detection
resolution limit problem
modularity
multilevel community
Louvain algorithm
url https://www.mdpi.com/2076-3417/13/3/1774
work_keys_str_mv AT kungao automaticdetectionofmultilevelcommunitiesscalableselectiveandresolutionlimitfree
AT xuezaoren automaticdetectionofmultilevelcommunitiesscalableselectiveandresolutionlimitfree
AT leizhou automaticdetectionofmultilevelcommunitiesscalableselectiveandresolutionlimitfree
AT junfangzhu automaticdetectionofmultilevelcommunitiesscalableselectiveandresolutionlimitfree