J. Phys. I France
Volume 3, Numéro 5, May 1993
Page(s) 1141 - 1152
DOI: 10.1051/jp1:1993107
J. Phys. I France 3 (1993) 1141-1152

Storage of spatially correlated patterns in autoassociative memories

Rémi Monasson

Laboratoire de Physique Théorique de l'École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

(Received 2 November 1992, accepted in final form 8 January 1993)

The effects of spatially organised data on autoassociative neural networks are investigated in the optimal storage case. An analytical study is possible for weak spatial correlations. It predicts an increasing of the storage capacity $\alpha_c$ and ferromagnetic means for the couplings. Numerical simulations confirm these results for large spatial correlations.


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