4 papers
Randomized second order Riesz projections on the Hamming cube
Yiming Chen, Guozheng Dai
In this paper, we improve the arbitrary Banach space \(n \log n\) bound of Ivanisvili--Volberg \cite{IvanisviliVolberg2022} for the second order projection bound to the order \(\sq…
The exact group-sparse recovery for block diagonal matrices with subexponential entries
Guozheng Dai, Tiankun Diao, Hanchao Wang
We study block-diagonal random matrices with i.i.d. subexponential entries and show that, despite their highly structured form, they already guarantee exact sparse recovery from a…
A note on correlation inequalities for regular increasing families
Yiming Chen, Guozheng Dai
This paper establishes quantitative correlation inequalities between monotone events and structured threshold objects in both the discrete cube and Gaussian space. We prove that fo…
The Restricted Isometry Property of Block Diagonal Matrices Generated by -Sub-Gaussian Variables
Yiming Chen, Guozheng Dai, Kaiti Ding
In this paper, we prove the restricted isometry property of block diagonal random matrices with elements from -sub-Gaussian variables, which extends the previously known result…