English

The Optimal Sample Complexity of PAC Learning

Machine Learning 2016-09-13 v4 Machine Learning

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.

Keywords

Cite

@article{arxiv.1507.00473,
  title  = {The Optimal Sample Complexity of PAC Learning},
  author = {Steve Hanneke},
  journal= {arXiv preprint arXiv:1507.00473},
  year   = {2016}
}
R2 v1 2026-06-22T10:04:18.484Z