Author

Haoshu Xu

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Preprint Aug 2026

Inference and Uncertainty Quantification for Streaming $r$-PCA

A matching lower bound is proved, up to logarithmic factors, across both dense-tail and sparse-tail regimes under a mild nondegeneracy condition, which enables a high-dimensional Gaussian approximation for the general-rank subspace estimation error with an explicit limiting covariance.

Hao-Shu Xu, Hong-Zhe 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