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Stochastic Block Models (SBMs) are a fundamental tool for community detection in network analysis. But little theoretical work exists on the statistical performance of Bayesian SBMs, especially when the community count is unknown. This…

统计理论 · 数学 2021-01-19 Sheng Jiang , Surya Tokdar

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

社会与信息网络 · 计算机科学 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

The stochastic block model is one of the oldest and most ubiquitous models for studying clustering and community detection. In an exciting sequence of developments, motivated by deep but non-rigorous ideas from statistical physics, Decelle…

数据结构与算法 · 计算机科学 2016-03-23 Ankur Moitra , William Perry , Alexander S. Wein

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.…

统计理论 · 数学 2016-01-20 Yudong Chen , Xiaodong Li , Jiaming Xu

Community detection is an important problem when processing network data. Traditionally, this is done by exploiting the connections between nodes, but connections can be too sparse to detect communities in many real datasets. Node…

统计方法学 · 统计学 2023-06-29 Yaofang Hu , Wanjie Wang

Many community detection algorithms are inherently stochastic, leading to variations in their output depending on input parameters and random seeds. This variability makes the results of a single run of these algorithms less reliable.…

社会与信息网络 · 计算机科学 2025-02-25 Yasamin Tabatabaee , Eleanor Wedell , Minhyuk Park , Tandy Warnow

A relevant, sometimes overlooked, quality criterion for communities in graphs is that they should be well-connected in addition to being edge-dense. Prior work has shown that leading community detection methods can produce poorly-connected…

社会与信息网络 · 计算机科学 2025-08-07 The-Anh Vu-Le , Minhyuk Park , Ian Chen , George Chacko , Tandy Warnow

Spectral clustering is a widely used method for community detection in networks. We focus on a semi-supervised community detection scenario in the Partially Labeled Stochastic Block Model (PL-SBM) with two balanced communities, where a…

统计理论 · 数学 2024-12-16 Nicolas Fraiman , Michael Nisenzon

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

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

We present a novel active learning algorithm for community detection on networks. Our proposed algorithm uses a Maximal Expected Model Change (MEMC) criterion for querying network nodes label assignments. MEMC detects nodes that maximally…

社会与信息网络 · 计算机科学 2020-03-24 Dan Kushnir , Benjamin Mirabelli

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

社会与信息网络 · 计算机科学 2024-12-06 Tianjun Ke , Zhiyu Xu

The Degree-Corrected Stochastic Block Model (DCSBM) is a popular model to generate random graphs with community structure given an expected degree sequence. The standard approach of community detection based on the DCSBM is to search for…

社会与信息网络 · 计算机科学 2021-05-05 Breno Serrano , Thibaut Vidal

Based on the classical Degree Corrected Stochastic Blockmodel (DCSBM) model for network community detection problem, we propose two novel approaches: principal component clustering (PCC) and normalized principal component clustering (NPCC).…

机器学习 · 统计学 2020-11-11 Huan Qing , Jingli Wang

Node popularity is recognized as a key factor in modeling real-world networks, capturing heterogeneity in connectivity across communities. This concept is equally important in bipartite networks, where nodes in different partitions may…

机器学习 · 统计学 2025-11-25 Jony Karki , Dongzhou Huang , Yunpeng Zhao

Identifying edge-dense communities that are also well-connected is an important aspect of understanding community structure. Prior work has shown that community detection methods can produce poorly connected communities, and some can even…

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 , Lahari Anne , George Chacko , Tandy Warnow

Community detection is a fundamental task in graph analysis, with methods often relying on fitting models like the Stochastic Block Model (SBM) to observed networks. While many algorithms can accurately estimate SBM parameters when the…

机器学习 · 统计学 2025-06-05 Leonardo Martins Bianco , Christine Keribin , Zacharie Naulet

In this paper, we investigate the problem of recovering hidden communities in the Labeled Stochastic Block Model (LSBM) with a finite number of clusters whose sizes grow linearly with the total number of nodes. We derive the necessary and…

社会与信息网络 · 计算机科学 2025-09-01 Kaito Ariu , Alexandre Proutiere , Se-Young Yun

For community detection problem, spectral clustering is a widely used method for detecting clusters in networks. In this paper, we propose an improved spectral clustering (ISC) approach under the degree corrected stochastic block model…

机器学习 · 统计学 2020-11-13 Huan Qing , Jingli Wang