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J. Phys. I France 2 (1992) 2019-2024 NOVEMBER 1992, PAGE 2019 Classification
 

Summary: J. Phys. I France 2 (1992) 2019-2024 NOVEMBER 1992, PAGE 2019
Classification
Physics Abstracts
87.10 64.60C
Short Communication
Categorization and generalization in the Hopfield model
Miguel C. Branchtein and Jeferson J. Arenzon
Instituto de Fisica, Universidade Federal do Rio Grande do Sul, C-P- 15051, 91501-970, Porto
Alegre, RS, Brazi
(Received 1 September 1992, accepted in final form 8 September 1992)
Abstract. The capability of the Hopfield model in generalizing concepts from examples is
studied through numerical simulation. Noisy examples are
taught and we test if the network
grasps the underlying concepts. Several parameters are
modified along the simulation: the
number of concepts and examples and the initial noise in the examples. It is obtained the first
order transition from the retrieval phase to the categorization phase predicted by the mean
field
theory.
Nowadays the study of neural networks is focused mainly in the ability of recalling stored

  

Source: Arenzon, Jeferson J. - Instituto de Física, Universidade Federal do Rio Grande do Sul
Ecole Polytechnique, Centre de mathématiques

 

Collections: Mathematics; Physics