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In this article, we study spectral methods for community detection based on $ \alpha$-parametrized normalized modularity matrix hereafter called $ {\bf L}_\alpha $ in heterogeneous graph models. We show, in a regime where community…

机器学习 · 统计学 2016-11-04 Hafiz Tiomoko Ali , Romain Couillet

Community detection is a fundamental problem in network analysis with many methods available to estimate communities. Most of these methods assume that the number of communities is known, which is often not the case in practice. We study a…

机器学习 · 统计学 2019-11-18 Can M. Le , Elizaveta Levina

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

统计理论 · 数学 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

In this paper, we propose a novel semi-parametric probabilistic model which considers interactions between different communities and can provide more information about the network topology besides correctly detecting communities. By using…

物理与社会 · 物理学 2008-07-11 Wei Ren , Guiying Yan , Xiaoping Liao

The labeled stochastic block model is a random graph model representing networks with community structure and interactions of multiple types. In its simplest form, it consists of two communities of approximately equal size, and the edges…

机器学习 · 统计学 2015-02-12 Marc Lelarge , Laurent Massoulié , Jiaming Xu

In recent years, there has been a surge of interest in community detection algorithms for complex networks. A variety of computational heuristics, some with a long history, have been proposed for the identification of communities or,…

物理与社会 · 物理学 2012-03-06 Michael T. Schaub , Jean-Charles Delvenne , Sophia N. Yaliraki , Mauricio Barahona

To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model builds on the random geometric graphs…

社会与信息网络 · 计算机科学 2023-11-21 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha

In this paper, we investigate community detection in networks in the presence of node covariates. In many instances, covariates and networks individually only give a partial view of the cluster structure. One needs to jointly infer the full…

统计方法学 · 统计学 2018-04-26 Bowei Yan , Purnamrita Sarkar

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Community detection is a foundational problem in data science. Its natural extension to hypergraphs captures higher-order correlations beyond pairwise interactions. In this work, we develop a quantum algorithm for hypergraph community…

量子物理 · 物理学 2025-10-10 Alexander Schmidhuber , Alexander Zlokapa

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

统计方法学 · 统计学 2020-03-02 Jesús Arroyo , Elizaveta Levina

Community detection involves grouping the nodes in the network and is one of the most-studied tasks in network science. Conventional methods usually require the specification of the number of communities $K$ in the network. This number is…

统计方法学 · 统计学 2025-09-30 Yuhua Zhang , Kori S. Zachrison , Renee Y. Hsia , Jukka-Pekka Onnela

Aiming at improving the efficiency and accuracy of community detection in complex networks, we proposed a new algorithm, which is based on the idea that communities could be detected from subnetworks by comparing the internal and external…

物理与社会 · 物理学 2016-12-20 Jihui Han , Wei Li , Weibing Deng

Given an underlying graph, we consider the following \emph{dynamics}: Initially, each node locally chooses a value in $\{-1,1\}$, uniformly at random and independently of other nodes. Then, in each consecutive round, every node updates its…

分布式、并行与集群计算 · 计算机科学 2016-07-26 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Luca Trevisan

Community detection is a well-studied problem with applications in domains ranging from networking to bioinformatics. Due to the rapid growth in the volume of real-world data, there is growing interest in accelerating contemporary community…

社会与信息网络 · 计算机科学 2023-01-23 Frank Wanye , Vitaliy Gleyzer , Edward Kao , Wu-chun Feng

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

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

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

社会与信息网络 · 计算机科学 2019-11-21 Waqas Nawaz

Community detection is one of the most critical problems in modern network science. Its applications can be found in various fields, from protein modeling to social network analysis. Recently, many papers appeared studying the problem of…

机器学习 · 统计学 2025-06-12 Fedor Noskov , Maxim Panov

We make the first steps towards generalizing the theory of stochastic block models, in the sparse regime, towards a model where the discrete community structure is replaced by an underlying geometry. We consider a geometric random graph…

机器学习 · 统计学 2022-07-04 Ronen Eldan , Dan Mikulincer , Hester Pieters