Optimal Capacity of the Blume-Emery-Griffiths perceptron

Details Optimal Capacity of the Blume-Emery-Griffiths perceptron Optimal Capacity of the Blume-Emery-Griffiths perceptron

2002-10-11

arxiv.org/abs/cond-mat/0210256v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures

Scientific paper

10.1103/PhysRevE.67.036113

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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