Categorization by a three-state attractor neural network

Details Categorization by a three-state attractor neural network Categorization by a three-state attractor neural network

1997-04-18

arxiv.org/abs/cond-mat/9704158v1

Phys. Rev. E 56, 7306-7309 (1997)

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages incl. figures, LaTeX, uses epsfig.sty

Scientific paper

10.1103/PhysRevE.56.7306

The categorization properties of an attractor network of three-state neurons which infers three-state concepts from examples are studied. The evolution equations governing the parallel dynamics at zero temperature for the overlap between the state of the network and the examples, the state of the network and the concepts as well as the neuron activity are discussed in the limit of extreme dilution. A transition from a retrieval region to a categorization region is found when the number of examples or their correlations are increased. If the pattern activity is small enough, the examples (concepts) are very well retrieved (categorized) for an appropriate choice of the zero-activity threshold of the neurons.

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