-
1
-
-
0024861871
-
Approximation by superpositions of a sigmoidal function
-
Cybenko G. Approximation by superpositions of a sigmoidal function. Math. Control Signals Syst. 2 (1989) 303-314
-
(1989)
Math. Control Signals Syst.
, vol.2
, pp. 303-314
-
-
Cybenko, G.1
-
2
-
-
0024866495
-
On the approximate realization of continuous mappings by neural networks
-
Funahashi K.I. On the approximate realization of continuous mappings by neural networks. Neural Networks 2 (1989) 183-192
-
(1989)
Neural Networks
, vol.2
, pp. 183-192
-
-
Funahashi, K.I.1
-
3
-
-
0025627940
-
Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks
-
Hornik K., Stinchcombe M., and White H. Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks. Neural Networks 3 (1990) 551-560
-
(1990)
Neural Networks
, vol.3
, pp. 551-560
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
-
4
-
-
0027262895
-
Multilayer feedforward networks with a nonpolynomial activation function can approximate any function
-
Leshno M., Lin V.Y., Pinkus A., and Schochen S. Multilayer feedforward networks with a nonpolynomial activation function can approximate any function. Neural Networks 6 (1993) 861-867
-
(1993)
Neural Networks
, vol.6
, pp. 861-867
-
-
Leshno, M.1
Lin, V.Y.2
Pinkus, A.3
Schochen, S.4
-
5
-
-
0026727494
-
Approximation of a function and its derivative with a neural network
-
Cardaliaguet P., and Euvrard G. Approximation of a function and its derivative with a neural network. Neural Networks 5 (1992) 207-220
-
(1992)
Neural Networks
, vol.5
, pp. 207-220
-
-
Cardaliaguet, P.1
Euvrard, G.2
-
6
-
-
0026449851
-
On learning the derivatives of an unknown mapping with multilayer feedforward networks
-
Gallant A.R., and White H. On learning the derivatives of an unknown mapping with multilayer feedforward networks. Neural Networks 5 (1992) 129-138
-
(1992)
Neural Networks
, vol.5
, pp. 129-138
-
-
Gallant, A.R.1
White, H.2
-
7
-
-
0030221938
-
Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer
-
Li X. Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer. Neurocomputing 12 (1996) 327-343
-
(1996)
Neurocomputing
, vol.12
, pp. 327-343
-
-
Li, X.1
-
8
-
-
24344486886
-
p-approximation order for neural networks
-
p-approximation order for neural networks. Neural Networks 18 (2005) 914-923
-
(2005)
Neural Networks
, vol.18
, pp. 914-923
-
-
Xu, Z.B.1
Cao, F.L.2
-
9
-
-
21344441889
-
Nonlinearity creates linear independence
-
Ito Y. Nonlinearity creates linear independence. Adv. Comput. Math. 5 (1996) 189-203
-
(1996)
Adv. Comput. Math.
, vol.5
, pp. 189-203
-
-
Ito, Y.1
-
10
-
-
0009625590
-
Superposition of linearly independent functions and finite mappings by neural networks
-
Ito Y., and Saito K. Superposition of linearly independent functions and finite mappings by neural networks. Math. Sci. 21 (1996) 27-33
-
(1996)
Math. Sci.
, vol.21
, pp. 27-33
-
-
Ito, Y.1
Saito, K.2
-
11
-
-
0042162507
-
Independence of unscaled basis functions and finite mappings by neural networks
-
Ito Y. Independence of unscaled basis functions and finite mappings by neural networks. Math. Sci. 26 (2001) 117-126
-
(2001)
Math. Sci.
, vol.26
, pp. 117-126
-
-
Ito, Y.1
-
12
-
-
0026904597
-
Feedforward nets for interpolation and classification
-
Sontag E.D. Feedforward nets for interpolation and classification. J. Comput. Syst. Sci. 45 (1992) 20-48
-
(1992)
J. Comput. Syst. Sci.
, vol.45
, pp. 20-48
-
-
Sontag, E.D.1
-
13
-
-
85011438572
-
Approximation theory of the MLP model in neural networks
-
Pinkus A. Approximation theory of the MLP model in neural networks. Acta Numer. (1999) 143-195
-
(1999)
Acta Numer.
, pp. 143-195
-
-
Pinkus, A.1
-
14
-
-
0025538692
-
-
Y. Shrivastava, S. Dasgupta, Neural networks for exact matching of functions on a discrete domain, in: Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, 1990, p. 1719.
-
-
-
-
15
-
-
0026190194
-
A simple method to derive bounds on the size and to train multilayer neural networks
-
Sartori M.A., and Antsaklis P.J. A simple method to derive bounds on the size and to train multilayer neural networks. IEEE Trans. Neural Networks 2-4 (1991) 467-471
-
(1991)
IEEE Trans. Neural Networks
, vol.2-4
, pp. 467-471
-
-
Sartori, M.A.1
Antsaklis, P.J.2
-
16
-
-
0031100287
-
Capabilities of a four-layered feedforward neural network
-
Tamura S., and Tateishi M. Capabilities of a four-layered feedforward neural network. IEEE Trans. Neural Networks 8-2 (1997) 251-255
-
(1997)
IEEE Trans. Neural Networks
, vol.8-2
, pp. 251-255
-
-
Tamura, S.1
Tateishi, M.2
-
17
-
-
0031673055
-
Feedforward neural networks with arbitrary bounded nonlinear activation functions
-
Huang G.B., and Babri H.A. Feedforward neural networks with arbitrary bounded nonlinear activation functions. IEEE Trans. Neural Networks 9-1 (1998) 224-229
-
(1998)
IEEE Trans. Neural Networks
, vol.9-1
, pp. 224-229
-
-
Huang, G.B.1
Babri, H.A.2
-
18
-
-
28244460747
-
Constructive approximate interpolation by neural networks
-
Llanas B., and Sainz F.J. Constructive approximate interpolation by neural networks. J. Comput. Appl. Math. 188 (2006) 283-308
-
(2006)
J. Comput. Appl. Math.
, vol.188
, pp. 283-308
-
-
Llanas, B.1
Sainz, F.J.2
-
19
-
-
0036644587
-
Interpolation by ridge polynomials and its application in neural networks
-
Li X. Interpolation by ridge polynomials and its application in neural networks. J. Comput. Appl. Math. 144 (2002) 197-209
-
(2002)
J. Comput. Appl. Math.
, vol.144
, pp. 197-209
-
-
Li, X.1
-
21
-
-
0031214134
-
Approximations of functions by a multilayer perceptron: a new approach
-
Attali J.G., and Pagès G. Approximations of functions by a multilayer perceptron: a new approach. Neural Networks 10 (1997) 1069-1081
-
(1997)
Neural Networks
, vol.10
, pp. 1069-1081
-
-
Attali, J.G.1
Pagès, G.2
-
22
-
-
4644369885
-
Norms and exclusion theorems
-
Bauer F.L., and Fike C.T. Norms and exclusion theorems. Numer. Math. 2 (1960) 137-141
-
(1960)
Numer. Math.
, vol.2
, pp. 137-141
-
-
Bauer, F.L.1
Fike, C.T.2
-
23
-
-
0034289836
-
On the history of multivariate polynomial interpolation
-
Gasca M., and Sauer T. On the history of multivariate polynomial interpolation. J. Comput. Appl. Math. 122 (2000) 23-35
-
(2000)
J. Comput. Appl. Math.
, vol.122
, pp. 23-35
-
-
Gasca, M.1
Sauer, T.2
-
24
-
-
0034289862
-
Multivariate Hermite interpolation by algebraic polynomials: a survey
-
Lorentz R.A. Multivariate Hermite interpolation by algebraic polynomials: a survey. J. Comput. Appl. Math. 122 (2000) 167-201
-
(2000)
J. Comput. Appl. Math.
, vol.122
, pp. 167-201
-
-
Lorentz, R.A.1
-
25
-
-
34548118933
-
-
H.E. Salzer, G.M. Kimbro, Tables for bivariate osculatory interpolation over a Cartesian grid. Convair Astronautics, 1958.
-
-
-
-
27
-
-
0042230803
-
On a class of Hermite interpolation problems
-
Hakopian H.A. On a class of Hermite interpolation problems. Adv. Comput. Math. 12 (2000) 303-309
-
(2000)
Adv. Comput. Math.
, vol.12
, pp. 303-309
-
-
Hakopian, H.A.1
-
28
-
-
34548133849
-
On lattices admitting unique Lagrange interpolations
-
Chung K.C., and Yao T.H. On lattices admitting unique Lagrange interpolations. SIAM J. Numer. Anal. 22 (1977) 107-113
-
(1977)
SIAM J. Numer. Anal.
, vol.22
, pp. 107-113
-
-
Chung, K.C.1
Yao, T.H.2
-
29
-
-
0000095933
-
Construction of lattices for Lagrange interpolation in projective space
-
Lee S.L., and Phillips G.M. Construction of lattices for Lagrange interpolation in projective space. Constr. Approx. 7 (1991) 283-297
-
(1991)
Constr. Approx.
, vol.7
, pp. 283-297
-
-
Lee, S.L.1
Phillips, G.M.2
-
32
-
-
0027246977
-
On the derivatives of the sigmoid
-
Minai A.A., and Williams R.D. On the derivatives of the sigmoid. Neural Networks 6 (1993) 845-853
-
(1993)
Neural Networks
, vol.6
, pp. 845-853
-
-
Minai, A.A.1
Williams, R.D.2
-
33
-
-
0000835513
-
Lower bounds for the condition number of Vandermonde matrices
-
Gaustschi W., and Inglese G. Lower bounds for the condition number of Vandermonde matrices. Numer. Math. 52 (1988) 241-250
-
(1988)
Numer. Math.
, vol.52
, pp. 241-250
-
-
Gaustschi, W.1
Inglese, G.2
|