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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

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

Methodology · Statistics 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

Social and Information Networks · Computer Science 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

Physics and Society · Physics 2012-02-03 Bowen Yan , Steve Gregory

We introduce a novel model for multilayer weighted networks that accounts for global noise in addition to local signals. The model is similar to a multilayer stochastic blockmodel (SBM), but the key difference is that between-block…

Social and Information Networks · Computer Science 2022-07-26 Mark He , Dylan Lu , Jason Xu , Rose Mary Xavier

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

Social and Information Networks · Computer Science 2024-03-01 Guillaume Braun , Masashi Sugiyama

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Community detection algorithms attempt to find the best clusters of nodes in an arbitrary complex network. Multi-scale ("multiresolution") community detection extends the problem to identify the best network scale(s) for these clusters. The…

Physics and Society · Physics 2015-06-11 Peter Ronhovde , Zohar Nussinov

We study the hierarchy of communities in real-world networks under a generic stochastic block model, in which the connection probabilities are structured in a binary tree. Under such model, a standard recursive bi-partitioning algorithm is…

Statistics Theory · Mathematics 2021-11-19 Lihua Lei , Xiaodong Li , Xingmei Lou

Community detection is one of the fundamental problems in the study of network data. Most existing community detection approaches only consider edge information as inputs, and the output could be suboptimal when nodal information is…

Methodology · Statistics 2016-12-13 Haolei Weng , Yang Feng

Here we propose a new method to compare the modular structure of a pair of node-aligned networks. The majority of current methods, such as normalized mutual information, compare two node partitions derived from a community detection…

Physics and Society · Physics 2020-10-14 Daniel Straulino , Mattie Landman , Neave O'Clery

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

The study of complex networks has significantly advanced our understanding of community structures which serves as a crucial feature of real-world graphs. Detecting communities in graphs is a challenging problem with applications in…

Social and Information Networks · Computer Science 2024-07-15 Jiakang Li , Songning Lai , Zhihao Shuai , Yuan Tan , Yifan Jia , Mianyang Yu , Zichen Song , Xiaokang Peng , Ziyang Xu , Yongxin Ni , Haifeng Qiu , Jiayu Yang , Yutong Liu , Yonggang Lu

Community detection is a fundamental problem in social network analysis consisting in unsupervised dividing social actors (nodes in a social graph) with certain social connections (edges in a social graph) into densely knitted and highly…

Social and Information Networks · Computer Science 2022-01-14 Petr Chunaev

We analyze the performance of spectral clustering for community extraction in stochastic block models. We show that, under mild conditions, spectral clustering applied to the adjacency matrix of the network can consistently recover hidden…

Statistics Theory · Mathematics 2014-12-31 Jing Lei , Alessandro Rinaldo

Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite programs are often slow in practice, so speed up techniques…

Optimization and Control · Mathematics 2022-05-11 Pedro Abdalla , Afonso S. Bandeira

In this work, we consider community detection in blockchain networks. We specifically take the Bitcoin network and Ethereum network as two examples, where community detection serves in different ways. For the Bitcoin network, we modify the…

Social and Information Networks · Computer Science 2021-01-19 Sissi Xiaoxiao Wu , Zixian Wu , Shihui Chen , Gangqiang Li , Shengli Zhang

The increasing prevalence of multiplex networks has spurred a critical need to take into account potential dependencies across different layers, especially when the goal is community detection, which is a fundamental learning task in…

Applications · Statistics 2024-09-19 Zhumengmeng Jin , Juan Sosa , Shangchen Song , Brenda Betancourt

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

Machine Learning · Statistics 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

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