Method for the identification of explicit polynomial formulae for the friction in turbulent pipe flow
Created by W.Langdon from
gp-bibliography.bib Revision:1.8098
- @Article{davidson:1999:miepfftpf,
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author = "J. W. Davidson and D. A. Savic and G. A. Walters",
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title = "Method for the identification of explicit polynomial
formulae for the friction in turbulent pipe flow",
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journal = "Journal of Hydroinformatics",
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year = "1999",
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volume = "1",
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number = "2",
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pages = "115--126",
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month = oct,
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keywords = "genetic algorithms, genetic programming, least
squares, polynomial expressions, symbolic algebra,
symbolic regression",
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ISSN = "1464-7141",
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URL = "http://www.iwaponline.com/jh/001/0115/0010115.pdf",
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DOI = "doi:10.2166/hydro.1999.0010",
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size = "12 pages",
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abstract = "The paper describes a new regression method for
creating polynomial models. The method combines
numerical and symbolic regression. Genetic programming
finds the form of polynomial expressions, and least
squares optimisation finds the values for the constants
in the expressions. The incorporation of least squares
optimization within symbolic regression is made
possible by a rule-based component that algebraically
transforms expressions to equivalent forms that are
suitable for least squares optimisation. The paper
describes new operators of crossover and mutation that
improve performance, and a new method for creating
starting solutions that avoids the problem of
under-determined functions. An example application
demonstrates the trade-off between model complexity and
accuracy of a set of approximator functions created for
the Colebrook-White formula.",
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notes = "Improving on Ephemeral random constants",
- }
Genetic Programming entries for
J W Davidson
Dragan Savic
Godfrey A Walters
Citations