2025
Minimax Optimal Nonsmooth Nonparametric Regression via Fractional Laplacian Eigenmaps
UAI 2025
We develop minimax optimal estimators for nonparametric regression methods when the true regression function lies in an $L_2$-fractional Sobolev space with order $s\in (0,1)$. This function class is a Hilbert space lying between the space of square-integrable functions and the first-order Sobolev sp