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Volumn 15, Issue 3, 2004, Pages 576-596

Generalized regression neural networks in time-varying environment

Author keywords

Convergence properties; Generalized regression neural networks (GRNN); Orthogonal series kernel; Parzen kernel; Time varying environment

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; LEARNING SYSTEMS; PROBABILITY DISTRIBUTIONS; REGRESSION ANALYSIS;

EID: 2542511591     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2004.826127     Document Type: Article
Times cited : (92)

References (43)
  • 3
    • 2542552397 scopus 로고
    • Convergence of random processes in machine learning theory
    • E. M. Braverman and L. I. Rozonoer, "Convergence of random processes in machine learning theory," Automat. Remote Contr., vol. 30, pp. 44-64, 1969.
    • (1969) Automat. Remote Contr. , vol.30 , pp. 44-64
    • Braverman, E.M.1    Rozonoer, L.I.2
  • 4
    • 0026188751 scopus 로고
    • Learning vector quantization for the probabilistic neural network
    • P. Burrascano, "Learning vector quantization for the probabilistic neural network," IEEE Trans. Neural Networks, vol. 2, pp. 458-461, 1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , pp. 458-461
    • Burrascano, P.1
  • 5
    • 0001498106 scopus 로고
    • On convergence and growth of partial sums of Fourier series
    • L. Carleson, "On convergence and growth of partial sums of Fourier series," Acta Math., vol. 116, pp. 135-137, 1966.
    • (1966) Acta Math. , vol.116 , pp. 135-137
    • Carleson, L.1
  • 6
    • 0000792517 scopus 로고
    • On a stochastic approximation method
    • K. L. Chung, "On a stochastic approximation method," Ann. Math. Statist., vol. 25, pp. 463-483, 1954.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 463-483
    • Chung, K.L.1
  • 7
    • 2542613413 scopus 로고
    • Strong consistency of a sequential estimator of a probability density function
    • H. I. Davies, "Strong consistency of a sequential estimator of a probability density function," Bull. Math. Statist., vol. 15, pp. 49-53, 1973.
    • (1973) Bull. Math. Statist. , vol.15 , pp. 49-53
    • Davies, H.I.1
  • 8
    • 2542595158 scopus 로고
    • On the pointwise and the integral convergence of recursive kernel estimates of probability densities
    • L. P. Devroye, "On the pointwise and the integral convergence of recursive kernel estimates of probability densities," Utilitias Math., vol. 15, pp. 113-128, 1979.
    • (1979) Utilitias Math. , vol.15 , pp. 113-128
    • Devroye, L.P.1
  • 9
    • 0001244757 scopus 로고
    • On the almost everywhere convergence of nonparametric regression function estimates
    • L. P. Devroye, "On the almost everywhere convergence of nonparametric regression function estimates," Ann. Stat., vol. 9, pp. 1310-1309, 1981.
    • (1981) Ann. Stat. , vol.9 , pp. 1310-1309
    • Devroye, L.P.1
  • 11
    • 0038937889 scopus 로고
    • A dynamic stochastic approximation method
    • S. Dupač, "A dynamic stochastic approximation method," Ann. Math. Stat., vol. 36, pp. 1695-1702, 1965.
    • (1965) Ann. Math. Stat. , vol.36 , pp. 1695-1702
    • Dupač, S.1
  • 13
    • 2542520448 scopus 로고
    • Asymptotic properties of kernel estimates of a regression function
    • W. Greblicki and A. Krzyżak, "Asymptotic properties of kernel estimates of a regression function," J. Statist. Planning Inference, vol. 4, pp. 81-90, 1980.
    • (1980) J. Statist. Planning Inference , vol.4 , pp. 81-90
    • Greblicki, W.1    Krzyzak, A.2
  • 14
    • 0000289318 scopus 로고
    • Distribution-free pointwise consistency of kernel regression estimate
    • W. Greblicki, A. Krzyżak, and M. Pawlak, "Distribution-free pointwise consistency of kernel regression estimate," Ann. Stat., vol. 12, pp. 1570-1575, 1984.
    • (1984) Ann. Stat. , vol.12 , pp. 1570-1575
    • Greblicki, W.1    Krzyzak, A.2    Pawlak, M.3
  • 15
    • 0019819980 scopus 로고
    • Classification using the Fourier series estimate of multivariate density function
    • W. Greblicki and M. Pawlak, "Classification using the Fourier series estimate of multivariate density function," IEEE Trans. Syst., Man., Cybern., vol. 11, pp. 726-730, 1981.
    • (1981) IEEE Trans. Syst., Man., Cybern. , vol.11 , pp. 726-730
    • Greblicki, W.1    Pawlak, M.2
  • 18
    • 0034227864 scopus 로고    scopus 로고
    • Probabilistic neural-network structure determination for pattern classification
    • K. Z. Mao, K.-C. Tan, and W. Ser, "Probabilistic neural-network structure determination for pattern classification," IEEE Trans. Neural Networks, vol. 11, pp. 1009-1016, 2000.
    • (2000) IEEE Trans. Neural Networks , vol.11 , pp. 1009-1016
    • Mao, K.Z.1    Tan, K.-C.2    Ser, W.3
  • 23
    • 0019262706 scopus 로고
    • Sequential estimates of probability densities by orthogonal series and their application in pattern classification
    • L. Rutkowski, "Sequential estimates of probability densities by orthogonal series and their application in pattern classification," IEEE Trans. Syst., Man, Cybern., vol. SMC-10, no. 12, pp. 918-920, 1980.
    • (1980) IEEE Trans. Syst., Man, Cybern. , vol.SMC-10 , Issue.12 , pp. 918-920
    • Rutkowski, L.1
  • 24
    • 2542567720 scopus 로고
    • Sequential estimates of a regression function by orthogonal series with applications in discrimination
    • New York
    • ____, "Sequential estimates of a regression function by orthogonal series with applications in discrimination," in Lectures Notes in Statistics, vol. 8, New York, 1981, pp. 236-244.
    • (1981) Lectures Notes in Statistics , vol.8 , pp. 236-244
    • Rutkowski, L.1
  • 25
    • 0026014267 scopus 로고
    • Identification of MISO nonlinear regressions in the presence of a wide class of disturbances
    • ____, "Identification of MISO nonlinear regressions in the presence of a wide class of disturbances," IEEE Trans. Inform. Theory, vol. 37, pp. 214-216, 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 214-216
    • Rutkowski, L.1
  • 26
    • 0027676997 scopus 로고
    • Multiple Fourier series procedures for extraction of nonlinear regressions from noisy data
    • ____, "Multiple Fourier series procedures for extraction of nonlinear regressions from noisy data," IEEE Trans. Signal Processing, vol. 41, pp. 3062-3065, 1993.
    • (1993) IEEE Trans. Signal Processing , vol.41 , pp. 3062-3065
    • Rutkowski, L.1
  • 29
    • 2542525075 scopus 로고    scopus 로고
    • Adaptive probabilistic neural networks for pattern classification in time-varying environment
    • L. Rutkowski, "Adaptive probabilistic neural networks for pattern classification in time-varying environment," IEEE Trans. Neural Networks, vol. 15, 2004.
    • (2004) IEEE Trans. Neural Networks , vol.15
    • Rutkowski, L.1
  • 31
    • 0003043439 scopus 로고
    • Convergence almost everywhere of certain singular integrals and multiple fourier series
    • P. Sjölin, "Convergence almost everywhere of certain singular integrals and multiple fourier series," Ark. Math., vol. 9, pp. 65-90, 1971.
    • (1971) Ark. Math. , vol.9 , pp. 65-90
    • Sjölin, P.1
  • 33
    • 0025206332 scopus 로고
    • Probabilistic neural networks
    • D. F. Specht, "Probabilistic neural networks," Neural Netw., vol. 3, pp. 109-118, 1990.
    • (1990) Neural Netw. , vol.3 , pp. 109-118
    • Specht, D.F.1
  • 34
    • 0025399335 scopus 로고
    • Probabilistic neural networks and the polynomial adaline as complementary techniques for classification
    • ____, "Probabilistic neural networks and the polynomial adaline as complementary techniques for classification," IEEE Trans. Neural Networks, vol. 1, pp. 111-121, 1990.
    • (1990) IEEE Trans. Neural Networks , vol.1 , pp. 111-121
    • Specht, D.F.1
  • 35
    • 0026254768 scopus 로고
    • A general regression neural network
    • ____, "A general regression neural network," IEEE Trans. Neural Networks, vol. 2, pp. 568-576, 1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , pp. 568-576
    • Specht, D.F.1
  • 38
    • 0003951313 scopus 로고
    • Nonparametric function estimation, modeling and simulation
    • Philadelphia, PA
    • J. R. Thompson and R. A. Tapia, "Nonparametric function estimation, modeling and simulation," in SIAM, Philadelphia, PA, 1990.
    • (1990) SIAM
    • Thompson, J.R.1    Tapia, R.A.2
  • 39
    • 0000221406 scopus 로고
    • Properties of Hermite series estimation of probability density
    • G. G. Walter, "Properties of Hermite series estimation of probability density," Ann. Stat., vol. 5, pp. 1258-1264, 1977.
    • (1977) Ann. Stat. , vol.5 , pp. 1258-1264
    • Walter, G.1
  • 40
    • 2542566204 scopus 로고
    • On convergence of asymptotically optimal discriminant functions for pattern classification problems
    • W. Watanabe, "On convergence of asymptotically optimal discriminant functions for pattern classification problems," Bull. Math. Statist., vol. 16, pp. 23-34, 1974.
    • (1974) Bull. Math. Statist. , vol.16 , pp. 23-34
    • Watanabe, W.1
  • 41
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • G. S. Watson, "Smooth regression analysis," Sankhya Series A, vol. 26, pp. 359-372, 1964.
    • (1964) Sankhya Series A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 42
    • 0002098808 scopus 로고
    • Sequential estimation of a continuous probability density function and the mode
    • H. Yamato, "Sequential estimation of a continuous probability density function and the mode," Bull. Math. Statist., vol. 14, pp. 1-12, 1971.
    • (1971) Bull. Math. Statist. , vol.14 , pp. 1-12
    • Yamato, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.