2020/10/28 by Youngjoo Cho, Debashis Ghosh, Cho, Youngjoo +1
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #FOS: Mathematics #Medical Image Segmentation Techniques #Methodology (stat.ME) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2010.15009
openalex publication_date 2020/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.