Crossover Bias in Genetic Programming

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

@InProceedings{eurogp07:keijzer,
  author =       "Maarten Keijzer and James Foster",
  title =        "Crossover Bias in Genetic Programming",
  editor =       "Marc Ebner and Michael O'Neill and Anik\'o Ek\'art and 
                 Leonardo Vanneschi and Anna Isabel Esparcia-Alc\'azar",
  booktitle =    "Proceedings of the 10th European Conference on Genetic
                 Programming",
  publisher =    "Springer",
  series =       "Lecture Notes in Computer Science",
  volume =       "4445",
  year =         "2007",
  address =      "Valencia, Spain",
  month =        "11-13 " # apr,
  pages =        "33--43",
  keywords =     "genetic algorithms, genetic programming",
  ISBN =         "3-540-71602-5",
  isbn13 =       "978-3-540-71602-0",
  DOI =          "doi:10.1007/978-3-540-71605-1_4",
  abstract =     "Path length, or search complexity, is an under studied
                 phenomenon in genetic programming. Unlike size and
                 depth measures, path length directly measures the
                 balancedness or skewedness of a tree. Here a close
                 relative to path length, called visitation length, is
                 studied. It is shown that a population undergoing
                 standard crossover will introduce a crossover bias in
                 the visitation length. This bias is due to inserting
                 variable length subtrees at various levels of the tree.
                 The crossover bias takes the form of a covariance
                 between the sizes and levels in the trees that form a
                 population. It is conjectured that the crossover bias
                 directly determines the size distribution of trees in
                 genetic programming. Theorems are presented for the
                 one-generation evolution of visitation length both with
                 and without selection. The connection between path
                 length and visitation length is made explicit.",
  notes =        "Part of \cite{ebner:2007:GP} EuroGP'2007 held in
                 conjunction with EvoCOP2007, EvoBIO2007 and
                 EvoWorkshops2007",
}

Genetic Programming entries for Maarten Keijzer James A Foster

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