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

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ID: 337437
2026
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Abstract
Abstract We propose a novel test for assessing partial effects in Fréchet regression on the Bures-Wasserstein manifold. Under the null hypothesis, we show that the statistic admits a degenerate V-statistic approximation whose limiting distribution is aweighted mixture of chi-squared random variables, with weights determined by the eigenvalues of an integral operator associated with a reproducing kernel Hilbert space (RKHS) kernel. We establish the asymptotic validity and consistency of the proposed test. Its finite-sample performance is examined through simulation studies.We apply the proposed test to study the effect of age, while controlling for other covariates, on gene co-expression structure in single-cell data.
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openalex_W4416516257 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Haotian Xu, Hongzhe Li
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Journal jurnal biometrika dan kependudukan
Year 2026
DOI
10.1093/biomet/asag064
URL
https://doi.org/10.1093/biomet/asag064
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