Mathematics awaits: commentary on ''Genetic Programming and Emergence'' by Wolfgang Banzhaf

Created by W.Langdon from gp-bibliography.bib Revision:1.4524

  author =       "Lee Altenberg",
  title =        "Mathematics awaits: commentary on ''Genetic
                 Programming and Emergence'' by Wolfgang Banzhaf",
  journal =      "Genetic Programming and Evolvable Machines",
  year =         "2014",
  volume =       "15",
  number =       "1",
  pages =        "87--89",
  month =        mar,
  keywords =     "genetic algorithms, genetic programming, Evolvability,
                 Robustness, Subtree exchange, Mathematics, Matrix
                 theory, Lagrange distribution",
  ISSN =         "1389-2576",
  DOI =          "doi:10.1007/s10710-013-9198-5",
  size =         "3 pages",
  abstract =     "Banzhaf provides a portal to the subject of emergence,
                 noting contentious concepts while not getting sucked
                 into fruitless debate. Banzhaf refutes arguments
                 against downward causation much as Samuel Johnson kicks
                 a stone to refute Berkeley by pointing to concrete
                 examples in genetic programming, such as the growth of
                 repetitive patterns within programs. Repetitive
                 patterns are theoretically predicted to emerge from the
                 evolution of evolvability and robustness under subtree
                 exchange. Selection and genetic operators are co-equal
                 creators of these emergent phenomena. GP systems
                 entirely formal, and thus their emergent phenomena are
                 essentially mathematical. The emergence of Lagrangian
                 distributions for tree shapes under subtree exchange,
                 for example, gives a glimpse of the possibilities for
                 mathematical understanding of emergence in GP. The
                 mathematics underlying emergence in genetic programming
                 should be pursued with vigour.",
  notes =        "\cite{Banzhaf:2014:GPEM}",

Genetic Programming entries for Lee Altenberg