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Stochastic analysis of schema distribution in a multiplicative landscape

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Abstract

In this study, we investigated the influence of genetic drift on the performance of a genetic algorithm on the multiplicative landscape. We performed a theoretical investigation of the frequencies of the first-order schemata, and calculated their changes in time by using the Wright–Fisher model. We showed that this mathematical theory reasonably predicts various quantities, including the ultimate distribution of the first-order schemata.

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Authors and Affiliations

  1. University of Miyazaki, Gakuen-Kibanadai-Nishi-1-1, Miyazaki, 899-2192, Japan

    Hiroshi Furutani, Susumu Katayama & Makoto Sakamoto

  2. Ube National College of Technology, Ube, Japan

    Takao Ito

Authors
  1. Hiroshi Furutani
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  2. Susumu Katayama
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  3. Makoto Sakamoto
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  4. Takao Ito
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Corresponding author

Correspondence to Hiroshi Furutani.

Additional information

This work was presented in part at the 11th International Symposium on Artificial Life and Robotics, Oita, Japan, January 23–25, 2006

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Furutani, H., Katayama, S., Sakamoto, M. et al. Stochastic analysis of schema distribution in a multiplicative landscape. Artif Life Robotics 11, 101–104 (2007). https://doi.org/10.1007/s10015-006-0409-5

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  • DOI: https://doi.org/10.1007/s10015-006-0409-5

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