Kernel regression, minimax rates and effective dimensionality: Beyond the regular case

DOI10.1142/S0219530519500258zbMath1443.62091arXiv1611.03979OpenAlexW2998868409MaRDI QIDQ3298576

Gilles Blanchard, Nicole Mücke

Publication date: 14 July 2020

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03979

zbMATH Keywords

kernel regressionminimax optimalityeigenvalue decay

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Minimax procedures in statistical decision theory (62C20) Inference from stochastic processes and spectral analysis (62M15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

Online gradient descent algorithms for functional data learning ⋮ Tikhonov regularization with oversmoothing penalty for nonlinear statistical inverse problems ⋮ Inverse learning in Hilbert scales

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