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Stochastic blockmodels and variants thereof are among the most widely used approaches to community detection for social networks and relational data. A stochastic blockmodel partitions the nodes of a network into disjoint sets, called…

Methodology · Statistics 2015-09-16 Diego Franco Saldana , Yi Yu , Yang Feng

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

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

Applications · Statistics 2020-03-24 Subhadeep Paul , Yuguo Chen

Revealing underlying relations between nodes in a network is one of the most important tasks in network analysis. Using tools and techniques from a variety of disciplines, many community recovery methods have been developed for different…

Statistics Theory · Mathematics 2022-02-14 Kalle Alaluusua , Lasse Leskelä

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

We propose a generalized stochastic block model to explore the mesoscopic structures in signed networks by grouping vertices that exhibit similar positive and negative connection profiles into the same cluster. In this model, the group…

Social and Information Networks · Computer Science 2015-06-17 Jonathan Q. Jiang

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

The Degree Corrected Stochastic Block Model (DCSBM) was introduced by \cite{karrer2011stochastic} as a generalization of the stochastic block model in which vertices of the same community are allowed to have distinct degree distributions.…

Statistics Theory · Mathematics 2024-06-27 Andressa Cerqueira , Sandro Gallo , Florencia Leonardi , Cristel Vera

The mixed membership stochastic blockmodel (MMSB) is a popular framework for community detection and network generation. It learns a low-rank mixed membership representation for each node across communities by exploiting the underlying…

Machine Learning · Computer Science 2020-02-25 Yue Zhang , Arti Ramesh

We study the problem of community recovery and detection in multi-layer stochastic block models, focusing on the critical network density threshold for consistent community structure inference. Using a prototypical two-block model, we…

Statistics Theory · Mathematics 2023-11-15 Jing Lei , Anru R. Zhang , Zihan Zhu

Exact recovery in stochastic block models (SBMs) is well understood in undirected settings, but remains considerably less developed for directed and sparse networks, particularly when the number of communities diverges. Spectral methods for…

Machine Learning · Statistics 2026-02-18 Behzad Aalipur , Yichen Qin

The Stochastic Block Model (SBM) is a widely used random graph model for networks with communities. Despite the recent burst of interest in recovering communities in the SBM from statistical and computational points of view, there are still…

Machine Learning · Statistics 2015-12-16 Amin Jalali , Qiyang Han , Ioana Dumitriu , Maryam Fazel

The Degree-Corrected Stochastic Block Model (DCSBM) is a popular model to generate random graphs with community structure given an expected degree sequence. The standard approach of community detection based on the DCSBM is to search for…

Social and Information Networks · Computer Science 2021-05-05 Breno Serrano , Thibaut Vidal

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

Social and Information Networks · Computer Science 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human…

Social and Information Networks · Computer Science 2021-08-16 Jane Carlen , Jaume de Dios Pont , Cassidy Mentus , Shyr-Shea Chang , Stephanie Wang , Mason A. Porter

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

Massive network datasets are becoming increasingly common in scientific applications. Existing community detection methods encounter significant computational challenges for such massive networks due to two reasons. First, the full network…

Methodology · Statistics 2025-03-24 Subhankar Bhadra , Marianna Pensky , Srijan Sengupta

The stochastic block model (SBM) is a popular tool for community detection in networks, but fitting it by maximum likelihood (MLE) involves a computationally infeasible optimization problem. We propose a new semidefinite programming (SDP)…

Machine Learning · Computer Science 2016-03-17 Arash A. Amini , Elizaveta Levina

We present a novel active learning algorithm for community detection on networks. Our proposed algorithm uses a Maximal Expected Model Change (MEMC) criterion for querying network nodes label assignments. MEMC detects nodes that maximally…

Social and Information Networks · Computer Science 2020-03-24 Dan Kushnir , Benjamin Mirabelli

Semidefinite programs have recently been developed for the problem of community detection, which may be viewed as a special case of the stochastic blockmodel. Here, we develop a semidefinite program that can be tailored to other instances…

Statistics Theory · Mathematics 2016-11-17 David Choi