On the Vapnik-Chervonenkis dimension of the Ising-perceptron

Physics – Condensed Matter

Scientific paper

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4 pages, Latex2e (incl. amstex, graphics, fancyheadings), 1 postscript figure

Scientific paper

10.1088/0305-4470/29/8/004

The VC dimension of the Ising perceptron with binary patterns is calculated
by numerical enumerations for system sizes N <= 31. It is significantly larger
than N/2. The data suggest that there is probably no well defined asymptotic
behaviour for N to infinity.

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