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Community detection is one of the fundamental problems of network analysis, for which a number of methods have been proposed. Most model-based or criteria-based methods have to solve an optimization problem over a discrete set of labels to…

Machine Learning · Statistics 2015-05-12 Can M. Le , Elizaveta Levina , Roman Vershynin

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

Social and Information Networks · Computer Science 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

Community detection plays an important role in understanding and exploiting the structure of complex systems. Many algorithms have been developed for community detection using modularity maximization or other techniques. In this paper, we…

Social and Information Networks · Computer Science 2020-09-28 Meng Wei , Wen Huang , Kyle A. Gallivan , Paul Van Dooren

Complex networks represent interactions between entities. They appear in various contexts such as sociology, biology, etc., and they generally contain highly connected subgroups called communities. Community detection is a well-studied…

Social and Information Networks · Computer Science 2014-06-11 Romain Campigotto , Patricia Conde Céspedes , Jean-Loup Guillaume

Discovering community structure in complex networks is a mature field since a tremendous number of community detection methods have been introduced in the literature. Nevertheless, it is still very challenging for practioners to determine…

Social and Information Networks · Computer Science 2021-04-15 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

A fundamental problem in the analysis of network data is the detection of network communities, groups of densely interconnected nodes, which may be overlapping or disjoint. Here we describe a method for finding overlapping communities based…

Social and Information Networks · Computer Science 2015-03-19 Brian Ball , Brian Karrer , M. E. J. Newman

Community structure is one of the most important properties of networks. Most community algorithms are not suitable for large networks because of their time consuming. In fact there are lots of networks with millons even billons of nodes.…

Social and Information Networks · Computer Science 2013-01-15 Jiankou Li

Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all partitions of the graph compared against a null…

Physics and Society · Physics 2015-02-17 Renaud Lambiotte , Jean-Charles Delvenne , Mauricio Barahona

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

Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Joerg Reichardt , Stefan Bornholdt

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

Methodology · Statistics 2020-03-02 Jesús Arroyo , Elizaveta Levina

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

Community detection is a fundamental problem in computational sciences with extensive applications in various fields. The most commonly used methods are the algorithms designed to maximize modularity over different partitions of the network…

Social and Information Networks · Computer Science 2023-06-27 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing

A new method for identifying communities in networks is proposed. Reference nodes, either selected using a priory information about the network or according to relevant node measurements, are obtained so as to indicate putative communities.…

Social and Information Networks · Computer Science 2019-11-06 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

In this paper, we consider the community detection problem under either the stochastic block model (SBM) assumption or the degree-correlated stochastic block model (DCSBM) assumption. The modularity maximization formulation for the…

Optimization and Control · Mathematics 2017-08-04 Junyu Zhang , Haoyang Liu , Zaiwen Wen , Shuzhong Zhang
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