Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network

Details Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network

2004-03-18

arxiv.org/abs/cond-mat/0403460v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages Latex, 2 eps figures

Scientific paper

10.1016/j.physa.2004.11.001

The optimal capacity of a diluted Blume-Emery-Griffiths neural network is studied as a function of the pattern activity and the embedding stability using the Gardner entropy approach. Annealed dilution is considered, cutting some of the couplings referring to the ternary patterns themselves and some of the couplings related to the active patterns, both simultaneously (synchronous dilution) or independently (asynchronous dilution). Through the de Almeida-Thouless criterion it is found that the replica-symmetric solution is locally unstable as soon as there is dilution. The distribution of the couplings shows the typical gap with a width depending on the amount of dilution, but this gap persists even in cases where a particular type of coupling plays no role in the learning process.

Affiliated with

Also associated with

No associations

Rating

Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-524868