The Restricted Isometry Property of Block Diagonal Matrices Generated by $\varphi$-Sub-Gaussian Variables

Yiming Chen; Guozheng Dai; Kaiti Ding

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arXiv · 2411.08430

The Restricted Isometry Property of Block Diagonal Matrices Generated by $\varphi$-Sub-Gaussian Variables

Yiming Chen·Guozheng Dai·Kaiti Ding

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Abstract

In this paper, we prove the restricted isometry property of block diagonal random matrices with elements from $\varphi$-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.

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Yiming Chen, Guozheng Dai, Kaiti Ding. 2024-11-13. The Restricted Isometry Property of Block Diagonal Matrices Generated by $\varphi$-Sub-Gaussian Variables. https://arxiv.org/abs/2411.08430

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