Fourier series approximation of separable models

Journal of Computational and Applied Mathematics

Volumn 146, Issue 2, 2002, Pages 459-479

  Amato, U ^a   Antoniadis, A ^b   De Feis, I ^a  

^a CNR   (Italy)

^b UNIV GRENOBLE ALPES   (France)

Author keywords

Additive model; Fourier series; Generalized cross validation; Nonuniform Fourier transform; Random data design; Regularization; Smoothing data; Uniform data design

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS;

ALTERNATIVE METHODS;

FOURIER TRANSFORMS;

MODEL;

EID: 0037106118     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00398-9     Document Type: Article

References (33)

1. Adaptive wavelet series estimation in separable nonparametric regression models
2. Convergence for the regularized inversion of Forier series
3. Efficient matrix methods for the true least-squares approximation for structured multivariate data
4. On the fast Fourier transforms of functions with singularities
5. Fourier smoother and additive models
6. Estimating optimal transformations for multiple regression and correlation (with discussion)
7. Linear smoothers and additive models
8. Smoothing noisy data with spline functions
9. Recent results on the regularization of Fourier polynomials
10. Fast fourier transforms for nonequispaced data
11. Fast fourier transforms for nonequispaced data II
12. Fast fourier transforms for nonequispaced grids
13. On smoothing of approximate Fourier representations
14. A regularization method for discrete Fourier polynomials
15. Efficient estimation of additive nonparametric regression models
16. A kernel method of estimating structured nonparametric regression based on marginal integration
17. Renormalization and white noise approximation for nonparametric functional estimation
18. Kernel estimation of partial means
19. The regular Fourier matrices and nonuniform fast Fourier transforms
20. Fitting a bivariate additive model by local polynomial regression
21. Integrated mean squared error of a smoothing spline
22. A note on fast Fourier transforms for nonequispaced grids
23. Additive regression and other nonparametric models
24. The dimensionality reduction principle for generalized additive models
25. Smoothing inversion of Fourier series using generalized cross-validation
26. Nonparametric identification of nonlinear time series: Projections