Abstract
The variation of the convergence timeτ, as a function of the storage capacityα is studied numerically for systems ranging in size fromN=1000 toN=16,000 neurons.τ is found to increase likeτ∼exp[−A(αc−α)] as one nears the critical storage capacityα c =0.142=0.002.
References
I. Kanter,Phys. Rev. A 40:2611 (1989).
G. A. Kohring,J. Phys. A 23:2237 (1990).
K. Binder and A. P. Young,Rev. Mod. Phys. 58:801 (1986).
I. A. Campbell, J. M. Flesseles, R. Julien, and R. Botet,Phys. Rev. B 37:3825 (1988); M. Ghosh and B. K. Chakrabarti,Phys. Rev. B, in press.
D. Amit, H. Gutfreund, and H. Sompolinsky,Ann. Phys. 173:30 (1987); A. Crisanti, D.J. Amit, and H. Gutfreund,Eur. Phys. Lett. 2:337 (1986).
G. A. Kohring,J. Stat. Phys. 59:1077 (1990).
J. Komlós and R. Paturi,Neural Networks 1:239 (1988).
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Ghosh, M., Sen, A.K., Chakrabarti, B.K. et al. Slowing down of retrieval in the hopfield model. J Stat Phys 61, 501–504 (1990). https://doi.org/10.1007/BF01013978
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DOI: https://doi.org/10.1007/BF01013978