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The synchronous BEG neural network with variable dilution

D. Bollé·J. Busquets Blanco
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Abstract

The thermodynamic and retrieval properties of the Blume-Emery-Griffiths neural network with synchronous updating and variable dilution are studied using replica mean-field theory. Several forms of dilution are allowed by pruning the different types of couplings present in the Hamiltonian. The appearance and properties of two-cycles are discussed. Capacity-temperature phase diagrams are derived for several values of the pattern activity. The results are compared with those for sequential updating. The effect of self-coupling is studied. Furthermore, the optimal combination of dilution parameters giving the largest critical capacity is obtained.

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D. Bollé, J. Busquets Blanco. 2005-05-12. The synchronous BEG neural network with variable dilution. https://arxiv.org/abs/cond-mat/0505326

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