Evolvable Warps for Data Normalization
Created by W.Langdon from
gp-bibliography.bib Revision:1.8120
- @InProceedings{Gilbert:2016:CEC,
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author = "Jeremy Gilbert and Daniel Ashlock",
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title = "Evolvable Warps for Data Normalization",
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booktitle = "Proceedings of 2016 IEEE Congress on Evolutionary
Computation (CEC 2016)",
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year = "2016",
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editor = "Yew-Soon Ong",
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pages = "1562--1569",
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address = "Vancouver",
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month = "24-29 " # jul,
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publisher = "IEEE Press",
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keywords = "genetic algorithms, genetic programming",
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isbn13 = "978-1-5090-0623-6",
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DOI = "doi:10.1109/CEC.2016.7743975",
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size = "8 pages",
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abstract = "The traditional method of fitting an approximate
cumulative probability distribution to a data set is to
bin the data in narrow bins and obtain a step function
approximation. This technique suffices for many
applications, but the resulting object is not a
differentiable function making recovery of the
underlying probability distribution function
impossible. In this study, a unique group theoretic
representation is used to define evolvable data warps
that can be used to recover continuous, infinitely
differentiable versions of the inverse cumulative
distribution function. The use of a group theoretic
representation permits a simple calculation to
transform the evolved object into a cumulative
distribution function and, via differentiation, into a
probability distribution function. The group used to
define the evolvable data warps is the group of
bijections of the unit interval. The generators used by
evolution are chosen to be differentiable in order to
enable the computation of probability distribution
functions. Experiments are run using a simple type of
evolutionary algorithm to evolve approximate CDFs on
seven data sets. The first data set is used to perform
a parameter study on the representation length used to
evolve the approximate CDFs and comparing two
variations of the representation - one of which uses a
representational control called gene expression and one
of which does not.",
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notes = "WCCI2016",
- }
Genetic Programming entries for
Jeremy Gilbert
Daniel Ashlock
Citations