Geodesic
Penalized Least Squares Fitting
Serdica Mathematical Journal, Tome 28 (2002) no. 4, pp. 329-348

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Bounds on the error of certain penalized least squares data fitting methods are derived. In addition to general results in a fairly abstract setting, more detailed results are included for several particularly interesting special cases, including splines in both one and several variables.
Keywords: Penalized Least Squares, Tikhonov Regularization, Spline Approximation 
von Golitschek, Manfred; Schumaker, Larry. Penalized Least Squares Fitting. Serdica Mathematical Journal, Tome 28 (2002) no. 4, pp. 329-348. http://geodesic.mathdoc.fr/item/SMJ2_2002_28_4_a4/
@article{SMJ2_2002_28_4_a4,
     author = {von Golitschek, Manfred and Schumaker, Larry},
     title = {Penalized {Least} {Squares} {Fitting}},
     journal = {Serdica Mathematical Journal},
     pages = {329--348},
     year = {2002},
     volume = {28},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2002_28_4_a4/}
}
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