• DocumentCode
    1441268
  • Title

    Holder functions and deception of genetic algorithms

  • Author

    Lutton, Evelyne ; Vehel, Jacques Levy

  • Author_Institution
    Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
  • Volume
    2
  • Issue
    2
  • fYear
    1998
  • fDate
    7/1/1998 12:00:00 AM
  • Firstpage
    56
  • Lastpage
    71
  • Abstract
    We present a deception analysis for Holder functions. Our approach uses a decomposition on the Haar basis, which reflects in a natural way the Holder structure of the function. This allows the relation of the deception, the Holder exponent, and some parameters of the genetic algorithms (GAs). These results prove that deception is connected to the irregularity of the fitness function and shed a new light on the schema theory. In addition, this analysis may assist in understanding the influence of some of the parameters on the performance of a GA
  • Keywords
    genetic algorithms; GA; Haar decomposition; Holder functions; deception analysis; fitness function irregularity; genetic algorithms; Algorithm design and analysis; Convergence; Evolution (biology); Fractals; Genetic algorithms; Image analysis; Inverse problems; Optimization methods; Performance analysis; Stochastic processes;
  • fLanguage
    English
  • Journal_Title
    Evolutionary Computation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1089-778X
  • Type

    jour

  • DOI
    10.1109/4235.728208
  • Filename
    728208