Storage Capacity of Extremely Diluted Hopfield Model

Details Storage Capacity of Extremely Diluted Hopfield Model Storage Capacity of Extremely Diluted Hopfield Model

2004-07-02

arxiv.org/abs/cond-mat/0407062v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex, 14 pages, 4 eps figures

Scientific paper

10.1142/S0129183104005802

The storage capacity of the extremely diluted Hopfield Model is studied by using Monte Carlo techniques. In this work, instead of diluting the synapses according to a given distribution, the dilution of the synapses is obtained systematically by retaining only the synapses with dominant contributions. It is observed that by using the prescribed dilution method the critical storage capacity of the system increases with decreasing number of synapses per neuron reaching almost the value obtained from mean-field calculations. It is also shown that the increase of the storage capacity of the diluted system depends on the storage capacity of the fully connected Hopfield Model and the fraction of the diluted synapses.

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