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Networks are widely used in science and technology to represent relationships between entities, such as social or ecological links between organisms, enzymatic interactions in metabolic systems, or computer infrastructure. Statistical…

Discrete Mathematics · Computer Science 2012-07-19 Alexander Gutfraind , Lauren Ancel Meyers , Ilya Safro

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

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 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

How can we accurately compare different community detection algorithms? These algorithms cluster nodes in a given network, and their performance is often validated on benchmark networks with explicit ground-truth communities. Given the lack…

Social and Information Networks · Computer Science 2018-01-08 Justin Fagnan , Afra Abnar , Reihaneh Rabbany , Osmar R. Zaiane

Clustering of single-cell RNA sequencing (scRNA-seq) datasets can give key insights into the biological functions of cells. Therefore, it is not surprising that network-based community detection methods (one of the better clustering…

Methodology · Statistics 2026-02-17 Chetkar Jha , Mingyao Li , Ian Barnett

Modeling relations between individuals is a classical question in social sciences and clustering individuals according to the observed patterns of interactions allows to uncover a latent structure in the data. Stochastic block model (SBM)…

Methodology · Statistics 2015-01-27 Pierre Barbillon , Sophie Donnet , Emmanuel Lazega , Avner Bar-Hen

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

Synthetic contact networks are useful for modeling epidemic spread and social transmission, but data to infer realistic contact patterns that take account of assortative connections at the geographic and economic levels is limited. We…

Social and Information Networks · Computer Science 2024-06-24 Alexander Y. Tulchinsky , Fardad Haghpanah , Alisa Hamilton , Nodar Kipshidze , Eili Y. Klein

The stochastic block model (SBM) is a probabilistic model for community structure in networks. Typically, only the adjacency matrix is used to perform SBM parameter inference. In this paper, we consider circumstances in which nodes have an…

Social and Information Networks · Computer Science 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

Benchmarks stand as vital cornerstones in elevating SLAM algorithms within mobile robotics. Consequently, ensuring accurate and reproducible ground truth generation is vital for fair evaluation. A majority of outdoor ground truths are…

Robotics · Computer Science 2024-03-01 Effie Daum , Maxime Vaidis , François Pomerleau

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

We perform a systematic analysis of the quality of fit of the stochastic block model (SBM) for 275 empirical networks spanning a wide range of domains and orders of size magnitude. We employ posterior predictive model checking as a…

Physics and Society · Physics 2022-06-01 Felipe Vaca-Ramírez , Tiago P. Peixoto

The stochastic block model (SBM) is a popular model for capturing community structure and interaction within a network. Network data with non-Boolean edge weights is becoming commonplace; however, existing analysis methods convert such data…

Methodology · Statistics 2020-07-20 Matthew Ludkin

Integral to the problem of detecting communities through graph clustering is the expectation that they are "well connected". In this respect, we examine five different community detection approaches optimizing different criteria: the Leiden…

The stochastic block model (SBM) is a flexible probabilistic tool that can be used to model interactions between clusters of nodes in a network. However, it does not account for interactions of time varying intensity between clusters. The…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

A common method for delineating urban and suburban boundaries is to identify clusters of spatial units that are highly interconnected in a network of commuting flows, each cluster signaling a cohesive economic submarket. It is critical that…

Physics and Society · Physics 2024-05-09 Sebastian Morel-Balbi , Alec Kirkley

In complex systems, the network of interactions we observe between system's components is the aggregate of the interactions that occur through different mechanisms or layers. Recent studies reveal that the existence of multiple interaction…

Physics and Society · Physics 2016-04-06 Toni Valles-Catala , Francesco A. Massucci , Roger Guimera , Marta Sales-Pardo

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

Stochastic block models (SBMs) are often used to find assortative community structures in networks, such that the probability of connections within communities is higher than in between communities. However, classic SBMs are not limited to…

Social and Information Networks · Computer Science 2020-04-27 Daniel Gribel , Thibaut Vidal , Michel Gendreau