Guozheng Dai

collaborators

3 papers

math.PR2025

A note on the improved sparse Hanson-Wright inequalities

Guozheng Dai, Yiyun He, Ke Wang +1

We establish sparse Hanson-Wright inequalities for quadratic forms of sparse $α$ -sub-exponential random vectors with exponent parameter $α \in (0, 2]$ . In the regime $0 < α \leq 1$ we d…

math.PR2025

The Rank and Singular Values of the Inhomogeneous Subgaussian Random Matrices

Guozheng Dai, Zeyan Song, Hanchao Wang

Let A be an n*n random matrix with mean zero and independent inhomogeneous non-constant subgaussian entries. We get that for any k<c\sqrt{n}, the probability of the matrix has a lo…

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…