2 papers
math.ST2026
Linear Functional Testing with General Loadings in Sparse Regression: Separation Rates and Computational Barriers
Jie Xie, Dongming Huang
We study the problem of testing in high-dimensional sparse linear regression with Gaussian random design and unknown design covariance. The loading vector …
math.ST2025
On the Optimality of Functional Sliced Inverse Regression
Rui Chen, Songtao Tian, Dongming Huang +2
In this paper, we prove that functional sliced inverse regression (FSIR) achieves the optimal (minimax) rate for estimating the central space in functional sufficient dimension red…