3 papers
math.PR2026
Extreme principal minors of Wishart and deformed GOE matrices
Zhaorui Dong, Tiefeng Jiang, Tuan Pham +1
We study the laws of large numbers for the largest eigenvalues among all principal minors of Wishart matrices and deformed GOE matrices. We propose a new method based on identifyin…
math.PR2026
Limiting spectral distributions of large consistent rank correlation matrices
Zhaorui Dong, Fang Han, Jianfeng Yao
We study random matrices whose entries are obtained by applying consistent rank correlations, such as Hoeffding's , pairwise to a high-dimensional random vector with mutually in…
cs.LG2025
Towards Quantifying the Hessian Structure of Neural Networks
Zhaorui Dong, Yushun Zhang, Jianfeng Yao +1
Empirical studies reported that the Hessian matrix of neural networks (NNs) exhibits a near-block-diagonal structure, yet its theoretical foundation remains unclear. In this work,…