메뉴 건너뛰기




Volumn 28, Issue 5, 2000, Pages 1379-1389

Local greedy approximation for nonlinear regression and neural network training

Author keywords

Greedy approximation; Local training

Indexed keywords


EID: 0034287161     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1015957398     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0027599793 scopus 로고
    • Universal approximation bounds for superpositions of a sigmoidal function
    • BARRON, A. R. (1993). Universal approximation bounds for superpositions of a sigmoidal function. IEEE Trans. Inform. Theory 40 930-945.
    • (1993) IEEE Trans. Inform. Theory , vol.40 , pp. 930-945
    • Barron, A.R.1
  • 2
    • 0000876414 scopus 로고
    • Local learning algorithms
    • BOTTOU, L. and VAPNIK, V. (1992). Local learning algorithms. Neural Computation 4 888-900.
    • (1992) Neural Computation , vol.4 , pp. 888-900
    • Bottou, L.1    Vapnik, V.2
  • 3
    • 0026453958 scopus 로고
    • Training a 3-node neural network is NP-complete
    • SLUM, A. L. and RIVEST, R. L. (1992). Training a 3-Node Neural Network is NP-Complete. Neural Networks 5 117-127.
    • (1992) Neural Networks , vol.5 , pp. 117-127
    • Slum, A.L.1    Rivest, R.L.2
  • 4
    • 0039439070 scopus 로고    scopus 로고
    • Some remarks on greedy algorithms
    • DEVORE, R. A. and TEMLYAKOV, V. N. (1996). Some remarks on greedy algorithms. Adv. Comput. Math 5 173-187.
    • (1996) Adv. Comput. Math , vol.5 , pp. 173-187
    • Devore, R.A.1    Temlyakov, V.N.2
  • 5
    • 0031531584 scopus 로고
    • Rates of convex approximation in non-Hilbert spaces
    • DONOHUE, M. J., GURVITZ, L., DARKEN, C. and SONTAG, E. (1994). Rates of convex approximation in non-Hilbert spaces. Constr. Approx. 13 187-220.
    • (1994) Constr. Approx. , vol.13 , pp. 187-220
    • Donohue, M.J.1    Gurvitz, L.2    Darken, C.3    Sontag, E.4
  • 9
    • 0000263797 scopus 로고
    • Projection pursuit
    • HUBER, P. J. (1985). Projection pursuit. Ann. Statist. 13 435-475.
    • (1985) Ann. Statist. , vol.13 , pp. 435-475
    • Huber, P.J.1
  • 10
    • 0000523636 scopus 로고
    • On a conjuecture of Huber concerning the convergence of projection pursuit regression
    • JONES, L. K. (1987). On a conjuecture of Huber concerning the convergence of projection pursuit regression. Ann. Statist. 15 880-882.
    • (1987) Ann. Statist. , vol.15 , pp. 880-882
    • Jones, L.K.1
  • 11
    • 0000796112 scopus 로고
    • A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
    • JONES, L. K. (1992). A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training. Ann. Statist. 20 608-613.
    • (1992) Ann. Statist. , vol.20 , pp. 608-613
    • Jones, L.K.1
  • 12
    • 0028387201 scopus 로고
    • Good weights and hyperbolic kernels for neural networks, projection pursuit, and pattern classification: Fourier strategies for extracting information from high-dimensional data
    • JONES, L. K. (1994). Good weights and hyperbolic kernels for neural networks, projection pursuit, and pattern classification: Fourier strategies for extracting information from high-dimensional data. IEEE Trans. Inform. Theory 40 439-454.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 439-454
    • Jones, L.K.1
  • 13
    • 0030736446 scopus 로고    scopus 로고
    • The computational intractability of training sigmoidal neural networks
    • JONES, L. K. (1997). The Computational intractability of training sigmoidal neural networks. IEEE Trans. Inform. Theory 43 167-173.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 167-173
    • Jones, L.K.1
  • 14
    • 0001556720 scopus 로고    scopus 로고
    • Efficient agnostic learning of neural networks with bounded fan-in
    • LEE, W. S. and BARTLETT, P. L., and WILLIAMSON, R. C. (1996). Efficient agnostic learning of neural networks with bounded fan-in. IEEE Trans. Inform. Theory 42 2118-2132.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 2118-2132
    • Lee, W.S.1    Bartlett, P.L.2    Williamson, R.C.3
  • 15
    • 0002228695 scopus 로고
    • Remarks on projection pursuit regression and density estimation
    • REJTO, L. and WALTER, G. G. (1992). Remarks on projection pursuit regression and density estimation. Stochastic Anal. Appl. 10 213-222.
    • (1992) Stochastic Anal. Appl. , vol.10 , pp. 213-222
    • Rejto, L.1    Walter, G.G.2
  • 16
    • 0032202061 scopus 로고    scopus 로고
    • On the infeasibility of training neural networks with small mean-squared error
    • VU, V. H. (1998). On the infeasibility of training neural networks with small mean-squared error. IEEE Trans. Inform. Theory 44 2892-2900.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 2892-2900
    • Vu, V.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.