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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
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    Keywords

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

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