1997/04/18 by D. R. C. Dominguez, David Domínguez, D. Bollé
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Neural Networks and Applications #Neural dynamics and brain function #cond-mat.dis-nn #q-bio #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.56.7306
published as Phys. Rev. E 56, 7306-7309 (1997) · 17 pages incl. figures, LaTeX, uses epsfig.sty
arxiv created 1997/04/18 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 derived in the limit of extreme dilution. The transition from the retrieval region to the categorization region occurring when the number of examples or their correlations are increased is discussed as a function of the zero-activity threshold of the neurons. In particular, the differences with models for binary concepts are highlighted.