메뉴 건너뛰기




Volumn 65, Issue 1, 2003, Pages 95-114

Thin plate regression splines

Author keywords

Generalized additive model; Regression spline; Thin plate spline

Indexed keywords


EID: 0141576514     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00374     Document Type: Review
Times cited : (1782)

References (24)
  • 1
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • eds B. N. Petrov and F. Csáki. Budapest: Akadémiai Kiadó
    • Akaike, H. (1973) Information theory and an extension of the maximum likelihood principle. In Proc. 2nd Int. Symp. Information Theory (eds B. N. Petrov and F. Csáki), pp. 267-281. Budapest: Akadémiai Kiadó.
    • (1973) Proc. 2nd Int. Symp. Information Theory , pp. 267-281
    • Akaike, H.1
  • 2
    • 0031461895 scopus 로고    scopus 로고
    • Improving the precision of the daily egg production method using generalized additive models
    • Borchers, D. L., Buckland, S. T., Friede, I. G. and Ahmadi, S. (1997) Improving the precision of the daily egg production method using generalized additive models. Can. J. Fish. Aq. Sci., 54, 2727-2742.
    • (1997) Can. J. Fish. Aq. Sci. , vol.54 , pp. 2727-2742
    • Borchers, D.L.1    Buckland, S.T.2    Friede, I.G.3    Ahmadi, S.4
  • 3
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven, P. and Wahba, G. (1979) Smoothing noisy data with spline functions. Numer. Math., 31, 377-403.
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 4
    • 0003424372 scopus 로고    scopus 로고
    • Philadelphia: Society for Industrial and Applied Mathematics
    • Demmel, J. (1997) Applied Numerical Linear Algebra. Philadelphia: Society for Industrial and Applied Mathematics.
    • (1997) Applied Numerical Linear Algebra
    • Demmel, J.1
  • 5
    • 0001935440 scopus 로고
    • Splines minimizing rotation-invariant semi-norms in Solobev spaces
    • Berlin: Springer
    • Duchon, J. (1977) Splines minimizing rotation-invariant semi-norms in Solobev spaces. In Construction Theory of Functions of Several Variables. Berlin: Springer.
    • (1977) Construction Theory of Functions of Several Variables
    • Duchon, J.1
  • 6
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • Eilers, P. H. C. and Marx, B. D. (1996) Flexible smoothing with B-splines and penalties. Statist. Sci., 11, 89-121.
    • (1996) Statist. Sci. , vol.11 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 10
    • 0001003992 scopus 로고
    • Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method
    • Gu, C. and Wahba, G. (1991) Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method. SIAM J. Sci. Statist. Comput., 12, 383-398.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 383-398
    • Gu, C.1    Wahba, G.2
  • 11
    • 0000279744 scopus 로고
    • Semiparametric analysis of variance with tensor product thin plate splines
    • _ (1993) Semiparametric analysis of variance with tensor product thin plate splines. J. R. Statist. Soc. B, 55, 353-368.
    • (1993) J. R. Statist. Soc. B , vol.55 , pp. 353-368
  • 13
    • 0002970891 scopus 로고
    • Smoothing noisy data with spline functions
    • Hutchinson, M. F. and de Hoog, F. R. (1985) Smoothing noisy data with spline functions. Numer. Math., 47, 99-106.
    • (1985) Numer. Math. , vol.47 , pp. 99-106
    • Hutchinson, M.F.1    De Hoog, F.R.2
  • 14
    • 0038182862 scopus 로고
    • Discussion on 'Some aspects of the spline smoothing approach to non-parametric regression curve fitting' (by B. W. Silverman)
    • Parker, R. L. and Rice, J. A. (1985) Discussion on 'Some aspects of the spline smoothing approach to non-parametric regression curve fitting' (by B. W. Silverman). J. R. Statist. Soc. B, 47, 40-42.
    • (1985) J. R. Statist. Soc. B , vol.47 , pp. 40-42
    • Parker, R.L.1    Rice, J.A.2
  • 15
    • 0001995852 scopus 로고
    • Some aspects of the spline smoothing approach to non-parametric regression curve fitting
    • Silverman, B. W. (1985) Some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion). J. R. Statist. Soc. B, 47, 1-52.
    • (1985) J. R. Statist. Soc. B , vol.47 , pp. 1-52
    • Silverman, B.W.1
  • 16
    • 0002493574 scopus 로고    scopus 로고
    • Sparse greedy matrix approximation for machine learning
    • San Francisco: Morgan Kaufmann
    • Smola, A. J. and Schölkopf, B. (2000) Sparse greedy matrix approximation for machine learning. In Proc. 17th Int. Conf. Machine Learning. San Francisco: Morgan Kaufmann.
    • (2000) Proc. 17th Int. Conf. Machine Learning
    • Smola, A.J.1    Schölkopf, B.2
  • 17
    • 0005173689 scopus 로고
    • Spline bases, regularization, and generalized cross validation for solving approximation problems with large quantities of noisy data
    • ed. W. Cheney. New York: Academic Press
    • Wahba, G. (1980) Spline bases, regularization, and generalized cross validation for solving approximation problems with large quantities of noisy data. In Approximation Theory III (ed. W. Cheney), pp. 905-912. New York: Academic Press.
    • (1980) Approximation Theory III , pp. 905-912
    • Wahba, G.1
  • 18
    • 0000939344 scopus 로고
    • Bayesian "confidence intervals" for the cross-validated smoothing spline
    • _ (1983) Bayesian "confidence intervals" for the cross-validated smoothing spline. J. R. Statist. Soc. B, 45, 133-150.
    • (1983) J. R. Statist. Soc. B , vol.45 , pp. 133-150
  • 19
    • 0003241881 scopus 로고
    • Spline models for observational data
    • _ (1990) Spline models for observational data. CBMS-NSF Regl Conf. Ser. Appl. Math., 59.
    • (1990) CBMS-NSF Regl Conf. Ser. Appl. Math. , vol.59
  • 20
    • 0041865172 scopus 로고
    • Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy
    • Wahba, G., Wang, Y., Gu, C., Klein, R. and Klein, B. (1995) Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. Ann. Statist., 23, 1865-1895.
    • (1995) Ann. Statist. , vol.23 , pp. 1865-1895
    • Wahba, G.1    Wang, Y.2    Gu, C.3    Klein, R.4    Klein, B.5
  • 22
    • 84899010839 scopus 로고    scopus 로고
    • Using the Nyström method to speed up kernel machines
    • eds T. K. Leen and T. G. Diettrich. Cambridge: MIT Press
    • Williams, C. K. I. and Seeger, M. (2001) Using the Nyström method to speed up kernel machines. In Advances in Neural Information Processing Systems, vol. 13 (eds T. K. Leen and T. G. Diettrich). Cambridge: MIT Press.
    • (2001) Advances in Neural Information Processing Systems , vol.13
    • Williams, C.K.I.1    Seeger, M.2
  • 23
    • 0034364945 scopus 로고    scopus 로고
    • Modelling and smoothing parameter estimation with multiple quadratic penalties
    • Wood, S. N. (2000) Modelling and smoothing parameter estimation with multiple quadratic penalties. J. R. Statist. Soc. B, 62, 413-428.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 413-428
    • Wood, S.N.1
  • 24
    • 1842665179 scopus 로고    scopus 로고
    • Spatially adaptive regression splines and accurate knot selection schemes
    • Zhou, S. and Shen, X. (2001) Spatially adaptive regression splines and accurate knot selection schemes. J. Am. Statist. Ass., 96, 247-259.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 247-259
    • Zhou, S.1    Shen, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.