Associative memory on a small-world neural network

L. MORELLI; G. ABRAMSON; M. N. KUPERMAN

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

Año: 2004 vol. 38 p. 495 - 500

1434-6028

We study a model of associative memory based on a neural network with small-world structure.The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network.