English

A Closer Look at Covering Number Bounds for Gaussian Kernels

Functional Analysis 2020-11-17 v2

Abstract

We establish some new bounds on the log-covering numbers of (anisotropic) Gaussian reproducing kernel Hilbert spaces. Unlike previous results in this direction we focus on small explicit constants and their dependency on crucial parameters such as the kernel bandwidth and the size and dimension of the underlying space.

Keywords

Cite

@article{arxiv.1912.11741,
  title  = {A Closer Look at Covering Number Bounds for Gaussian Kernels},
  author = {Ingo Steinwart and Simon Fischer},
  journal= {arXiv preprint arXiv:1912.11741},
  year   = {2020}
}

Comments

accepted manuscript in J. Complexity