• DocumentCode
    1123675
  • Title

    A geometric algorithm finding set of linear decision boundaries

  • Author

    Takada, Yoshihiro ; Zhuang, Xinhua ; Wakita, Hisashi J.

  • Author_Institution
    Dept. of Inf. & Comput. Sci., Osaka Univ., Japan
  • Volume
    42
  • Issue
    7
  • fYear
    1994
  • fDate
    7/1/1994 12:00:00 AM
  • Firstpage
    1887
  • Lastpage
    1891
  • Abstract
    Proposes a geometric algorithm for finding all linear decision boundaries each of which correctly separates two nonoverlapping classes of pattern vectors. When the given T patterns are linearly separable, the algorithm terminates in T iterations, even though the computational time for each iteration tends to increase. When the given T patterns are linearly inseparable, the algorithm is able to detect it in at most T iterations
  • Keywords
    computational complexity; computational geometry; iterative methods; optimisation; pattern recognition; computational time; geometric algorithm finding set; iterations; linear decision boundaries; nonoverlapping classes of pattern vectors; Array signal processing; Associative memory; Computer networks; Distributed processing; Information processing; Neural networks; Physics computing; Signal processing; Signal processing algorithms; Vectors;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.298309
  • Filename
    298309