Automated Discovery of Numerical Approximation Formulae via Genetic Programming

Created by W.Langdon from gp-bibliography.bib Revision:1.3872

@Article{streeter:2003:GPEM,
  author =       "Matthew Streeter and Lee A. Becker",
  title =        "Automated Discovery of Numerical Approximation
                 Formulae via Genetic Programming",
  journal =      "Genetic Programming and Evolvable Machines",
  year =         "2003",
  volume =       "4",
  number =       "3",
  pages =        "255--286",
  month =        sep,
  keywords =     "genetic algorithms, genetic programming,
                 approximations, symbolic regression, Pareto
                 optimality",
  ISSN =         "1389-2576",
  DOI =          "doi:10.1023/A:1025176407779",
  abstract =     "the use of genetic programming to perform automated
                 discovery of numerical approximation formulae. We
                 present results involving rediscovery of known
                 approximations for Harmonic numbers, discovery of
                 rational polynomial approximations for functions of one
                 or more variables, and refinement of existing
                 approximations through both approximation of their
                 error function and incorporation of the approximation
                 as a program tree in the initial GP population. Evolved
                 rational polynomial approximations are compared to Pade
                 approximations obtained through the Maple symbolic
                 mathematics package. We find that approximations
                 evolved by GP can be superior to Pade approximations
                 given certain tradeoffs between approximation cost and
                 accuracy, and that GP is able to evolve approximations
                 in circumstances where the Pade approximation technique
                 cannot be applied. We conclude that genetic programming
                 is a powerful and effective approach that complements
                 but does not replace existing techniques from numerical
                 analysis.",
  notes =        "Article ID: 5141124",
}

Genetic Programming entries for Matthew J Streeter Lee A Becker

Citations