English

A covariance representation and an elementary proof of the Gaussian concentration inequality

Probability 2024-10-10 v1 Machine Learning

Abstract

Via a covariance representation based on characteristic functions, a known elementary proof of the Gaussian concentration inequality is presented. A few other applications are briefly mentioned.

Keywords

Cite

@article{arxiv.2410.06937,
  title  = {A covariance representation and an elementary proof of the Gaussian concentration inequality},
  author = {Christian Houdré},
  journal= {arXiv preprint arXiv:2410.06937},
  year   = {2024}
}

Comments

These simple notes on well known results will not be published elsewhere. They have been previously referenced and are posted here to make them more widely accessible