4 papers · 2 filters
Quantitative estimates of the singular values of random i.i.d. matrices
Guozheng Dai, Zhonggen Su, Hanchao Wang
Let be an random i.i.d. matrix. This paper studies the deviation inequality of , the -th smallest singular value of . In particular, when the en…
Uniform Hanson-Wright Type Deviation Inequalities for -Subexponential Random Vectors
Guozheng Dai, Zhonggen Su
This paper is devoted to uniform versions of the Hanson-Wright inequality for a random vector with independent centered -subexponential entries, . Our method relies up…
On Log-Concave-Tailed Chaoses and the Restricted Isometry Property
Guozheng Dai, Zhonggen Su, Vladimir Ulyanov +1
In this paper, we obtain a -th moment bound for the suprema of a log-concave-tailed nonhomogeneous chaos process, which is optimal in some special cases. A crucial ingredient of…
Deviation Inequalities for the Spectral Norm of Structured Random Matrices
Guozheng Dai, Zhonggen Su
We study the deviation inequality for the spectral norm of structured random matrices with non-gaussian entries. In particular, we establish an optimal bound for the -th moment…