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Finding optimal representations using the crossover correlation coefficient

  • Genetic Algorithms
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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1159))

Abstract

In order to apply genetic algorithms (GAs) successfully to a given problem one has to find a good representation for potential solutions to that problem. Roughly speaking a good representation is one where building blocks for the problem's solution are relatively insensitive to crossover disruption, i.e., the building blocks have short defining lengths. However, such a representation is difficult to find if heuristic or background knowledge about the problem is lacking.

In this paper, it is shown how the GA itself can be used to first search for a good representation for a given problem and subsequently solves that problem using the found representation. The main question we have to address is how a representation can be evaluated without solving the problem first. The hypothesis put forward is that a good representation is one for which crossover shows a high correlation between the fitnesses of parents and their offspring.

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Díbio L. Borges Celso A. A. Kaestner

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© 1996 Springer-Verlag Berlin Heidelberg

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Spiessens, P., Manderick, B. (1996). Finding optimal representations using the crossover correlation coefficient. In: Borges, D.L., Kaestner, C.A.A. (eds) Advances in Artificial Intelligence. SBIA 1996. Lecture Notes in Computer Science, vol 1159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61859-7_10

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  • DOI: https://doi.org/10.1007/3-540-61859-7_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61859-1

  • Online ISBN: 978-3-540-70742-4

  • eBook Packages: Springer Book Archive

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