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Volumn 1, Issue , 2007, Pages 169-194

Sparsity oracle inequalities for the Lasso

Author keywords

Adaptive estimation; Aggregation; Dimension reduction; Lasso; Mutual coherence; Nonparametric regression; Oracle inequalities; Penalized least squares; Sparsity

Indexed keywords


EID: 50849114939     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-EJS008     Document Type: Article
Times cited : (288)

References (29)
  • 1
    • 33746242092 scopus 로고    scopus 로고
    • Adapting to unknown sparsity by controlling the False Discovery Rate
    • Abramovich, F., Benjamini, Y., Donoho, D.L. and Johnstone, I.M., (2006). Adapting to unknown sparsity by controlling the False Discovery Rate. Annals of Statistics 34(2) 584-653.
    • (2006) Annals of Statistics , vol.34 , Issue.2 , pp. 584-653
    • Abramovich, F.1    Benjamini, Y.2    Donoho, D.L.3    Johnstone, I.M.4
  • 3
    • 0036997840 scopus 로고    scopus 로고
    • Model selection for regression on a random design
    • Baraud, Y. (2002). Model selection for regression on a random design. ESAIM Probability & Statistics 7 127-146.
    • (2002) ESAIM Probability & Statistics , vol.7 , pp. 127-146
    • Baraud, Y.1
  • 4
    • 33645283113 scopus 로고    scopus 로고
    • Model selection for Gaussian regression with random design
    • Birgé, L. (2004). Model selection for Gaussian regression with random design. Bernoulli 10 1039-1051.
    • (2004) Bernoulli , vol.10 , pp. 1039-1051
    • Birgé, L.1
  • 9
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • Donoho, D.L. and Johnstone, I.M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika 81 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 11
    • 0036032635 scopus 로고    scopus 로고
    • Reconstruction of sparse vectors in white Gaussian noise
    • Golubev, G.K. (2002). Reconstruction of sparse vectors in white Gaussian noise. Problems of Information Transmission 38(1) 65-79.
    • (2002) Problems of Information Transmission , vol.38 , Issue.1 , pp. 65-79
    • Golubev, G.K.1
  • 12
    • 85035264584 scopus 로고    scopus 로고
    • Persistency in high dimensional linear predictor-selection and the virtue of over-parametrization
    • Greenshtein, E. and Ritov, Y. (2004). Persistency in high dimensional linear predictor-selection and the virtue of over-parametrization. Bernoulli 10971-988.
    • (2004) Bernoulli , pp. 10971-10988
    • Greenshtein, E.1    Ritov, Y.2
  • 14
    • 0034362823 scopus 로고    scopus 로고
    • Functional aggregation for nonparametric estimation
    • Juditsky, A. and Nemirovski, A. (2000). Functional aggregation for nonparametric estimation. Annals of Statistics 28 681-712.
    • (2000) Annals of Statistics , vol.28 , pp. 681-712
    • Juditsky, A.1    Nemirovski, A.2
  • 15
    • 84941148060 scopus 로고    scopus 로고
    • Prépublication n.1017, Laboratoire de Probabilités et Modèles Aléatoires, Universités Paris 6 -Paris 7
    • Kerkyacharian, G. and Picard, D. (2005). Tresholding in learning theory. Prépublication n.1017, Laboratoire de Probabilités et Modèles Aléatoires, Universités Paris 6 -Paris 7.
    • (2005) Tresholding in Learning Theory
    • Kerkyacharian, G.1    Picard, D.2
  • 16
    • 0034287156 scopus 로고    scopus 로고
    • Asymptotics for lasso-type estimators
    • Knight, K. and Fu, W. (2000). Asymptotics for lasso-type estimators. Annals of Statistics 28(5) 1356-1378.
    • (2000) Annals of Statistics , vol.28 , Issue.5 , pp. 1356-1378
    • Knight, K.1    Fu, W.2
  • 19
    • 38049042863 scopus 로고    scopus 로고
    • Adaptive estimation in regression, using soft thresholding type penalties
    • Loubes, J.-M. and van de Geer, S.A. (2002). Adaptive estimation in regression, using soft thresholding type penalties. Statistica Neerlandica 56453-478.
    • (2002) Statistica Neerlandica , pp. 56453-56478
    • Loubes, J.-M.1    Van De Geer, S.A.2
  • 20
    • 33747163541 scopus 로고    scopus 로고
    • High-dimensional graphs and variable selection with the Lasso
    • Meinshausen, N. and Bühlmann, P. (2006). High-dimensional graphs and variable selection with the Lasso. Annals of Statistics 34 (3) 1436-1462.
    • (2006) Annals of Statistics , vol.34 , Issue.3 , pp. 1436-1462
    • Meinshausen, N.1    Bühlmann, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.