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Global optimization of the generalized cross-validation criterion

Statistics and Computing, 2000
Generalized cross-validation is a method for choosing the smoothing parameter in smoothing splines and related regularization problems. This method requires the global minimization of the generalized cross-validation function. In this paper an algorithm based on interval analysis is presented to find the globally optimal value for the smoothing ...
Mohsen Mohammadzadeh
exaly   +2 more sources

Generalized Cross Validation in variable selection with and without shrinkage [PDF]

open access: possibleJournal of Statistical Planning and Inference, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maarten Jansen
exaly   +3 more sources

Fast generalized cross validation using Krylov subspace methods

open access: yesNumerical Algorithms, 2008
The key step of the generalized cross-validation (GCV) method, used in a smoothing spline fitting of noisy data, is the computation of the optimal parameter \(\lambda \) by minimization of the GCV function \[ \text{GCV}(\lambda )= n\, {z^T (Q+\lambda I)^{-2} z \over [ \text{tr}\, ((Q+\lambda I)^{-1})]^2}, \] for the influence matrix \(Q\) and the ...
Roger B. Sidje   +2 more
openaire   +4 more sources

A note on generalized cross-validation with replicates

Statistics and Probability Letters, 1992
Abstract Generalized cross-validation (GCV) is a popular method for choosing the smoothing parameter in generalized spline smoothing when there are independent errors with common unknown variance. When data points are replicated, one can choose the smoothing parameter by minimizing one of three functions: the GCV score computed from the averaged ...
Chong Gu, Nancy E. Heckman, Grace Wahba
exaly   +3 more sources

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