SADDLE-POINT EQUATIONS OF A NEURAL-NETWORK WITH CORRELATED ATTRACTORS

Citation
M. Shcherbina et B. Tirozzi, SADDLE-POINT EQUATIONS OF A NEURAL-NETWORK WITH CORRELATED ATTRACTORS, Journal de physique. I, 4(5), 1994, pp. 629-633
Citations number
8
Categorie Soggetti
Physics
Journal title
ISSN journal
11554304
Volume
4
Issue
5
Year of publication
1994
Pages
629 - 633
Database
ISI
SICI code
1155-4304(1994)4:5<629:SEOANW>2.0.ZU;2-Z
Abstract
We derive in a rigorous way, using a new technique, the saddle-point e quations of a modified Hopfield model which stores sequences of patter ns . We obtain the same equations as those of the replica-symmetry app roach without using the n --> 0 limit but assuming selfaveraging of th e Edwards-Anderson order parameter.