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作者:

Han, Min (Han, Min.) | Chen, Di Rong (Chen, Di Rong.) | Sun, Zhao Xu (Sun, Zhao Xu.)

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摘要:

Neyman-Pearson(NP) criterion is one of the most important ways in hypothesis testing. It is also a criterion for classification. This paper addresses the problem of bounding the estimation error of NP classification, in terms of Rademacher averages. We investigate the behavior of the global and local Rademacher averages, and present new NP classification error bounds which are based on the localized averages, and indicate how the estimation error can be estimated without a priori knowledge of the class at hand.

关键词:

Neyman-Pearson lemma VC classes Rademacher complexity Neyman-Pearson classification

作者机构:

  • [ 1 ] [Chen, Di Rong]Beijing Univ Aeronaut & Astronaut, Dept Math, Beijing 100083, Peoples R China
  • [ 2 ] [Han, Min]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Chen, Di Rong]Beijing Univ Aeronaut & Astronaut, LMIB, Beijing 100083, Peoples R China
  • [ 4 ] [Sun, Zhao Xu]Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China

通讯作者信息:

  • [Chen, Di Rong]Beijing Univ Aeronaut & Astronaut, Dept Math, Beijing 100083, Peoples R China

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来源 :

ACTA MATHEMATICA SINICA-ENGLISH SERIES

ISSN: 1439-8516

年份: 2009

期: 5

卷: 25

页码: 855-868

0 . 7 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:3

中科院分区:1

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