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The stochastic block model (SBM) is a probabilistic model for community structure in networks. Typically, only the adjacency matrix is used to perform SBM parameter inference. In this paper, we consider circumstances in which nodes have an…

Social and Information Networks · Computer Science 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, consider the symmetric stochastic block model with $q$ groups, average degree $d$, and connection…

Probability · Mathematics 2016-07-07 Jess Banks , Cristopher Moore , Joe Neeman , Praneeth Netrapalli

Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes three new, general, hierarchical frameworks to deal with this…

Social and Information Networks · Computer Science 2023-05-25 Łukasz Brzozowski , Grzegorz Siudem , Marek Gagolewski

Community detection algorithms have been widely used to study the organization of complex systems like the brain. A principal appeal of these techniques is their ability to identify a partition of brain regions (or nodes) into communities,…

Neurons and Cognition · Quantitative Biology 2017-04-20 Arian Ashourvan , Qawi K. Telesford , Timothy Verstynen , Jean M. Vettel , Danielle S. Bassett

This paper focuses on two fundamental tasks of graph analysis: community detection and node representation learning, which capture the global and local structures of graphs, respectively. In the current literature, these two tasks are…

Social and Information Networks · Computer Science 2019-09-18 Fan-Yun Sun , Meng Qu , Jordan Hoffmann , Chin-Wei Huang , Jian Tang

We study community detection in the contextual stochastic block model arXiv:1807.09596 [cs.SI], arXiv:1607.02675 [stat.ME]. In arXiv:1807.09596 [cs.SI], the second author studied this problem in the setting of sparse graphs with…

Social and Information Networks · Computer Science 2020-11-20 Chen Lu , Subhabrata Sen

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

Community identification in a network is an important problem in fields such as social science, neuroscience, and genetics. Over the past decade, stochastic block models (SBMs) have emerged as a popular statistical framework for this…

Statistics Theory · Mathematics 2018-10-02 Min Xu , Varun Jog , Po-Ling Loh

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Community detection in multi-layer undirected networks has attracted considerable attention in recent years. However, multi-layer directed networks are common in the real world, and existing community detection methods often either ignore…

Social and Information Networks · Computer Science 2025-02-28 Huan Qing

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

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

Community detection in multilayer networks, which aims to identify groups of nodes exhibiting similar connectivity patterns across multiple network layers, has attracted considerable attention in recent years. Most existing methods are…

Methodology · Statistics 2026-01-26 Dapeng Shi , Haoran Zhang , Tiandong Wang , Junhui Wang

Finding communities in networks is a problem that remains difficult, in spite of the amount of attention it has recently received. The Stochastic Block-Model (SBM) is a generative model for graphs with "communities" for which, because of…

Machine Learning · Statistics 2021-04-22 Yali Wan , Marina Meila

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

Community detection is an important content in complex network analysis. The existing community detection methods in attributed networks mostly focus on only using network structure, while the methods of integrating node attributes is…

Social and Information Networks · Computer Science 2023-09-01 Xiao Wang , Fang Dai , Wenyan Guo , Junfeng Wang

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

Data Structures and Algorithms · Computer Science 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

Statistics Theory · Mathematics 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

Social and Information Networks · Computer Science 2024-05-09 Huan Qing

The stochastic block model (SBM) is a fundamental model for studying graph clustering or community detection in networks. It has received great attention in the last decade and the balanced case, i.e., assuming all clusters have large size,…

Machine Learning · Computer Science 2023-10-24 Chandra Sekhar Mukherjee , Pan Peng , Jiapeng Zhang