TY - GEN
T1 - The N-N-N Conjecture in ART1
AU - Georgiopoulos, M.
AU - Heileman, G. L.
AU - Huang, J.
N1 - Funding Information:
This research was supported in part by a grant from the Florida High Technology and Industry Council, and in part by a grant from Sandia National Laboratories.
Publisher Copyright:
© 1992 Institute of Electrical and Electronics Engineers Inc.. All rights reserved.
PY - 1992
Y1 - 1992
N2 - 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 F2layer in ART1 has at least N nodes, then each member of a list of N input patterns presented cyclically at the F1layer of ART1 will have direct access to an F2layer 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.
AB - 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 F2layer in ART1 has at least N nodes, then each member of a list of N input patterns presented cyclically at the F1layer of ART1 will have direct access to an F2layer 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.
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U2 - 10.1109/IJCNN.1992.227282
DO - 10.1109/IJCNN.1992.227282
M3 - Conference contribution
AN - SCOPUS:85132293081
T3 - Proceedings of the International Joint Conference on Neural Networks
SP - 103
EP - 108
BT - Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 International Joint Conference on Neural Networks, IJCNN 1992
Y2 - 7 June 1992 through 11 June 1992
ER -