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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 -sub-exponential random vectors with exponent parameter . In the regime 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…