English

Optimal Capacity of the Blume-Emery-Griffiths perceptron

Disordered Systems and Neural Networks 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0210256,
  title  = {Optimal Capacity of the Blume-Emery-Griffiths perceptron},
  author = {D. Bolle and I. Perez Castillo and G. M. Shim},
  journal= {arXiv preprint arXiv:cond-mat/0210256},
  year   = {2009}
}

Comments

10 pages, 8 figures