GCVPACK

GCVPACK - routines for generalized cross validation. These Fortran-77 subroutines provide building blocks for generalized cross-validation (GCV) calculations in data analysis and data smoothing including ridge regression, thin plate smoothing splines, deconvolution, smoothing of generalized linear models, and ill-posed problems. We present some of the types of problems for which GCV is a useful method of choosing a smoothing or regularization parameter and we describe the structure of the subroutines.


References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Seo, Dohyung; Ho, Jeffrey; Vemuri, Baba C.: Covariant image representation with applications to classification problems in medical imaging (2016)
  2. Chen, Chuanfa; Li, Yanyan; Cao, Xuewei; Dai, Honglei: Smooth surface modeling of DEMs based on a regularized least squares method of thin plate spline (2014)
  3. Lukas, Mark A.: Performance criteria and discrimination of extreme undersmoothing in nonparametric regression (2014)
  4. Gu, Chong: Smoothing spline ANOVA models (2013)
  5. Montegranario, Hebert; Espinosa, Jairo: A regularization approach for surface reconstruction from point clouds (2007)
  6. Klein, G. H.: Multifactorial descriptive modelling on irregular data designs (1995)
  7. Wahba, Grace; Wang, Yuedong; Gu, Chong; Klein, Ronald; Klein, Barbara: Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. (The 1994 Neyman Memorial Lecture) (1995)
  8. Dix, Julio G.; Ogden, Robert D.: An interpolation scheme with radial basis in Sobolev spaces (H^ s (R^ n)) (1994)
  9. Hansen, Per Christian: Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems (1994)
  10. Bates, Douglas; Reames, Fred; Wahba, Grace: Getting better contour plots with S and GCVPACK (1993)
  11. Laurent, Pierre Jean: Inf-convolution splines (1991)
  12. Bates, Douglas M.; Lindstrom, Mary J.; Wahba, Grace; Yandell, Brian S.: GCVPACK-routines for generalized cross validation (1987)
  13. Miller, John J.; Wegman, Edward J.: Vector function estimation using splines (1987)