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  • 标题:Cellular tree classifiers
  • 本地全文:下载
  • 作者:Gérard Biau ; Luc Devroye
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2013
  • 卷号:7
  • 页码:1875-1912
  • DOI:10.1214/13-EJS829
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:The cellular tree classifier model addresses a fundamental problem in the design of classifiers for a parallel or distributed computing world: Given a data set, is it sufficient to apply a majority rule for classification, or shall one split the data into two or more parts and send each part to a potentially different computer (or cell) for further processing? At first sight, it seems impossible to define with this paradigm a consistent classifier as no cell knows the “original data size”, $n$. However, we show that this is not so by exhibiting two different consistent classifiers. The consistency is universal but is only shown for distributions with nonatomic marginals.
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