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math.ST2024
Nonparametric Regression in Dirichlet Spaces: A Random Obstacle Approach
Prem Talwai, David Simchi-Levi
In this paper, we consider nonparametric estimation over general Dirichlet metric measure spaces. Unlike the more commonly studied reproducing kernel Hilbert space, whose elements…
math.ST2022
Optimal Learning Rates for Regularized Least-Squares with a Fourier Capacity Condition
Prem Talwai, David Simchi-Levi
We derive minimax adaptive rates for a new, broad class of Tikhonov-regularized learning problems in Hilbert scales under general source conditions. Our analysis does not require t…