Fourier frequency adaptive regularization for smoothing data

DOI10.1016/S0377-0427(99)00114-4zbMath0964.65006MaRDI QIDQ1971814

Claudia Angelini, Daniela de Canditiis

Publication date: 26 June 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

waveletsconvergencecomparison of methodsnumerical examplesFourier seriesgeneralized cross validationdata smoothingadaptive regularizationoptimal regularization parameter

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items

POINTWISE CONVERGENCE OF THE WAVELET REGULARIZED ESTIMATORS

Cites Work

• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Convergence for the regularized inversion of Fourier series
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Stability of the Fourier Method
• Automatic Smoothing of the Log Periodogram
• Singularity detection and processing with wavelets
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