Matrix Deviation Inequality for $\ell_{p}$-Norm

Autor: Wang, Te-Chun, Sheu, Yuan-Chung
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: Motivated by the general matrix deviation inequality for i.i.d ensemble Gaussian matrix, we study its universality property. As a starting point for this problem, we show that this property holds for $\ell_{p}$-norm with $1\leq p< \infty$ and i.i.d ensemble sub-Gaussian random matrix, which is a random matrix with i.i.d mean-zero, unit variance, sub-Gaussian entries.
Comment: 22 pages
Databáze: arXiv