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Deterministic Networks with Ternary Neurons

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Part of the book series: Perspectives in Neural Computing ((PERSPECT.NEURAL))

Abstract

The synaptic matrices for two subclasses of networks with ternary neurons are built. In the first subclass the evolution of the net is linear, in the second only a specific subset of independent states of the net evolves linearly. The possibility to use these networks as associative memories of large storage capacity is shown.

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References

  1. Caianiello E.R., Marinaro M., Tagliaferri R. (1988). “The inverse problem for linear boolean nets” In R. Eckmiller and Ch. von der Marisburg (Eds.), Neural Computers, NATO ASI Series, F41, Berlin: Springer-Verlag.

    Google Scholar 

  2. Caianiello E.R., Marinaro M., Tagliaferri R. (1989). “Linear Boolean Nets Synthesizable in Polynomial Time”. In R.M.J. Cotterill (Ed.), Models of Brain Function, Cambridge Univ. Press.

    Google Scholar 

  3. Occhinegro P., Tagliaferri R., “Classes of efficiently computable linear Neural Nets”, Neural Networks, 1990, 3, 347.

    Article  Google Scholar 

  4. Caianiello E.R., De Benedictis A., Petrosino A., Tagliaferri R. (1991). “Neural Associative Memories with Minimum Connectivity”. In press on Neural Networks.

    Google Scholar 

  5. Kohonen T., Associative Memory: a System Theoretical Approach, Springer-Verlag, Berlin, 1977.

    MATH  Google Scholar 

  6. Hopfield J.J., “Neuronal Networks and Phisycal Systems with Emergent Collective Computational Abilities”, Proceedings of National Accademy of Sciences USA, 1982, 79, 2254–2558.

    MathSciNet  Google Scholar 

  7. Amari F., “Neuronal Theory of Association and Concept Formation”, Biological Cybernetics, 1977, 26, 175–185.

    Article  MATH  MathSciNet  Google Scholar 

  8. Maurani A. D., Chevallier R. C., Sirat G., “Information Retrieval in Neuronal Networks”, Rev. Phys. Appl., 1987, 22, 1321–1325.

    Article  Google Scholar 

  9. Personnaz I., Guyon I., Dreyfus G., “Information Storage and Retrieval in Spin-Glass like Neuronal Networks”, Journ. Phys. Lett., 1985, 46, 359–365.

    Article  Google Scholar 

  10. Caianiello E.R., Ceccarelli M., Marinaro M., “Can Spurius States be useful?”. In press on Complex Systems.

    Google Scholar 

  11. Caianiello E.R., Esposito A., Marinaro M., Tagliaferri R., “The Behaviour and Learning of a Deterministic Neural Net”. Preprint I.I.A.S.S.

    Google Scholar 

  12. Venkatesh S., Pancha G., Psaltis D., Sirat G. “Shaping Attraction Basins in Neuronal Networks”, Neurai Networks, 1990, 3, 613–623.

    Article  Google Scholar 

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© 1992 Springer-Verlag London Limited

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Marinaro, M. (1992). Deterministic Networks with Ternary Neurons. In: Taylor, J.G., Caianiello, E.R., Cotterill, R.M.J., Clark, J.W. (eds) Neural Network Dynamics. Perspectives in Neural Computing. Springer, London. https://doi.org/10.1007/978-1-4471-2001-8_5

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  • DOI: https://doi.org/10.1007/978-1-4471-2001-8_5

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19771-3

  • Online ISBN: 978-1-4471-2001-8

  • eBook Packages: Springer Book Archive

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