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Pattern Recognition Of One-Dimensional Cellular Automata Using Markov Chains

Author

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  • JUAN R. SANCHEZ

    (Departamento de Física, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Av. J. B. Justo 4302, 7600 Mar del Plata, Argentina)

Abstract

A technique is presented for the identification of rule that generates a given complex pattern of linear one-dimensional cellular automata (LCA). The technique is based on the construction of a Markov transition matrix for the Markov chains that correspond to the evolution of the automaton. Such chain is generated by the evolution of a sequence of symbols representing the value of a string composed by small portion of the sites of the automaton. Excellent results are obtained for the identification of the rules that generate different complex patterns.

Suggested Citation

  • Juan R. Sanchez, 2004. "Pattern Recognition Of One-Dimensional Cellular Automata Using Markov Chains," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 563-567.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:04:n:s0129183104006029
    DOI: 10.1142/S0129183104006029
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