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math.PR2022
Approximately Hadamard matrices and Riesz bases in random frames
Xiaoyu Dong, Mark Rudelson
An matrix with entries which acts on as a scaled isometry is called Hadamard. Such matrices exist in some, but not all dimensions. Combining num…
math.PR2021
The Smallest Singular Value of a Shifted Random Matrix
Xiaoyu Dong
Let be a random matrix with i.i.d. subgaussian entries. Let be a deterministic matrix with norm where . The g…