Research by Topic

High-Dimensional Statistics

Convex Reparameterization and Self-Concordant Algorithms for Multivariate Regression with Covariance Estimation

Hongru Zhao and Huiqian Feng

Preprint · 2026High-Dimensional StatisticsOptimization

Paper

Subspace Decompositions for Association Structure Learning in Multivariate Categorical Response Regression

Hongru Zhao, Aaron J. Molstad and Adam J. Rothman

Preprint · 2025High-Dimensional StatisticsStructure Learning

Paper

Distributed Algorithms for High-Dimensional Statistical Inference and Structure Learning with Heterogeneous Data

Hongru Zhao and Xiaotong Shen

Statistica Sinica · Forthcoming · 2025High-Dimensional StatisticsStructure LearningDistributed Inference

Paper

Statistical Inference and Experimental Design

A Counterexample to Karlin’s Conjectured Converse for Admissibility in Exponential Families

Hongru Zhao and Galin Jones

Preprint · 2026Statistical Decision Theory

Allocation-Constrained Adaptive Design and Sequential Estimation: Theory and Application to Bradley–Terry–Davidson Models

Hongru Zhao

Preprint · 2025Experimental DesignSequential Inference

Globally-Optimal Greedy Active Sequential Estimation

Xiaoou Li and Hongru Zhao

IEEE Transactions on Information Theory · 2025Experimental DesignSequential Inference

Paper

Statistical Learning, Generative AI, and Optimization

Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation

Hongru Zhao, Jinwen Fu and Tuan Pham

Preprint · 2025Dynamical SystemsGenerative AILearning from Human Feedback

Paper

Allocation-Constrained Adaptive Design and Sequential Estimation: Theory and Application to Bradley–Terry–Davidson Models

Hongru Zhao

Preprint · 2025Experimental DesignSequential Inference

Convergence Analysis and Trajectory Comparison of Gradient Descent for Overparameterized Deep Linear Networks

Hongru Zhao and Jinchao Xu

Transactions on Machine Learning Research · 2024Deep Learning TheoryOptimization

Paper

Random Matrix Theory

Sharp Berry–Esseen Bounds for the Log Determinant of a Gaussian Sample Correlation Matrix

Hongru Zhao

Preprint · 2026Random Matrix TheorySample Correlation Matrix

Paper

On the Log Determinant of Sample Correlation Matrices under Gaussianity

Hongru Zhao

Preprint · 2026Random Matrix TheorySample Correlation Matrix

Paper

Limiting empirical spectral distribution for products of rectangular matrices

Yongcheng Qi and Hongru Zhao

Journal of Mathematical Analysis and Applications · 2021Random Matrix TheoryProbability

Paper

Others

Exponential stability of the linear KdV-BBM equation

Kangsheng Liu, Zhuangyi Liu and Hongru Zhao

Discrete and Continuous Dynamical Systems–B · 2024Applied MathematicsPartial Differential Equations

Paper

Quantum Information Science

Quantum Sampling & Advantage

Local Anticoncentration for Gaussian Boson Sampling via Conditional Wishart Geometry

Hongru Zhao

Preprint · 2026Random Matrix TheoryAnticoncentrationGaussian Boson SamplingQuantum Advantage

Shifted Anticoncentration for Real Gram Hafnians and Symmetric Gaussian Hafnians

Hongru Zhao

Preprint · 2026Random Matrix TheoryAnticoncentrationGaussian Boson SamplingQuantum Advantage

Paper

Uniform Hiding of Haar Block Transpose Gram Matrices

Hongru Zhao

Preprint · 2026Random Matrix TheoryHaar–Gaussian ComparisonGaussian Boson SamplingQuantum Advantage

Paper

Exact Moments of Gaussian Gram Hafnians Reveal an $n^2/\log n$ Threshold for Weak Anticoncentration

Hongru Zhao

Preprint · 2026Random Matrix TheoryAnticoncentrationGaussian Boson SamplingQuantum Advantage

Paper

Quantum Information & Algorithms

Weak Typicality of von Neumann Entanglement Entropy in Gaussian Boson Sampling

Hongru Zhao

Preprint · 2026Random Matrix TheoryGaussian Boson SamplingQuantum Entanglement

Paper

Quantum Characterization & Inference

Optimal and Adaptive Design for Quantum Tomography

Hongru Zhao and R. Oliver VandenBerg

Preprint · 2026Experimental DesignQuantum Tomography

Astrostatistics

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 · 2026AstrostatisticsStochastic Gravitational-Wave Background

Paper

Validating Angular Power Spectral Models for the Stochastic Gravitational-Wave Background Without Distributional Assumptions

Xiangyu Zhang, Erik Floden, Hongru Zhao, Sara Algeri, Galin Jones, Vuk Mandic and Jesse Miller

Physical Review D · 2026AstrostatisticsStochastic Gravitational-Wave Background

Paper

Other Scientific Applications

Microstructure-sensitive modeling of foam concrete based on pore-scale effect quantification and nonlinear assessment of its multifunctional performance

Zhibo Zhang, Bixiong Li, Zhiwen Wang, Lianghui Li, Qingshun Nong and Hongru Zhao

Construction and Building Materials · 2026Scientific ApplicationsMaterials Modeling

Paper