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Global optimization of the generalized cross-validation criterion
Statistics and Computing, 2000Generalized 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
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Generalized Cross Validation in variable selection with and without shrinkage [PDF]
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Maarten Jansen
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Fast generalized cross validation using Krylov subspace methods
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
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A note on generalized cross-validation with replicates
Statistics and Probability Letters, 1992Abstract 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
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