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math.ST2022
Sliced Inverse Regression in Metric Spaces
Joni Virta, Kuang-Yao Lee, Lexin Li
In this article, we propose a general nonlinear sufficient dimension reduction (SDR) framework when both the predictor and response lie in some general metric spaces. We construct…
math.ST2013★ 78 cited
A general theory for nonlinear sufficient dimension reduction: Formulation and estimation
Kuang-Yao Lee, Bing Li, Francesca Chiaromonte
In this paper we introduce a general theory for nonlinear sufficient dimension reduction, and explore its ramifications and scope. This theory subsumes recent work employing reprod…