Original Contribution: The N-N-N conjecture in ART1

  • Authors:
  • Michael Georgiopoulos;Gregory L. Heileman;Juxin Huang

  • Affiliations:
  • -;-;-

  • Venue:
  • Neural Networks
  • Year:
  • 1992

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper we consider the ART1 neural network architecture introduced by Carpenter and Grossberg. In their original paper, Carpenter and Grossberg made the following conjecture: In the fast learning case, if the F"2 layer in ART1 has at least N nodes, then each member of a list of N input patterns presented cyclically at the F"1 layer of ART1 will have direct access to an F"2 layer node after at most N list presentations. In this paper, we demonstrate that the conjecture is not valid for certain large L values, where L is a network parameter associated with the adaptation of the bottom-up traces in ART1. It is worth noting that previous work has shown the conjecture to be true for small L values.