• DocumentCode
    756068
  • Title

    Asymptotic Geometry of Multiple Hypothesis Testing

  • Author

    Westover, M. Brandon

  • Author_Institution
    Dept. of Neurology, Massachusetts Gen. Hosp., Boston, MA
  • Volume
    54
  • Issue
    7
  • fYear
    2008
  • fDate
    7/1/2008 12:00:00 AM
  • Firstpage
    3327
  • Lastpage
    3329
  • Abstract
    We present a simple geometrical interpretation for the solution to the multiple hypothesis testing problem in the asymptotic limit. Under this interpretation, the optimal decision rule is a nearest neighbor classifier on the probability simplex.
  • Keywords
    error statistics; pattern recognition; probability; asymptotic limit; geometrical interpretation; multiple hypothesis testing; nearest neighbor classifier; optimal decision rule; probability simplex; Error probability; Histograms; Hospitals; Information geometry; Nearest neighbor searches; Nervous system; Pattern recognition; Probability distribution; Statistical learning; Testing; Geometry; hypothesis testing; large deviations; pattern recognition;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.924656
  • Filename
    4544997