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The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physics and computer science literature. Recently this area has…

Probability · Mathematics 2020-05-05 Gerandy Brito , Ioana Dumitriu , Shirshendu Ganguly , Christopher Hoffman , Linh V. Tran

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

The problem of recovering planted community structure in random graphs has received a lot of attention in the literature on the stochastic block model, where the input is a random graph in which edges crossing between different communities…

Data Structures and Algorithms · Computer Science 2026-01-26 Michael Kapralov , Luca Trevisan , Weronika Wrzos-Kaminska

Community detection has arisen as one of the most relevant topics in the field of graph data mining due to its importance in many fields such as biology, social networks or network traffic analysis. The metrics proposed to shape communities…

Social and Information Networks · Computer Science 2012-07-27 Arnau Prat-Pérez , David Dominguez-Sal , Josep M. Brunat , Josep-Lluis Larriba-Pey

Learning community structures in graphs has broad applications across scientific domains. While graph neural networks (GNNs) have been successful in encoding graph structures, existing GNN-based methods for community detection are limited…

Machine Learning · Statistics 2024-08-05 Yueqi Wang , Yoonho Lee , Pallab Basu , Juho Lee , Yee Whye Teh , Liam Paninski , Ari Pakman

Community detection algorithms are fundamental tools to understand organizational principles in social networks. With the increasing power of social media platforms, when detecting communities there are two possi- ble sources of information…

Social and Information Networks · Computer Science 2016-04-14 Yuan Li

To unravel the driving patterns of networks, the most popular models rely on community detection algorithms. However, these approaches are generally unable to reproduce the structural features of the network. Therefore, attempts are always…

Social and Information Networks · Computer Science 2022-09-07 Martina Contisciani , Hadiseh Safdari , Caterina De Bacco

Community detection in weighted networks has been a popular topic in recent years. However, while there exist several flexible methods for estimating communities in weighted networks, these methods usually assume that the number of…

Social and Information Networks · Computer Science 2023-04-12 Huan Qing

Most recent developments on the stochastic block model (SBM) rely on the knowledge of the model parameters, or at least on the number of communities. This paper introduces efficient algorithms that do not require such knowledge and yet…

Probability · Mathematics 2015-06-12 Emmanuel Abbe , Colin Sandon

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

We study graph matching between two correlated networks in the almost fully seeded regime, where all but a vanishing fraction of vertex correspondences are revealed. Concretely, we consider the correlated stochastic block model and assume…

Statistics Theory · Mathematics 2026-02-10 Nicolas Fraiman , Michael Nisenzon

Neural node embeddings have recently emerged as a powerful representation for supervised learning tasks involving graph-structured data. We leverage this recent advance to develop a novel algorithm for unsupervised community discovery in…

Social and Information Networks · Computer Science 2017-06-30 Weicong Ding , Christy Lin , Prakash Ishwar

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

Machine Learning · Statistics 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

Community detection is a widely-studied unsupervised learning problem in which the task is to group similar entities together based on observed pairwise entity interactions. This problem has applications in diverse domains such as social…

Social and Information Networks · Computer Science 2020-04-21 Jimit Majmudar , Stephen Vavasis

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

Methodology · Statistics 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

Physics and Society · Physics 2010-09-17 Santo Fortunato

Resolving a conjecture of Abbe, Bandeira and Hall, the authors have recently shown that the semidefinite programming (SDP) relaxation of the maximum likelihood estimator achieves the sharp threshold for exactly recovering the community…

Machine Learning · Statistics 2016-06-16 Bruce Hajek , Yihong Wu , Jiaming Xu

Community detection remains an important problem in data mining, owing to the lack of scalable algorithms that exploit all aspects of available data - namely the directionality of flow of information and the dynamics thereof. Most existing…

Social and Information Networks · Computer Science 2018-05-15 Rajagopal Venkatesaramani , Yevgeniy Vorobeychik

A relevant, sometimes overlooked, quality criterion for communities in graphs is that they should be well-connected in addition to being edge-dense. Prior work has shown that leading community detection methods can produce poorly-connected…

Social and Information Networks · Computer Science 2025-08-07 The-Anh Vu-Le , Minhyuk Park , Ian Chen , George Chacko , Tandy Warnow