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Networks (or graphs) are used to model the dyadic relations between entities in a complex system. In cases where there exists multiple relations between the entities, the complex system can be represented as a multilayer network, where the…

Social and Information Networks · Computer Science 2019-10-04 Abhishek Santra , Sanjukta Bhowmick , Sharma Chakravarthy

In the model-based clustering of networks, blockmodelling may be used to identify roles in the network. We identify a special case of the Stochastic Block Model (SBM) where we constrain the cluster-cluster interactions such that the density…

Computation · Statistics 2012-10-30 Aaron F. McDaid , Brendan Thomas Murphy , Nial Friel , Neil J. Hurley

We introduce an online tensor decomposition based approach for two latent variable modeling problems namely, (1) community detection, in which we learn the latent communities that the social actors in social networks belong to, and (2)…

Machine Learning · Computer Science 2015-10-06 Furong Huang , U. N. Niranjan , Mohammad Umar Hakeem , Animashree Anandkumar

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

A fast community detection algorithm based on a q-state Potts model is presented. Communities in networks (groups of densely interconnected nodes that are only loosely connected to the rest of the network) are found to coincide with the…

Statistical Mechanics · Physics 2009-11-10 Joerg Reichardt , Stefan Bornholdt

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 the task of identifying clusters or groups of nodes in a network where nodes within the same group are more connected with each other than with nodes in different groups. It has practical uses in identifying similar…

Physics and Society · Physics 2018-01-08 Mursel Tasgin , Haluk O. Bingol

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many algorithms have been developed to detect the communities in a network using connections…

Social and Information Networks · Computer Science 2015-01-21 Zhi Liu , Yan Huang

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

Local community detection consists of finding a group of nodes closely related to the seeds, a small set of nodes of interest. Such group of nodes are densely connected or have a high probability of being connected internally than their…

Social and Information Networks · Computer Science 2020-05-11 Dany Kamuhanda , Meng Wang , Kun He

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

We develop a method to infer community structure in directed networks where the groups are ordered in a latent one-dimensional hierarchy that determines the preferred edge direction. Our nonparametric Bayesian approach is based on a…

Social and Information Networks · Computer Science 2022-09-01 Tiago P. Peixoto

In network analysis, within-community members are more likely to be connected than between-community members, which is reflected in that the edges within a community are intercorrelated. However, existing probabilistic models for community…

Methodology · Statistics 2019-08-21 Yubai Yuan , Annie Qu

Although much of the focus of statistical works on networks has been on static networks, multiple networks are currently becoming more common among network data sets. Usually, a number of network data sets, which share some form of…

Methodology · Statistics 2018-05-29 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

Community detection is a central problem of network data analysis. Given a network, the goal of community detection is to partition the network nodes into a small number of clusters, which could often help reveal interesting structures. The…

Statistics Theory · Mathematics 2016-07-26 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

We consider the problem of estimating overlapping community memberships in a network, where each node can belong to multiple communities. More than a few communities per node are difficult to both estimate and interpret, so we focus on…

Social and Information Networks · Computer Science 2021-06-23 Jesús Arroyo , Elizaveta Levina

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

We show that a simple community detection algorithm originated from stochastic blockmodel literature achieves consistency, and even optimality, for a broad and flexible class of sparse latent space models. The class of models includes…

Machine Learning · Statistics 2020-08-05 Fengnan Gao , Zongming Ma , Hongsong Yuan

Community detection is a fascinating and rapidly evolving field, but when it comes to analyzing networks with multiple types of interactions, referred to as multilayer networks, there is still a lot of untapped potential. Despite the wide…

Social and Information Networks · Computer Science 2025-12-01 Randa Boukabene , Fatima Benbouzid Si Tayeb

Discovering overlapping community structures is a crucial step to understanding the structure and dynamics of many networks. In this paper we develop a symmetric binary matrix factorization model (SBMF) to identify overlapping communities.…

Social and Information Networks · Computer Science 2015-06-15 Zhong-Yuan Zhang , Yong Wang , Yong-Yeol Ahn