Genetic programming of the stochastic interpolation framework: convection-diffusion equation
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- @Article{Howard:2011:SC,
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title = "Genetic programming of the stochastic interpolation
framework: convection-diffusion equation",
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author = "Daniel Howard and Adrian Brezulianu and
Joseph Kolibal",
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journal = "Soft Computing",
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year = "2011",
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number = "1",
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volume = "15",
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pages = "71--78",
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month = jan,
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bibdate = "2011-02-19",
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bibsource = "DBLP,
http://dblp.uni-trier.de/db/journals/soco/soco15.html#HowardBK11",
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keywords = "genetic algorithms, genetic programming",
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ISSN = "1432-7643",
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URL = "https://rdcu.be/cAMsI",
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URL = "http://link.springer.com/article/10.1007%2Fs00500-009-0520-3",
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DOI = "doi:10.1007/s00500-009-0520-3",
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size = "8 pages",
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abstract = "The stochastic interpolation (SI) framework of
function recovery from input data comprises a
de-convolution step followed by a convolution step with
row stochastic matrices generated by a mollifier, such
as a probability density function. The choice of a
mollifier and of how it gets weighted, offers
unprecedented flexibility to vary both the
interpolation character and the extent of influence of
neighbouring data values. In this respect, a soft
computing method such as a genetic algorithm or
heuristic method may assist applications that model
complex or unknown relationships between data by tuning
the parameters, functional and component choices
inherent in SI. Alternatively or additionally, the
input data itself can be reverse engineered to recover
a function that satisfies properties, as illustrated in
this paper with a genetic programming scheme that
enables SI to recover the analytical solution to a
two-point boundary value convection-diffusion
differential equation. If further developed, this
nascent solution method could serve as an alternative
to the weighted residual methods, as these are known to
have inherent mathematical difficulties.",
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affiliation = "Howard Science Limited, 24 Sunrise, Malvern, WR142NJ
UK",
- }
Genetic Programming entries for
Daniel Howard
Adrian Brezulianu
Joseph Kolibal
Citations