https://doi.org/10.1140/epjb/e2004-00144-7
Associative memory on a small-world neural network
1
Abdus Salam International Center for Theoretical Physics,
P.O. Box 586, 34100 Trieste, Italy
2
Centro Atómico Bariloche, CONICET and Instituto Balseiro, 8400 S.C. de Bariloche, Argentina
Corresponding author: a morelli@ictp.trieste.it
Received:
23
October
2003
Revised:
12
January
2004
Published online:
28
May
2004
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.
PACS: 84.35.+i – Neural networks / 89.75.Hc – Networks and genealogical trees / 87.18.Sn – Neural networks
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
