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Volumn 45, Issue 7, 2012, Pages 2719-2732

Regularized orthogonal linear discriminant analysis

Author keywords

Data dimensionality reduction; Orthogonal linear discriminant analysis; QR factorization; Regularized orthogonal linear discriminant analysis

Indexed keywords

CROSS VALIDATION; DATA DIMENSIONALITY REDUCTION; LINEAR DISCRIMINANT ANALYSIS; MATHEMATICAL RELATIONSHIP; MATHEMATICAL THEORY; QR FACTORIZATIONS; REAL WORLD DATA; REGULARIZATION PARAMETERS;

EID: 84862798516     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2012.01.007     Document Type: Article
Times cited : (42)

References (47)
  • 3
    • 0029546874 scopus 로고
    • Using linear algebra for intelligent information retrieval
    • M.W. Berry, S.T. Dumais, and G.W. OBrie Using linear algebra for intelligent information retrieval SIAM Review 37 1995 573 595
    • (1995) SIAM Review , vol.37 , pp. 573-595
    • Berry, M.W.1    Dumais, S.T.2    Obrie, G.W.3
  • 4
    • 0036195207 scopus 로고    scopus 로고
    • Nonlinear Fisher discriminant analysis using a minimum squared error cost function and the orthogonal least squares algorithm
    • DOI 10.1016/S0893-6080(01)00142-3, PII S0893608001001423
    • S.A. Billings, and K.L. Lee Nonlinear Fisher discriminant analysis using a minimum squared error cost function and the orthogonal least squares algorithm Neural Network 15 2002 263 270 (Pubitemid 34213783)
    • (2002) Neural Networks , vol.15 , Issue.2 , pp. 263-270
    • Billings, S.A.1    Lee, K.L.2
  • 6
    • 0034300875 scopus 로고    scopus 로고
    • A new LDA-based face recognition system which can solve the small sample size problem
    • L. Chen, H.M. Liao, M. Ko, J. Lin, and G. Yu A new LDA-based face recognition system which can solve the small sample size problem Pattern Recognition 33 2000 1713 1726
    • (2000) Pattern Recognition , vol.33 , pp. 1713-1726
    • Chen, L.1    Liao, H.M.2    Ko, M.3    Lin, J.4    Yu, G.5
  • 7
    • 80054044731 scopus 로고    scopus 로고
    • Characterization of all solutions for undersampled uncorrelated linear discriminant analysis problems
    • D. Chu, S.T. Goh, and Y.S. Hung Characterization of all solutions for undersampled uncorrelated linear discriminant analysis problems SIAM Journal on Matrix Analysis and Applications 32 2011 820 844
    • (2011) SIAM Journal on Matrix Analysis and Applications , vol.32 , pp. 820-844
    • Chu, D.1    Goh, S.T.2    Hung, Y.S.3
  • 8
    • 74449090002 scopus 로고    scopus 로고
    • A new and fast implementation for null space based linear discriminant analysis
    • D. Chu, and S.T. Goh A new and fast implementation for null space based linear discriminant analysis Pattern Recognition 43 2010 1373 1379
    • (2010) Pattern Recognition , vol.43 , pp. 1373-1379
    • Chu, D.1    Goh, S.T.2
  • 9
    • 77955682282 scopus 로고    scopus 로고
    • A new and fast orthogonal linear discriminant analysis on undersampled problems
    • D. Chu, and S.T. Goh A new and fast orthogonal linear discriminant analysis on undersampled problems SIAM Journal on Scientific Computing 32 2010 2274 2297
    • (2010) SIAM Journal on Scientific Computing , vol.32 , pp. 2274-2297
    • Chu, D.1    Goh, S.T.2
  • 10
    • 0041912913 scopus 로고    scopus 로고
    • A QR-type reduction for computing the SVD of a general matrix product/quotient
    • DOI 10.1007/s00211-002-0431-z
    • D. Chu, L.De. Lathauwer, and B.De. Moor A QR-type reduction for computing the SVD of a general matrix product/quotient Numerical Mathematics 95 2003 101 121 (Pubitemid 36914030)
    • (2003) Numerische Mathematik , vol.95 , Issue.1 , pp. 101-121
    • Chu, D.1    De Lathauwer, L.2    De Moor, B.3
  • 11
    • 0036522825 scopus 로고    scopus 로고
    • Regularized discriminant analysis and its application to face recognition
    • D.Q. Dai, and P.C. Yuen Regularized discriminant analysis and its application to face recognition Pattern Recognition 36 2003 845 847
    • (2003) Pattern Recognition , vol.36 , pp. 845-847
    • Dai, D.Q.1    Yuen, P.C.2
  • 12
    • 12344294601 scopus 로고    scopus 로고
    • BagBoosting for tumor classification with gene expression data
    • DOI 10.1093/bioinformatics/bth447
    • M. Dettling Bag boosting for tumor classification with gene expression data Oxford Journals on Life Sciences and Bioinformatics 20 2004 3583 3593 (Pubitemid 40136794)
    • (2004) Bioinformatics , vol.20 , Issue.18 , pp. 3583-3593
    • Dettling, M.1
  • 13
    • 0037709918 scopus 로고    scopus 로고
    • Supervised clustering of genes
    • 0069.10069.15
    • M. Dettling, and P. Bhlmann Supervised clustering of genes Genome Biology 3 2002 0069.10069.15
    • (2002) Genome Biology , vol.3
    • Dettling, M.1    Bhlmann, P.2
  • 15
    • 0036489046 scopus 로고    scopus 로고
    • Comparison of discrimination methods for the classification of tumors using gene expression data
    • S. Dudoit, J. Fridlyand, and T.P. Speed Comparison of discrimination methods for the classification of tumors using gene expression data Journal of the American Statistical Association 97 2002 77 87
    • (2002) Journal of the American Statistical Association , vol.97 , pp. 77-87
    • Dudoit, S.1    Fridlyand, J.2    Speed, T.P.3
  • 21
    • 0004236492 scopus 로고    scopus 로고
    • third ed. The Johns Hopkins University Press Baltimore, MD
    • G.H. Golub, and C.F. Van Loan Matrix Computations third ed. 1996 The Johns Hopkins University Press Baltimore, MD
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 22
    • 33845413755 scopus 로고    scopus 로고
    • Regularized linear discriminant analysis and its application in microarrays
    • DOI 10.1093/biostatistics/kxj035
    • Y. Guo, T. Hastie, and R. Tibshirani Regularized linear discriminant analysis and its application in microarray Biostatistics 8 2007 86 100 (Pubitemid 44906104)
    • (2007) Biostatistics , vol.8 , Issue.1 , pp. 86-100
    • Guo, Y.1    Hastie, T.2    Tibshirani, R.3
  • 24
    • 67349121326 scopus 로고    scopus 로고
    • Sparse multinomial kernel discriminant analysis (sMKDA)
    • R.F. Harrison, and K. Pasupa Sparse multinomial kernel discriminant analysis (sMKDA) Pattern Recognition 42 2009 1795 1802
    • (2009) Pattern Recognition , vol.42 , pp. 1795-1802
    • Harrison, R.F.1    Pasupa, K.2
  • 26
    • 1342310014 scopus 로고    scopus 로고
    • Structure preserving dimension reduction for clustered text data based on the generalized singular value decomposition
    • DOI 10.1137/S0895479801393666, PII S0895479801393666
    • P. Howland, M. Jeon, and H. Park Structure preserving dimension reduction for clustered text data based on the generalized singular value decomposition SIAM Journal on Matrix Analysis and Applications 25 2003 165 179 (Pubitemid 38260434)
    • (2004) SIAM Journal on Matrix Analysis and Applications , vol.25 , Issue.1 , pp. 165-179
    • Howland, P.1    Jeon, M.2    Park, H.3
  • 30
    • 54349111811 scopus 로고    scopus 로고
    • Generalized linear discriminant analysis: A unified framework and efficient model selection
    • S. Ji, and J. Ye Generalized linear discriminant analysis: a unified framework and efficient model selection IEEE Transactions on Neural Networks 19 2008 1768 1782
    • (2008) IEEE Transactions on Neural Networks , vol.19 , pp. 1768-1782
    • Ji, S.1    Ye, J.2
  • 31
    • 0035400784 scopus 로고    scopus 로고
    • Face recognition based on the uncorrelated discriminant transformation
    • DOI 10.1016/S0031-3203(00)00084-4, PII S0031320300000844
    • Z. Jin, J.Y. Yang, Z.S. Hu, and Z. Lou Face recognition based on the uncorrelated discriminant transformation Pattern Recognition 34 2001 1405 1416 (Pubitemid 32424906)
    • (2001) Pattern Recognition , vol.34 , Issue.7 , pp. 1405-1416
    • Jin, Z.1    Yang, J.-Y.2    Hu, Z.-S.3    Lou, Z.4
  • 32
    • 0035480085 scopus 로고    scopus 로고
    • A theorem on the uncorrelated optimal discriminant vectors
    • DOI 10.1016/S0031-3203(00)00135-7, PII S0031320300001357
    • Z. Jin, J.Y. Yang, Z.M. Tang, and Z.S. Hu A theorem on the uncorrelated optimal discriminant vectors Pattern Recognition 34 2001 2041 2047 (Pubitemid 32760633)
    • (2001) Pattern Recognition , vol.34 , Issue.10 , pp. 2041-2047
    • Jin, Z.1    Yang, J.-Y.2    Tang, Z.-M.3    Hu, Z.-S.4
  • 36
    • 63249127971 scopus 로고    scopus 로고
    • Fast Linear Discriminant Analysis Using QR Decomposition and Regularization
    • H. Park, B. Drake, S. Lee, C. Park, Fast Linear Discriminant Analysis Using QR Decomposition and Regularization, Technical Report GT-CSE-07-21, 2007.
    • (2007) Technical Report GT-CSE-07-21
    • Park, H.1    Drake, B.2    Lee, S.3    Park, C.4
  • 38
    • 0001059564 scopus 로고
    • Perturbation bounds for the Cholesky and QR factorization
    • J.G. Sun Perturbation bounds for the Cholesky and QR factorization BIT 31 1991 341 352
    • (1991) BIT , vol.31 , pp. 341-352
    • Sun, J.G.1
  • 41
    • 84862802327 scopus 로고    scopus 로고
    • Whitehead Institute Center for Genomic Research: cancer genomics
    • Whitehead Institute Center for Genomic Research: cancer genomics 〈 http://www-genome.wi.mit.edu/cancer 〉.
  • 42
    • 21844447839 scopus 로고    scopus 로고
    • Characterization of a family of algorithms for generalized discriminant analysis on undersampled problems
    • J. Ye Characterization of a family of algorithms for generalized discriminant analysis on undersampled problems Journal of Machine Learning Research 6 2005 483 502
    • (2005) Journal of Machine Learning Research , vol.6 , pp. 483-502
    • Ye, J.1
  • 44
    • 21244494853 scopus 로고    scopus 로고
    • A two-stage linear discriminant analysis via QR-decomposition
    • DOI 10.1109/TPAMI.2005.110
    • J. Ye, and Q. Li A two-stage linear discriminant analysis via QR-decomposition IEEE Transactions on Pattern Analysis and Machine Intelligence 27 2005 929 941 (Pubitemid 40889843)
    • (2005) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.27 , Issue.6 , pp. 929-941
    • Ye, J.1    Li, Q.2
  • 45
    • 33745743918 scopus 로고    scopus 로고
    • Computational and theoretical analysis of null space and orthogonal linear discriminant analysis
    • J. Ye, and T. Xiong Computational and theoretical analysis of null space and orthogonal linear discriminant analysis Journal of Machine Learning Research 7 2006 1183 1204 (Pubitemid 44015300)
    • (2006) Journal of Machine Learning Research , vol.7 , pp. 1183-1204
    • Ye, J.1    Xiong, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.