메뉴 건너뛰기




Volumn , Issue , 2013, Pages 327-356

Sparse principal component analysis with missing observations

Author keywords

Information theoretic lower bounds; Low rank covariance matrix; Missing observations; Oracle inequalities; Sparse principal component analysis

Indexed keywords


EID: 85015082750     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-0348-0490-5     Document Type: Chapter
Times cited : (33)

References (19)
  • 3
    • 77953858140 scopus 로고    scopus 로고
    • Microarray missing values imputation methods: Critical analysis review
    • M. Hourani and I.M.M. El Emary. Microarray missing values imputation methods: Critical analysis review. Comput. Sci. Inf. Syst. 6(2) (2009), 165-190.
    • (2009) Comput. Sci. Inf. Syst , vol.6 , Issue.2 , pp. 165-190
    • Hourani, M.1    El Emary, I.M.M.2
  • 4
    • 66549088006 scopus 로고    scopus 로고
    • On consistency and sparsity for principal components analysis in high dimensions
    • I.M. Johnstone and A.Y. Lu. On consistency and sparsity for principal components analysis in high dimensions. J. Amer. Statist. Assoc. 104(486) (2009), 682-693.
    • (2009) J. Amer. Statist. Assoc , vol.104 , Issue.486 , pp. 682-693
    • Johnstone, I.M.1    Lu, A.Y.2
  • 5
    • 0141941674 scopus 로고    scopus 로고
    • A modified principal component technique based on the LASSO
    • I.T. Jolliffe, N.T. Trendafilov, and M. Uddin. A modified principal component technique based on the LASSO. J. Comput. Graph. Statist. 12(3) (2003), 531-547.
    • (2003) J. Comput. Graph. Statist , vol.12 , Issue.3 , pp. 531-547
    • Jolliffe, I.T.1    Trendafilov, N.T.2    Uddin, M.3
  • 6
    • 27944450456 scopus 로고    scopus 로고
    • Dna microarray data imputation and significance analysis of differential expression
    • R. Jornsten, H.Y. Wang, W.J. Welsh, and M. Ouyang. Dna microarray data imputation and significance analysis of differential expression. Bioinformatics 21(22) (2005), 4155-4161.
    • (2005) Bioinformatics , vol.21 , Issue.22 , pp. 4155-4161
    • Jornsten, R.1    Wang, H.Y.2    Welsh, W.J.3    Ouyang, M.4
  • 9
    • 85029552411 scopus 로고    scopus 로고
    • Springer, Berlin, Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, July 6-23, 2003, with a foreword by Jean Picard
    • P. Massart. Concentration inequalities and model selection, volume 1896 of Lecture Notes in Mathematics. Springer, Berlin, 2007. Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, July 6-23, 2003, with a foreword by Jean Picard.
    • (2007) Concentration inequalities and model selection, volume 1896 of Lecture Notes in Mathematics
    • Massart, P.1
  • 10
    • 41549168797 scopus 로고    scopus 로고
    • Spectral bounds for sparse pcaExact and greedy algorithms
    • Y. Weiss, B. Schölkopf, and J. Platt, editors, MIT Press, Cambridge, MA
    • B. Moghaddam, Y. Weiss, and S. Avidan. Spectral bounds for sparse pcaExact and greedy algorithms. In Y. Weiss, B. Schölkopf, and J. Platt, editors, Advances in Neural Information Processing Systems 18, 915-922. MIT Press, Cambridge, MA, 2006.
    • (2006) Advances in Neural Information Processing Systems 18 , pp. 915-922
    • Moghaddam, B.1    Weiss, Y.2    Avidan, S.3
  • 11
    • 62349121558 scopus 로고    scopus 로고
    • Finite sample approximation results for principal component analysis: A matrix perturbation approach
    • B. Nadler. Finite sample approximation results for principal component analysis: a matrix perturbation approach. Ann. Statist. 36(6) (2008), 2791-2817.
    • (2008) Ann. Statist , vol.36 , Issue.6 , pp. 2791-2817
    • Nadler, B.1
  • 12
    • 38549175880 scopus 로고    scopus 로고
    • Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
    • D. Paul. Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Statist. Sinica 17(4) (2007), 1617-1642.
    • (2007) Statist. Sinica , vol.17 , Issue.4 , pp. 1617-1642
    • Paul, D.1
  • 14
    • 43049086717 scopus 로고    scopus 로고
    • Sparse principal component analysis via regularized low rank matrix approximation
    • H. Shen and J.Z. Huang. Sparse principal component analysis via regularized low rank matrix approximation. Multivariate Anal. 99(6) (2008), 1015-1034.
    • (2008) Multivariate Anal , vol.99 , Issue.6 , pp. 1015-1034
    • Shen, H.1    Huang, J.Z.2
  • 15
    • 73949155727 scopus 로고    scopus 로고
    • Springer Series in Statistics. Springer, New York, Revised and extended from the 2004 French original, translated by Vladimir Zaiats
    • A.B. Tsybakov. Introduction to nonparametric estimation. Springer Series in Statistics. Springer, New York, 2009. Revised and extended from the 2004 French original, translated by Vladimir Zaiats.
    • (2009) Introduction to nonparametric estimation
    • Tsybakov, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.