Concentration inequalities for cross-validation in scattered data approximation
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Publication:2120815
DOI10.1016/j.jat.2022.105715OpenAlexW3199202651MaRDI QIDQ2120815
Publication date: 1 April 2022
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13790
model selectioncross-validationscattered data approximationconcentration inequalitiesparameter choice
Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Hypothesis testing in multivariate analysis (62H15) Multidimensional problems (41A63) Spline approximation (41A15)
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- Efficient algorithms for robust generalized cross-validation spline smoothing
- Breaking the curse for uniform approximation in Hilbert spaces via Monte Carlo methods
- Fast cross-validation in harmonic approximation
- On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization
- Efficient computation for Whittaker-Henderson smoothing
- Asymptotic optimality of \(C_ L\) and generalized cross-validation in ridge regression with application to spline smoothing
- Laws of the iterated logarithm for order statistics of uniform spacings
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A distribution-free theory of nonparametric regression
- Smoothing inversion of Fourier series using generalized cross-validation
- Adaptive kernel methods using the balancing principle
- Manifold approximation by moving least-squares projection (MMLS)
- Fast generalized cross validation using Krylov subspace methods
- Regularization of statistical inverse problems and the Bakushinskiĭ veto
- Random ε-nets and embeddings in lN∞
- Robust generalized cross-validation for choosing the regularization parameter
- Support Vector Machines
- Regularization independent of the noise level: an analysis of quasi-optimality
- On the lengths of the pieces of a stick broken at random
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Element‐free Galerkin methods
- The quasi-optimality criterion in the linear functional strategy
- 10.1162/jmlr.2003.3.4-5.621