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arxiv: cond-mat/0210256 · v1 · submitted 2002-10-11 · ❄️ cond-mat.dis-nn

Optimal Capacity of the Blume-Emery-Griffiths perceptron

classification ❄️ cond-mat.dis-nn
keywords blume-emery-griffithscapacityoptimalperceptronreplica-symmetricstabilityactivityalmeida-thouless
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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 imbedding stability parameter. The stability of the replica-symmetric approximation is studied via the analogue of the Almeida-Thouless line. A comparison is made with other three-state perceptrons.

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