26 citations · 91 across the 20 of their papers we have counts for
27 papers
Universality for the extreme eigenvalues of Laplacian random matrices
Andrew Campbell, Kyle Luh, Sean O'Rourke
We study the eigenvalues of the random Laplacian matrix , where is a Wigner matrix with sub-Gaussian entries and the diagonal matrix contains the row sums of . Ou…
Linear Independence of Random Boolean Tensor Powers at the Dimension Threshold
Kyle Luh
Let be fixed and let \[ D(n,d) := \sum_{j=0}^{d} \binom{n-1}{j}. \] We show that if are independent uniform points of then unifor…
Rate of Convergence in Multiple SLE using Random Matrix Theory
Andrew Campbell, Kyle Luh, Vlad Margarint
We provide an order of convergence for a version of the Carathéodory convergence for the multiple SLE model with a Dyson Brownian motion driver towards its hydrodynamic limit, for…
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
Andrew Campbell, Kyle Luh, Sean O'Rourke +2
A Laplacian matrix is a real symmetric matrix whose row and column sums are zero. We investigate the limiting distribution of the largest eigenvalues of a Laplacian random matrix w…
Eigenvalue Gaps of Random Perturbations of Large Matrices
Kyle Luh, Ryan Vogel, Alan Yu
The current work applies some recent combinatorial tools due to Jain to control the eigenvalue gaps of a matrix where is deterministic, symmetric with large ope…
Robustness Implies Generalization via Data-Dependent Generalization Bounds
Kenji Kawaguchi, Zhun Deng, Kyle Luh +1
This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a…