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L-surface and V-valley for multi-dimensional smoothing parameter selection
Frasso, Gianluca; Eilers, Paul H.C.
2013In Muggeo, Vito M.R.; Capursi, Vincenza; Boscaino, Giovanni et al. (Eds.) 28th International Workshop on Statistical Modelling, Palermo, Italy, 2013, Proceedings
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Keywords :
L-surface; penalties; tensor product P-splines; V-valley
Abstract :
[en] Multi-dimensional smoothing applications require the selection of a vector of smoothing parameters. Standard procedures can be computational demanding and tend to under smooth the observed measurements when noise correlation is present. The L-surface is an attractive two-dimensional generalization of the L-curve procedure for optimal smoothing. It preserves all the desirable feature of its uni-dimensional counterpart. However, one has to locate the point of maximal curvature of the surface, which is not easy. We introduce the V-valley as a simplified procedure that replaces maximum curvature by a distance to be minimized.
Disciplines :
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Author, co-author :
Frasso, Gianluca ;  Université de Liège > Faculté des sciences sociales > Méthodes quantitatives en sciences sociales
Eilers, Paul H.C.;  Erasmus Medical Center - Erasmus Universiteit Rotterdam - EUR > Biostatistics
Language :
English
Title :
L-surface and V-valley for multi-dimensional smoothing parameter selection
Publication date :
July 2013
Event name :
28th International Workshop on Statistical Modelling
Event date :
From 8/07/2013 to 12/07/2013
Audience :
International
Main work title :
28th International Workshop on Statistical Modelling, Palermo, Italy, 2013, Proceedings
Editor :
Muggeo, Vito M.R.
Capursi, Vincenza
Boscaino, Giovanni
Lovison, Gianfranco
ISBN/EAN :
978-88-96251-47-8
Peer reviewed :
Peer reviewed
Available on ORBi :
since 23 November 2015

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