title: Optimal capacity of the Blume-Emery-Griffiths perceptron.
abstract: 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.
authors.affiliation: Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Belgium. Desire.Bolle@fys.kuleuven.ac.be
authors.forename: D
authors.initials: D
authors.lastname: Bollé
authors.forename: I
authors.initials: I
authors.lastname: Pérez Castillo
authors.forename: G M
authors.initials: GM
authors.lastname: Shim