A symbolic data-driven technique based on evolutionary polynomial regression

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@Article{Giustolisi:2006:JH,
  author =       "Orazio Giustolisi and Dragan A. Savic",
  title =        "A symbolic data-driven technique based on evolutionary
                 polynomial regression",
  journal =      "Journal of Hydroinformatics",
  year =         "2006",
  volume =       "8",
  number =       "3",
  pages =        "207--222",
  keywords =     "genetic algorithms, genetic programming, EPR, Chezy
                 resistance coefficient, Colebrook-White formula,
                 data-driven modelling, evolutionary computing,
                 regression",
  ISSN =         "1464-7141",
  URL =          "http://www.iwaponline.com/jh/008/0207/0080207.pdf",
  size =         "16 pages",
  abstract =     "This paper describes a new hybrid regression method
                 that combines the best features of conventional
                 numerical regression techniques with the genetic
                 programming symbolic regression technique. The key idea
                 is to employ an evolutionary computing methodology to
                 search for a model of the system/process being modelled
                 and to employ parameter estimation to obtain constants
                 using least squares. The new technique, termed
                 Evolutionary Polynomial Regression (EPR) overcomes
                 shortcomings in the GP process, such as computational
                 performance; number of evolutionary parameters to tune
                 and complexity of the symbolic models. Similarly, it
                 alleviates issues arising from numerical regression,
                 including difficulties in using physical insight and
                 over-fitting problems. This paper demonstrates that EPR
                 is good, both in interpolating data and in scientific
                 knowledge discovery. As an illustration, EPR is used to
                 identify polynomial formulae with progressively
                 increasing levels of noise, to interpolate the
                 Colebrook-White formula for a pipe resistance
                 coefficient and to discover a formula for a resistance
                 coefficient from experimental data.",
}

Genetic Programming entries for Orazio Giustolisi Dragan Savic

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