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Volumn 2, Issue , 2003, Pages 1863-1868

Dynamical systems for principal and minor component analysis

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANTENNA ARRAYS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PRINCIPAL COMPONENT ANALYSIS; REGRESSION ANALYSIS; SET THEORY; SIGNAL PROCESSING; THEOREM PROVING;

EID: 1542290148     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (23)

References (26)
  • 2
    • 0002412868 scopus 로고
    • Dynamical systems that sort lists, diagonalise matrices, and solve linear programming problems
    • R. W. Brockett. Dynamical systems that sort lists, diagonalise matrices, and solve linear programming problems. Linear Algebra Appl., 146:79-91, 1991.
    • (1991) Linear Algebra Appl. , vol.146 , pp. 79-91
    • Brockett, R.W.1
  • 3
    • 0024903263 scopus 로고
    • Principal component analysis by gradient descent on a constrained linear Hebbian cell
    • San Diego, CA
    • Y. Chauvin. Principal component analysis by gradient descent on a constrained linear Hebbian cell. In Proceedings of the Joint International Conference on Neural Networks, pages 373-380, San Diego, CA, 1989.
    • (1989) Proceedings of the Joint International Conference on Neural Networks , pp. 373-380
    • Chauvin, Y.1
  • 4
    • 0025474239 scopus 로고
    • Tracking a few extreme singular values and vectors in signal processing
    • August
    • P. Comon and G. H. Golub. Tracking a few extreme singular values and vectors in signal processing. Proceedings of the IEEE, 78(8):1327-1343, August 1990.
    • (1990) Proceedings of the IEEE , vol.78 , Issue.8 , pp. 1327-1343
    • Comon, P.1    Golub, G.H.2
  • 7
    • 0034514504 scopus 로고    scopus 로고
    • An adaptive quasi-Newton algorithm for eigensubspace estimation
    • December
    • Z. Kang, C. Chatterjee, and V. P. Roychowdhury. An adaptive quasi-Newton algorithm for eigensubspace estimation. IEEE Transactions on Signal Processing, 48(12):3328-3333, December 2000.
    • (2000) IEEE Transactions on Signal Processing , vol.48 , Issue.12 , pp. 3328-3333
    • Kang, Z.1    Chatterjee, C.2    Roychowdhury, V.P.3
  • 8
    • 0010944411 scopus 로고
    • Sur les trajectoires du gradient d'une fonction analytique
    • S. Lojasiewicz. Sur les trajectoires du gradient d'une fonction analytique. Seminari di Geometria, pages 115-117, 1983.
    • (1983) Seminari di Geometria , pp. 115-117
    • Lojasiewicz, S.1
  • 11
    • 0020464111 scopus 로고
    • A simplified neuron model as a principal component analyzer
    • E. Oja. A simplified neuron model as a principal component analyzer. Journal of Mathematical Biology, 15:267-273, 1982.
    • (1982) Journal of Mathematical Biology , vol.15 , pp. 267-273
    • Oja, E.1
  • 12
    • 0002399288 scopus 로고
    • Neural networks, principal components, and sub-spaces
    • E. Oja. Neural networks, principal components, and sub-spaces. International Journal of Neural Systems, 1:61-68, 1989.
    • (1989) International Journal of Neural Systems , vol.1 , pp. 61-68
    • Oja, E.1
  • 13
    • 0026954958 scopus 로고
    • Principal components, minor components, and linear neural networks
    • November
    • E. Oja. Principal components, minor components, and linear neural networks. Neural Networks, 5:927-935, November 1992.
    • (1992) Neural Networks , vol.5 , pp. 927-935
    • Oja, E.1
  • 14
    • 0022013023 scopus 로고
    • On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix
    • E. Oja and J. Karhunen. On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix. Journal of Mathematical Analysis and Applications, 106:69-84, 1985.
    • (1985) Journal of Mathematical Analysis and Applications , vol.106 , pp. 69-84
    • Oja, E.1    Karhunen, J.2
  • 15
    • 0001387410 scopus 로고
    • Principal component analysis by homogeneous neural networks, Part I: The weighted subspace criterion
    • E. Oja, H. Ogawa, and J. Wangviwattana. Principal component analysis by homogeneous neural networks, Part I: The weighted subspace criterion. IEICE Transactions on Information and Systems, 3:366-375, 1992.
    • (1992) IEICE Transactions on Information and Systems , vol.3 , pp. 366-375
    • Oja, E.1    Ogawa, H.2    Wangviwattana, J.3
  • 16
    • 0001387411 scopus 로고
    • Principal component analysis by homogeneous neural networks, Pan II: Analysis and extensions of the learning algorithms
    • E. Oja, H. Ogawa, and J. Wangviwattana. Principal component analysis by homogeneous neural networks, Pan II: Analysis and extensions of the learning algorithms. IEICE Transactions on Information and Systems, 3:376-382, 1992.
    • (1992) IEICE Transactions on Information and Systems , vol.3 , pp. 376-382
    • Oja, E.1    Ogawa, H.2    Wangviwattana, J.3
  • 18
    • 0030244541 scopus 로고    scopus 로고
    • Fast, rank adaptive subspace tracking and applications
    • September
    • D. J. Rabideau. Fast, rank adaptive subspace tracking and applications. IEEE Transactions on Signal Processing, 44(9):2229-2244, September 1996.
    • (1996) IEEE Transactions on Signal Processing , vol.44 , Issue.9 , pp. 2229-2244
    • Rabideau, D.J.1
  • 20
    • 0024883243 scopus 로고
    • Optimal unsupervised learning in a single-layer linear feedforward network
    • T. D. Sanger. Optimal unsupervised learning in a single-layer linear feedforward network. Neural Networks, 2:459-473, 1989.
    • (1989) Neural Networks , vol.2 , pp. 459-473
    • Sanger, T.D.1
  • 21
    • 0032023746 scopus 로고    scopus 로고
    • Blind multiuser detection: A sub-space approach
    • March
    • X. Wang and H. V. Poor. Blind multiuser detection: A sub-space approach. IEEE Transactions on Information Theory, 44(2):677-689, March 1998.
    • (1998) IEEE Transactions on Information Theory , vol.44 , Issue.2 , pp. 677-689
    • Wang, X.1    Poor, H.V.2
  • 22
    • 0027206958 scopus 로고
    • Least mean square error recognition principle for self organizing neural nets
    • L. Xu. Least mean square error recognition principle for self organizing neural nets. Neural Networks, 6:627-648, 1993.
    • (1993) Neural Networks , vol.6 , pp. 627-648
    • Xu, L.1
  • 23
  • 24
    • 0029196852 scopus 로고
    • Projection approximation subspace tracking
    • January
    • B. Yang. Projection approximation subspace tracking. IEEE Transactions on Signal Processing, 43(1):95-107, January 1995.
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.1 , pp. 95-107
    • Yang, B.1
  • 25
    • 0023963505 scopus 로고
    • Adaptive eigensubspace algorithms for direction or frequency estimation and tracking
    • February
    • J.-F. Yang and M. Kaveh. Adaptive eigensubspace algorithms for direction or frequency estimation and tracking. IEEE Transactions on Acoustics, Speech, and Signal Processing, 36(2):241-251, February 1988.
    • (1988) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.36 , Issue.2 , pp. 241-251
    • Yang, J.-F.1    Kaveh, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.