Hongru Zhao
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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 GitHub

Subspace Decompositions for Association Structure Learning in Multivariate Categorical Data Analysis

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

Electronic Journal of Statistics · 2026 (20(2), 5200–5228)High-Dimensional StatisticsStructure Learning
Paper GitHub

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

Hongru Zhao and Xiaotong Shen

Statistica Sinica · 2026 (scheduled for 38(1), January 2028)High-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
GitHub

Globally-Optimal Greedy Active Sequential Estimation

Xiaoou Li and Hongru Zhao

IEEE Transactions on Information Theory · 2025Experimental DesignSequential Inference
Paper GitHub

Theoretical Foundations of AI

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

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 GitHub

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 Lean verified

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 & Computational Advantage

Local Anticoncentration for Gaussian Boson Sampling via Conditional Wishart Geometry

Hongru Zhao

Preprint · 2026Random Matrix TheoryAnticoncentrationGaussian Boson SamplingQuantum Advantage
Paper Lean verified

Shifted Anticoncentration for Real Gram Hafnians and Symmetric Gaussian Hafnians

Hongru Zhao

Preprint · 2026Random Matrix TheoryAnticoncentrationGaussian Boson SamplingQuantum Advantage
Paper Lean verified

Uniform Hiding and Two Routes to Relative Accuracy in Gaussian Boson Sampling

Hongru Zhao

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

Weak Typicality of von Neumann Entanglement Entropy in Gaussian Boson Sampling

Hongru Zhao

Preprint · 2026Random Matrix TheoryGaussian Boson SamplingQuantum Entanglement
Paper Lean verified

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 Lean verified

Quantum State Estimation

Minimax Quantum State Tomography with Periodic Clifford Measurements

Hongru Zhao

Preprint · 2026Minimax TheoryQuantum TomographyClifford Measurements
Paper Lean verified

Adaptive quantum tomography by least squares with optimal asymptotic covariance

Hongru Zhao and Robert Oliver VandenBerg

Preprint · 2026Experimental DesignQuantum TomographySequential Inference
Paper Lean verified

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