Abstract
A characterization of smoothing splines is derived which leads to procedures using either locally defined bases or small support bases. Difficulties in trying to compute the latter for splines in tension are discussed. A smoothing algorithm which avoids these difficulties by using locally defined bases is presented.
Zusammenfassung
Eine Charakterisierung der „Smoothing Splines”, die zu Verfahren mit lokal definierten Basen oder Basen mit kleinen Trägern führt, wird hergeleitet. Die Schwierigkeit der rekursiven Berechnung der Basen mit kleinen Trägern für exponentielle Splinefunktionen wird beschrieben. Um diese Schwierigkeiten zu vermeiden, wird ein Glättalgorithmus, der lokal definierte Basen benützt, eingeführt.
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Pruess, S. An algorithm for computing smoothing splines in tension. Computing 19, 365–373 (1978). https://doi.org/10.1007/BF02252033
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DOI: https://doi.org/10.1007/BF02252033