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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

The stochastic block model (SBM) is a fundamental model for studying graph clustering or community detection in networks. It has received great attention in the last decade and the balanced case, i.e., assuming all clusters have large size,…

机器学习 · 计算机科学 2023-10-24 Chandra Sekhar Mukherjee , Pan Peng , Jiapeng Zhang

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

数据结构与算法 · 计算机科学 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

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),…

社会与信息网络 · 计算机科学 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li

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

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

The geometric block model is a recently proposed generative model for random graphs that is able to capture the inherent geometric properties of many community detection problems, providing more accurate characterizations of practical…

社会与信息网络 · 计算机科学 2019-12-16 Eli Chien , Antonia Maria Tulino , Jaime Llorca

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…

概率论 · 数学 2017-02-09 Lennart Gulikers , Marc Lelarge , Laurent Massoulié

Community detection in networks is a fundamental problem in machine learning and statistical inference, with applications in social networks, biological systems, and communication networks. The stochastic block model (SBM) serves as a…

机器学习 · 计算机科学 2026-02-06 Amir R. Asadi , Akbar Davoodi , Ramin Javadi , Farzad Parvaresh

Community detection, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

统计理论 · 数学 2015-06-04 T. Tony Cai , Xiaodong Li

New phase transition phenomena have recently been discovered for the stochastic block model, for the special case of two non-overlapping symmetric communities. This gives raise in particular to new algorithmic challenges driven by the…

概率论 · 数学 2015-04-07 Emmanuel Abbe , Colin Sandon

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

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

社会与信息网络 · 计算机科学 2018-09-21 Yunpeng Zhao

We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point…

概率论 · 数学 2020-03-20 Emmanuel Abbe , Francois Baccelli , Abishek Sankararaman

We consider the problem of community detection or clustering in the labeled Stochastic Block Model (LSBM) with a finite number $K$ of clusters of sizes linearly growing with the global population of items $n$. Every pair of items is labeled…

概率论 · 数学 2016-05-24 Se-Young Yun , Alexandre Proutiere

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…

密码学与安全 · 计算机科学 2024-06-06 Dung Nguyen , Anil Vullikanti

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…

社会与信息网络 · 计算机科学 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

The stochastic block model (SBM) with two communities, or equivalently the planted bisection model, is a popular model of random graph exhibiting a cluster behaviour. In the symmetric case, the graph has two equally sized clusters and…

社会与信息网络 · 计算机科学 2014-10-29 Emmanuel Abbe , Afonso S. Bandeira , Georgina Hall

In community detection on graphs, the semi-supervised learning problem entails inferring the ground-truth membership of each node in a graph, given the connectivity structure and a limited number of revealed node labels. Different subsets…

无序系统与神经网络 · 物理学 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

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…

无序系统与神经网络 · 物理学 2023-09-12 O. Duranthon , L. Zdeborová
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