3 papers
stat.ML2026
Directional Kernel Mean Difference: A Fast Signed Statistic for Univariate Distribution Comparison
Shijie Zhong, Jiangfeng Fu
We introduce the Directional Kernel Mean Difference (DKMD), a signed statistic for univariate distribution comparison that preserves the direction of distributional shifts. Unlike…
stat.ME2026
Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model
Shijie Zhong, Huiyou Tan, Jiangfeng Fu
In hybrid uncertainty quantification, evaluating how aleatory sensitivities vary under epistemic uncertainty, referred to as conditional Sobol' indices, is typically hindered by th…
stat.ML2026
Hybrid Uncertainty Sensitivity Analysis Based on the HSIC for High-Dimensional Responses with Aleatory--Epistemic Separation
Shijie Zhong, Jiangfeng Fu, Pengfei Wei
Quantifying the influence of hybrid aleatory and epistemic uncertainties on high-dimensional system responses remains a major challenge in global sensitivity analysis (GSA). Existi…