Optimal capacity of the Blume-Emery-Griffiths perceptron
D. Bollé, Isaac Pérez Castillo, G. M. Shim · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003
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.