Thermodynamics of fully connected Blume-Emery-Griffiths neural networks

Abstract

The thermodynamic and retrieval properties of fully connected Blume-Emery-Griffiths networks, storing ternary patterns, are studied using replica mean-field theory. Capacity-temperature phase diagrams are derived for several values of the pattern activity. It is found that the retrieval phase is the largest in comparison with other three-state neuron models. Furthermore, the meaning and stability of the so-called quadrupolar phase is discussed as a function of both the temperature and the pattern activity. Where appropriate, the results are compared with the diluted version of the model.

arXiv comment13 pages, 6 figures, iopart style

References in corpus (2)

• Effects of Random Biquadratic Couplings in a Spin-1 Spin-Glass Model
• An optimal Q-state neural network using mutual information

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• The sparse Blume-Emery-Griffiths model of associative memories