Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons
Disordered Systems and Neural Networks
2009-10-31 v1 q-bio
Abstract
The two-parameter dynamical replica theory (2-DRT) is applied to investigate retrieval properties of non-monotonic associative memory, a model which lacks thermodynamic potential functions. 2-DRT reproduces dynamical properties of the model quite well, including the capacity and basin of attraction. Superretrieval state is also discussed in the framework of 2-DRT. The local stability condition of the superretrieval state is given, which provides a better estimate of the region in which superretrieval is observed experimentally than the self-consistent signal-to-noise analysis (SCSNA) does.
Cite
@article{arxiv.cond-mat/0010055,
title = {Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons},
author = {Toshiyuki Tanaka and Shinsuke Kakiya and Masato Okada},
journal= {arXiv preprint arXiv:cond-mat/0010055},
year = {2009}
}
Comments
16 pages, 19 postscript figures