6 papers
Weak Typicality of von Neumann Entanglement Entropy in Gaussian Boson Sampling
Hongru Zhao
We study the von Neumann entanglement entropy generated by a Haar distributed passive interferometer acting on equally squeezed input modes with fixed nonzero squeezing strengt…
Exact Moments of Gaussian Gram Hafnians Reveal an Threshold for Weak Anticoncentration
Hongru Zhao
Anticoncentration is central to hardness arguments for approximate sampling. In the independent Gaussian surrogate for collision free Gaussian boson sampling, the moment ratio stud…
Sharp Berry-Esseen Bounds for the Log Determinant of a Gaussian Sample Correlation Matrix
Hongru Zhao
Let be the Pearson sample correlation matrix formed from independent Gaussian observations in dimensions, and write . Under the null correlation $R…
On the Log Determinant of Sample Correlation Matrices under Gaussianity
Hongru Zhao
We prove a central limit theorem for the log determinant of a Gaussian Pearson sample correlation matrix as the dimension diverges. Only two conditions are imposed: the population…
Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation
Hongru Zhao, Jinwen Fu, Tuan Pham
Self-consuming generative models have received significant attention over the last few years. In this paper, we study a self-consuming generative model with heterogeneous preferenc…
Subspace decompositions for association structure learning in multivariate categorical response regression
Hongru Zhao, Aaron J. Molstad, Adam J. Rothman
Modeling the complex relationships between multiple categorical response variables as a function of predictors is a fundamental task in the analysis of categorical data. However, e…