Genetic Programming of Polynomial Harmonic Networks using the Discrete Fourier Transform

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  author =       "Nikolay Y. Nikolaev and Hitoshi Iba",
  title =        "Genetic Programming of Polynomial Harmonic Networks
                 using the Discrete Fourier Transform",
  journal =      "International Journal of Neural Systems",
  year =         "2002",
  volume =       "12",
  number =       "5",
  pages =        "399--410",
  keywords =     "genetic algorithms, genetic programming, Polynomial
                 neural networks, polynomial harmonic networks,
                 time-series prediction",
  DOI =          "doi:10.1142/S0129065702001242",
  abstract =     "This paper presents a genetic programming system that
                 evolves polynomial harmonic networks. These are
                 multilayer feed-forward neural networks with polynomial
                 activation functions. The novel hybrids assume that
                 harmonics with non-multiple frequencies may enter as
                 inputs the activation polynomials. The harmonics with
                 non-multiple, irregular frequencies are derived
                 analytically using the discrete Fourier transform. The
                 polynomial harmonic networks have tree-structured
                 topology which makes them especially suitable for
                 evolutionary structural search. Empirical results show
                 that this hybrid genetic programming system outperforms
                 an evolutionary system manipulating polynomials, the
                 traditional Koza-style genetic programming, and the
                 harmonic GMDH network algorithm on processing time
  notes =        "IJNS

                 Dept. of Math. and Computing Sciences, Goldsmiths
                 College, University of London, New Cross, London SE14
                 6NW, United Kingdom

                 Dept. of Inf. and Comm. Engineering, School of
                 Engineering, The University of Tokyo, 7-3-1 Hongo,
                 Bunkyo-ku, Tokyo 113-8656, Japan",

Genetic Programming entries for Nikolay Nikolaev Hitoshi Iba