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Volumn 16, Issue 5-6, 2003, Pages 745-753

On structure-exploiting trust-region regularized nonlinear least squares algorithms for neural-network learning

Author keywords

Block angular and block arrow matrices; Krylov subspace; Neuro fuzzy modular networks; Trust region methods

Indexed keywords

COMPUTER SIMULATION; EXPERT SYSTEMS; FUZZY SETS; LEARNING ALGORITHMS; LEAST SQUARES APPROXIMATIONS; REGRESSION ANALYSIS;

EID: 0038383454     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(03)00085-6     Document Type: Conference Paper
Times cited : (18)

References (21)
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  • 6
    • 0038259624 scopus 로고
    • Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems
    • Department of computer Science, Stanford University (also ARO Report 79-3)
    • Golub, G. H., & LeVeque, R. J (1978). Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Technical Report SU 326, Department of computer Science, Stanford University (also ARO Report 79-3).
    • (1978) Technical Report SU 326
    • Golub, G.H.1    LeVeque, R.J.2
  • 10
    • 0033324845 scopus 로고    scopus 로고
    • Powell's dogleg trust-region steps with the quasi-Newton augmented Hessian for neural nonlinear least-squares learning
    • Mizutani E. Powell's dogleg trust-region steps with the quasi-Newton augmented Hessian for neural nonlinear least-squares learning. Proceedings of the IEEE International Conference on Neural Networks, Washington, DC. 2:1999;1239-1244.
    • (1999) Proceedings of the IEEE International Conference on Neural Networks, Washington, DC , vol.2 , pp. 1239-1244
    • Mizutani, E.1
  • 12
    • 84899031592 scopus 로고    scopus 로고
    • On iterative Krylov-dogleg trust-region steps for solving neural networks nonlinear least squares problems
    • T. Leen, T. Dietterich, & V. Tresp. Cambridge, MA: MIT Press
    • Mizutani E., Demmel J.W. On iterative Krylov-dogleg trust-region steps for solving neural networks nonlinear least squares problems. Leen T., Dietterich T., Tresp V. Advances in neural information processing systems, Vol. 13 (NIPS 2000). 2000;605-611 MIT Press, Cambridge, MA.
    • (2000) Advances in neural information processing systems, Vol. 13 (NIPS 2000) , pp. 605-611
    • Mizutani, E.1    Demmel, J.W.2
  • 18
    • 0003162836 scopus 로고
    • Recent developments in algorithms and software for trust region methods
    • A. Bachem, M. Grotschel, & B. Korte. Berlin: Springer
    • Moré J.J. Recent developments in algorithms and software for trust region methods. Bachem A., Grotschel M., Korte B. Mathematical programming: the state of the art. 1983;258-287 Springer, Berlin.
    • (1983) Mathematical programming: The state of the art , pp. 258-287
    • Moré, J.J.1
  • 20
    • 0000255539 scopus 로고
    • Fast exact multiplication by the Hessian
    • Pearlmutter B.A. Fast exact multiplication by the Hessian. Neural Computation. 6:(1):1994;147-160.
    • (1994) Neural Computation , vol.6 , Issue.1 , pp. 147-160
    • Pearlmutter, B.A.1
  • 21
    • 0005303130 scopus 로고
    • On Large scale nonlinear least squares calculations
    • Toint P.L. On Large scale nonlinear least squares calculations. SIAM Journal on Scientific Computing. 8:(3):1987;416-435.
    • (1987) SIAM Journal on Scientific Computing , vol.8 , Issue.3 , pp. 416-435
    • Toint, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.