메뉴 건너뛰기




Volumn 15, Issue 1, 2003, Pages 77-92

PCA-based dimension reduction for splines

Author keywords

Computer experiments; Kriging; Principal components; Splines

Indexed keywords


EID: 0037294763     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485250306037     Document Type: Article
Times cited : (3)

References (30)
  • 1
    • 0001821367 scopus 로고
    • Models for multivariate data analysis
    • Physica, Heidelberg
    • Besse, P. (1994). Models for multivariate data analysis. COMPSTAT Proceedings. Physica, Heidelberg, pp. 271-285.
    • (1994) COMPSTAT Proceedings , pp. 271-285
    • Besse, P.1
  • 2
    • 0012270306 scopus 로고
    • Spline functions and optimal metric in linear principal component analysis
    • van Rijckevorsel, J. and de Leeuw, J. (Eds.). Wiley, New York
    • Besse, P. (1988). Spline functions and optimal metric in linear principal component analysis. In: van Rijckevorsel, J. and de Leeuw, J. (Eds.), Component and Correspondence Analysis. Wiley, New York, pp. 81-101.
    • (1988) Component and Correspondence Analysis , pp. 81-101
    • Besse, P.1
  • 3
    • 0001181674 scopus 로고
    • Principal components analysis of sampled functions
    • Besse, P. and Ramsay, J. (1986). Principal components analysis of sampled functions. Psychometrika, 51, 285-311.
    • (1986) Psychometrika , vol.51 , pp. 285-311
    • Besse, P.1    Ramsay, J.2
  • 4
    • 0012268334 scopus 로고
    • Discussion
    • Robinson, G. K. That BLUP is a good thing: The estimation of random effects. (with discussion)
    • Campbell, K. (1991). Discussion (pp. 32-34). In: Robinson, G. K. That BLUP is a good thing: The estimation of random effects. Statistical Science, 6, 15-51 (with discussion).
    • (1991) Statistical Science , vol.6 , pp. 15-51
    • Campbell, K.1
  • 7
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions with applications to the design and analysis of computer experiments
    • Currin, C., Mitchell, T., Morris, M. and Ylvisaker, D. (1991). Bayesian prediction of deterministic functions with applications to the design and analysis of computer experiments. J. Amer. Statist. Ass., 86, 953-963.
    • (1991) J. Amer. Statist. Ass. , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, T.2    Morris, M.3    Ylvisaker, D.4
  • 10
  • 12
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimisation of expensive black-box functions
    • Jones, D. R., Schonlau, M. and Welch, W. J. (1998). Efficient global optimisation of expensive black-box functions. J. Global opt., 13, 455-492.
    • (1998) J. Global Opt. , vol.13 , pp. 455-492
    • Jones, D.R.1    Schonlau, M.2    Welch, W.J.3
  • 13
    • 84887505391 scopus 로고
    • Displaying the important features of large collections of similar curves
    • Jones, M. C. and Rice, J. A. (1992). Displaying the important features of large collections of similar curves. The Amer. Statist., 46, 140-145.
    • (1992) The Amer. Statist. , vol.46 , pp. 140-145
    • Jones, M.C.1    Rice, J.A.2
  • 14
    • 0003290362 scopus 로고
    • The link between kriging and thin plate splines
    • Kelly, F. P. (Ed.), Ch. 24. Wiley, New York
    • Kent, J. T. and Mardia, K. V. (1994). The link between kriging and thin plate splines. In: Kelly, F. P. (Ed.), Probability, Statistics and Optimisation, Ch. 24. Wiley, New York.
    • (1994) Probability, Statistics and Optimisation
    • Kent, J.T.1    Mardia, K.V.2
  • 15
    • 0000406385 scopus 로고
    • A correspondence between Bayesian estimation of stochastic processes and smoothing by splines
    • Kimeldorf, G. S. and Wahba, G. (1970). A correspondence between Bayesian estimation of stochastic processes and smoothing by splines. Ann. Math. Stat., 41, 495-502.
    • (1970) Ann. Math. Stat. , vol.41 , pp. 495-502
    • Kimeldorf, G.S.1    Wahba, G.2
  • 16
    • 0015000439 scopus 로고
    • Some results on tchebycheffian spline functions
    • Kimeldorf, G. S. and Wahba, G. (1971). Some results on tchebycheffian spline functions. J. Math. Anal. Appl., 33, 82-95.
    • (1971) J. Math. Anal. Appl. , vol.33 , pp. 82-95
    • Kimeldorf, G.S.1    Wahba, G.2
  • 18
    • 0001812926 scopus 로고
    • Splines and kriging: Their formal equivalence
    • Syracuse University New York
    • Matheron, G. (1981). Splines and kriging: Their formal equivalence. Syracuse Univ. Geol. Contribution, 8, 77-96, Syracuse University New York.
    • (1981) Syracuse Univ. Geol. Contribution , vol.8 , pp. 77-96
    • Matheron, G.1
  • 22
    • 0001510664 scopus 로고    scopus 로고
    • Principal differential analysis: Data reduction by differential operators
    • Ramsay, J. O. (1996). Principal differential analysis: Data reduction by differential operators. J. R. Statist. Soc. B, 58, 495-508.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 495-508
    • Ramsay, J.O.1
  • 23
    • 0000872265 scopus 로고
    • Making robust the cross-validatory choice of smoothing parameter in spline smoothing regression
    • Robinson, T. and Moyeed, R. (1989). Making robust the cross-validatory choice of smoothing parameter in spline smoothing regression. Comm. Statist. -Theor. Meth., 18, 523-539.
    • (1989) Comm. Statist. -Theor. Meth. , vol.18 , pp. 523-539
    • Robinson, T.1    Moyeed, R.2
  • 24
    • 0030537857 scopus 로고    scopus 로고
    • Smoothed functional principal components analysis by choice of norm
    • Silverman, B. W. (1996). Smoothed functional principal components analysis by choice of norm. Ann. Statist., 24, 1-24.
    • (1996) Ann. Statist. , vol.24 , pp. 1-24
    • Silverman, B.W.1
  • 25
  • 26
    • 0002132869 scopus 로고
    • A note on smoothing splines as Bayesian estimates
    • van der Linde, A. (1993). A note on smoothing splines as Bayesian estimates. Statistics and Decisions, 11, 61-67.
    • (1993) Statistics and Decisions , vol.11 , pp. 61-67
    • Van der Linde, A.1
  • 27
    • 51249165748 scopus 로고
    • Splines from a Bayesian point of view
    • van der Linde, A. (1995). Splines from a Bayesian point of view. Test, 4, 63-81.
    • (1995) Test , vol.4 , pp. 63-81
    • Van der Linde, A.1
  • 29
    • 0012218277 scopus 로고
    • Comment on "geostatistics" by N. Cressie
    • Wahba, G. (1990b). Comment on "Geostatistics" by N.Cressie. The American Statistician, 44, 255-256.
    • (1990) The American Statistician , vol.44 , pp. 255-256
    • Wahba, G.1
  • 30
    • 0012271415 scopus 로고
    • Two techniques: Monotone spline transformations for dimension reduction in PCA and easy-to-generate metrics for PCA of sampled functions
    • van Rijchevorsel, J. and de Leeuw, J. (Eds.), Wiley, New York
    • Winsberg, S. (1988). Two techniques: Monotone spline transformations for dimension reduction in PCA and easy-to-generate metrics for PCA of sampled functions. In: van Rijchevorsel, J. and de Leeuw, J. (Eds.), Component and Correspondence Analysis. Wiley, New York.
    • (1988) Component and Correspondence Analysis
    • Winsberg, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.