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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 study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

Social and Information Networks · Computer Science 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Networks are a widely-used tool to investigate the large-scale connectivity structure in complex systems and graphons have been proposed as an infinite size limit of dense networks. The detection of communities or other meso-scale…

Computation · Statistics 2021-01-05 Florian Klimm , Nick S. Jones , Michael T. Schaub

Community detection, also known as graph partitioning, is a well-known NP-hard combinatorial optimization problem with applications in diverse fields such as complex network theory, transportation, and smart power grids. The problem's…

Optimization and Control · Mathematics 2025-01-03 Wei Li , Yi-Lun Du , Nan Su , Konrad Tywoniuk , Kyle Godbey , Horst Stöcker

Community detection using both graphs and social networks is the focus of many algorithms. Recent methods aimed at optimizing the so-called modularity function proceed by maximizing relations within communities while minimizing…

Social and Information Networks · Computer Science 2014-06-27 Michel Crampes , Michel Plantié

Understanding community structure of social media is critical due to its broad applications such as friend recommendations, user modeling and content personalizations. Existing research uses structural metrics such as modularity and…

Social and Information Networks · Computer Science 2017-12-06 Paul Wagenseller , Feng Wang

The modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

Data Analysis, Statistics and Probability · Physics 2007-12-12 Michael J. Barber

Community detection is a fundamental statistical problem in network data analysis. Many algorithms have been proposed to tackle this problem. Most of these algorithms are not guaranteed to achieve the statistical optimality of the problem,…

Statistics Theory · Mathematics 2015-10-06 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

Recognizing number of communities and detecting community structures of complex network are discussed in this paper. As a visual and feasible algorithm, block model has been successfully applied to detect community structures in complex…

Physics and Society · Physics 2018-03-20 Hongjue Wang , Tao Wang

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

Physics and Society · Physics 2007-05-23 Santo Fortunato , Marc Barthelemy

Community structure is an important property of complex networks. An automatic discovery of such structure is a fundamental task in many disciplines, including sociology, biology, engineering, and computer science. Recently, several…

Physics and Society · Physics 2008-04-11 Jianhua Ruan , Weixiong Zhang

Modularity, first proposed by [Newman and Girvan, 2004], is one of the most popular ways to quantify the significance of community structure in complex networks. It can serve as both a standard benchmark to compare different community…

Social and Information Networks · Computer Science 2022-02-14 Qian Wang , Yongkang Guo , Zhihuan Huang , Yuqing Kong

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

Detecting communities in large networks has drawn much attention over the years. While modularity remains one of the more popular methods of community detection, the so-called resolution limit remains a significant drawback. To overcome…

Physics and Society · Physics 2011-08-02 V. A. Traag , P. Van Dooren , Y. Nesterov

The identification of modular structures is essential for characterizing real networks formed by a mesoscopic level of organization where clusters contain nodes with a high internal degree of connectivity. Many methods have been developed…

Physics and Society · Physics 2015-03-04 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

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

A common data mining task on networks is community detection, which seeks an unsupervised decomposition of a network into structural groups based on statistical regularities in the network's connectivity. Although many methods exist, the No…

Machine Learning · Statistics 2020-08-10 Amir Ghasemian , Homa Hosseinmardi , Aaron Clauset

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We…

Statistical Mechanics · Physics 2013-05-09 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

The study of network structure is pervasive in sociology, biology, computer science, and many other disciplines. One of the most important areas of network science is the algorithmic detection of cohesive groups of nodes called…

Social and Information Networks · Computer Science 2013-04-18 Huiyi Hu , Thomas Laurent , Mason A. Porter , Andrea L. Bertozzi
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