Method for the identification of explicit polynomial formulae for the friction in turbulent pipe flow

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@Article{davidson:1999:miepfftpf,
  author =       "J. W. Davidson and D. A. Savic and G. A. Walters",
  title =        "Method for the identification of explicit polynomial
                 formulae for the friction in turbulent pipe flow",
  journal =      "Journal of Hydroinformatics",
  year =         "1999",
  volume =       "1",
  number =       "2",
  pages =        "115--126",
  keywords =     "genetic algorithms, genetic programming, least
                 squares, polynomial expressions, symbolic algebra,
                 symbolic regression",
  ISSN =         "1464-7141",
  URL =          "http://www.iwaponline.com/jh/001/0115/0010115.pdf",
  size =         "12 pages",
  abstract =     "The paper describes a new regression method for
                 creating polynomial models. The method combines
                 numerical and symbolic regression. Genetic programming
                 finds the form of polynomial expressions, and least
                 squares optimisation finds the values for the constants
                 in the expressions. The incorporation of least squares
                 optimization within symbolic regression is made
                 possible by a rule-based component that algebraically
                 transforms expressions to equivalent forms that are
                 suitable for least squares optimisation. The paper
                 describes new operators of crossover and mutation that
                 improve performance, and a new method for creating
                 starting solutions that avoids the problem of
                 under-determined functions. An example application
                 demonstrates the trade-off between model complexity and
                 accuracy of a set of approximator functions created for
                 the Colebrook-White formula.",
  notes =        "Improving on Ephemeral random constants",
}

Genetic Programming entries for J W Davidson Dragan Savic Godfrey A Walters

Citations