Computer Science

A lower bound for monotone perceptrons

Document Type

Article

Abstract

It is proved that there is a monotone function in AC40 which requires exponential-size monotone perceptrons of depth 3. This solves the monotone version of a problem which, in the general case, would imply an oracle separation of PPPH. © 1995 Springer-Verlag New York Inc.

Publication Title

Mathematical Systems Theory

Publication Date

1995

Volume

28

Issue

4

First Page

283

Last Page

298

ISSN

0025-5661

DOI

10.1007/BF01185398

Keywords

computational mathematic, monotone function, oracle separation, monotone version

APA Citation

Green, F. (1995). A lower bound for monotone perceptrons. Mathematical systems theory, 28, 283-298.

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