11 citations · 40 across the 12 of their papers we have counts for
5 papers · 1 filter
Efficient Two-Step Adversarial Defense for Deep Neural Networks
Ting-Jui Chang, Yukun He, Peng Li
In recent years, deep neural networks have demonstrated outstanding performance in many machine learning tasks. However, researchers have discovered that these state-of-the-art mod…
Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs
Yukun He, Antti Knowles, Matteo Marcozzi
We prove a local law for the adjacency matrix of the Erdős-Rényi graph in the supercritical regime where has with high probability no isolated…
Mesoscopic eigenvalue density correlations of Wigner matrices
Yukun He, Antti Knowles
We investigate to what extent the microscopic Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory remain valid on mesoscopic scales. To that end, w…
Diffusion Profile for Random Band Matrices: a Short Proof
Yukun He, Matteo Marcozzi
Let be a Hermitian random matrix whose entries are independent, centred random variables with variances , where $x, y \in (\mathbb Z/L\ma…
Mesoscopic linear statistics of Wigner matrices of mixed symmetry class
Yukun He
We prove a central limit theorem for the mesoscopic linear statistics of Wigner matrices satisfying and , where…