An empirical study of functional complexity as an indicator of overfitting in Genetic Programming

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@InProceedings{trujillo:2011:EuroGP,
  author =       "Leonardo Trujillo and Sara Silva and 
                 Pierrick Legrand and Leonardo Vanneschi",
  title =        "An empirical study of functional complexity as an
                 indicator of overfitting in Genetic Programming",
  booktitle =    "Proceedings of the 14th European Conference on Genetic
                 Programming, EuroGP 2011",
  year =         "2011",
  month =        "27-29 " # apr,
  editor =       "Sara Silva and James A. Foster and Miguel Nicolau and 
                 Mario Giacobini and Penousal Machado",
  series =       "LNCS",
  volume =       "6621",
  publisher =    "Springer Verlag",
  address =      "Turin, Italy",
  pages =        "262--273",
  organisation = "EvoStar",
  keywords =     "genetic algorithms, genetic programming: poster",
  isbn13 =       "978-3-642-20406-7",
  DOI =          "doi:10.1007/978-3-642-20407-4_23",
  abstract =     "Recently, it has been stated that the complexity of a
                 solution is a good indicator of the amount of
                 overfitting it incurs. However, measuring the
                 complexity of a program, in Genetic Programming, is not
                 a trivial task. In this paper, we study the functional
                 complexity and how it relates with overfitting on
                 symbolic regression problems. We consider two measures
                 of complexity, Slope-based Functional Complexity,
                 inspired by the concept of curvature, and
                 Regularity-based Functional Complexity based on the
                 concept of Holderian regularity. In general, both
                 complexity measures appear to be poor indicators of
                 program overfitting. However, results suggest that
                 Regularity-based Functional Complexity could provide a
                 good indication of overfitting in extreme cases.",
  notes =        "Part of \cite{Silva:2011:GP} EuroGP'2011 held in
                 conjunction with EvoCOP2011 EvoBIO2011 and
                 EvoApplications2011",
}

Genetic Programming entries for Leonardo Trujillo Sara Silva Pierrick Legrand Leonardo Vanneschi

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