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Equivalence Class Analysis Of Genetic Algorithms (1991)

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by Nicholas J. Radcliffe
Venue:COMPLEX SYSTEMS
Citations:111 - 9 self
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BibTeX

@MISC{Radcliffe91equivalenceclass,
    author = {Nicholas J. Radcliffe},
    title = {Equivalence Class Analysis Of Genetic Algorithms},
    year = {1991}
}

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Abstract

The conventional understanding of genetic algorithms depends upon analysis by schemata and the notion of intrinsic parallelism. For this reason, only k-ary string representations have had any formal basis and non-standard representations and operators have been regarded largely as heuristics, rather than principled algorithms. This paper extends the analysis to general representations through identification of schemata as equivalence classes induced by implicit equivalence relations over the space of chromosomes.

Keyphrases

genetic algorithm    equivalence class analysis    intrinsic parallelism    implicit equivalence relation    formal basis    equivalence class    non-standard representation    k-ary string representation    general representation    conventional understanding   

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