Semi-Supervised Deep Sobolev Regression: Estimation, Variable Selection and Beyond

Z Ding, C Duan, Y Jiao, JZ Yang - arXiv preprint arXiv:2401.04535, 2024 - arxiv.org
We propose SDORE, a semi-supervised deep Sobolev regressor, for the nonparametric
estimation of the underlying regression function and its gradient. SDORE employs deep …

Asymptotic Theory for Linear Functionals of Kernel Ridge Regression

R Tuo, L Zou - arXiv preprint arXiv:2403.04248, 2024 - arxiv.org
An asymptotic theory is established for linear functionals of the predictive function given by
kernel ridge regression, when the reproducing kernel Hilbert space is equivalent to a …