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

Optimal global rates of convergence for nonparametric regression

C. Stone · 1982

Earlier work this paper cites.

Regularization of Inverse Problems

H. Engl, M. Hanke, and A. Neubauer · 2000

Earlier work this paper cites.

Best choices for regularization parameters in learning theory: on the bias-variance problem

F. Cucker and S. Smale · 2002

Earlier work this paper cites.

Kernel Methods for Pattern Analysis

N. Cristianini and J. Shawe-Taylor · 2004

Earlier work this paper cites.

Learning from examples as an inverse problem

E. De Vito, L. Rosasco, A. Caponnetto, and U. De Giovannini · 2005

Earlier work this paper cites.

Learning bounds for kernel regression using effective data dimensionality

Original

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Spectral algorithms for supervised learning

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Introduction to Nonparametric Estimation

A. Tsybakov · 2008

Later among the works it cites.

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Later among the works it cites.

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