메뉴 건너뛰기




Volumn 10, Issue 2, 1999, Pages 217-230

Estimations of error bounds for neural-network function approximators

Author keywords

Error prediction; Neural networks; Perturbation models; Radial basis function networks

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; VECTORS;

EID: 0033100605     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.750542     Document Type: Article
Times cited : (32)

References (30)
  • 1
    • 85032752004 scopus 로고
    • Progress in supervised neural networks
    • Jan.
    • D. R. Hush and B. Horne, "Progress in supervised neural networks," IEEE Signal Processing Mag., Jan. 1993, pp. 8-39.
    • (1993) IEEE Signal Processing Mag. , pp. 8-39
    • Hush, D.R.1    Horne, B.2
  • 4
    • 0028341934 scopus 로고
    • On radial basis function nets and kernal regression: Statistical consistency, convergence rates, and receptive field size
    • L. Xu, A. Kryzak, and A. Yuille, "On radial basis function nets and kernal regression: Statistical consistency, convergence rates, and receptive field size," Neural Networks, vol. 7, no. 4, pp. 609-628, 1994.
    • (1994) Neural Networks , vol.7 , Issue.4 , pp. 609-628
    • Xu, L.1    Kryzak, A.2    Yuille, A.3
  • 5
    • 0026116468 scopus 로고
    • Orthogonal least squares learning algorithm for radial basis function networks
    • Mar.
    • S. Chen, C. F. N. Cowan, and P. M. Grant, "Orthogonal least squares learning algorithm for radial basis function networks," IEEE Trans. Neural Networks, vol. 2, pp. 302-309, Mar. 1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , pp. 302-309
    • Chen, S.1    Cowan, C.F.N.2    Grant, P.M.3
  • 6
    • 0000672424 scopus 로고
    • Fast learning in networks of locally-tuned processing units
    • J. Moody and C. J. Darken, "Fast learning in networks of locally-tuned processing units," Neural Comput., vol. 1, pp. 281-294, 1989.
    • (1989) Neural Comput. , vol.1 , pp. 281-294
    • Moody, J.1    Darken, C.J.2
  • 7
    • 0020068152 scopus 로고
    • Self-organized formation of topologically correct feature maps
    • T. Kohonen, "Self-organized formation of topologically correct feature maps," Biol. Cybern., vol. 43, pp. 59-69, 1982.
    • (1982) Biol. Cybern. , vol.43 , pp. 59-69
    • Kohonen, T.1
  • 8
    • 0025489075 scopus 로고
    • The self-organizing map
    • _, "The self-organizing map," Proc. IEEE, vol. 78, pp. 1464-1480, 1990.
    • (1990) Proc. IEEE , vol.78 , pp. 1464-1480
  • 9
  • 10
    • 0030109050 scopus 로고    scopus 로고
    • Nonparametric estimation and classification using radial basis function nets and empirical risk minimization
    • Mar.
    • A. Kryzak, T. Linder, and G. Lugosi, "Nonparametric estimation and classification using radial basis function nets and empirical risk minimization," IEEE Trans. Neural Networks, vol. 7, pp. 475-487, Mar. 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 475-487
    • Kryzak, A.1    Linder, T.2    Lugosi, G.3
  • 11
    • 0000067815 scopus 로고
    • Predicting the future: Advantages of semilocal units
    • E. Hartman and J. D. Keeler, "Predicting the future: Advantages of semilocal units," Neural Comput., vol. 3, pp. 566-578, 1992.
    • (1992) Neural Comput. , vol.3 , pp. 566-578
    • Hartman, E.1    Keeler, J.D.2
  • 12
    • 0025404853 scopus 로고
    • Sensitivity of feedforward neural networks to weight errors
    • Mar.
    • M. Stevenson, R. Winter, and B. Widrow, "Sensitivity of feedforward neural networks to weight errors," IEEE Trans. Neural Networks, vol. 1, pp. 71-80, Mar. 1990.
    • (1990) IEEE Trans. Neural Networks , vol.1 , pp. 71-80
    • Stevenson, M.1    Winter, R.2    Widrow, B.3
  • 13
    • 0001572432 scopus 로고    scopus 로고
    • A comparison of some error estimates for neural network models
    • R. Tibshirani, "A comparison of some error estimates for neural network models," Neural Comput., vol. 8, pp. 152-163, 1996.
    • (1996) Neural Comput. , vol.8 , pp. 152-163
    • Tibshirani, R.1
  • 14
    • 0011847141 scopus 로고
    • Transforming neural-net output levels to probability distributions
    • R. P. Lippmann, et al., Eds., San Mateo, CA: Morgan Kaufmann
    • J. S. Denker and Y. Le Cun, "Transforming neural-net output levels to probability distributions," in Advances in Neural Information Processing Systems, R. P. Lippmann, et al., Eds., vol. 3. San Mateo, CA: Morgan Kaufmann, 1991, pp. 853-859.
    • (1991) Advances in Neural Information Processing Systems , vol.3 , pp. 853-859
    • Denker, J.S.1    Le Cun, Y.2
  • 15
    • 0024940401 scopus 로고
    • Consistent inference of probabilities in layered networks: Predictions and generalization
    • Washington, D.C.
    • N. Tishby, E. Levin, and S. A. Solla, "Consistent inference of probabilities in layered networks: Predictions and generalization," in Proc. Int. Joint Conf. Neural Networks, Washington, D.C., 1989, pp. 403-409.
    • (1989) Proc. Int. Joint Conf. Neural Networks , pp. 403-409
    • Tishby, N.1    Levin, E.2    Solla, S.A.3
  • 16
    • 0002704818 scopus 로고
    • A practical bayesian framework for backpropagation networks
    • D. J. C. MacKay, "A practical bayesian framework for backpropagation networks," Neural Comput., vol. 4, pp. 448-472, 1992.
    • (1992) Neural Comput. , vol.4 , pp. 448-472
    • MacKay, D.J.C.1
  • 17
    • 0004243435 scopus 로고
    • Bayesian backpropagation over I/O functions rather than weights
    • D. H. Wolpert, "Bayesian backpropagation over I/O functions rather than weights," 1994, SFI tech. rep. Available ftp://archive.cis.ohios-state.edu/pub/neuroprose/wolpert.nips-93.ps.Z
    • (1994) SFI Tech. Rep.
    • Wolpert, D.H.1
  • 18
    • 0004113976 scopus 로고
    • Tech. Rep. NCRG/94/004, Aston University, NCRG, Aston University, Birmingham, B4 7ET, UK
    • C. Bishop, "Mixture density networks," Tech. Rep. NCRG/94/004, Aston University, NCRG, Aston University, Birmingham, B4 7ET, UK, 1994. Available http://neural-server.aston.ac.uk/Papers/postscript/NCRG_94_004.ps.Z
    • (1994) Mixture Density Networks
    • Bishop, C.1
  • 20
    • 0030585112 scopus 로고    scopus 로고
    • Using neural networks to model conditional multivariate densities
    • May
    • P. M. Williams, "Using neural networks to model conditional multivariate densities," Neural Comput., vol. 8, pp. 843-854, May 1996.
    • (1996) Neural Comput. , vol.8 , pp. 843-854
    • Williams, P.M.1
  • 22
    • 0029756425 scopus 로고    scopus 로고
    • Confidence interval prediction for neural network models
    • Jan.
    • G. Chryssolouris, M. Lee, and A. Ramsey, "Confidence interval prediction for neural network models," IEEE Trans. Neural Networks, vol. 7, pp. 229-232, Jan. 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 229-232
    • Chryssolouris, G.1    Lee, M.2    Ramsey, A.3
  • 24
    • 0024861871 scopus 로고
    • Approximation by superposition of a sigmoidal function
    • G. Cybenko, "Approximation by superposition of a sigmoidal function," Math. Contr., Signals, Syst., vol. 2, no. 4, pp. 303-314, 1989.
    • (1989) Math. Contr., Signals, Syst. , vol.2 , Issue.4 , pp. 303-314
    • Cybenko, G.1
  • 25
    • 0000106040 scopus 로고
    • Universal approximation using radial-basis-function networks
    • J. Park and I. W. Sandberg, "Universal approximation using radial-basis-function networks," Neural Comput., vol. 3, pp. 246-257, 1991.
    • (1991) Neural Comput. , vol.3 , pp. 246-257
    • Park, J.1    Sandberg, I.W.2
  • 26
    • 34250872904 scopus 로고
    • Motion and structure from two perspective views: Algorithms, error analysis, and error estimation
    • May
    • H. S. Weng, T. S. Huang, and N. Ahuja, "Motion and structure from two perspective views: Algorithms, error analysis, and error estimation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 451-476, May 1989.
    • (1989) IEEE Trans. Pattern Anal. Machine Intell. , vol.11 , pp. 451-476
    • Weng, H.S.1    Huang, T.S.2    Ahuja, N.3
  • 30
    • 33747478636 scopus 로고    scopus 로고
    • Neural networks for mobile robot localisation using infrared range sensing
    • submitted
    • N. W. Townsend and L. Tarassenko, "Neural networks for mobile robot localisation using infrared range sensing," Neural Comput. Applicat., 1997, submitted.
    • (1997) Neural Comput. Applicat.
    • Townsend, N.W.1    Tarassenko, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.