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Volumn 5, Issue 5, 1994, Pages 674-683

Global Analysis of Oja’s Flow for Neural Networks

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; LEARNING SYSTEMS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; NUMERICAL METHODS; VECTORS;

EID: 0028496455     PISSN: 10459227     EISSN: 19410093     Source Type: Journal    
DOI: 10.1109/72.317720     Document Type: Article
Times cited : (87)

References (14)
  • 1
    • 33847117982 scopus 로고
    • Backpropagation and unsupervised learning in linear networks
    • Y. Chauvin and D. E. Rummelhart, Eds. Earlbaum Associates
    • P. Baldi and K. Hornik, “Back propagation and unsupervised learning in linear networks,” in Back Propagation: Theory, Architectures and Applications, Y. Chauvin and D. E. Rummelhart, Eds. Earlbaum Associates, 1991.
    • (1991) Back Propagation: Theory, Architectures and Applications
    • Baldi, P.1    Hornik, K.2
  • 2
    • 0024175873 scopus 로고
    • Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems
    • R. W. Brockett, “Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems,” Proc. 27th Conf. Decision and Contr., pp. 799–803, 1988.
    • (1988) Proc. 27th Conf. Decision and Contr , pp. 799-803
    • Brockett, R.W.1
  • 3
    • 0004235829 scopus 로고    scopus 로고
    • Optimization and Dynamical Systems
    • New York: Springer-Verlag
    • U. Helmke and J. B. Moore, Optimization and Dynamical Systems. New York: Springer-Verlag 1993.
    • Helmke, U.1    Moore, J.B.2
  • 4
    • 0003779190 scopus 로고    scopus 로고
    • Differential Equations, Dynamical Systems, and Linear Algebra
    • New York: Academic Press
    • M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra. New York: Academic Press, 1974.
    • Hirsch, M.W.1    Smale, S.2
  • 5
    • 0026727495 scopus 로고
    • Convergence analysis of local feature extraction algorithms
    • K. Hornik and C. M. Kuan, “Convergence analysis of local feature extraction algorithms,” Neural Networks, vol 5, pp. 229–240, 1992.
    • (1992) Neural Networks , vol.5 , pp. 229-240
    • Hornik, K.1    Kuan, C.M.2
  • 6
    • 0006905298 scopus 로고
    • Hebbian learning of principal components
    • R. Eckmiller, G. Hartmann, and G. Hauske, Eds. Amsterdam: Elsevier Science Publishers B. V., North-Holland
    • A. Krogh and J. Hertz, “Hebbian learning of principal components,” in Parallel Processing in Neural Systems and Computers, R. Eckmiller, G. Hartmann, and G. Hauske, Eds. Amsterdam: Elsevier Science Publishers B. V., North-Holland, 1990, 183–186.
    • (1990) Parallel Processing in Neural Systems and Computers , pp. 183-186
    • Krogh, A.1    Hertz, J.2
  • 7
    • 0026222695 scopus 로고
    • Convergence of learning algorithms with constant rates
    • C. M. Kuan and K. Hornik, “Convergence of learning algorithms with constant rates,” IEEE Trans. Neural Networks, vol. 2, pp. 484-489,1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , pp. 484-489
    • Kuan, C.M.1    Hornik, K.2
  • 8
    • 0020464111 scopus 로고
    • E. Oja, “A simplified neuron model as a principal component analyzer,” J. Math. Biol., vol 15, pp. 267–273, 1982.
    • (1982) J. Math. Biol , vol.15 , pp. 267-273
    • Oja, E.1
  • 9
    • 0004121838 scopus 로고    scopus 로고
    • Subspace methods of pattern recognition
    • Letchworth, England: Research Studies Press
    • E. Oja, Subspace methods of pattern recognition. Letchworth, England: Research Studies Press, 1983.
    • Oja, E.1
  • 10
    • 0002399288 scopus 로고
    • Neural networks, principal components, and subspaces
    • E. Oja, “Neural networks, principal components, and subspaces,” Int. J. Neural Syst., vol 1, pp. 61–68, 1989.
    • (1989) Int. J. Neural Syst. , vol.1 , pp. 61-68
    • Oja, E.1
  • 11
    • 0022013023 scopus 로고
    • On stochastic approximation of eigenvectors and eigenvalues of the expectation of a random matrix
    • E. Oja and J. Karhunen, “On stochastic approximation of eigenvectors and eigenvalues of the expectation of a random matrix,” J. M. A. A., vol 106, pp. 69–84, 1985.
    • (1985) J. M. A. A. , vol.106 , pp. 69-84
    • Oja, E.1    Karhunen, J.2
  • 12
    • 0043156303 scopus 로고
    • On the finite escape phenomena for matrix Riccati equations
    • T. Sasagawa, “On the finite escape phenomena for matrix Riccati equations,” IEEE Trans. Automat. Contr., vol. 27, pp. 977–978, 1982.
    • (1982) IEEE Trans. Automat. Contr , vol.27 , pp. 977-978
    • Sasagawa, T.1
  • 13
    • 0022721216 scopus 로고
    • Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
    • D. W. Tank and J. J. Hopfield, “Simple 'neural’ optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit,” IEEE Trans. Circuits Syst., vol. 33, pp. 533–541, 1985.
    • (1985) IEEE Trans. Circuits Syst , vol.33 , pp. 533-541
    • Tank, D.W.1    Hopfield, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.