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A Refined Non-asymptotic Tail Bound of Sub-Gaussian Matrix

Probability 2019-06-26 v1

Abstract

In this paper, we obtain a refined non-asymptotic tail bound for the largest singular value (the soft edge) of sub-Gaussian matrix. As an application, we use the obtained theorem to compute the tail bound of the Gaussian Toeplitz matrix.

Keywords

Cite

@article{arxiv.1906.10432,
  title  = {A Refined Non-asymptotic Tail Bound of Sub-Gaussian Matrix},
  author = {Xianjie Gao and Hongwei Zhang},
  journal= {arXiv preprint arXiv:1906.10432},
  year   = {2019}
}