The Restricted Isometry Property of Block Diagonal Matrices Generated by $\varphi$-Sub-Gaussian Variables
Probability
2024-11-14 v1
Abstract
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 results for the sub-Gaussian case. A crucial ingredient of our proof is an improved uniform Hanson-Wright deviation inequality, which should be of independent interest.
Keywords
Cite
@article{arxiv.2411.08430,
title = {The Restricted Isometry Property of Block Diagonal Matrices Generated by $\varphi$-Sub-Gaussian Variables},
author = {Yiming Chen and Guozheng Dai and Kaiti Ding},
journal= {arXiv preprint arXiv:2411.08430},
year = {2024}
}
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13 pages