Learning and generalization theories of large committee--machines

Physics – Condensed Matter

Scientific paper

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14 pages, revtex

Scientific paper

The study of the distribution of volumes associated to the internal
representations of learning examples allows us to derive the critical learning
capacity ($\alpha_c=\frac{16}{\pi} \sqrt{\ln K}$) of large committee machines,
to verify the stability of the solution in the limit of a large number $K$ of
hidden units and to find a Bayesian generalization cross--over at $\alpha=K$.

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