Optimal Capacity of the Blume-Emery-Griffiths perceptron
D.Bolle, I. Perez Castillo, G. M. Shim
TL;DR
This paper introduces a Blume-Emery-Griffiths perceptron model and calculates its optimal capacity using replica-symmetric methods, analyzing stability and comparing with other three-state perceptrons.
Contribution
It provides the first calculation of the optimal capacity of the Blume-Emery-Griffiths perceptron and examines the stability of the replica-symmetric solution.
Findings
Optimal capacity depends on pattern activity and stability parameter.
Replica-symmetric solution stability is analyzed via an Almeida-Thouless line.
Comparison with other three-state perceptrons shows distinct performance features.
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 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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