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This chapter provides a self-contained introduction to the use of Bayesian inference to extract large-scale modular structures from network data, based on the stochastic blockmodel (SBM), as well as its degree-corrected and overlapping…

Machine Learning · Statistics 2023-03-23 Tiago P. Peixoto

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

We survey some of the concepts, methods, and applications of community detection, which has become an increasingly important area of network science. To help ease newcomers into the field, we provide a guide to available methodology and…

Physics and Society · Physics 2016-09-08 Mason A. Porter , Jukka-Pekka Onnela , Peter J. Mucha

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

Social and Information Networks · Computer Science 2014-02-20 Se-Young Yun , Alexandre Proutiere

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We…

Statistical Mechanics · Physics 2013-05-09 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

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…

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

Machine Learning · Statistics 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

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

The human body consists of microbiomes associated with the development and prevention of several diseases. These microbial organisms form several complex interactions that are informative to the scientific community for explaining disease…

Methodology · Statistics 2024-04-16 Tejasv Bedi , Bencong Zhu , Michael L. Neugent , Kevin C. Lutz , Nicole J. De Nisco , Qiwei Li

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

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

In the standard stochastic block model for networks, the probability of a connection between two nodes, often referred to as the edge probability, depends on the unobserved communities each of these nodes belongs to. We consider a flexible…

Econometrics · Economics 2024-02-27 Yuichi Kitamura , Louise Laage

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

Computers and Society · Computer Science 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

The Mixed-Membership Stochastic Blockmodel~(MMSB) is proposed as one of the state-of-the-art Bayesian relational methods suitable for learning the complex hidden structure underlying the network data. However, the current formulation of…

Machine Learning · Statistics 2020-02-04 Zheng Yu , Xuhui Fan , Marcin Pietrasik , Marek Reformat

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Characterizing large-scale organization in networks, including multilayer networks, is one of the most prominent topics in network science and is important for many applications. One type of mesoscale feature is community structure, in…

Social and Information Networks · Computer Science 2018-12-10 A. Roxana Pamfil , Sam D. Howison , Renaud Lambiotte , Mason A. Porter

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

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

Social and Information Networks · Computer Science 2011-10-20 Leto Peel
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