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文章基本信息

  • 标题:Smallest Enclosing Spheres and Chernoff Points in BregmanGeometry
  • 作者:Herbert Edelsbrunner ; Ziga Virk ; Hubert Wagner
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:99
  • 页码:35:1-35:13
  • DOI:10.4230/LIPIcs.SoCG.2018.35
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Smallest enclosing spheres of finite point sets are central to methods in topological data analysis. Focusing on Bregman divergences to measure dissimilarity, we prove bounds on the location of the center of a smallest enclosing sphere. These bounds depend on the range of radii for which Bregman balls are convex.
  • 关键词:Bregman divergence; smallest enclosing spheres; Chernoff points; convexity; barycenter polytopes
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