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Amplitude Spectra of Fitness Landscapes

Author

Listed:
  • Wim Hordijk

    (Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA)

  • Peter F. Stadler

    (Santa Fe Institute, Institut für Theoretische Chemie, Universität Wien, Währingerstraße 17, A-1090 Wien, Austria)

Abstract

Fitness landscapes can be decomposed into elementary landscapes using a Fourier transform that is determined by the structure of the underlying configuration space. The amplitude spectrum obtained from the Fourier transform contains information about the ruggedness of the landscape. It can be used for classification and comparison purposes. We consider here three very different types of landscapes using both mutation and recombination to define the topological structure of the configuration spaces. A reliable procedure for estimating the amplitude spectra is presented. The method is based on certain correlation functions that are easily obtained from empirical studies of the landscapes.

Suggested Citation

  • Wim Hordijk & Peter F. Stadler, 1998. "Amplitude Spectra of Fitness Landscapes," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 39-66.
    • Handle: RePEc:wsi:acsxxx:v:01:y:1998:i:01:n:s0219525998000041
    DOI: 10.1142/S0219525998000041
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    Citations

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    Cited by:

    1. Dan Rockmore & Peter Kostelec & Wim Hordijk & Peter F. Stadler, 1999. "Fast Fourier Transform for Fitness Landscapes," Working Papers 99-10-068, Santa Fe Institute.
    2. Sancho Salcedo‐Sanz & Mario DePrado‐Cumplido & María Jesús Segovia‐Vargas & Fernando Pérez‐Cruz & Carlos Bousoño‐Calzón, 2004. "Feature selection methods involving support vector machines for prediction of insolvency in non‐life insurance companies," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 12(4), pages 261-281, October.
    3. Koutras, M. V. & Tsitmidelis, S. & Zissimopoulos, V., 2003. "Evaluation of reliability bounds by set covering models," Statistics & Probability Letters, Elsevier, vol. 61(2), pages 163-175, January.

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