-
2
-
-
0027599793
-
Universal approximation bounds for superpositions of a sigmoidal function
-
—, “Universal approximation bounds for superpositions of a sigmoidal function,” IEEE Trans. Inform. Theory, vol. 39, pp. 930–945, 1993.
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, pp. 930-945
-
-
Barron, A.R.1
-
3
-
-
0024861871
-
Approximation by superpositions of a sigmoidal function
-
G. Cybenko, “Approximation by superpositions of a sigmoidal function,” Math. Contr., Sig., Syst., vol. 2, pp. 303–14, 1989.
-
(1989)
Math. Contr., Sig., Syst.
, vol.2
, pp. 303-314
-
-
Cybenko, G.1
-
4
-
-
84990575058
-
Orthonormal bases of compactly supported wavelets
-
I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., vol. 41, pp. 909–996, 1988.
-
(1988)
Commun. Pure Appl. Math.
, vol.41
, pp. 909-996
-
-
Daubechies, I.1
-
6
-
-
0027833246
-
Rate of approximation results motivated by robust neural network learning
-
ACM Press
-
C. Darken, M. Donahue, L. Gurvits, and E. Sontag, “Rate of approximation results motivated by robust neural network learning,” in Proc. 6th Annual ACM Conf. On Computational Learning Theory. ACM Press, 1993, pp. 303–309.
-
(1993)
Proc. 6th Annual ACM Conf. On Computational Learning Theory
, pp. 303-309
-
-
Darken, C.1
Donahue, M.2
Gurvits, L.3
Sontag, E.4
-
7
-
-
84939041282
-
Accuracy analysis for wavelet approximations
-
preprint
-
B. Delyon, A. Juditsky, and A. Benveniste, “Accuracy analysis for wavelet approximations,” preprint, 1992.
-
(1992)
-
-
Delyon, B.1
Juditsky, A.2
Benveniste, A.3
-
8
-
-
0000085854
-
-
(Ecole d'été de probabilités de St. Flour, Lecture Notes in Math.) New York: Springer
-
R. M. Dudley, A Course on Empirical Processes (Ecole d'été de probabilités de St. Flour, Lecture Notes in Math.) New York: Springer, 1997, pp. 1–142.
-
(1997)
A Course on Empirical Processes
, pp. 1-142
-
-
Dudley, R.M.1
-
9
-
-
0001605679
-
Universal Donsker classes and metric entropy
-
—, “Universal Donsker classes and metric entropy,” Annals Probab., vol. 15, pp. 1306–1326, 1987.
-
(1987)
Annals Probab.
, vol.15
, pp. 1306-1326
-
-
Dudley, R.M.1
-
10
-
-
0024866495
-
On the approximate realization of continuous mappings by neural networks
-
K. Funahashi, “On the approximate realization of continuous mappings by neural networks,” Neural Net., vol. 2, pp. 183–192, 1989.
-
(1989)
Neural Net.
, vol.2
, pp. 183-192
-
-
Funahashi, K.1
-
11
-
-
0000547548
-
An algorithm for the n Lyapunov exponents of an n-dimensional unknown dynamical system
-
R. Gencay and W. D. Dechert, “An algorithm for the n Lyapunov exponents of an n-dimensional unknown dynamical system,” Physica D, pp. 142–157, 1992.
-
(1992)
Physica D
, pp. 142-157
-
-
Gencay, R.1
Dechert, W.D.2
-
12
-
-
0027812765
-
Some new results on neural network approximation
-
K. Hornik, “Some new results on neural network approximation,” Neural Net., vol. 6, pp. 1069–1072, 1993.
-
(1993)
Neural Net.
, vol.6
, pp. 1069-1072
-
-
Hornik, K.1
-
13
-
-
0024880831
-
Multi-layer feedforward networks are universal approximators
-
K. Hornik, M. Stinchcombe, and H. White, “Multi-layer feedforward networks are universal approximators,” Neural Net., vol. 2, pp. 359–368, 1989.
-
(1989)
Neural Net.
, vol.2
, pp. 359-368
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
-
14
-
-
0025627940
-
Universal approximation of an unknown mapping and its derivatives using multi-layer feedforward networks
-
reprinted in Artificial Neural Networks: Approximation and Learning Theory, H. White, Ed. Oxford, UK: Blackwell, 1992
-
—, “Universal approximation of an unknown mapping and its derivatives using multi-layer feedforward networks,” Neural Net., vol. 3, pp. 551–560, 1990; reprinted in Artificial Neural Networks: Approximation and Learning Theory, H. White, Ed. Oxford, UK: Blackwell, 1992.
-
(1990)
Neural Net.
, vol.3
, pp. 551-560
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
-
15
-
-
0001307541
-
Degree of approximation results for feedforward networks approximating an unknown mapping and their derivatives
-
K. Hornik, M. Stinchcombe, H. White, and P. Auer, “Degree of approximation results for feedforward networks approximating an unknown mapping and their derivatives,” Neural Comput., vol. 6, pp. 1262–1275, 1994.
-
(1994)
Neural Comput.
, vol.6
, pp. 1262-1275
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
Auer, P.4
-
17
-
-
84939061562
-
Approximating production functions with feedforward networks
-
Washington State Univ., Dept. of Economics Discussion Paper
-
W. Joerding and Y. Li, “Approximating production functions with feedforward networks,” Washington State Univ., Dept. of Economics Discussion Paper, 1992.
-
(1992)
-
-
Joerding, W.1
Li, Y.2
-
18
-
-
0024921354
-
Generic constraints on underspecified target trajectories
-
New York: IEEE Press
-
M. Jordan, “Generic constraints on underspecified target trajectories,” in Proc. 1989 Int. Joint Conf. on Neural Networks. New York: IEEE Press, pt. I, pp. 217–225, 1989.
-
(1989)
Proc. 1989 Int. Joint Conf. on Neural Networks
, pp. 217-225
-
-
Jordan, M.1
-
19
-
-
0002895908
-
Pointwise convergence of wavelet expansions
-
S. Kelly, M. Kon, and L. Raphael, “Pointwise convergence of wavelet expansions,” Bull. AMS, vol. 30, pp. 87–94, 1994.
-
(1994)
Bull. AMS
, vol.30
, pp. 87-94
-
-
Kelly, S.1
Kon, M.2
Raphael, L.3
-
20
-
-
0001321136
-
On the representation of continuous functions of many variables by superpositions of continuous functions of one variable and addition
-
A. N. Kolmogorov, “On the representation of continuous functions of many variables by superpositions of continuous functions of one variable and addition,” Dokl. Akad. Nauk. SSSR, vol. 114, pp. 953–956, 1957.
-
(1957)
Dokl. Akad. Nauk. SSSR
, vol.114
, pp. 953-956
-
-
Kolmogorov, A.N.1
-
22
-
-
6944236669
-
Estimating the Lyapunov exponent of a chaotic system with nonparametric regression
-
D. McCaffrey, S. Ellner, A. R. Gallant, and D. Nychka, “Estimating the Lyapunov exponent of a chaotic system with nonparametric regression,” J. Amer. Statist. Assoc., vol. 87, pp. 682–695, 1992.
-
(1992)
J. Amer. Statist. Assoc.
, vol.87
, pp. 682-695
-
-
McCaffrey, D.1
Ellner, S.2
Gallant, A.R.3
Nychka, D.4
-
23
-
-
0001002401
-
Approximation and radial basis function networks
-
J. Park and I. Sandberg, “Approximation and radial basis function networks,” Neural Comput., vol. 5, pp. 305–316, 1993.
-
(1993)
Neural Comput.
, vol.5
, pp. 305-316
-
-
Park, J.1
Sandberg, I.2
-
24
-
-
0003345901
-
Remarques sur un resultat non-publié de B. Maurey
-
Seminaire d'analyse fonctionelle 1980–1981, Ecole Polytechnique, Centre de Mathématiques, Palaiseau, France
-
G. Pisier, “Remarques sur un resultat non-publié de B. Maurey,” Seminaire d'analyse fonctionelle 1980–1981, Ecole Polytechnique, Centre de Mathématiques, Palaiseau, France, 1981.
-
(1981)
-
-
Pisier, G.1
-
25
-
-
0039300573
-
Consistent specification testing with unidentified nuisance parameters using duality and Banach space limit theory
-
preprint
-
M. Stinchcombe and H. White, “Consistent specification testing with unidentified nuisance parameters using duality and Banach space limit theory,” preprint, 1994.
-
(1994)
-
-
Stinchcombe, M.1
White, H.2
-
27
-
-
0026955103
-
Wavelet networks
-
Q. Zhang and A. Benveniste, “Wavelet networks,” IEEE Trans. Neural Net., vol. 3, no. 6, pp. 889–898, 1992.
-
(1992)
IEEE Trans. Neural Net.
, vol.3
, Issue.6
, pp. 889-898
-
-
Zhang, Q.1
Benveniste, A.2
|