Research

Research interests

Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation. Hongru Zhao, Jinwen Fu, and Tuan Pham. Preprint. Paper
On Validating Angular Power Spectral Models for the Stochastic Gravitational-Wave Background Without Distributional Assumptions. Sara Algeri, Xiangyu Zhang, Erik Floden, Hongru Zhao, Galin Jones, Vuk Mandic, and Jesse Miller. Submitted, Physical Review D (2025). Details
Allocation-Constrained Adaptive Design and Sequential Estimation: Theory and Application to Bradley–Terry–Davidson Models. Hongru Zhao. Submitted, Journal of Statistical Planning and Inference (2025). Details
Subspace Decompositions for Association Structure Learning in Multivariate Categorical Response Regression. Hongru Zhao, Aaron J. Molstad, and Adam J. Rothman. Preprint (2025) Details

Globally-Optimal Greedy Active Sequential Estimation. Xiaoou Li, and Hongru Zhao. IEEE Transactions on Information Theory 71, no. 5 (2025): 3871–3924. Paper
Distributed Algorithms for High-Dimensional Statistical Inference and Structure Learning with Heterogeneous Data. Hongru Zhao, and Xiaotong Shen. Statistica Sinica (2025). Paper
Convergence Analysis and Trajectory Comparison of Gradient Descent for Overparameterized Deep Linear Networks. Hongru Zhao, Jinchao Xu. Transactions on Machine Learning Research (2024) Paper
Exponential stability of the linear KdV-BBM equation. Kangsheng Liu, Zhuangyi Liu, and Hongru Zhao. Discrete and Continuous Dynamical Systems-B 29, no. 3 (2024): 1206-1216. Paper
Limiting empirical spectral distribution for products of rectangular matrices. Yongcheng Qi, and Hongru Zhao. Journal of Mathematical Analysis and Applications 502, no. 2 (2021): 125237. Paper

Testing models for angular power spectra: A distribution-free approach. Sara Algeri, Xiangyu Zhang, Erik Floden, Hongru Zhao, Galin L. Jones, Vuk Mandic, and Jesse Miller. Physical Review D (2025). Paper