Fan Yang

activity

20162026

most citedEdge universality of separable covariance matrices

22 citations · 181 across the 28 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math-ph2019★ 16 cited

Pure point spectrum for the Maryland model: a constructive proof

Svetlana Jitomirskaya, Fan Yang

We develop a constructive method to prove and study pure point spectrum for the Maryland model with Diophantine frequencies.

math.CA2019★ 6 cited

Averages along the Square Integers: $ℓ^{p}$ improving and Sparse Inequalities

Rui Han, Michael T Lacey, Fan Yang

Let $f \in ℓ^{2} (Z)$ . Define the average of $f$ over the square integers by $A_{N} f (x) := \frac{1}{N} \sum_{k = 1}^{N} f (x + k^{2})$ . We show that $A_{N}$ satisfies a local scale-fre…

stat.ME2019

Diagonally-Dominant Principal Component Analysis

Zheng Tracy Ke, Lingzhou Xue, Fan Yang

We consider the problem of decomposing a large covariance matrix into the sum of a low-rank matrix and a diagonally dominant matrix, and we call this problem the "Diagonally-Domina…

math.ST2019★ 11 cited

Spiked separable covariance matrices and principal components

Xiucai Ding, Fan Yang

We introduce a class of separable sample covariance matrices of the form $Q_{1} := A^{1/2} X B X^{*} A^{1/2} .$ Here $A$ …

Pure point spectrum for the Maryland model: a constructive proof

Averages along the Square Integers: ℓp improving and Sparse Inequalities

Diagonally-Dominant Principal Component Analysis

Spiked separable covariance matrices and principal components

Averages along the Square Integers: $ℓ^{p}$ improving and Sparse Inequalities