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Volumn 137, Issue 3, 2007, Pages 829-840

Regression models for functional data by reproducing kernel Hilbert spaces methods

Author keywords

Functional data; RKHS; Statistical learning; Stochastic process

Indexed keywords


EID: 33750515938     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.06.011     Document Type: Article
Times cited : (89)

References (31)
  • 2
    • 0031153750 scopus 로고    scopus 로고
    • An approximated principal component prediction model for continuous-time stochastic process
    • Aguilera A.M., Ocãna F., and Valderama M.J. An approximated principal component prediction model for continuous-time stochastic process. Appl. Stochastic Models Data Anal. 13 (1997) 61-72
    • (1997) Appl. Stochastic Models Data Anal. , vol.13 , pp. 61-72
    • Aguilera, A.M.1    Ocãna, F.2    Valderama, M.J.3
  • 3
    • 0033206518 scopus 로고    scopus 로고
    • Stochastic modeling for evolution of stock-prices by means of principal component analysis
    • Aguilera A.M., Ocana F., and Valderama M.J. Stochastic modeling for evolution of stock-prices by means of principal component analysis. Appl. Stochastic Models Business Ind. 15 4 (1999) 227-234
    • (1999) Appl. Stochastic Models Business Ind. , vol.15 , Issue.4 , pp. 227-234
    • Aguilera, A.M.1    Ocana, F.2    Valderama, M.J.3
  • 4
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • Aronszajn N. Theory of reproducing kernels. Amer. Math. Soc. Trans. 63 (1950) 337-404
    • (1950) Amer. Math. Soc. Trans. , vol.63 , pp. 337-404
    • Aronszajn, N.1
  • 6
    • 6444240715 scopus 로고    scopus 로고
    • Estimation in generalized linear models for functional data via penalized likelihood
    • Cardot H., and Sarda P. Estimation in generalized linear models for functional data via penalized likelihood. J. Multivariate Anal. 92 (2005) 24-41
    • (2005) J. Multivariate Anal. , vol.92 , pp. 24-41
    • Cardot, H.1    Sarda, P.2
  • 8
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation
    • Craven P., and Wahba G. Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation. Numer. Math. 31 (1979) 377-403
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 9
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • Cucker F., and Smale S. On the mathematical foundations of learning. Bull. Amer. Math. Soc. 39 1 (2001) 1-49
    • (2001) Bull. Amer. Math. Soc. , vol.39 , Issue.1 , pp. 1-49
    • Cucker, F.1    Smale, S.2
  • 11
    • 2542635673 scopus 로고    scopus 로고
    • Principal component estimation of functional logistic regression: discussion of two different approaches
    • Escabias M., Aguilera A.M., and Valderama M.J. Principal component estimation of functional logistic regression: discussion of two different approaches. J. Nonparametric Statist. 16 3-4 (2004) 365-384
    • (2004) J. Nonparametric Statist. , vol.16 , Issue.3-4 , pp. 365-384
    • Escabias, M.1    Aguilera, A.M.2    Valderama, M.J.3
  • 12
    • 12444303319 scopus 로고    scopus 로고
    • Modelling environmental data by functional principal component logistic regression
    • Escabias M., Aguilera A.M., and Valderama M.J. Modelling environmental data by functional principal component logistic regression. Environmetrics 16 1 (2005) 95-107
    • (2005) Environmetrics , vol.16 , Issue.1 , pp. 95-107
    • Escabias, M.1    Aguilera, A.M.2    Valderama, M.J.3
  • 13
    • 0141989607 scopus 로고    scopus 로고
    • Curves discrimination: a nonparametric approach
    • Ferraty F., and Vieu P. Curves discrimination: a nonparametric approach. Comput. Statist. Data Anal. 44 (2003) 161-173
    • (2003) Comput. Statist. Data Anal. , vol.44 , pp. 161-173
    • Ferraty, F.1    Vieu, P.2
  • 14
    • 0842264210 scopus 로고    scopus 로고
    • Nonparametric models for functional data with application in regression, time series prediction and curve discrimination
    • Ferraty F., and Vieu P. Nonparametric models for functional data with application in regression, time series prediction and curve discrimination. J. Nonparametric Statist. 16 1-2 (2004) 111-125
    • (2004) J. Nonparametric Statist. , vol.16 , Issue.1-2 , pp. 111-125
    • Ferraty, F.1    Vieu, P.2
  • 15
    • 0002882706 scopus 로고
    • A fast Monte-Carlo cross-validation procedure for large least squares problems with noisy data
    • Girard D. A fast Monte-Carlo cross-validation procedure for large least squares problems with noisy data. Numer. Math. 56 (1989) 1-23
    • (1989) Numer. Math. , vol.56 , pp. 1-23
    • Girard, D.1
  • 16
    • 32044449925 scopus 로고
    • Generalized cross validation as a method for choosing a good ridge parameter
    • Golub G.H., Heath M., and Wahba G. Generalized cross validation as a method for choosing a good ridge parameter. Technometrics 21 (1979) 215-224
    • (1979) Technometrics , vol.21 , pp. 215-224
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 17
    • 0036020889 scopus 로고    scopus 로고
    • Generalized linear models with functional predictors
    • James G.M. Generalized linear models with functional predictors. J. Roy. Statist. Soc. Ser. B 64 3 (2002) 411-432
    • (2002) J. Roy. Statist. Soc. Ser. B , vol.64 , Issue.3 , pp. 411-432
    • James, G.M.1
  • 18
    • 0015000439 scopus 로고
    • Some results on Tchebycheffian spline functions
    • Kimeldorf G.S., and Wahba G. Some results on Tchebycheffian spline functions. J. Math. Anal. Appl. 33 (1971) 82-95
    • (1971) J. Math. Anal. Appl. , vol.33 , pp. 82-95
    • Kimeldorf, G.S.1    Wahba, G.2
  • 19
    • 0036230319 scopus 로고    scopus 로고
    • Learnability in Hilbert spaces with reproducing Kernels
    • Mendelson S. Learnability in Hilbert spaces with reproducing Kernels. J. Complexity 18 (2002) 152-170
    • (2002) J. Complexity , vol.18 , pp. 152-170
    • Mendelson, S.1
  • 20
    • 0000461110 scopus 로고
    • An approach to time series anlysis
    • Parzen E. An approach to time series anlysis. Ann. Math. Statist. 32 (1961) 951-989
    • (1961) Ann. Math. Statist. , vol.32 , pp. 951-989
    • Parzen, E.1
  • 21
    • 10144244015 scopus 로고    scopus 로고
    • PLS regression on a sochastic process
    • Preda C., and Saporta G. PLS regression on a sochastic process. Comput. Statist. Data Anal. 48 1 (2005) 149-158
    • (2005) Comput. Statist. Data Anal. , vol.48 , Issue.1 , pp. 149-158
    • Preda, C.1    Saporta, G.2
  • 24
    • 0037197639 scopus 로고    scopus 로고
    • Functional data analysis with application to periodically stimulated foetal heart rate data. I: functional regression
    • Ratcliffe S.J., Leader L.R., and Heller G.Z. Functional data analysis with application to periodically stimulated foetal heart rate data. I: functional regression. Statist. Med. 21 (2002) 1103-1114
    • (2002) Statist. Med. , vol.21 , pp. 1103-1114
    • Ratcliffe, S.J.1    Leader, L.R.2    Heller, G.Z.3
  • 25
    • 0037197606 scopus 로고    scopus 로고
    • Functional data analysis with application to periodically stimulated foetal heart rate data II: functional logistic regression
    • Ratcliffe S.J., Leader L.R., and Heller G.Z. Functional data analysis with application to periodically stimulated foetal heart rate data II: functional logistic regression. Statist. Med. 21 (2002) 1115-1127
    • (2002) Statist. Med. , vol.21 , pp. 1115-1127
    • Ratcliffe, S.J.1    Leader, L.R.2    Heller, G.Z.3
  • 28
    • 33750527177 scopus 로고    scopus 로고
    • Wahba, G., 1990. Spline models for observational data. CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia, vol. 59.
  • 29
    • 33750506555 scopus 로고    scopus 로고
    • Wahba, G., 2002. Soft and Hard Classification by Reproducing Kernel Hilbert Space Methods. Department of Statistics, University of Wisconsin. Technical Report 1067.
  • 30
    • 84899000819 scopus 로고    scopus 로고
    • The biais-variance tradeoff and the randomized GACV
    • Kearns M., Solla S., and Cohn D. (Eds), MIT Press, Cambridge
    • Wahba G., Lin X., Gao F., Xiang D., Klein R., and Klein B. The biais-variance tradeoff and the randomized GACV. In: Kearns M., Solla S., and Cohn D. (Eds). Advances in Information Processing Systems vol. 11 (1999), MIT Press, Cambridge 620-626
    • (1999) Advances in Information Processing Systems , vol.11 , pp. 620-626
    • Wahba, G.1    Lin, X.2    Gao, F.3    Xiang, D.4    Klein, R.5    Klein, B.6
  • 31
    • 21444449622 scopus 로고    scopus 로고
    • A generalized approximate cross validation for smoothing splines with non-Gaussian data
    • Xiang D., and Wahba G. A generalized approximate cross validation for smoothing splines with non-Gaussian data. Statist. Sinica 6 (1996) 675-692
    • (1996) Statist. Sinica , vol.6 , pp. 675-692
    • Xiang, D.1    Wahba, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.