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math.ST2025
Structure-Preserving Nonlinear Sufficient Dimension Reduction for Tensors
Dianjun Lin, Bing Li, Lingzhou Xue
We introduce two nonlinear sufficient dimension reduction methods for regressions with tensor-valued predictors. Our goal is two-fold: the first is to preserve the tensor structure…
math.ST2025
Variable Selection for Additive Global Fréchet Regression
Haoyi Yang, Satarupa Bhattacharjee, Lingzhou Xue +1
We present a novel framework for variable selection in Fréchet regression with responses in general metric spaces, a setting increasingly relevant for analyzing non-Euclidean data…