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We analyze the performance of spectral clustering for community extraction in stochastic block models. We show that, under mild conditions, spectral clustering applied to the adjacency matrix of the network can consistently recover hidden…

统计理论 · 数学 2014-12-31 Jing Lei , Alessandro Rinaldo

Community detection provides invaluable help for various applications, such as marketing and product recommendation. Traditional community detection methods designed for plain networks may not be able to detect communities with homogeneous…

社会与信息网络 · 计算机科学 2017-05-11 Peng Wu , Li Pan

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

社会与信息网络 · 计算机科学 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

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

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

Inference of community structure in probabilistic graphical models may not be consistent with fairness constraints when nodes have demographic attributes. Certain demographics may be over-represented in some detected communities and…

机器学习 · 统计学 2026-02-23 Davoud Ataee Tarzanagh , Laura Balzano , Alfred O. Hero

This paper considers the problem of algorithm selection for community detection. The aim of community detection is to identify sets of nodes in a network which are more interconnected relative to their connectivity to the rest of the…

社会与信息网络 · 计算机科学 2010-10-27 Leto Peel

Community detection in networks has drawn much attention in diverse fields, especially social sciences. Given its significance, there has been a large body of literature with approaches from many fields. Here we present a statistical…

统计方法学 · 统计学 2014-12-18 Lijun Peng , Luis Carvalho

Decision-making processes often involve voting. Human interactions with exogenous entities such as legislations or products can be effectively modeled as two-mode (bipartite) signed networks-where people can either vote positively,…

物理与社会 · 物理学 2025-02-05 Elena Candellone , Erik-Jan van Kesteren , Sofia Chelmi , Javier Garcia-Bernardo

Consider a network consisting of two subnetworks (communities) connected by some external edges. Given the network topology, the community detection problem can be cast as a graph partitioning problem that aims to identify the external…

社会与信息网络 · 计算机科学 2023-07-19 Pin-Yu Chen , Alfred O. Hero

Detecting communities in networks and graphs is an important task across many disciplines such as statistics, social science and engineering. There are generally three different kinds of mixing patterns for the case of two communities:…

统计方法学 · 统计学 2023-10-10 Xiancheng Lin , Hao Chen

In this paper, we consider the community detection problem under either the stochastic block model (SBM) assumption or the degree-correlated stochastic block model (DCSBM) assumption. The modularity maximization formulation for the…

最优化与控制 · 数学 2017-08-04 Junyu Zhang , Haoyang Liu , Zaiwen Wen , Shuzhong Zhang

Community detection is an important content in complex network analysis. The existing community detection methods in attributed networks mostly focus on only using network structure, while the methods of integrating node attributes is…

社会与信息网络 · 计算机科学 2023-09-01 Xiao Wang , Fang Dai , Wenyan Guo , Junfeng Wang

Community structure is a critical feature of real networks, providing insights into nodes' internal organization. Nowadays, with the availability of highly detailed temporal networks such as link streams, studying community structures…

社会与信息网络 · 计算机科学 2023-10-05 Yasaman Asgari , Remy Cazabet , Pierre Borgnat

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

机器学习 · 统计学 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

The task of \emph{community detection} in a graph formalizes the intuitive task of grouping together subsets of vertices such that vertices within clusters are connected tighter than those in disparate clusters. This paper approaches…

社会与信息网络 · 计算机科学 2015-10-12 Ramezan Paravi Torghabeh , Narayana Prasad Santhanam

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

社会与信息网络 · 计算机科学 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

社会与信息网络 · 计算机科学 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

In this paper, we present and analyze a simple and robust spectral algorithm for the stochastic block model with $k$ blocks, for any $k$ fixed. Our algorithm works with graphs having constant edge density, under an optimal condition on the…

数据结构与算法 · 计算机科学 2015-06-25 Peter Chin , Anup Rao , Van Vu

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

社会与信息网络 · 计算机科学 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni