Hanchao Wang

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20242026

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math.PR2024

Quantitative estimates of the singular values of random i.i.d. matrices

Guozheng Dai, Zhonggen Su, Hanchao Wang

Let $M$ be an $n \times n$ random i.i.d. matrix. This paper studies the deviation inequality of $s_{n - k + 1} (M)$ , the $k$ -th smallest singular value of $M$ . In particular, when the en…

math.PR2024

On Log-Concave-Tailed Chaoses and the Restricted Isometry Property

Guozheng Dai, Zhonggen Su, Vladimir Ulyanov +1

In this paper, we obtain a $p$ -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…