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相关论文: A spectral method for community detection in moder…

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In the model-based clustering of networks, blockmodelling may be used to identify roles in the network. We identify a special case of the Stochastic Block Model (SBM) where we constrain the cluster-cluster interactions such that the density…

统计计算 · 统计学 2012-10-30 Aaron F. McDaid , Brendan Thomas Murphy , Nial Friel , Neil J. Hurley

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

The bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

机器学习 · 统计学 2023-05-31 Huan Qing , Jingli Wang

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

机器学习 · 统计学 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

We develop a method to infer community structure in directed networks where the groups are ordered in a latent one-dimensional hierarchy that determines the preferred edge direction. Our nonparametric Bayesian approach is based on a…

社会与信息网络 · 计算机科学 2022-09-01 Tiago P. Peixoto

Spectral clustering has been one of the widely used methods for community detection in networks. However, large-scale networks bring computational challenges to the eigenvalue decomposition therein. In this paper, we study the spectral…

社会与信息网络 · 计算机科学 2022-01-07 Hai Zhang , Xiao Guo , Xiangyu Chang

In network inference applications, it is often desirable to detect community structure, namely to cluster vertices into groups, or blocks, according to some measure of similarity. Beyond mere adjacency matrices, many real networks also…

社会与信息网络 · 计算机科学 2021-08-06 Cong Mu , Angelo Mele , Lingxin Hao , Joshua Cape , Avanti Athreya , Carey E. Priebe

One of the most fundamental problems in network study is community detection. The stochastic block model (SBM) is a widely used model, for which various estimation methods have been developed with their community detection consistency…

统计方法学 · 统计学 2023-10-09 Sihan Huang , Jiajin Sun , Yang Feng

Modern network analysis often involves multi-layer network data in which the nodes are aligned, and the edges on each layer represent one of the multiple relations among the nodes. Current literature on multi-layer network data is mostly…

统计理论 · 数学 2024-06-18 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

Stochastic block models (SBMs) are a very commonly studied network model for community detection algorithms. In the standard form of an SBM, the $n$ vertices (or nodes) of a graph are generally divided into multiple pre-determined…

密码学与安全 · 计算机科学 2024-06-06 Dung Nguyen , Anil Vullikanti

Community detection is a crucial task in network analysis that can be significantly improved by incorporating subject-level information, i.e. covariates. However, current methods often struggle with selecting tuning parameters and analyzing…

统计方法学 · 统计学 2024-02-13 Yaofang Hu , Wanjie Wang

We propose a semidefinite programming (SDP) algorithm for community detection in the stochastic block model, a popular model for networks with latent community structure. We prove that our algorithm achieves exact recovery of the latent…

数据结构与算法 · 计算机科学 2016-12-05 Amelia Perry , Alexander S. Wein

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

Clustering of single-cell RNA sequencing (scRNA-seq) datasets can give key insights into the biological functions of cells. Therefore, it is not surprising that network-based community detection methods (one of the better clustering…

统计方法学 · 统计学 2026-02-17 Chetkar Jha , Mingyao Li , Ian Barnett

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

The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physics and computer science literature. Recently this area has…

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

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

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

机器学习 · 统计学 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

The methodology of community detection can be divided into two principles: imposing a network model on a given graph, or optimizing a designed objective function. The former provides guarantees on theoretical detectability but falls short…

机器学习 · 统计学 2017-10-06 Pin-Yu Chen , Lingfei Wu