The Optimal Sample Complexity of PAC 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.

Cite

Text

Hanneke. "The Optimal Sample Complexity of PAC Learning." Journal of Machine Learning Research, 2016.

Markdown

[Hanneke. "The Optimal Sample Complexity of PAC Learning." Journal of Machine Learning Research, 2016.](https://mlanthology.org/jmlr/2016/hanneke2016jmlr-optimal/)

BibTeX

@article{hanneke2016jmlr-optimal,
  title     = {{The Optimal Sample Complexity of PAC Learning}},
  author    = {Hanneke, Steve},
  journal   = {Journal of Machine Learning Research},
  year      = {2016},
  pages     = {1-15},
  volume    = {17},
  url       = {https://mlanthology.org/jmlr/2016/hanneke2016jmlr-optimal/}
}