Xiucai Ding

activity

20162023

most citedSingular vector and singular subspace distribution for the matrix denoising model

16 citations · 57 across the 20 of their papers we have counts for

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3 papers · 1 filter

math.PR2021★ 1 cited

A Riemann--Hilbert approach to the perturbation theory for orthogonal polynomials: Applications to numerical linear algebra and random matrix theory

Xiucai Ding, Thomas Trogdon

We establish a new perturbation theory for orthogonal polynomials using a Riemann--Hilbert approach and consider applications in numerical linear algebra and random matrix theory.…

math.PR2017

Spiked sample covariance matrices with possibly multiple bulk components

Xiucai Ding

In this paper, we study the convergent limits and rates of the eigenvalues and eigenvectors for spiked sample covariance matrices whose spectrum can have multiple bulk components.…

math.PR2016★ 9 cited

Singular vector distribution of sample covariance matrices

Xiucai Ding

We consider a class of sample covariance matrices of the form $Q = T X X^{*} T^{*},$ where $X = (x_{ij})$ is an $M \times N$ rectangular matrix consisting of i.i.d entries and $T$ is a dete…