The number of metastable states in the generalized random orthogonal
  model

A Lef vre; Binder K; Bray A J; Bray A J; Chandra P; Cherrier R; Crisanti A; Crisanti A; D S Dean; de Dominicis C; De Martino A; de Oliveira V M; Dean D S; Degli Esposti M; Dotsenko V; Fischer K H; Gardner E; Itzykson C; Marinari E; Marinari E; Mézard M; Parisi G; R Cherrier; Rieger H; Roberts S A; Treves A

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The number of metastable states in the generalized random orthogonal model

Authors: A Lef vre
Binder K
Bray A J
Bray A J
Chandra P
Cherrier R
Crisanti A
Crisanti A
D S Dean
de Dominicis C
De Martino A
de Oliveira V M
Dean D S
Degli Esposti M
Dotsenko V
Fischer K H
Gardner E
Itzykson C
Marinari E
Marinari E
Mézard M
Parisi G
R Cherrier
Rieger H
Roberts S A
Treves A
Publication date: 11 December 2002
Publisher: 'IOP Publishing'
Doi

Abstract

We calculate the number of metastable states in the generalized random orthogonal model. The results obtained are verified by exact numerical enumeration for small systems sizes but taking into account finite size effects. These results are compared with those for Hopfield model in order to examine the effect of strict orthonormality of neural network patterns on the number of metastable states.Comment: 12 pages, 4 EPS figure

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