Uniform Concentration and Symmetrization for Weak Interactions

Abstract

The method to derive uniform bounds with Gaussian and Rademacher complexities is extended to the case where the sample average is replaced by a nonlinear statistic. Tight bounds are obtained for U-statistics, smoothened L-statistics and error functionals of l2-regularized algorithms.

Cite

Text

Maurer and Pontil. "Uniform Concentration and Symmetrization for Weak Interactions." Conference on Learning Theory, 2019.

Markdown

[Maurer and Pontil. "Uniform Concentration and Symmetrization for Weak Interactions." Conference on Learning Theory, 2019.](https://mlanthology.org/colt/2019/maurer2019colt-uniform/)

BibTeX

@inproceedings{maurer2019colt-uniform,
  title     = {{Uniform Concentration and Symmetrization for Weak Interactions}},
  author    = {Maurer, Andreas and Pontil, Massimiliano},
  booktitle = {Conference on Learning Theory},
  year      = {2019},
  pages     = {2372-2387},
  volume    = {99},
  url       = {https://mlanthology.org/colt/2019/maurer2019colt-uniform/}
}