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The Optimal Sample Complexity of PAC Learning

Steve Hanneke

2015 · DOI: 10.5555/2946645.2946683
Journal of machine learning research · 170 Citations

TLDR

This work establishes a new upper bound on the number of samples sufficient for PAC learning in the realizable case that matches known lower bounds up to numerical constant factors.

Abstract

This work establishes a new upper bound on the number of samples sufficient for PAC learning in the realizable case. The bound matches known lower bounds up to numerical constant factors. This solves a long-standing open problem on the sample complexity of PAC learning. The technique and analysis build on a recent breakthrough by Hans Simon.