Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons

Details Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons

2000-10-04

arxiv.org/abs/cond-mat/0010055v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 19 postscript figures

Scientific paper

10.1088/0305-4470/34/13/303

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.

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