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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…

统计理论 · 数学 2018-10-02 Min Xu , Varun Jog , Po-Ling Loh

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…

社会与信息网络 · 计算机科学 2020-11-03 Wenning Zhang , Ryohei Hisano , Takaaki Ohnishi , Takayuki Mizuno

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…

概率论 · 数学 2023-10-26 Emmanuel Abbe

There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

社会与信息网络 · 计算机科学 2016-07-11 Kevin S. Xu

The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an…

机器学习 · 统计学 2023-10-18 Jie Jian , Mu Zhu , Peijun Sang

Stochastic Block Models (SBMs) are a popular approach to modeling single real-world graphs. The key idea of SBMs is to partition the vertices of the graph into blocks with similar edge densities within, as well as between different blocks.…

社会与信息网络 · 计算机科学 2024-12-23 Iiro Kumpulainen , Sebastian Dalleiger , Jilles Vreeken , Nikolaj Tatti

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…

社会与信息网络 · 计算机科学 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

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)…

统计方法学 · 统计学 2015-01-27 Pierre Barbillon , Sophie Donnet , Emmanuel Lazega , Avner Bar-Hen

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

机器学习 · 统计学 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

We generalize the stochastic block model to the important case in which edges are annotated with weights drawn from an exponential family distribution. This generalization introduces several technical difficulties for model estimation,…

机器学习 · 统计学 2013-05-27 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

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…

社会与信息网络 · 计算机科学 2020-04-27 Daniel Gribel , Thibaut Vidal , Michel Gendreau

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…

社会与信息网络 · 计算机科学 2019-05-22 Zachary M. Boyd , Mason A. Porter , Andrea L. Bertozzi

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…

机器学习 · 统计学 2021-04-22 Yali Wan , Marina Meila

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…

机器学习 · 计算机科学 2019-05-15 Nikhil Mehta , Lawrence Carin , Piyush Rai

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

统计理论 · 数学 2026-01-07 Marios Papamichalis , Regina Ruane

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…

社会与信息网络 · 计算机科学 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

Community detection in graphs often relies on ad hoc algorithms with no clear specification about the node partition they define as the best, which leads to uninterpretable communities. Stochastic block models (SBM) offer a framework to…

社会与信息网络 · 计算机科学 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

We construct a novel class of stochastic blockmodels using Bayesian nonparametric mixtures. These model allows us to jointly estimate the structure of multiple networks and explicitly compare the community structures underlying them, while…

统计方法学 · 统计学 2016-06-17 Perla Reyes , Abel Rodriguez

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…

物理与社会 · 物理学 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

We present a Bayesian formulation of weighted stochastic block models that can be used to infer the large-scale modular structure of weighted networks, including their hierarchical organization. Our method is nonparametric, and thus does…

机器学习 · 统计学 2018-01-24 Tiago P. Peixoto
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