A replica approach to the state-dependent synapses neural network

Details A replica approach to the state-dependent synapses neural network A replica approach to the state-dependent synapses neural network

1998-11-17

arxiv.org/abs/cond-mat/9811244v1

J Phys.A: Math.Gen. 32 (1999) 3201-3207

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, including 2 figures

Scientific paper

10.1088/0305-4470/32/18/301

The replica method is applied to a neural network model with state-dependent synapses built from those patterns having a correlation with the state of the system greater than a certain threshold. Replica-symmetric and first-step replica-symmetry-breaking results are presented for the storage capacity at zero temperature as a function of this threshold value. A comparison is made with existing results based upon mean-field equations obtained by using a statistical method.

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