A Genetic Programming Approach to Solomonoff's Probabilistic Induction

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@InProceedings{eurogp06:DeFalcoDellaCioppaMaistoTarantino,
  author =       "Ivanoe {De Falco} and Antonio {Della Cioppa} and 
                 Domenico Maisto and Ernesto Tarantino",
  title =        "A Genetic Programming Approach to {Solomonoff's}
                 Probabilistic Induction",
  editor =       "Pierre Collet and Marco Tomassini and Marc Ebner and 
                 Steven Gustafson and Anik\'o Ek\'art",
  booktitle =    "Proceedings of the 9th European Conference on Genetic
                 Programming",
  publisher =    "Springer",
  series =       "Lecture Notes in Computer Science",
  volume =       "3905",
  year =         "2006",
  address =      "Budapest, Hungary",
  month =        "10 - 12 " # apr,
  organisation = "EvoNet",
  keywords =     "genetic algorithms, genetic programming",
  ISBN =         "3-540-33143-3",
  pages =        "24--35",
  DOI =          "doi:10.1007/11729976_3",
  bibsource =    "DBLP, http://dblp.uni-trier.de",
  abstract =     "In the context of Solomonoff's Inductive Inference
                 theory, Induction operator plays a key role in
                 modelling and correctly predicting the behaviour of a
                 given phenomenon. Unfortunately, this operator is not
                 algorithmically computable. The present paper deals
                 with a Genetic Programming approach to Inductive
                 Inference, with reference to Solomonoff's algorithmic
                 probability theory, that consists in evolving a
                 population of mathematical expressions looking for the
                 `optimal' one that generates a collection of data and
                 has a maximal a priori probability. Validation is
                 performed on Coulomb's Law, on the Henon series and on
                 the Arosa Ozone time series. The results show that the
                 method is effective in obtaining the analytical
                 expression of the first two problems, and in achieving
                 a very good approximation and forecasting of the
                 third.",
  notes =        "Part of \cite{collet:2006:GP} EuroGP'2006 held in
                 conjunction with EvoCOP2006 and EvoWorkshops2006",
}

Genetic Programming entries for Ivanoe De Falco Antonio Della Cioppa Domenico Maisto Ernesto Tarantino

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