메뉴 건너뛰기




Volumn 34, Issue 5, 2006, Pages 2272-2297

Component selection and smoothing in multivariate nonparametric regression

Author keywords

Machine learning; Method of regularization; Model selection; Nonparametric classification; Nonparametric regression; Smoothing spline ANOVA

Indexed keywords


EID: 33847350805     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000000722     Document Type: Article
Times cited : (425)

References (23)
  • 1
    • 84874257732 scopus 로고
    • Better subset selection using the nonnegative garrote
    • MR1365720
    • BREIMAN, L. (1995). Better subset selection using the nonnegative garrote. Technometrics 37 373-384. MR1365720
    • (1995) Technometrics , vol.37 , pp. 373-384
    • BREIMAN, L.1
  • 2
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • MR1639094
    • CHEN, S., DONOHO, D. and SAUNDERS, M. (1998). Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20 33-61. MR1639094
    • (1998) SIAM J. Sci. Comput , vol.20 , pp. 33-61
    • CHEN, S.1    DONOHO, D.2    SAUNDERS, M.3
  • 3
    • 0000072755 scopus 로고
    • Fitting multivariate regression functions by interaction spline models
    • MR1224411
    • CHEN, Z. (1993). Fitting multivariate regression functions by interaction spline models. J. Roy. Statist. Soc. Ser. B 55 473-491. MR1224411
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 473-491
    • CHEN, Z.1
  • 4
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • MR0516581
    • CRAVEN, P. and WAHBA, G. (1979). Smoothing noisy data with spline functions. Numer. Math. 31 377-403. MR0516581
    • (1979) Numer. Math , vol.31 , pp. 377-403
    • CRAVEN, P.1    WAHBA, G.2
  • 5
    • 3242708140 scopus 로고    scopus 로고
    • Least angle regression (with discussion)
    • MR2060166
    • EFRON, B., HASTIE, T., JOHNSTONE, I. and TIBSHIRANI, R. (2004). Least angle regression (with discussion). Ann. Statist. 32 407-499. MR2060166
    • (2004) Ann. Statist , vol.32 , pp. 407-499
    • EFRON, B.1    HASTIE, T.2    JOHNSTONE, I.3    TIBSHIRANI, R.4
  • 6
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • MR1946581
    • FAN, J. and LI, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Amer. Statist. Assoc. 96 1348-1360. MR1946581
    • (2001) J. Amer. Statist. Assoc , vol.96 , pp. 1348-1360
    • FAN, J.1    LI, R.2
  • 7
    • 84952149204 scopus 로고
    • A statistical view of some chemometrics regression tools
    • FRANK, I. E. and FRIEDMAN, J. H. (1993). A statistical view of some chemometrics regression tools. Technometrics 35 109-148.
    • (1993) Technometrics , vol.35 , pp. 109-148
    • FRANK, I.E.1    FRIEDMAN, J.H.2
  • 8
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines (with discussion)
    • MR1091842
    • FRIEDMAN, J. H. (1991). Multivariate adaptive regression splines (with discussion). Ann. Statist. 19 1-141. MR1091842
    • (1991) Ann. Statist , vol.19 , pp. 1-141
    • FRIEDMAN, J.H.1
  • 9
    • 21144479615 scopus 로고
    • Diagnostics for nonparametric regression models with additive terms
    • GU, C. (1992). Diagnostics for nonparametric regression models with additive terms. J. Amer. Statist. Assoc. 87 1051-1058.
    • (1992) J. Amer. Statist. Assoc , vol.87 , pp. 1051-1058
    • GU, C.1
  • 10
    • 33847350589 scopus 로고    scopus 로고
    • GU, C. (2002). Smoothing Spline ANOVA Models. Springer, Berlin. MR1876599
    • GU, C. (2002). Smoothing Spline ANOVA Models. Springer, Berlin. MR1876599
  • 11
    • 0036643063 scopus 로고    scopus 로고
    • Structural modeling with sparse kernels
    • GUNN, S. R. and KANDOLA, J. S. (2002). Structural modeling with sparse kernels. Machine Learning 48 137-163.
    • (2002) Machine Learning , vol.48 , pp. 137-163
    • GUNN, S.R.1    KANDOLA, J.S.2
  • 12
    • 4944259966 scopus 로고    scopus 로고
    • Inference after model selection
    • MR2090908
    • SHEN, X., HUANG, H. and YE, J. (2004). Inference after model selection. J. Amer. Statist. Assoc. 99 751-762. MR2090908
    • (2004) J. Amer. Statist. Assoc , vol.99 , pp. 751-762
    • SHEN, X.1    HUANG, H.2    YE, J.3
  • 13
    • 0036489055 scopus 로고    scopus 로고
    • Adaptive model selection
    • MR1947281
    • SHEN, X. and YE, J. (2002). Adaptive model selection. J. Amer. Statist. Assoc. 97 210-221. MR1947281
    • (2002) J. Amer. Statist. Assoc , vol.97 , pp. 210-221
    • SHEN, X.1    YE, J.2
  • 14
    • 33847392875 scopus 로고    scopus 로고
    • TAPIA, R. and THOMPSON, J. (1978). Nonparametric Probability Density Estimation. Johns Hopkins Univ. Press, Baltimore. MR0502724
    • TAPIA, R. and THOMPSON, J. (1978). Nonparametric Probability Density Estimation. Johns Hopkins Univ. Press, Baltimore. MR0502724
  • 15
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • MR1379242
    • TIBSHIRANI, R. J. (1996). Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58 267-288. MR1379242
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , pp. 267-288
    • TIBSHIRANI, R.J.1
  • 16
    • 0008286966 scopus 로고
    • Natural spline functions: Their associated eigenvalue problem
    • MR0716477
    • UTRERAS, F. (1983). Natural spline functions: Their associated eigenvalue problem. Numer. Math. 42 107-117. MR0716477
    • (1983) Numer. Math , vol.42 , pp. 107-117
    • UTRERAS, F.1
  • 19
    • 33847339695 scopus 로고    scopus 로고
    • WAHBA, G. (1990). Spline Models for Observational Data. SIAM, Philadelphia. MR1045442
    • WAHBA, G. (1990). Spline Models for Observational Data. SIAM, Philadelphia. MR1045442
  • 20
    • 33847356873 scopus 로고    scopus 로고
    • 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. MR1389856
    • 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. MR1389856
  • 21
    • 0037352633 scopus 로고    scopus 로고
    • Bayesian variable selection and model averaging in high-dimensional multinomial nonparametric regression
    • MR1965210
    • YAU, P., KOHN, R. and WOOD, S. (2003). Bayesian variable selection and model averaging in high-dimensional multinomial nonparametric regression. J. Comput. Graph. Statist. 12 23-54. MR1965210
    • (2003) J. Comput. Graph. Statist , vol.12 , pp. 23-54
    • YAU, P.1    KOHN, R.2    WOOD, S.3
  • 22
    • 0032351389 scopus 로고    scopus 로고
    • On measuring and correcting the effects of data mining and model selection
    • MR1614596
    • YE, J. (1998). On measuring and correcting the effects of data mining and model selection. J. Amer. Statist. Assoc. 93 120-131. MR1614596
    • (1998) J. Amer. Statist. Assoc , vol.93 , pp. 120-131
    • YE, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.