Analytical and Numerical Study of Internal Representations in Multilayer Neural Networks with Binary Weights

Details Analytical and Numerical Study of Internal Representations in Multilayer Neural Networks with Binary Weights Analytical and Numerical Study of Internal Representations in Multilayer Neural Networks with Binary Weights

1996-04-16

arxiv.org/abs/cond-mat/9604102v1

Physics

Condensed Matter

revtex, 20 pages + 9 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.54.717

We study the weight space structure of the parity machine with binary weights
by deriving the distribution of volumes associated to the internal
representations of the learning examples. The learning behaviour and the
symmetry breaking transition are analyzed and the results are found to be in
very good agreement with extended numerical simulations.

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