Self modifying cartesian genetic programming: finding algorithms that calculate pi and e to arbitrary precision
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- @InProceedings{Harding:2010:gecco,
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author = "Simon Harding and Julian F. Miller and
Wolfgang Banzhaf",
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title = "Self modifying cartesian genetic programming: finding
algorithms that calculate pi and e to arbitrary
precision",
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booktitle = "GECCO '10: Proceedings of the 12th annual conference
on Genetic and evolutionary computation",
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year = "2010",
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editor = "Juergen Branke and Martin Pelikan and Enrique Alba and
Dirk V. Arnold and Josh Bongard and
Anthony Brabazon and Juergen Branke and Martin V. Butz and
Jeff Clune and Myra Cohen and Kalyanmoy Deb and
Andries P Engelbrecht and Natalio Krasnogor and
Julian F. Miller and Michael O'Neill and Kumara Sastry and
Dirk Thierens and Jano {van Hemert} and Leonardo Vanneschi and
Carsten Witt",
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isbn13 = "978-1-4503-0072-8",
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pages = "579--586",
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keywords = "genetic algorithms, genetic programming, cartesian
genetic programming, Generative and developmental
systems",
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month = "7-11 " # jul,
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organisation = "SIGEVO",
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address = "Portland, Oregon, USA",
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URL = "http://www.cs.mun.ca/~banzhaf/papers/GECCO2010p579.pdf",
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DOI = "doi:10.1145/1830483.1830591",
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publisher = "ACM",
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publisher_address = "New York, NY, USA",
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size = "8 pages",
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abstract = "Self Modifying Cartesian Genetic Programming (SMCGP)
aims to be a general purpose form of developmental
genetic programming. The evolved programs are iterated
thus allowing an infinite sequence of phenotypes
(programs) to be obtained from a single evolved
genotype. In previous work this approach has already
shown that it is possible to obtain mathematically
provable general solutions to certain problems. We
extend this class in this paper by showing how SMCGP
can be used to find algorithms that converge to
mathematical constants (pi and e). Mathematical proofs
are given that show that some evolved formulae converge
to pi and e in the limit as the number of iterations
increase.",
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notes = "Also known as \cite{1830591} GECCO-2010 A joint
meeting of the nineteenth international conference on
genetic algorithms (ICGA-2010) and the fifteenth annual
genetic programming conference (GP-2010)",
- }
Genetic Programming entries for
Simon Harding
Julian F Miller
Wolfgang Banzhaf
Citations