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Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them…

Physics and Society · Physics 2011-03-02 Brian Karrer , M. E. J. Newman

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

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

Machine Learning · Statistics 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

Community detection, which focuses on recovering the group structure within networks, is a crucial and fundamental task in network analysis. However, the detection process can be quite challenging and unstable when community signals are…

Statistics Theory · Mathematics 2025-03-11 Tianchen Gao , Jingyuan Liu , Rui Pan , Ao Sun

In this paper we propose weighted symmetric binary matrix factorization (wSBMF) framework to detect overlapping communities in bipartite networks, which describe relationships between two types of nodes. Our method improves performance by…

Social and Information Networks · Computer Science 2015-02-17 Zhong-Yuan Zhang , Yong-Yeol Ahn

In this paper, we investigate community detection in networks in the presence of node covariates. In many instances, covariates and networks individually only give a partial view of the cluster structure. One needs to jointly infer the full…

Methodology · Statistics 2018-04-26 Bowei Yan , Purnamrita Sarkar

A network is a composition of many communities, i.e., sets of nodes and edges with stronger relationships, with distinct and overlapping properties. Community detection is crucial for various reasons, such as serving as a functional unit of…

Machine Learning · Computer Science 2021-01-19 Isa Inuwa-Dutse , Mark Liptrott , Yannis Korkontzelos

We consider community detection in Degree-Corrected Stochastic Block Models (DC-SBM). We propose a spectral clustering algorithm based on a suitably normalized adjacency matrix. We show that this algorithm consistently recovers the…

Probability · Mathematics 2017-02-09 Lennart Gulikers , Marc Lelarge , Laurent Massoulié

Designing effective algorithms for community detection is an important and challenging problem in {\em large-scale} graphs, studied extensively in the literature. Various solutions have been proposed, but many of them are centralized with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-17 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

Methodology · Statistics 2023-03-13 Andressa Cerqueira , Elizaveta Levina

Community detection involves grouping the nodes in the network and is one of the most-studied tasks in network science. Conventional methods usually require the specification of the number of communities $K$ in the network. This number is…

Methodology · Statistics 2025-09-30 Yuhua Zhang , Kori S. Zachrison , Renee Y. Hsia , Jukka-Pekka Onnela

We consider the problem of estimating common community structures in multi-layer stochastic block models, where each single layer may not have sufficient signal strength to recover the full community structure. In order to efficiently…

Statistics Theory · Mathematics 2022-03-08 Jing Lei , Kevin Z. Lin

Estimating the asymmetric numbers of communities in multi-layer directed networks is a challenging problem due to the multi-layer structures and inherent directional asymmetry, leading to possibly different numbers of sender and receiver…

Statistics Theory · Mathematics 2026-02-26 Huan Qing

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

Social and Information Networks · Computer Science 2020-05-20 Rudy Arthur

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

Social and Information Networks · Computer Science 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

Community detection is a fundamental problem in the domain of complex-network analysis. It has received great attention, and many community detection methods have been proposed in the last decade. In this paper, we propose a divisive…

Social and Information Networks · Computer Science 2016-04-20 Jianjun Cheng , Longjie Li , Mingwei Leng , Weiguo Lu , Yukai Yao , Xiaoyun Chen

Unknown node attributes in complex networks may introduce community structures that are important to distinguish from those driven by known attributes. We propose a block-corrected modularity that discounts given block structures present in…

Physics and Society · Physics 2025-08-04 Hasti Narimanzadeh , Takayuki Hiraoka , Mikko Kivelä

Community detection, the decomposition of a graph into essential building blocks, has been a core research topic in network science over the past years. Since a precise notion of what constitutes a community has remained evasive, community…

Social and Information Networks · Computer Science 2017-02-17 Michael T. Schaub , Jean-Charles Delvenne , Martin Rosvall , Renaud Lambiotte

Community detection is key to understand the structure of complex networks. However, the lack of appropriate evaluation strategies for this specific task may produce biased and incorrect results that might invalidate further analyses or…

Social and Information Networks · Computer Science 2019-09-24 Jeancarlo Campos Leão , Alberto H. F. Laender , Pedro O. S. Vaz de Melo

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