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Modularity maximization is one of the state-of-the-art methods for community detection that has gained popularity in the last decade. Yet it suffers from the resolution limit problem by preferring under certain conditions large communities…

Social and Information Networks · Computer Science 2017-10-10 Xiaoyan Lu , Konstantin Kuzmin , Mingming Chen , Boleslaw K. Szymanski

Modularity maximization has been a fundamental tool for understanding the community structure of a network, but the underlying optimization problem is nonconvex and NP-hard to solve. State-of-the-art algorithms like the Louvain or Leiden…

Machine Learning · Computer Science 2020-12-07 Po-Wei Wang , J. Zico Kolter

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Modular and hierarchical community structures are pervasive in real-world complex systems. A great deal of effort has gone into trying to detect and study these structures. Important theoretical advances in the detection of modular have…

Social and Information Networks · Computer Science 2023-06-01 Michael T. Schaub , Jiaze Li , Leto Peel

One of the most widely used methods for community detection in networks is the maximization of the quality function known as modularity. Of the many maximization techniques that have been used in this context, some of the most conceptually…

Physics and Society · Physics 2015-11-24 Xiao Zhang , M. E. J. Newman

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

Methodology · Statistics 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin

One of the most relevant tasks in network analysis is the detection of community structures, or clustering. Most popular techniques for community detection are based on the maximization of a quality function called modularity, which in turn…

Numerical Analysis · Mathematics 2014-07-23 Dario Fasino , Francesco Tudisco

Community detection is a fundamental problem in network analysis, with applications in many diverse areas. The stochastic block model is a common tool for model-based community detection, and asymptotic tools for checking consistency of…

Statistics Theory · Mathematics 2015-03-18 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

Social and Information Networks · Computer Science 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

Dynamic community detection provides a coherent description of network clusters over time, allowing one to track the growth and death of communities as the network evolves. However, modularity maximization, a popular method for performing…

Physics and Society · Physics 2018-05-25 Michael Vaiana , Sarah F. Muldoon

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

Community detection is of great importance for online social network analysis. The volume, variety and velocity of data generated by today's online social networks are advancing the way researchers analyze those networks. For instance,…

Social and Information Networks · Computer Science 2019-11-12 Di Zhuang , J. Morris Chang , Mingchen Li

Identifying community structure in networks is an issue of particular interest in network science. The modularity introduced by Newman and Girvan [Phys. Rev. E 69, 026113 (2004)] is the most popular quality function for community detection…

Social and Information Networks · Computer Science 2016-01-27 Atsushi Miyauchi , Yasushi Kawase

In this paper we apply theoretical and practical results from facility location theory to the problem of community detection in networks. The result is an algorithm that computes bounds on a minimization variant of local modularity. We also…

We develop a Bayesian hierarchical model to identify communities in networks for which we do not observe the edges directly, but instead observe a series of interdependent signals for each of the nodes. Fitting the model provides an…

Social and Information Networks · Computer Science 2020-02-12 Till Hoffmann , Leto Peel , Renaud Lambiotte , Nick S. Jones

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Multiplex networks have emerged as a promising approach for modeling complex systems, where each layer represents a different mode of interaction among entities of the same type. A core task in analyzing these networks is to identify the…

Social and Information Networks · Computer Science 2024-11-11 Meiby Ortiz-Bouza , Selin Aviyente

Research into detection of dense communities has recently attracted increasing attention within network science, various metrics for detection of such communities have been proposed. The most popular metric -- Modularity -- is based on the…

Physics and Society · Physics 2025-04-30 Ke-ke Shang , Michael Small , Yan Wang , Di Yin , Shu Li

Community structure is largely regarded as an intrinsic property of complex real-world networks. However, recent studies reveal that networks comprise even more sophisticated modules than classical cohesive communities. More precisely,…

Physics and Society · Physics 2011-10-13 Lovro Šubelj , Marko Bajec

The identification of community structure in a social network is an important problem tackled in the literature of network analysis. There are many solutions to this problem using a static scenario, when facing a dynamic scenario some…

Social and Information Networks · Computer Science 2021-12-01 Aurélio Ribeiro Costa
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