11 citations · 40 across the 12 of their papers we have counts for
12 papers
Free energy and spectral edge of the SYK model
Yukun He
We introduce a microscopic framework that gives the first rigorous derivation of the Schwinger--Dyson thermodynamics of the Sachdev--Ye--Kitaev model. For fixed, even interaction o…
Edge universality of sparse Erdős-Rényi digraphs
Yukun He
Let be the adjacency matrix of the Erdős-Rényi directed graph . We denote the eigenvalues of by , and $|λ_…
Spectral gap and edge universality of dense random regular graphs
Yukun He
Let be the adjacency matrix of a random -regular graph on vertices, and we denote its eigenvalues by . For ,…
Towards IID representation learning and its application on biomedical data
Jiqing Wu, Inti Zlobec, Maxime Lafarge +2
Due to the heterogeneity of real-world data, the widely accepted independent and identically distributed (IID) assumption has been criticized in recent studies on causality. In thi…
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs
Yukun He, Antti Knowles
We consider a class of sparse random matrices which includes the adjacency matrix of the Erdős-Rényi graph . We show that if $N^{\varepsilon} \leq Np \leq N^{1/3-…
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…
Isotropic self-consistent equations for mean-field random matrices
Yukun He, Antti Knowles, Ron Rosenthal
We present a simple and versatile method for deriving (an)isotropic local laws for general random matrices constructed from independent random variables. Our method is applicable t…
Mesoscopic eigenvalue statistics of Wigner matrices
Yukun He, Antti Knowles
We prove that the linear statistics of the eigenvalues of a Wigner matrix converge to a universal Gaussian process on all mesoscopic spectral scales, i.e. scales larger than the ty…