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A tail inequality for quadratic forms of subgaussian random vectors

Probability 2011-10-14 v1 Machine Learning

Abstract

We prove an exponential probability tail inequality for positive semidefinite quadratic forms in a subgaussian random vector. The bound is analogous to one that holds when the vector has independent Gaussian entries.

Keywords

Cite

@article{arxiv.1110.2842,
  title  = {A tail inequality for quadratic forms of subgaussian random vectors},
  author = {Daniel Hsu and Sham M. Kakade and Tong Zhang},
  journal= {arXiv preprint arXiv:1110.2842},
  year   = {2011}
}