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
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.
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.
Occhinegro P., Tagliaferri R., “Classes of efficiently computable linear Neural Nets”, Neural Networks, 1990, 3, 347.
Caianiello E.R., De Benedictis A., Petrosino A., Tagliaferri R. (1991). “Neural Associative Memories with Minimum Connectivity”. In press on Neural Networks.
Kohonen T., Associative Memory: a System Theoretical Approach, Springer-Verlag, Berlin, 1977.
Hopfield J.J., “Neuronal Networks and Phisycal Systems with Emergent Collective Computational Abilities”, Proceedings of National Accademy of Sciences USA, 1982, 79, 2254–2558.
Amari F., “Neuronal Theory of Association and Concept Formation”, Biological Cybernetics, 1977, 26, 175–185.
Maurani A. D., Chevallier R. C., Sirat G., “Information Retrieval in Neuronal Networks”, Rev. Phys. Appl., 1987, 22, 1321–1325.
Personnaz I., Guyon I., Dreyfus G., “Information Storage and Retrieval in Spin-Glass like Neuronal Networks”, Journ. Phys. Lett., 1985, 46, 359–365.
Caianiello E.R., Ceccarelli M., Marinaro M., “Can Spurius States be useful?”. In press on Complex Systems.
Caianiello E.R., Esposito A., Marinaro M., Tagliaferri R., “The Behaviour and Learning of a Deterministic Neural Net”. Preprint I.I.A.S.S.
Venkatesh S., Pancha G., Psaltis D., Sirat G. “Shaping Attraction Basins in Neuronal Networks”, Neurai Networks, 1990, 3, 613–623.
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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
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