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  • 标题:Convergence and stability analysis of mean-shift algorithm on large data sets
  • 作者:Xiaogang Wang ; Weiliang Qiu ; Jianhong Wu
  • 期刊名称:Statistics and Its Interface
  • 印刷版ISSN:1938-7989
  • 电子版ISSN:1938-7997
  • 出版年度:2016
  • 卷号:9
  • 期号:2
  • 页码:159-170
  • DOI:10.4310/SII.2016.v9.n2.a4
  • 出版社:International Press
  • 摘要:We present theoretical convergent analysis of mean-shift type of clustering methods for large data sets. It is proved that correct convergence for unsupervised mean shift type of algorithms relies on its ability to successfully transform data points to be clustered into data patterns of a multivariate normal distribution. Our analytical stability analysis suggests that a judiciously chosen supervision mechanism might be essential for correct convergence in dynamical clustering. The proposed theoretical framework could be used to study other dynamical clustering methods.
  • 关键词:anti-diffusion; convergence; conservation law; dynamic clustering; entropy; partial differential equations
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