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math.PR2025
The exact group-sparse recovery for block diagonal matrices with subexponential entries
Guozheng Dai, Tiankun Diao, Hanchao Wang
We study block-diagonal random matrices with i.i.d. subexponential entries and show that, despite their highly structured form, they already guarantee exact sparse recovery from a…
math.PR2025
The eigenvalue gap of inhomogeneous symmetric discrete random matrix
Zeyan Song, Hanchao Wang
Let A be an n x n symmetric random matrix whose upper-triangular entries are independent and follow possibly non-identical subgaussian distributions. This paper investigates the sp…
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…