Abstract
We present a numerical bifurcation analysis of a shunting neural network (SNN). Fold bifurcations appear to occur in the plane of parameters that are subject to post-natal maturation: the range and strength of lateral connections. The SNN is implemented as a content addressable memory (CAM) in Exact ART, a complete implementation of Adaptive Resonance Theory. The stability and functionality of Exact ART with the CAM in different dynamic regimes is maintained. Moreover, through a bifurcation, the learning behavior of Exact ART changes from forming local representations to forming distributed representations. Presently, we extend Exact ART by adding biologically plausible evolution equations for activation dependent maturation of lateral connections in a SNN (Van Ooyen et al., 1995). The resulting model is an epigenetic model of both morphological development and cognitive behavioral development.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Carpenter, G. (1997). Distributed learning, recognition, and prediction by ART and ARTMAP neural networks. Neural Networks, 10(8), 1473–1493.
Carpenter, G., Grossberg, S. (1987). ART 2: Self-organization of stable category recognition codes for analog input patterns. Applied Optics, 26 (23), p. 4919–4930.
Elman, J.L. (1993). Learning and development in neural networks: The importance of starting small. Cognition, 48(1), 1993, 71–99.
Grossberg S. (1973). Contour Enhancement, Short Term Memory, and Constancies in Reverberating Neural Networks. Studies in Applied Mathematics, 52 (3), p.213–257.
Grossberg, S. (1980). How does a brain build a cognitive code. Psychological Review, 87.
Molenaar, P.C.M., Boomsma, D.I. & Dolan, C.V. (1993). A third source of developmental differences. Behavior Genetics, 23, 519–524.
Molenaar, P.C.M. (1986). On the impossibility of acquiring more powerful structures: A neglected alternative. Human Development, 29, 245–251.
Quartz, S.R. (1993). Neural networks, nativism, and the plausibility of constructivism. Cognition, 48, 223–242.
Raijmakers, M.E.J. (1997). Is the learning paradox refuted? Behavioral and Brain Sciences, 20(4).
Raijmakers, M.E.J. (1998). Distributed learning in Exact ART. Technical Report, Department of Psychology, University of Amsterdam.
Raijmakers, M.E.J. & Molenaar, P.C.M. (1997). Exact ART: A complete implementation of an ART network. Neural Networks, 10 (4), 649–669.
Raijmakers, M.E.J., van der Maas & Molenaar, P.C.M. (1997). Numerical Bifurcation Analysis of Distance-Dependent On-Center Off-Surround Shunting Neural networks. Biological Cybernetics 75, 495–507.
Van Ooyen, A., van Pelt, J. & Corner, M. A. (1995). Implications of activity dependent neurite outgrowth for neuronal morphology and network development. Journal of Theoretical Biology, 172, 63–82.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Raijmakers, M.E.J., Molenaar, P.C.M. (1999). A biologically plausible maturation of an ART network. In: Mira, J., Sánchez-Andrés, J.V. (eds) Foundations and Tools for Neural Modeling. IWANN 1999. Lecture Notes in Computer Science, vol 1606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098231
Download citation
DOI: https://doi.org/10.1007/BFb0098231
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66069-9
Online ISBN: 978-3-540-48771-5
eBook Packages: Springer Book Archive