Optimal Algorithmic Complexity of Fuzzy ART

  • Authors:
  • T. Burwick;F. Joublin

  • Affiliations:
  • Institut für Neuroinformatik, Ruhr-Universität Bochum, 44780 Bochum, Germany;Institut für Neuroinformatik, Ruhr-Universität Bochum, 44780 Bochum, Germany

  • Venue:
  • Neural Processing Letters
  • Year:
  • 1998

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Abstract

We discuss implementations of the Adaptive Resonance Theory (ART) on aserial machine. The standard formulation of ART, which was inspired byrecurrent brain structures, corresponds to a recursive algorithm. Thisinduces an algorithmic complexity of order O(N^2)+O(MN) inworst and average case, N being the number of categories, and M the inputdimension. It is possible, however, to formulate ART in a non-recursivealgorithm such that the complexity is of order O(MN) only.