Biometrika
Oct 27, 2026
Test of partial effects for Fréchet regression on Bures-Wasserstein manifolds
Authors
Hongzhe Li
Haoshu Xu
Research Topics
Machine Learning
Paper Information
-
Journal:
Biometrika -
DOI:
10.1093/biomet/asag064 -
Published:
October 27, 2026 -
Added to Tracker:
Oct 27, 2026
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.
Author Details
Hongzhe Li
AuthorHaoshu Xu
AuthorResearch Topics & Keywords
Machine Learning
Research AreaCitation Information
APA Format
Hongzhe Li
&
Haoshu Xu
(2026)
.
Test of partial effects for Fréchet regression on Bures-Wasserstein manifolds.
Biometrika
, 10.1093/biomet/asag064.
BibTeX Format
@article{paper1833,
title = { Test of partial effects for Fréchet regression on Bures-Wasserstein manifolds },
author = {
Hongzhe Li
and Haoshu Xu
},
journal = { Biometrika },
year = { 2026 },
doi = { 10.1093/biomet/asag064 },
url = { https://doi.org/10.1093/biomet/asag064 }
}