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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

Clustering and community detection with multiple graphs have typically focused on aligned graphs, where there is a mapping between nodes across the graphs (e.g., multi-view, multi-layer, temporal graphs). However, there are numerous…

Social and Information Networks · Computer Science 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

The stochastic block model (SBM) is a popular framework for studying community detection in networks. This model is limited by the assumption that all nodes in the same community are statistically equivalent and have equal expected degrees.…

Statistics Theory · Mathematics 2016-01-20 Yudong Chen , Xiaodong Li , Jiaming Xu

Community detection, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

Statistics Theory · Mathematics 2015-06-04 T. Tony Cai , Xiaodong Li

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 in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

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

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

Statistics Theory · Mathematics 2026-01-07 Marios Papamichalis , Regina Ruane

Community detection in networks is a fundamental problem in machine learning and statistical inference, with applications in social networks, biological systems, and communication networks. The stochastic block model (SBM) serves as a…

Machine Learning · Computer Science 2026-02-06 Amir R. Asadi , Akbar Davoodi , Ramin Javadi , Farzad Parvaresh

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

The stochastic block model (SBM) is an important generative model for random graphs in network science and machine learning, useful for benchmarking community detection (or clustering) algorithms. The symmetric SBM generates a graph with…

Machine Learning · Computer Science 2016-11-17 Akshay Gadde , Eyal En Gad , Salman Avestimehr , Antonio Ortega

New phase transition phenomena have recently been discovered for the stochastic block model, for the special case of two non-overlapping symmetric communities. This gives raise in particular to new algorithmic challenges driven by the…

Probability · Mathematics 2015-04-07 Emmanuel Abbe , Colin Sandon

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

In recent years there has been an increased interest in statistical analysis of data with multiple types of relations among a set of entities. Such multi-relational data can be represented as multi-layer graphs where the set of vertices…

Machine Learning · Statistics 2017-04-27 Subhadeep Paul , Yuguo Chen

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

Social and Information Networks · Computer Science 2020-05-13 Maria A. Riolo , M. E. J. Newman

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

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

The Popularity Adjusted Block Model (PABM) provides a flexible framework for community detection in network data by allowing heterogeneous node popularity across communities. However, this flexibility increases model complexity and raises…

Methodology · Statistics 2025-06-10 Quan Yuan , Binghui Liu , Danning Li , Lingzhou Xue

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

Statistics Theory · Mathematics 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

Community detection in networks has drawn much attention in diverse fields, especially social sciences. Given its significance, there has been a large body of literature with approaches from many fields. Here we present a statistical…

Methodology · Statistics 2014-12-18 Lijun Peng , Luis Carvalho