Fourier Analysis of Genetic Algorithms

نویسندگان

  • Walter A. Kosters
  • Joost N. Kok
  • Patrik Floréen
چکیده

We propose a general framework for Fourier analysis in the eld of genetic algorithms. We introduce special functions, analogous to sine and cosine for real numbers, that have nice properties with respect to genetic operations such as mutation and crossover. The special functions we introduce are generalizations of bit products and Walsh products. As applications, we trace (both analytically and numerically) the behavior of genetic algorithms, and obtain results on the tness of schemata. c © 1999 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 229  شماره 

صفحات  -

تاریخ انتشار 1999