论文标题

$ \ ell_ {p} $的矩阵偏差不等式 - norm

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

论文作者

Wang, Te-Chun, Sheu, Yuan-Chung

论文摘要

由I.I.D集合高斯矩阵的一般矩阵偏差不平等的动机,我们研究其普遍性。作为此问题的起点,我们表明该属性适用于$ \ ell_ {p} $ - norm- $ 1 \ leq p <\ infty $和I.I.D集合sub-gaussian sub-gaussian随机矩阵,该矩阵是一个随机矩阵,具有I.I.D Mean-Zero,单位差异,单位差异,亚高斯inter-sub-Gaussian Entries。

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.

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