J. Phys. I France
Volume 1, Numéro 7, July 1991
Page(s) 999 - 1004
DOI: 10.1051/jp1:1991183
J. Phys. I France 1 (1991) 999-1004

Generalization in the Hopfield model: numerical results

E. N. Miranda

HLRZ, KFA Jülich, D-5170 Jülich, Germany

(Received 11 April 1991, accepted 16 April 1991)

The generalization capability of the Hopfield model is studied numerically. There is a critical number $t_{\rm c}$ of noisy examples that should be presented before the system grasps the pure patterns. Above $t_{\rm c}$, the generalization error falls off as a power of the presented examples. The critical number of examples increases exponentially with the noise level in the examples and linearly with the number of patterns to be learned.

© Les Editions de Physique 1991