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Storage of correlated patterns in a perceptron

B. Lopez·M. Schroeder·M. Opper
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Abstract

We calculate the storage capacity of a perceptron for correlated gaussian patterns. We find that the storage capacity $α_c$ 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 $α_c \geq 1$ in agreement with Cover's theorem. Numerical simulations confirm the results.

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B. Lopez, M. Schroeder, M. Opper. 1995-05-22. Storage of correlated patterns in a perceptron. https://doi.org/10.1088/0305-4470%2F28%2F16%2F005

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