메뉴 건너뛰기




Volumn 18, Issue 6, 2007, Pages 1572-1588

Semiparametric regression using student t processes

Author keywords

Expectation maximization (EM) algorithms; Inductive inference; Reproducing kernel Hilbert space (RKHS); Semiparametric regression; Student t process; Transductive inference

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; RANDOM PROCESSES;

EID: 36348951585     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.899736     Document Type: Article
Times cited : (8)

References (45)
  • 1
    • 58149211118 scopus 로고
    • On some characterization of the t-distribution
    • R. B. Arellano-Valle and H. Bolfarine, "On some characterization of the t-distribution," Statist. Probab. Lett., vol. 25, pp. 79-85, 1995.
    • (1995) Statist. Probab. Lett , vol.25 , pp. 79-85
    • Arellano-Valle, R.B.1    Bolfarine, H.2
  • 2
    • 28044436543 scopus 로고    scopus 로고
    • Bayesian inference in spherical linear models: Robustness and conjugate analysis
    • R. B. Arellano-Valle, G. del Pino, and P. Iglesias, "Bayesian inference in spherical linear models: Robustness and conjugate analysis," J. Multivariate Anal., vol. 97, pp. 179-197, 2006.
    • (2006) J. Multivariate Anal , vol.97 , pp. 179-197
    • Arellano-Valle, R.B.1    del Pino, G.2    Iglesias, P.3
  • 3
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn, "Theory of reproducing kernels," Trans. Amer. Math. Soc., vol. 68, pp. 337-404, 1950.
    • (1950) Trans. Amer. Math. Soc , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 6
    • 23044434528 scopus 로고    scopus 로고
    • On global-local artificial neural networks for function approximation
    • Jul
    • S. A. Billings and H.-L.Wei, "On global-local artificial neural networks for function approximation," IEEE Trans. Neural Netw., vol. 16, no. 4, pp. 862-874, Jul. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.4 , pp. 862-874
    • Billings, S.A.1    Wei, H.L.2
  • 9
    • 0034354040 scopus 로고    scopus 로고
    • Flexible empirical Bayes estimation for wavelets
    • M. Clyde and E. I. George, "Flexible empirical Bayes estimation for wavelets," J. Roy. Statist. Soc. Ser. B, vol. 62, no. 4, pp. 681-698, 2000.
    • (2000) J. Roy. Statist. Soc. Ser. B , vol.62 , Issue.4 , pp. 681-698
    • Clyde, M.1    George, E.I.2
  • 10
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. Ser. B vol. 39, no. 1, pp. 1-38, 1977.
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 11
    • 0034419669 scopus 로고    scopus 로고
    • Regularization networks and support vector machines
    • Berlin, Germany: Springer-Verlag
    • T. Evgeniou, M. Pontil, and T. Poggio, "Regularization networks and support vector machines," in Advances in Computational Mathematics Berlin, Germany: Springer-Verlag, 2000, vol. 13, pp. 1-50.
    • (2000) Advances in Computational Mathematics , vol.13 , pp. 1-50
    • Evgeniou, T.1    Pontil, M.2    Poggio, T.3
  • 13
    • 0141836275 scopus 로고    scopus 로고
    • Adaptive sparseness for supervised learning
    • Sep
    • M. Figueiredo, "Adaptive sparseness for supervised learning," IEEE Trans. Pattern Anal. Mach. Intell., vol. 25, no. 9, pp. 1150-1159, Sep. 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell , vol.25 , Issue.9 , pp. 1150-1159
    • Figueiredo, M.1
  • 14
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed. Baltimore, MD: The Johns Hopkins University Press
    • G. H. Golub and C. F. VanLoan, Matrix Computations, 3rd ed. Baltimore, MD: The Johns Hopkins University Press, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    VanLoan, C.F.2
  • 17
    • 0002714543 scopus 로고    scopus 로고
    • Making large-scale SVM learning practical
    • T. Joachims, B. Schölkopf, C. Burges, and A. Smola, Eds, Cambridge, MA: MIT Press
    • T. Joachims, B. Schölkopf, C. Burges, and A. Smola, Eds., "Making large-scale SVM learning practical," in Advances in Kernel Methods - Support Vector Learning. Cambridge, MA: MIT Press, 1999.
    • (1999) Advances in Kernel Methods - Support Vector Learning
  • 18
    • 0001938951 scopus 로고    scopus 로고
    • Transductive inference for text classification using support vector machines
    • T. Joachims, "Transductive inference for text classification using support vector machines," in Proc. 14th Int. Conf. Mach. Learn., 1999, pp. 200-209.
    • (1999) Proc. 14th Int. Conf. Mach. Learn , pp. 200-209
    • Joachims, T.1
  • 19
    • 0007164668 scopus 로고
    • Independent or uncorrelated disturbances in linear regression: An illustration of the difference
    • H. H. Kelejian and I. R. Prucha, "Independent or uncorrelated disturbances in linear regression: An illustration of the difference," Econom. Lett., vol. 19, pp. 717-726, 1985.
    • (1985) Econom. Lett , vol.19 , pp. 717-726
    • Kelejian, H.H.1    Prucha, I.R.2
  • 20
    • 0015000439 scopus 로고
    • Some results on Tchebychean spline functions
    • G. Kimeldorf and G. Wahba, "Some results on Tchebychean spline functions," J. Math. Anal. Appl., vol. 33, pp. 82-95, 1971.
    • (1971) J. Math. Anal. Appl , vol.33 , pp. 82-95
    • Kimeldorf, G.1    Wahba, G.2
  • 22
    • 0000217030 scopus 로고
    • Normal/independent distributions and their applications in robust regression
    • K. Lange and J. S. Sinsheimer, "Normal/independent distributions and their applications in robust regression," J. Comput. Graph. Statist. vol. 2, no. 2, pp. 175-198, 1993.
    • (1993) J. Comput. Graph. Statist , vol.2 , Issue.2 , pp. 175-198
    • Lange, K.1    Sinsheimer, J.S.2
  • 23
    • 84950441032 scopus 로고
    • Robust statistical modeling using the t distribution
    • K. L. Lange, R. J. A. Little, and J. M. G. Taylor, "Robust statistical modeling using the t distribution," J. Amer. Statist. Assoc. vol. 84, pp. 881-896, 1989.
    • (1989) J. Amer. Statist. Assoc , vol.84 , pp. 881-896
    • Lange, K.L.1    Little, R.J.A.2    Taylor, J.M.G.3
  • 25
    • 0000315742 scopus 로고
    • The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence
    • C. Liu and D. B. Rubin, "The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence," Biometrika, vol. 81, pp. 633-648, 1994.
    • (1994) Biometrika , vol.81 , pp. 633-648
    • Liu, C.1    Rubin, D.B.2
  • 28
    • 0000251971 scopus 로고
    • Maximum likelihood estimation via the ECM algorithm: A general framework
    • X. L. Meng and D. B. Rubin, "Maximum likelihood estimation via the ECM algorithm: A general framework," Biometrika, vol. 80, pp. 267-278, 1993.
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.L.1    Rubin, D.B.2
  • 30
    • 0002628667 scopus 로고    scopus 로고
    • Regression and classification using Gaussian process priors (with discussion)
    • R. M. Neal, J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Eds, Oxford, U.K, Oxford Univ. Press
    • R. M. Neal, J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Eds., "Regression and classification using Gaussian process priors (with discussion)," in Bayesian Statistics. Oxford, U.K.: Oxford Univ. Press, 1998, vol. 6, pp. 475-501.
    • (1998) Bayesian Statistics , vol.6 , pp. 475-501
  • 31
    • 0033886806 scopus 로고    scopus 로고
    • Text classification from labeled and unlabeled documents using EM
    • K. Nigam, A. K. McCallum, S. Thrun, and T. Mitchell, "Text classification from labeled and unlabeled documents using EM," Mach. Learn., vol. 39, no. 2/3, pp. 103-134, 2000.
    • (2000) Mach. Learn , vol.39 , Issue.2-3 , pp. 103-134
    • Nigam, K.1    McCallum, A.K.2    Thrun, S.3    Mitchell, T.4
  • 32
    • 0002503187 scopus 로고    scopus 로고
    • Uncertainty analysis and other inference tools for complex computer codes (with discussion)
    • A. O'Hagan, M. C. Kennedy, and J. E. Oakley, J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Eds, Oxford, U.K, Oxford Univ. Press
    • A. O'Hagan, M. C. Kennedy, and J. E. Oakley, J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Eds., "Uncertainty analysis and other inference tools for complex computer codes (with discussion)," in Bayesian Statistics. Oxford, U.K.: Oxford Univ. Press, 1999, vol. 6, pp. 503-524.
    • (1999) Bayesian Statistics , vol.6 , pp. 503-524
  • 33
    • 0000219347 scopus 로고
    • Exact and approximate posterior moments for a normal location parameter
    • L. R. Pericchi and A. F. M. Smith, "Exact and approximate posterior moments for a normal location parameter," J. Roy. Statist. Soc. Ser. B, vol. 54, no. 3, pp. 793-804, 1992.
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , Issue.3 , pp. 793-804
    • Pericchi, L.R.1    Smith, A.F.M.2
  • 35
    • 0026511708 scopus 로고
    • Multivariate data analysis applied to low-density polyethylene reactors
    • B. Skagerberg, J. F. MacGregor, and C. Kiparissides, "Multivariate data analysis applied to low-density polyethylene reactors," Chemometrics Intell. Lab. Syst., vol. 14, pp. 341-356, 1992.
    • (1992) Chemometrics Intell. Lab. Syst , vol.14 , pp. 341-356
    • Skagerberg, B.1    MacGregor, J.F.2    Kiparissides, C.3
  • 36
    • 36349022465 scopus 로고
    • Estimation of the parameters of a regression model with a multivariate T error variable
    • B. C. Sutradhar and M. M. Ali, "Estimation of the parameters of a regression model with a multivariate T error variable," Commun. Statist. - Theory Methods, vol. 71, pp. 400-405, 1976.
    • (1976) Commun. Statist. - Theory Methods , vol.71 , pp. 400-405
    • Sutradhar, B.C.1    Ali, M.M.2
  • 38
    • 0001224048 scopus 로고    scopus 로고
    • Sparse Bayesian learning and the relevance vector machine
    • M. E. Tipping, "Sparse Bayesian learning and the relevance vector machine," J. Mach. Learn. Res., vol. 1, pp. 211-244, 2001.
    • (2001) J. Mach. Learn. Res , vol.1 , pp. 211-244
    • Tipping, M.E.1
  • 41
    • 33746915070 scopus 로고    scopus 로고
    • On global-local artificial neural networks for function approximation
    • Sep
    • D. Wedge, D. Ingram, D. McLean, C. Mingham, and Z. Bandar, "On global-local artificial neural networks for function approximation," IEEE Trans. Neural Netw., vol. 17, no. 5, pp. 942-952, Sep. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.5 , pp. 942-952
    • Wedge, D.1    Ingram, D.2    McLean, D.3    Mingham, C.4    Bandar, Z.5
  • 42
    • 0242295767 scopus 로고    scopus 로고
    • Bayesian factor regression models in the "large p, small n" paradigm
    • M. West, J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith, and M. West, Eds, Oxford, U.K, Oxford Univ. Press
    • M. West, J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith, and M. West, Eds., "Bayesian factor regression models in the "large p, small n" paradigm," in Bayesian Statistics. Oxford, U.K.: Oxford Univ. Press, 2003, vol. 7, pp. 723-732.
    • (2003) Bayesian Statistics , vol.7 , pp. 723-732
  • 43
    • 0003017575 scopus 로고    scopus 로고
    • Prediction with Gaussian processes: From linear regression to linear prediction and beyond
    • C. K. I. Williams, M. Jordan, Ed, Cambridge, MA: MIT Press
    • C. K. I. Williams, M. Jordan, Ed., "Prediction with Gaussian processes: From linear regression to linear prediction and beyond," in Learning and Inference in Graphical Models. Cambridge, MA: MIT Press, 1999, pp. 599-621.
    • (1999) Learning and Inference in Graphical Models , pp. 599-621
  • 44
    • 0000723104 scopus 로고
    • Bayesian and non-Bayesian analysis of the regression model with multivariate student-t error terms
    • A. Zellner, "Bayesian and non-Bayesian analysis of the regression model with multivariate student-t error terms," J. Amer. Statist. Assoc., vol. 71, pp. 400-405, 1976.
    • (1976) J. Amer. Statist. Assoc , vol.71 , pp. 400-405
    • Zellner, A.1
  • 45
    • 0031098254 scopus 로고    scopus 로고
    • Using wavelet network in nonparametric estimation
    • Mar
    • Q. H. Zhang, "Using wavelet network in nonparametric estimation," IEEE Trans. Neural Netw., vol. 8, no. 2, pp. 227-236, Mar. 1997.
    • (1997) IEEE Trans. Neural Netw , vol.8 , Issue.2 , pp. 227-236
    • Zhang, Q.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.