Bridging linearity-based and kernel-based sufficient dimension reduction
Methodology
2020-10-29 v1 Statistics Theory
Statistics Theory
Abstract
There has been a lot of interest in sufficient dimension reduction (SDR) methodologies as well as nonlinear extensions in the statistics literature. In this note, we use classical results regarding metric spaces and positive definite functions to link linear SDR procedures to their nonlinear counterparts.
Cite
@article{arxiv.2010.15009,
title = {Bridging linearity-based and kernel-based sufficient dimension reduction},
author = {Youngjoo Cho and Debashis Ghosh},
journal= {arXiv preprint arXiv:2010.15009},
year = {2020}
}