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A biologically plausible maturation of an ART network

  • Plasticity Phenomena (Maturing, Learning & Memory)
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Book cover Foundations and Tools for Neural Modeling (IWANN 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1606))

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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.

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References

  • Carpenter, G. (1997). Distributed learning, recognition, and prediction by ART and ARTMAP neural networks. Neural Networks, 10(8), 1473–1493.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Elman, J.L. (1993). Learning and development in neural networks: The importance of starting small. Cognition, 48(1), 1993, 71–99.

    Article  Google Scholar 

  • Grossberg S. (1973). Contour Enhancement, Short Term Memory, and Constancies in Reverberating Neural Networks. Studies in Applied Mathematics, 52 (3), p.213–257.

    Article  MathSciNet  MATH  Google Scholar 

  • Grossberg, S. (1980). How does a brain build a cognitive code. Psychological Review, 87.

    Google Scholar 

  • Molenaar, P.C.M., Boomsma, D.I. & Dolan, C.V. (1993). A third source of developmental differences. Behavior Genetics, 23, 519–524.

    Article  Google Scholar 

  • Molenaar, P.C.M. (1986). On the impossibility of acquiring more powerful structures: A neglected alternative. Human Development, 29, 245–251.

    Article  MathSciNet  Google Scholar 

  • Quartz, S.R. (1993). Neural networks, nativism, and the plausibility of constructivism. Cognition, 48, 223–242.

    Article  Google Scholar 

  • Raijmakers, M.E.J. (1997). Is the learning paradox refuted? Behavioral and Brain Sciences, 20(4).

    Google Scholar 

    Google Scholar 

  • Raijmakers, M.E.J. (1998). Distributed learning in Exact ART. Technical Report, Department of Psychology, University of Amsterdam.

    Google Scholar 

  • Raijmakers, M.E.J. & Molenaar, P.C.M. (1997). Exact ART: A complete implementation of an ART network. Neural Networks, 10 (4), 649–669.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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.

    Article  Google Scholar 

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José Mira Juan V. Sánchez-Andrés

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© 1999 Springer-Verlag Berlin Heidelberg

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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

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  • DOI: https://doi.org/10.1007/BFb0098231

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66069-9

  • Online ISBN: 978-3-540-48771-5

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