Storage of correlated patterns in a perceptron

Details Storage of correlated patterns in a perceptron Storage of correlated patterns in a perceptron

1995-05-22

arxiv.org/abs/cond-mat/9505093v1

Physics

Condensed Matter

9 pages LaTeX ioplppt style, figures included using epsf

Scientific paper

10.1088/0305-4470/28/16/005

We calculate the storage capacity of a perceptron for correlated gaussian patterns. We find that the storage capacity $\alpha_c$ can be less than 2 if similar patterns are mapped onto different outputs and vice versa. As long as the patterns are in general position we obtain, in contrast to previous works, that $\alpha_c \geq 1$ in agreement with Cover's theorem. Numerical simulations confirm the results.

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