Embedded Patterns, Indirect Couplings with Randomness, and Memory Capacity in Neural Networks
Volume 20, Issue 4 (2009), pp. 477–486
Pub. online: 1 January 2009
Type: Research Article
Received
1 November 2008
1 November 2008
Accepted
1 May 2009
1 May 2009
Published
1 January 2009
1 January 2009
Abstract
In the present paper, the neural networks theory based on presumptions of the Ising model is considered. Indirect couplings, the Dirac distributions and the corrected Hebb rule are introduced and analyzed. The embedded patterns memorized in a neural network and the indirect couplings are considered as random. Apart from the complex theory based on Dirac distributions the simplified stationary mean field equations and their solutions taking into account an ergodicity of the average overlap and the indirect order parameter are presented. The modeling results are demonstrated to corroborate theoretical statements and applied aspects.