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Community detection is the task of detecting hidden communities from observed interactions. Guaranteed community detection has so far been mostly limited to models with non-overlapping communities such as the stochastic block model. In this…

机器学习 · 计算机科学 2013-10-28 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade

Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the…

社会与信息网络 · 计算机科学 2013-11-06 Arash A. Amini , Aiyou Chen , Peter J. Bickel , Elizaveta Levina

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

社会与信息网络 · 计算机科学 2014-12-24 Se-Young Yun , Alexandre Proutiere

Spectral clustering is one of the most popular algorithms for community detection in network analysis. Based on this rationale, in this paper we give the convergence rate of eigenvectors for the adjacency matrix in the $l_\infty$ norm,…

统计理论 · 数学 2019-06-18 Yan Liu , Zhiqiang Hou , Zhigang Yao , Zhidong Bai , Jiang Hu , Shurong Zheng

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

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 is the problem of identifying dense communities in networks. Motivated by transitive behavior in social networks ("thy friend is my friend"), an emerging line of work considers spatially-embedded networks, which…

概率论 · 数学 2025-12-30 Julia Gaudio , Andrew Jin

Community detection is a fundamental problem in network analysis, with applications in many diverse areas. The stochastic block model is a common tool for model-based community detection, and asymptotic tools for checking consistency of…

统计理论 · 数学 2015-03-18 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Modularity-based algorithms used for community detection have been increasing in recent years. Modularity and its application have been generating controversy since some authors argue it is not a metric without disadvantages. It has been…

社会与信息网络 · 计算机科学 2019-04-30 Rui Portocarrero Sarmento

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

机器学习 · 统计学 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

Community detection, the unsupervised task of clustering nodes of a graph, finds applications across various fields. The common approaches for community detection involve optimizing an objective function to partition the nodes into…

社会与信息网络 · 计算机科学 2025-04-17 Samin Aref , Sanchaai Mathiyarasan

Designing effective algorithms for community detection is an important and challenging problem in {\em large-scale} graphs, studied extensively in the literature. Various solutions have been proposed, but many of them are centralized with…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

Community detection has been well studied recent years, but the more realistic case of mixed membership community detection remains a challenge. Here, we develop an efficient spectral algorithm Mixed-ISC based on applying more than K…

社会与信息网络 · 计算机科学 2020-12-15 Huan Qing , Jingli Wang

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

统计计算 · 统计学 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

统计理论 · 数学 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

Semidefinite programs have recently been developed for the problem of community detection, which may be viewed as a special case of the stochastic blockmodel. Here, we develop a semidefinite program that can be tailored to other instances…

统计理论 · 数学 2016-11-17 David Choi

Multiplex networks have become increasingly more prevalent in many fields, and have emerged as a powerful tool for modeling the complexity of real networks. There is a critical need for developing inference models for multiplex networks…

社会与信息网络 · 计算机科学 2023-02-14 Arash A. Amini , Marina S. Paez , Lizhen Lin

An important challenge in big data analysis nowadays is detection of cohesive groups in large-scale networks, including social networks, genetic networks, communication networks and so. In this paper, we propose LabelRank, an efficient…

社会与信息网络 · 计算机科学 2013-05-15 Jierui Xie , Boleslaw K. Szymanski

We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

社会与信息网络 · 计算机科学 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

概率论 · 数学 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon