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Fast Compact Algorithms and Software for Spline Smoothing

Howard L. Weinert (Autor)

Buch | Softcover

45 Seiten

2012 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-5495-3 (ISBN)

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Fast Compact Algorithms and Software for Spline Smoothing investigates algorithmic alternatives for computing cubic smoothing splines when the amount of smoothing is determined automatically by minimizing the generalized cross-validation score. These algorithms are based on Cholesky factorization, QR factorization, or the fast Fourier transform. All algorithms are implemented in MATLAB and are compared based on speed, memory use, and accuracy. An overall best algorithm is identified, which allows very large data sets to be processed quickly on a personal computer.

Introduction.- Cholesky Algorithm.- QR Algorithm.- FFT Algorithm.- Discrete Spline Smoothing.

Reihe/Serie	SpringerBriefs in Computer Science
Zusatzinfo	5 Illustrations, color; 2 Illustrations, black and white; VIII, 45 p. 7 illus., 5 illus. in color.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Cross-validation • Graduation • Interpolation • smoothing • Spline
ISBN-10	1-4614-5495-6 / 1461454956
ISBN-13	978-1-4614-5495-3 / 9781461454953
Zustand	Neuware