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Polynomial Approximation of Survival Probabilities Under Multi-point Crossover

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3102))

Abstract

We propose an analytic approach to approximate the survival probabilities of schemata under multi-point crossover and obtain its closed form. It gives a convenient way to mathematically analyze the disruptiveness of multi-point crossover. Based on the approximation, we describe a geometric property of the survival probability under multi-point crossover and show the relationship between the survival probability and the distribution of the specific symbols in schemata.

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© 2004 Springer-Verlag Berlin Heidelberg

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Choi, SS., Moon, BR. (2004). Polynomial Approximation of Survival Probabilities Under Multi-point Crossover. In: Deb, K. (eds) Genetic and Evolutionary Computation – GECCO 2004. GECCO 2004. Lecture Notes in Computer Science, vol 3102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24854-5_99

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  • DOI: https://doi.org/10.1007/978-3-540-24854-5_99

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22344-3

  • Online ISBN: 978-3-540-24854-5

  • eBook Packages: Springer Book Archive

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