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Stochastic blockmodels (SBM) and their variants, $e.g.$, mixed-membership and overlapping stochastic blockmodels, are latent variable based generative models for graphs. They have proven to be successful for various tasks, such as…

Machine Learning · Computer Science 2019-05-15 Nikhil Mehta , Lawrence Carin , Piyush Rai

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

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

Probability · Mathematics 2023-10-26 Emmanuel Abbe

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

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

Discovering statistical structure from links is a fundamental problem in the analysis of social networks. Choosing a misspecified model, or equivalently, an incorrect inference algorithm will result in an invalid analysis or even falsely…

Machine Learning · Computer Science 2017-11-06 Cheng Li , Felix Wong , Zhenming Liu , Varun Kanade

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

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

Social and Information Networks · Computer Science 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

This paper proposes a novel scalable community-based neural framework for graph learning. The framework learns the graph topology through the task of community detection and link prediction by optimizing with our proposed joint SBM loss…

Social and Information Networks · Computer Science 2020-05-19 Zheng Chen , Xinli Yu , Yuan Ling , Xiaohua Hu

This paper considers the problem of community detection on multiple potentially correlated graphs from an information-theoretical perspective. We first put forth a random graph model, called the multi-view stochastic block model (MVSBM),…

Social and Information Networks · Computer Science 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li

In this study we map out the large-scale structure of citation networks of science journals and follow their evolution in time by using stochastic block models (SBMs). The SBM fitting procedures are principled methods that can be used to…

Physics and Society · Physics 2017-05-02 Darko Hric , Kimmo Kaski , Mikko Kivelä

Networks, which represent agents and interactions between them, arise in myriad applications throughout the sciences, engineering, and even the humanities. To understand large-scale structure in a network, a common task is to cluster a…

Social and Information Networks · Computer Science 2019-05-22 Zachary M. Boyd , Mason A. Porter , Andrea L. Bertozzi

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

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

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

The Stochastic Block Model (SBM) is a popular probabilistic model for random graphs. It is commonly used for clustering network data by aggregating nodes that share similar connectivity patterns into blocks. When fitting an SBM to a network…

Computation · Statistics 2021-05-28 Pierre Barbillon , Julien Chiquet , Timothée Tabouy

Stochastic block models (SBMs) are a very commonly studied network model for community detection algorithms. In the standard form of an SBM, the $n$ vertices (or nodes) of a graph are generally divided into multiple pre-determined…

Cryptography and Security · Computer Science 2024-06-06 Dung Nguyen , Anil Vullikanti

The stochastic block model (SBM) is widely studied as a benchmark for graph clustering aka community detection. In practice, graph data often come with node attributes that bear additional information about the communities. Previous works…

Disordered Systems and Neural Networks · Physics 2023-09-12 O. Duranthon , L. Zdeborová

Block modeling is widely used in studies on complex networks. The cornerstone model is the stochastic block model (SBM), widely used over the past decades. However, the SBM is limited in analyzing complex networks as the model is, in…

Social and Information Networks · Computer Science 2020-11-03 Wenning Zhang , Ryohei Hisano , Takaaki Ohnishi , Takayuki Mizuno

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

Physics and Society · Physics 2019-11-06 Abdullah Karaaslanli , Selin Aviyente
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