论文标题
产品的基质浓度
Matrix Concentration for Products
论文作者
论文摘要
本文为独立随机矩阵的乘积发展了非沉淀生长和浓度界限。这些结果使Henriksen-Ward的最新工作变得更加锐利，并且在精神上与Ahlswede-Winter和Tropp的结果相似，以获得一系列独立的随机矩阵。该参数依赖于schatten痕迹类的均匀平滑度。
This paper develops nonasymptotic growth and concentration bounds for a product of independent random matrices. These results sharpen and generalize recent work of Henriksen-Ward, and they are similar in spirit to the results of Ahlswede-Winter and of Tropp for a sum of independent random matrices. The argument relies on the uniform smoothness properties of the Schatten trace classes.
