English(EN) Test of partial effects for Frechet regression on Bures-Wasserstein manifolds

提出Bures-Wasserstein流形上Fréchet回归新统计检验方法

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-01 04:00

研究人员开发了一种新的统计检验方法，用于分析Fréchet回归中的偏效应，特别适用于位于Bures-Wasserstein流形上的数据。所提出的检验统计量在零假设下近似于V统计量，其极限分布是卡方变量的混合。该分布由与再生核希尔伯特空间核相关的积分算子的特征值决定。该研究验证了该检验的渐近性质和一致性，并通过模拟和在单细胞RNA测序数据上的应用来检验其有效性，以检查年龄对基因共表达结构的影响。 AI

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arXiv cs.LG TIER_1 English(EN) · Haoshu Xu, Hongzhe Li · 2026-09-01 04:00

Bures-Wasserstein 流形上 Frechet 回归的偏效应测试

arXiv:2506.23487v2 Announce Type: replace-cross Abstract: 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 ap…

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Bures-Wasserstein 流形上 Frechet 回归的偏效应测试

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