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Methods of analysis of neural nets

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Abstract

Two general methods of analysis of neural nets are developed in terms of elementary matrix algebra. These methods offer a complete description of the behaviors of neural nets with relative ease. As an example, the special case of two neurons is completely solved. This case may be of interest in the consideration of two interacting quantities of any type, e.g. economic, psychiatric, neuronic, etc.

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References

  • Aicllo, A., Burattini, E., Caianiello, E. R.: Synthesis of reverberating neural networks. Kybernetik 7, 191–195 (1970)

    Google Scholar 

  • Caianiello, E. R.: Outline of a theory of thought processes and thinking machines. J. theor. Biol. 2, 204–235 (1961)

    Google Scholar 

  • Caianiello, E. R.: Some remarks on the tensorial linearization of general and linearly separable Boolean functions. Kybernetik 12, 90–93 (1973)

    Google Scholar 

  • Caianiello, E. R., Grimson, W. E. L.: Synthesis of Boolean nets and time behaviour of a general mathematical neuron. Biol. Cybernetics 18, 111–117 (1975)

    Google Scholar 

  • Caianiello, E. R., De Luca, A., Ricciardi, L. M.: Reverberations and control of neural networks. Kybernetik 4, 10–18 (1967)

    Google Scholar 

  • Cull, P.: Linear analysis of switching nets. Kybernetik 8, 31–39 (1971)

    Google Scholar 

  • Ishihara, I.: Local reverberations in the nervous system and conditional reflex. Math. Biosci. 12, 23–31 (1971)

    Google Scholar 

  • Kitagawa, I.: Dynamical systems and operators associated with a single neuronic equation. Math. Biosci. 18, (1973)

  • De Luca, A.: On some representations of Boolean functions. Applications to the theory of switching elements nets. Kybernetik 9, 1–10 (1970)

    Google Scholar 

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Caianiello, E.R., Grimson, W.E.L. Methods of analysis of neural nets. Biol. Cybernetics 22, 1–6 (1976). https://doi.org/10.1007/BF00340227

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  • DOI: https://doi.org/10.1007/BF00340227

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