Summary
In a discrete model of a neural network, from a limitation on the rank of the matrix of “coupling coefficients”, an upper bound for the maximum length of the transients is derived, generalizing the analogue result of Caianiello (1966a) for the case of rank one. A counterexample shows that the limitation found is the best possible involving only the rank of the matrix.
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References
Caianiello, E. R.: A study of neural networks and reverberations. Bionic Symposium, Dayton, Ohio (1966a).
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Caianiello, E. R., Aiello, A., Burattini, E.: Synthesis of reverberations in neural networks (to appear).
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Accardi, L. Rank and reverberations in neural networks. Kybernetik 8, 163–164 (1971). https://doi.org/10.1007/BF00291116
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DOI: https://doi.org/10.1007/BF00291116