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Volumn 19, Issue 2, 2009, Pages 449-471

Bootstrap-based penalty choice for the lasso, achieving oracle performance

Author keywords

Adaptive inference; Bootstrap; M out of n bootstrap; Optimality properties; Prediction; Regression; Variable selection

Indexed keywords


EID: 68149141589     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (27)

References (17)
  • 1
    • 84874257732 scopus 로고
    • Better subset regression using the nonnegative garrote
    • Breiman, L. (1995). Better subset regression using the nonnegative garrote. Technometrics 37, 373-384.
    • (1995) Technometrics , vol.37 , pp. 373-384
    • Breiman, L.1
  • 2
    • 0035273106 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • Chen, S. B., Donoho, D. L. and Saunders, M. A. (2001). Atomic decomposition by basis pursuit. SIAM Rev. 43, 129-159.
    • (2001) SIAM Rev , vol.43 , pp. 129-159
    • Chen, S.B.1    Donoho, D.L.2    Saunders, M.A.3
  • 3
    • 33646365077 scopus 로고    scopus 로고
    • 1-norm solution is also the sparsest solution
    • 1-norm solution is also the sparsest solution. Comm. Pure Appl. Math. 59, 797-829.
    • (2006) Comm. Pure Appl. Math , vol.59 , pp. 797-829
    • Donoho, D.L.1
  • 4
    • 33744552752 scopus 로고    scopus 로고
    • 1-norm near-solution approximates the sparsest near-solution
    • 1-norm near-solution approximates the sparsest near-solution. Comm. Pure Appl. Math. 59, 907-934.
    • (2006) Comm. Pure Appl. Math , vol.59 , pp. 907-934
    • Donoho, D.L.1
  • 6
    • 0035504028 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decomposition
    • Donoho, D. L. and Huo, X. (2001). Uncertainty principles and ideal atomic decomposition. IEEE Trans. Inform. Theory 47, 2845-2862.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 2845-2862
    • Donoho, D.L.1    Huo, X.2
  • 8
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • Fan, J. and Li, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Amer. Statist. Assoc. 96, 1348-1360.
    • (2001) J. Amer. Statist. Assoc , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 10
    • 0032282297 scopus 로고    scopus 로고
    • Wavelet shrinkage denoising using the non-negative garrote
    • Gao, H.-Y. (1998). Wavelet shrinkage denoising using the non-negative garrote. J. Comput. Graph. Statist. 7, 469-488.
    • (1998) J. Comput. Graph. Statist , vol.7 , pp. 469-488
    • Gao, H.-Y.1
  • 11
    • 0034287156 scopus 로고    scopus 로고
    • Asymptotics for lasso-type estimators
    • Knight, K. and Fu, W. (2000). Asymptotics for lasso-type estimators. Ann. Statist. 28, 1356-1378.
    • (2000) Ann. Statist , vol.28 , pp. 1356-1378
    • Knight, K.1    Fu, W.2
  • 12
    • 33747163541 scopus 로고    scopus 로고
    • High-dimensional graphs and variable selection with the lasso
    • Meinshausen, N. and Biihlmann, P. (2006). High-dimensional graphs and variable selection with the lasso. Ann. Statist. 34, 1436-1462.
    • (2006) Ann. Statist , vol.34 , pp. 1436-1462
    • Meinshausen, N.1    Biihlmann, P.2
  • 15
    • 85194972808 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. B 58, 267-288.
    • (1996) J. Roy. Statist. Soc. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 16
    • 17644365765 scopus 로고    scopus 로고
    • Recovery of short, complex linear combinations via i\ minimization
    • Tropp, J. A. (2005). Recovery of short, complex linear combinations via i\ minimization. IEEE Trans. Inform. Theory 51, 1568-1570.
    • (2005) IEEE Trans. Inform. Theory , vol.51 , pp. 1568-1570
    • Tropp, J.A.1
  • 17
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive lasso and its oracle properties
    • Zou, H. (2006). The adaptive lasso and its oracle properties. J. Amer. Statist. Assoc. 101, 1418-1429.
    • (2006) J. Amer. Statist. Assoc , vol.101 , pp. 1418-1429
    • Zou, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.