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Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

机器学习 · 统计学 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

The stochastic block model is a canonical random graph model for clustering and community detection on network-structured data. Decades of extensive study on the problem have established many profound results, among which the phase…

机器学习 · 统计学 2024-02-29 Junda Sheng , Thomas Strohmer

The contextual stochastic block model (cSBM) was proposed for unsupervised community detection on attributed graphs where both the graph and the high-dimensional node information correlate with node labels. In the context of machine…

社会与信息网络 · 计算机科学 2024-07-22 O. Duranthon , L. Zdeborová

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

数据库 · 计算机科学 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

Label propagation has proven to be an extremely fast method for detecting communities in large complex networks. Furthermore, due to its simplicity, it is also currently one of the most commonly adopted algorithms in the literature. Despite…

物理与社会 · 物理学 2011-06-29 Lovro Šubelj , Marko Bajec

Consider a network where the nodes split into $K$ different communities. The community labels for the nodes are unknown and it is of major interest to estimate them (i.e., community detection). Degree Corrected Block Model (DCBM) is a…

统计方法学 · 统计学 2014-12-01 Jiashun Jin

In this short note, we address the identifiability issues inherent in the Degree-Corrected Stochastic Block Model (DCSBM). We provide a rigorous proof demonstrating that the parameters of the DCSBM are identifiable up to a scaling factor…

统计方法学 · 统计学 2025-05-12 John Park , Yunpeng Zhao , Ning Hao

We study community detection based on state observations from gossip opinion dynamics over stochastic block models (SBM). It is assumed that a network is generated from a two-community SBM where each agent has a community label and each…

系统与控制 · 电气工程与系统科学 2023-12-06 Yu Xing , Karl H. Johansson

Learning community structures in graphs has broad applications across scientific domains. While graph neural networks (GNNs) have been successful in encoding graph structures, existing GNN-based methods for community detection are limited…

机器学习 · 统计学 2024-08-05 Yueqi Wang , Yoonho Lee , Pallab Basu , Juho Lee , Yee Whye Teh , Liam Paninski , Ari Pakman

Mixed membership community detection is a challenge problem in network analysis. To estimate the memberships and study the impact of regularized spectral clustering under the mixed membership stochastic block (MMSB) model, this article…

统计方法学 · 统计学 2021-08-29 Huan Qing , Jingli Wang

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

社会与信息网络 · 计算机科学 2024-03-01 Guillaume Braun , Masashi Sugiyama

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

The problem of community detection receives great attention in recent years. Many methods have been proposed to discover communities in networks. In this paper, we propose a Gaussian stochastic blockmodel that uses Gaussian distributions to…

社会与信息网络 · 计算机科学 2015-03-19 Junhao Zhang , Tongfei Chen , Junfeng Hu

We introduce the nested stochastic block model (NSBM) to cluster a collection of networks while simultaneously detecting communities within each network. NSBM has several appealing features including the ability to work on unlabeled…

统计方法学 · 统计学 2025-03-17 Nathaniel Josephs , Arash A. Amini , Marina Paez , Lizhen Lin

Discovering and tracking communities in time-varying networks is an important task in network science, motivated by applications in fields ranging from neuroscience to sociology. In this work, we characterize the celebrated family of…

社会与信息网络 · 计算机科学 2024-12-11 Jacob Hume , Laura Balzano

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

社会与信息网络 · 计算机科学 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

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

We consider the problem of community detection from the joint observation of a high-dimensional covariate matrix and $L$ sparse networks, all encoding noisy, partial information about the latent community labels of $n$ subjects. In the…

统计理论 · 数学 2026-02-10 Shuyang Gong , Dong Huang , Zhangsong Li

In recent years there has been an increased interest in statistical analysis of data with multiple types of relations among a set of entities. Such multi-relational data can be represented as multi-layer graphs where the set of vertices…

机器学习 · 统计学 2017-04-27 Subhadeep Paul , Yuguo Chen

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