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Evolution of One-Dimensional Cellular Automata by 1/f Noise

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Advances in Artificial Life (ECAL 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4648))

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Abstract

It is speculated that there is a relationship between 1/f noise and computational universality in cellular automata. We use genetic algorithms to search for one-dimensional and two-state, five-neighbor cellular automata which have 1/f-type spectrum. A power spectrum is calculated from the evolution starting from a random initial configuration. The fitness is estimated from the power spectrum in consideration of the similarity to 1/f-type spectrum. The result shows that the rule with the highest average fitness has a propagating structure like other computationally universal cellular automata, although computational universality of the rule has not been proved yet.

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Authors and Affiliations

  1. Division of Information and Computer Science, Kanazawa Institute of Technology, Ohgigaoka, Nonoichi, Ishikawa 921-8501, Japan

    Shigeru Ninagawa

Authors
  1. Shigeru Ninagawa
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Editor information

Fernando Almeida e Costa Luis Mateus Rocha Ernesto Costa Inman Harvey António Coutinho

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© 2007 Springer-Verlag Berlin Heidelberg

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Ninagawa, S. (2007). Evolution of One-Dimensional Cellular Automata by 1/f Noise. In: Almeida e Costa, F., Rocha, L.M., Costa, E., Harvey, I., Coutinho, A. (eds) Advances in Artificial Life. ECAL 2007. Lecture Notes in Computer Science(), vol 4648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74913-4_91

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  • DOI: https://doi.org/10.1007/978-3-540-74913-4_91

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74912-7

  • Online ISBN: 978-3-540-74913-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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