Author

Hongzhe Li

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Preprint Aug 2026

Inference and Uncertainty Quantification for Streaming $r$-PCA

We address two open questions in streaming PCA via Oja's algorithm: sharp operator-norm convergence for general rank under sub-Gaussian data, and distributional inference for the resulting subspace estimator. Existing convergence analyses, even in the rank-one case, either assume bounded data or leave non-vanishing rem...

Haoshu Xu, Hongzhe Li · 0 citations

#machine learning Jun 2025

Test of partial effects for Frechet regression on Bures-Wasserstein manifolds

We propose a novel test for assessing partial effects in Fr\'echet regression with responses lying on the Bures-Wasserstein manifold. Under the null hypothesis, we show that the statistic admits a degenerate V-statistic approximation whose limiting distribution is a weighted mixture of chi-squared random variables, wit...

Haoshu Xu, Hongzhe Li · arXiv.org · 3 citations