69 citations · 455 across the 44 of their papers we have counts for
7 papers · 1 filter
Long Random Matrices and Tensor Unfolding
Gérard Ben Arous, Daniel Zhengyu Huang, Jiaoyang Huang
In this paper, we consider the singular values and singular vectors of low rank perturbations of large rectangular random matrices, in the regime the matrix is "long": we allow the…
Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
We consider uniformly random lozenge tilings of simply connected polygons subject to a technical assumption on their limit shape. We show that the edge statistics around any point…
Edge Statistics for Lozenge Tilings of Polygons, I: Concentration of Height Function on Strip Domains
Jiaoyang Huang
In this paper we study uniformly random lozenge tilings of strip domains. Under the assumption that the limiting arctic boundary has at most one cusp, we prove a nearly optimal con…
Large Deviations Asymptotics of Rectangular Spherical Integral
Alice Guionnet, Jiaoyang Huang
In this article we study the Dyson Bessel process, which describes the evolution of singular values of rectangular matrix Brownian motions, and prove a large deviation principle fo…
Unscented Kalman Inversion: Efficient Gaussian Approximation to the Posterior Distribution
Daniel Z. Huang, Jiaoyang Huang
The unscented Kalman inversion (UKI) method presented in [1] is a general derivative-free approach for the inverse problem. UKI is particularly suitable for inverse problems where…
Improve Unscented Kalman Inversion With Low-Rank Approximation and Reduced-Order Model
Daniel Z. Huang, Jiaoyang Huang
The unscented Kalman inversion (UKI) presented in [1] is a general derivative-free approach to solving the inverse problem. UKI is particularly suitable for inverse problems where…
Spectrum of Random -regular Graphs Up to the Edge
Jiaoyang Huang, Horng-Tzer Yau
Consider the normalized adjacency matrices of random -regular graphs on vertices with fixed degree . We prove that, with probability for any…