Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network

Details Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network

2002-06-28

arxiv.org/abs/cond-mat/0206569v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

22 pages, 12 figures

Scientific paper

10.1016/S0378-4371(02)01528-5

The parallel dynamics of the fully connected Blume-Emery-Griffiths neural network model is studied at zero temperature for arbitrary using a probabilistic approach. A recursive scheme is found determining the complete time evolution of the order parameters, taking into account all feedback correlations. It is based upon the evolution of the distribution of the local field, the structure of which is determined in detail. As an illustrative example, explicit analytic formula are given for the first few time steps of the dynamics. Furthermore, equilibrium fixed-point equations are derived and compared with the thermodynamic approach. The analytic results find excellent confirmation in extensive numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Parallel dynamics of the fully connected 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 Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645909