22 citations · 181 across the 28 of their papers we have counts for
5 papers · 1 filter
Generic continuous spectrum for multi-dimensional quasi periodic Schrödinger operators with rough potentials
Rui Han, Fan Yang
We study the multi-dimensional operator , where is the shift of the torus $\T^d$. When , we show the spectrum of is almos…
Contraction and uniform convergence of isotonic regression
Fan Yang, Rina Foygel Barber
We consider the problem of isotonic regression, where the underlying signal is assumed to satisfy a monotonicity constraint, that is, lies in the cone $\{ x\in\mathbb{R}^n…
Covariate Assisted Variable Ranking
Zheng Tracy Ke, Fan Yang
Consider a linear model , . The Gram matrix is non-sparse, but it is approximately the sum of two components, a low-rank matr…
Convergence of eigenvector empirical spectral distribution of sample covariance matrices
Haokai Xi, Fan Yang, Jun Yin
The eigenvector empirical spectral distribution (VESD) is a useful tool in studying the limiting behavior of eigenvalues and eigenvectors of covariance matrices. In this paper, we…
The smallest singular value of deformed random rectangular matrices
Fan Yang
We prove an estimate on the smallest singular value of a multiplicatively and additively deformed random rectangular matrix. Suppose for some constant $Λ\ge 1…