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stat.ME2023
From Isotonic to Lipschitz Regression: A New Interpolative Perspective on Shape-restricted Estimation
Kenta Takatsu, Tianyu Zhang, Arun Kumar Kuchibhotla
This manuscript bridges nonparametric smoothness-based and shape-restricted estimation, which may appear as two disjoint paradigms in the field. The proposed approach is motivated…
stat.ME2022
Regression in Tensor Product Spaces by the Method of Sieves
Tianyu Zhang, Noah Simon
Estimation of a conditional mean (linking a set of features to an outcome of interest) is a fundamental statistical task. While there is an appeal to flexible nonparametric procedu…
stat.ME2021
An Online Projection Estimator for Nonparametric Regression in Reproducing Kernel Hilbert Spaces
Tianyu Zhang, Noah Simon
The goal of nonparametric regression is to recover an underlying regression function from noisy observations, under the assumption that the regression function belongs to a pre-spe…