A review on spectral clustering and stochastic block models

被引:7
|
作者
Baek, Mina [1 ]
Kim, Choongrak [1 ]
机构
[1] Pusan Natl Univ, Busan, South Korea
基金
新加坡国家研究基金会;
关键词
Dimension reduction; Manifold; Random graph; Regularization; Spectral embedding; NUMBER; REGULARIZATION; SELECTION;
D O I
10.1007/s42952-021-00112-w
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Clustering is an important statistical tool for the analysis of unsupervised data. Spectral clustering and stochastic block models, based on networks and graphs, are well established and widely used for community detection among many clustering algorithms. In this paper we review and discuss important statistical issues in spectral clustering and stochastic block models.
引用
收藏
页码:818 / 831
页数:14
相关论文
共 50 条
  • [1] A review on spectral clustering and stochastic block models
    Mina Baek
    Choongrak Kim
    [J]. Journal of the Korean Statistical Society, 2021, 50 : 818 - 831
  • [2] CONSISTENCY OF SPECTRAL CLUSTERING IN STOCHASTIC BLOCK MODELS
    Lei, Jing
    Rinaldo, Alessandro
    [J]. ANNALS OF STATISTICS, 2015, 43 (01): : 215 - 237
  • [3] Fundamental Limits of Spectral Clustering in Stochastic Block Models
    Zhang, Anderson Ye
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, 70 (10) : 7320 - 7348
  • [4] Strong Consistency of Spectral Clustering for Stochastic Block Models
    Su, Liangjun
    Wang, Wuyi
    Zhang, Yichong
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (01) : 324 - 338
  • [5] A review of stochastic block models and extensions for graph clustering
    Clement Lee
    Darren J. Wilkinson
    [J]. Applied Network Science, 4
  • [6] A review of stochastic block models and extensions for graph clustering
    Lee, Clement
    Wilkinson, Darren J.
    [J]. APPLIED NETWORK SCIENCE, 2019, 4 (01)
  • [7] Randomized Spectral Clustering in Large-Scale Stochastic Block Models
    Zhang, Hai
    Guo, Xiao
    Chang, Xiangyu
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2022, 31 (03) : 887 - 906
  • [8] Higher-Order Spectral Clustering Under Superimposed Stochastic Block Models
    Paul, Subhadeep
    Milenkovic, Olgica
    Chen, Yuguo
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2023, 24
  • [9] Subsampling spectral clustering for stochastic block models in large-scale networks
    Deng, Jiayi
    Huang, Danyang
    Ding, Yi
    Zhu, Yingqiu
    Jing, Bingyi
    Zhang, Bo
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2024, 189
  • [10] Spectral clustering in the dynamic stochastic block model
    Pensky, Marianna
    Zhang, Teng
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2019, 13 (01): : 678 - 709