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math.ST2026
Semiparametric Efficiency of Residual Correlation Testing under Gaussian Additive Noise Models
Yin Tang, Yanyuan Ma, Bing Li
This paper studies conditional independence testing under the Gaussian additive noise model (GANM), where two variables are modeled as nonlinear functions of covariates with indepe…
stat.ME2026
A Reproducing-Kernel-Based Nonparametric Test for Conditional Independence of Functional Data
Yin Tang, Bing Li
Conditional independence is a fundamental concept in many areas of statistical research, including, for example, sufficient dimension reduction, causal inference, and statistical g…
math.ST2026
On Sharpened Convergence Rate of Generalized Sliced Inverse Regression for Nonlinear Sufficient Dimension Reduction
Chak Fung Choi, Yin Tang, Bing Li
Generalized Sliced Inverse Regression (GSIR) is one of the most important methods for nonlinear sufficient dimension reduction. As shown in Li and Song (2017), it enjoys a converge…