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Published March 1988 | Published
Journal Article Open

The capacity of multilevel threshold functions

Abstract

Lower and upper bounds for the capacity of multilevel threshold elements are estimated, using two essentially different enumeration techniques. It is demonstrated that the exact number of multilevel threshold functions depends strongly on the relative topology of the input set. The results correct a previously published estimate and indicate that adding threshold levels enhances the capacity more than adding variables.

Additional Information

© 1988 IEEE. Reprinted with permission. Manuscript received June 13, 1986; revised March 16, 1987. Recommended for acceptance by J. Kittler. This work was supported by the President's Fund, Caltech.

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