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Fast Fourier Transform for Fitness Landscapes

Author

Listed:
  • Dan Rockmore
  • Peter Kostelec
  • Wim Hordijk
  • Peter F. Stadler

Abstract

We cast some classes of fitness landscapes as problems in spectral analysis on various Cayley graphs. In particular, landscapes derived from RNA folding are realized on Hamming graphs and analyzed in terms of Walsh transforms; assignment problems are interpreted as functions on the symmetric group and analyzed in terms of the representation theory of Sn. We show that explicit computations of the Walsh/Fourier transforms are feasible for landscapes with up to 108 configurations using Fast Fourier Transform techniques.

Suggested Citation

  • Dan Rockmore & Peter Kostelec & Wim Hordijk & Peter F. Stadler, 1999. "Fast Fourier Transform for Fitness Landscapes," Working Papers 99-10-068, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:99-10-068
    as

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    References listed on IDEAS

    as
    1. Wim Hordijk, 1997. "Correlation Analysis of the Synchronizing-CA Landscape," Working Papers 97-01-005, Santa Fe Institute.
    2. Wim Hordijk & Peter F. Stadler, 1998. "Amplitude Spectra of Fitness Landscapes," Working Papers 98-02-021, Santa Fe Institute.
    3. 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.
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    More about this item

    Keywords

    Spectral analysis; Fast Fourier transform; Walsh functions; Cayley graphs; fitness landscapes; assignment problems; RNA folding.;
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