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Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

Local community detection, the problem of identifying a set of relevant nodes nearby a small set of input seed nodes, is an important graph primitive with a wealth of applications and research activity. Recent approaches include using local…

Social and Information Networks · Computer Science 2016-11-17 Kyle Kloster , Yixuan Li

The clustering ensemble paradigm has emerged as an effective tool for community detection in multilayer networks, which allows for producing consensus solutions that are designed to be more robust to the algorithmic selection and…

Databases · Computer Science 2018-04-19 Domenico Mandaglio , Alessia Amelio , Andrea Tagarelli

We propose a robust, scalable, integrated methodology for community detection and community comparison in graphs. In our procedure, we first embed a graph into an appropriate Euclidean space to obtain a low-dimensional representation, and…

Machine Learning · Statistics 2016-08-29 Vince Lyzinski , Minh Tang , Avanti Athreya , Youngser Park , Carey E. Priebe

The concept of community detection has long been used as a key device for handling the mesoscale structures in networks. Suitably conducted community detection reveals various embedded informative substructures of network topology. However,…

Physics and Society · Physics 2021-05-28 Daekyung Lee , Sang Hoon Lee , Beom Jun Kim , Heetae Kim

The problem of finding clusters in complex networks has been extensively studied by mathematicians, computer scientists and, more recently, by physicists. Many of the existing algorithms partition a network into clear clusters, without…

Disordered Systems and Neural Networks · Physics 2009-11-11 David Gfeller , Jean-Cédric Chappelier , Paolo De Los Rios

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

A basic question in network community detection is how modular a given network is. This is usually addressed by evaluating the quality of partitions detected in the network. The Girvan-Newman (GN) modularity function is the standard way to…

Physics and Society · Physics 2022-05-25 Filipi N. Silva , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

Community detection methods attempt to divide a network into groups of nodes that share similar properties, thus revealing its large-scale structure. A major challenge when employing such methods is that they are often degenerate, typically…

Physics and Society · Physics 2021-04-23 Tiago P. Peixoto

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

The framework of statistical inference has been successfully used to detect the meso-scale structures in complex networks, such as community structure, core-periphery (CP) structure. The main principle is that the stochastic block model…

Physics and Society · Physics 2018-08-29 Chuang Ma , Bing-Bing Xiang , Han-Shuang Chen , Hai-Feng Zhang

There is a tension between robustness and efficiency when designing Markov chain Monte Carlo (MCMC) sampling algorithms. Here we focus on robustness with respect to tuning parameters, showing that more sophisticated algorithms tend to be…

Computation · Statistics 2020-05-12 Samuel Livingstone , Giacomo Zanella

In standard graph clustering/community detection, one is interested in partitioning the graph into more densely connected subsets of nodes. In contrast, the "search" problem of this paper aims to only find the nodes in a "single" such…

Social and Information Networks · Computer Science 2018-06-22 Avik Ray , Sujay Sanghavi , Sanjay Shakkottai

Graph partitioning (GP), a.k.a. community detection, is a classic problem that divides the node set of a graph into densely-connected blocks. Following prior work on the IEEE HPEC Graph Challenge benchmark and recent advances in graph…

Social and Information Networks · Computer Science 2023-12-05 Yu Gao , Meng Qin , Yibin Ding , Li Zeng , Chaorui Zhang , Weixi Zhang , Wei Han , Rongqian Zhao , Bo Bai

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

Social and Information Networks · Computer Science 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

The problem of community detection receives great attention in recent years. Many methods have been proposed to discover communities in networks. In this paper, we propose a Gaussian stochastic blockmodel that uses Gaussian distributions to…

Social and Information Networks · Computer Science 2015-03-19 Junhao Zhang , Tongfei Chen , Junfeng Hu

A recently introduced novel community detection strategy is based on a label propagation algorithm (LPA) which uses the diffusion of information in the network to identify communities. Studies of LPAs showed that the strategy is effective…

Social and Information Networks · Computer Science 2013-03-28 Gennaro Cordasco , Luisa Gargano

In network analysis, many community detection algorithms have been developed, however, their implementation leaves unaddressed the question of the statistical validation of the results. Here we present robin(ROBustness In Network), an R…

Social networks, characterized by community structures, often rely on nodes called structural hole spanners to facilitate inter-community information dissemination. However, the dynamic nature of these networks, where spanner nodes may be…

Social and Information Networks · Computer Science 2025-08-05 Arindam Khanda , Satyaki Roy , Prithwiraj Roy , Sajal K. Das

Blockmodels are a foundational tool for modeling community structure in networks, with the stochastic blockmodel (SBM), degree-corrected blockmodel (DCBM), and popularity-adjusted blockmodel (PABM) forming a natural hierarchy of increasing…

Methodology · Statistics 2025-12-23 Subhankar Bhadra , Minh Tang , Srijan Sengupta
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