Optimal capacity of the Blume-Emery-Griffiths perceptron.
A Blume-Emery-Griffiths perceptron model is introduced and its optimal capacity is calculated within the replica-symmetric Gardner approach, as a function of the pattern activity and the embedding stability parameter. The stability of the replica-symmetric approximation is studied via the analog of the de Almeida-Thouless line. A comparison is made with other three-state perceptrons.
Bollé
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Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Belgium. Desire.Bolle@fys.kuleuven.ac.be
Pérez Castillo
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Shim
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