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A lower bound for monotone perceptrons

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Abstract

It is proved that there is a monotone function in AC 04 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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Clark University, 01610, Worcester, MA, USA

    F. Green

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  1. F. Green
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Green, F. A lower bound for monotone perceptrons. Math. Systems Theory 28, 283–298 (1995). https://doi.org/10.1007/BF01185398

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  • DOI: https://doi.org/10.1007/BF01185398

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