| Numéro |
J. Phys. I France
Volume 4, Numéro 5, May 1994
|
|
|---|---|---|
| Page(s) | 629 - 633 | |
| DOI | https://doi.org/10.1051/jp1:1994166 | |
DOI: 10.1051/jp1:1994166
J. Phys. I France 4 (1994) 629-633
1 Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov 310164, Ukraine
2 Department of Mathematics, University of Rome "La Sapienza", P.le Aldo Moro, 5 - 00185, Roma, Italy
© Les Editions de Physique 1994
J. Phys. I France 4 (1994) 629-633
Short Communication
Saddle point equations of a neural network with correlated attractors
M. Shcherbina1 and B. Tirozzi21 Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov 310164, Ukraine
2 Department of Mathematics, University of Rome "La Sapienza", P.le Aldo Moro, 5 - 00185, Roma, Italy
(Received 17 January 1994, received in final form 7 February 1994, accepted 25 February 1994)
Abstract
We derive in a rigorous way, using a new technique, the saddle-point
equations of a modified Hopfield model which stores sequences of
patterns . We obtain the same equations as those of the replica-symmetry
approach without using the
limit but assuming
selfaveraging of the Edwards-Anderson order parameter.
© Les Editions de Physique 1994