Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons
arXiv:cond-mat/0010055 · doi:10.1088/0305-4470/34/13/303
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.
16 pages, 19 postscript figures