Codeword distribution for frequency sensitive competitive learning with one-dimensional input data

  • Authors:
  • A. S. Galanopoulos;S. C. Ahalt

  • Affiliations:
  • Dept. of Electr. Eng., Ohio State Univ., Columbus, OH;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1996

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Abstract

We study the codeword distribution for a conscience-type competitive learning algorithm, frequency sensitive competitive learning (FSCL), using one-dimensional input data. We prove that the asymptotic codeword density in the limit of large number of codewords is given by a power law of the form Q(x)=C·P(x)α, where P(x) is the input data density and α depends on the algorithm and the form of the distortion measure to be minimized. We further show that the algorithm can be adjusted to minimize any Lp distortion measure with p ranging in (0,2]