English

An extension of McDiarmid's inequality

Machine Learning 2024-05-03 v4 Probability Statistics Theory Statistics Theory

Abstract

We generalize McDiarmid's inequality for functions with bounded differences on a high probability set, using an extension argument. Those functions concentrate around their conditional expectations. We further extend the results to concentration in general metric spaces.

Keywords

Cite

@article{arxiv.1511.05240,
  title  = {An extension of McDiarmid's inequality},
  author = {Richard Combes},
  journal= {arXiv preprint arXiv:1511.05240},
  year   = {2024}
}

Comments

14 pages