Minimum entropy, k-means, spectral clustering

被引:6
|
作者
Lee, Y [1 ]
Choi, S [1 ]
机构
[1] ETRI, Biometr Technol Res Team, Taejon 305350, South Korea
关键词
D O I
10.1109/IJCNN.2004.1379882
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper addresses an information-theoretic aspect of k-means and spectral clustering. First, we revisit the k-means clustering and show that its objective function is approximately derived from the minimum entropy principle when the Renyi's quadratic entropy is used. Then we present " maximum within-clustering association that is derived using " quadratic distance measure in the framework of minimum entropy principle, which is very similar to a class of spectral clustering algorithms that is based on the eigen-decomposition method.
引用
收藏
页码:117 / 122
页数:6
相关论文
共 50 条
  • [1] Spectral relaxation for K-means clustering
    Zha, HY
    He, XF
    Ding, C
    Simon, H
    Gu, M
    [J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 14, VOLS 1 AND 2, 2002, 14 : 1057 - 1064
  • [2] Entropy Weighted Power k-Means Clustering
    Chakraborty, Saptarshi
    Paul, Debolina
    Das, Swagatam
    Xu, Jason
    [J]. INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 108, 2020, 108 : 691 - 700
  • [3] Rough Entropy Based k-Means Clustering
    Malyszko, Dariusz
    Stepaniuk, Jaroslaw
    [J]. ROUGH SETS, FUZZY SETS, DATA MINING AND GRANULAR COMPUTING, PROCEEDINGS, 2009, 5908 : 406 - 413
  • [4] K-means clustering using entropy minimization
    Okafor, A
    Pardalos, PM
    [J]. THEORY AND ALGORITHMS FOR COOPERATIVE SYSTEMS, 2004, 4 : 339 - 351
  • [5] Entropy Based Soft K-means Clustering
    Bai, Xue
    Luo, Siwei
    Zhao, Yibiao
    [J]. 2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2008, : 107 - 110
  • [6] K-means clustering algorithm using the entropy
    Palubinskas, G
    [J]. IMAGE AND SIGNAL PROCESSING FOR REMOTE SENSING IV, 1998, 3500 : 63 - 71
  • [7] Spectral Comparison Using k-Means Clustering
    Ramachandran, Vignesh R.
    Mitchell, Herbert J.
    Jacobs, Samantha K.
    Tzeng, Nigel H.
    Firpi, Alexer H.
    Rodriguez, Benjamin M.
    [J]. 2014 IEEE AEROSPACE CONFERENCE, 2014,
  • [8] Clustering with Spectral Norm and the k-means Algorithm
    Kumar, Amit
    Kannan, Ravindran
    [J]. 2010 IEEE 51ST ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, 2010, : 299 - 308
  • [9] Nonnegative Lagrangian relaxation of K-means and spectral clustering
    Ding, C
    He, XF
    Simon, HD
    [J]. MACHINE LEARNING: ECML 2005, PROCEEDINGS, 2005, 3720 : 530 - 538
  • [10] Algorithm for the k-means clustering based on minimum cluster size
    Wang, Shou-Qiang
    Zhu, Da-Ming
    [J]. Tongxin Xuebao/Journal on Communications, 2010, 31 (07): : 46 - 52