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

Remi Monasson; Riccardo Zecchina; Simona Cocco

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

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arxiv cond-mat/9604102 v1 pith:CZOR45JI submitted 1996-04-16 cond-mat

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

Simona Cocco , Remi Monasson , Riccardo Zecchina This is my paper

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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.

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

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