Title
A Dynamical Adaptive Resonance Architecture
Abstract
A set of nonlinear differential equations that describe the dynamics of the ART1 model are presented, along with the motivation for their use. These equations are extensions of those developed by Carpenter and Grossberg [1], It is shown how these differential equations allow the ART1 model to be realized as a collective nonlinear dynamical system. Specifically, we present an ART 1-based neural network model whose description requires no external control features. That is, the dynamics of the model are completely determined by the set of coupled differential equations that comprise the model. It is shown analytically how the parameters of this model can be selected so as to guarantee a behavior equivalent to that of ART1 in both fast and slow learning scenarios. Simulations are performed in which the trajectories of node and weight activities are determined using numerical approximation techniques. © 1994 IEEE
Publication Date
1-1-1994
Publication Title
IEEE Transactions on Neural Networks
Volume
5
Issue
6
Number of Pages
873-889
Document Type
Article
Identifier
scopus
Personal Identifier
scopus
DOI Link
https://doi.org/10.1109/72.329684
Copyright Status
Unknown
Socpus ID
0028546055 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0028546055
STARS Citation
Heileman, Gregory L.; Georgiopoulos, Michael; and Abdallah, Chaouki, "A Dynamical Adaptive Resonance Architecture" (1994). Scopus Export 1990s. 307.
https://stars.library.ucf.edu/scopus1990/307