Publications & Preprints

1. Microlocal analysis for spherical Radon transform: two nonstandard problems (with L. Nguyen).
   Inverse Problems 35(7):074001, 2019
2. Asymptotic distributions of largest Pearson correlation coefficients under dependent structures (with T. Jiang).
   Annals of Statistics 53(3):907–928, 2025
3. Lightspeed geometric dataset distance via sliced optimal transport (with H. Nguyen, K. Nguyen, N. Ho).
   International Conference on Machine Learning (ICML), 2025
4. Largest entries of high-dimensional sample covariance matrix under auto-regressive structure (with T. Jiang).
   Annals of Applied Probability (to appear)
5. Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives (with T. Jiang).
   Information and Inference: A Journal of the IMA (major revision)
6. Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation (with H. Zhao and J. Fu).
   JMLR (under review)
7. Detecting non-uniform patterns on high-dimensional hyperspheres (with T. Jiang).
   Annals of Applied Probability (reject & resubmit, resubmitted)
8. Maximum of sparsely equicorrelated Gaussian fields and applications (with J. Heiny, T. Jiang and Y. Qi).
   Annals of Applied Probability (to be submit)
9. Time-uniform bounds for iterated algorithms (with A. Rinaldo, P. Sarkar).
   preprint
10. A note on time-uniform concentration inequality for matrix products (with A. Rinaldo).
    preprint
11. Fluctuation of Riesz energy on the hyperspheres (with T. Jiang).
    Preprint
12. Optimal test for the compound symmetric correlation structure in ultra-high dimensions (with J. Fu, T. Jiang, W. Xiong).
    Preprint

Working papers

13. Efficient Elliptical Component Analysis I: Polyak-Ruppert averaging.
    Working paper
14. Efficient Elliptical Component Analysis II: adaptive learning rates and cross-validation theory.
    Working paper
15. Streamming heteroskedastic PCA.
    Working paper
16. Estimating the order of soft-max gating mixture-of-experts (with N. Ho and H. Nguyen).
    Working paper
17. Heavy-tailed U-statistics in high dimensions and applications (with J. Heiny and X. Hu).
    Working paper
18. On the detection threshold of the Packing test.
    Working paper