-
3
-
-
85156194133
-
Exponentially many local minima for single neurons
-
D. S. Touretzky, M. C. Mozer, and M. E. Hasselmo, Eds. Cambodge, MA: MIT Press
-
P. Auer, M. Herbster, and M. Warmuth, "Exponentially many local minima for single neurons," in Advances in Neural Information Processing Systems 8, D. S. Touretzky, M. C. Mozer, and M. E. Hasselmo, Eds. Cambodge, MA: MIT Press, 1996, pp. 316-322.
-
(1996)
Advances in Neural Information Processing Systems
, vol.8
, pp. 316-322
-
-
Auer, P.1
Herbster, M.2
Warmuth, M.3
-
4
-
-
0027599793
-
Universal approximation bound for superpositions of a sigmoidal function
-
A. R. Barron, "Universal approximation bound 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
-
5
-
-
0003073642
-
Statistical learning networks: A unifying view
-
E. Wegman, Ed.. Washington, D.C.
-
A. R. Barron and R. L. Barron, "Statistical learning networks: a unifying view," in Comput. Sci. Statist.: Proc. 20th Symp. Interface, E. Wegman, Ed.. Washington, D.C., 1988, pp. 192-203.
-
(1988)
Comput. Sci. Statist.: Proc. 20th Symp. Interface
, pp. 192-203
-
-
Barron, A.R.1
Barron, R.L.2
-
6
-
-
0013037041
-
Almost linear vc dimension bounds for piecwise polynomial networks
-
P. L. Bartlett, V. Maiorov, and R. Meir, "Almost linear vc dimension bounds for piecwise polynomial networks," Neural Comput., vol. 10, pp. 2159-2173, 1998.
-
(1998)
Neural Comput.
, vol.10
, pp. 2159-2173
-
-
Bartlett, P.L.1
Maiorov, V.2
Meir, R.3
-
9
-
-
0002786665
-
Spline approximation by quasiinterpolation
-
C. de Boor and G. Fix, "Spline approximation by quasiinterpolation," J. Approx. Theory, vol. 7, pp. 19-45, 1973.
-
(1973)
J. Approx. Theory
, vol.7
, pp. 19-45
-
-
De Boor, C.1
Fix, G.2
-
10
-
-
0029207175
-
n) by multilayer feedforward networks and related problems
-
n) by multilayer feedforward networks and related problems," IEEE Trans. Neural Networks, vol. 6, no. 1, pp. 25-30, 1995.
-
(1995)
IEEE Trans. Neural Networks
, vol.6
, Issue.1
, pp. 25-30
-
-
Chen, H.1
Chen, T.2
Liu, R.3
-
11
-
-
0024861871
-
Approximation by superpositions of a sigmoidal function
-
G. Cybenko, "Approximation by superpositions of a sigmoidal function," Math. Contr., Signals, Syst., vol. 2, pp. 303-314, 1989.
-
(1989)
Math. Contr., Signals, Syst.
, vol.2
, pp. 303-314
-
-
Cybenko, G.1
-
12
-
-
0029264328
-
Accuracy analysis for wavelet approximations
-
B. Delyon, A. Juditsky, and A. Benveniste, "Accuracy analysis for wavelet approximations," IEEE Trans. Neural Networks, vol. 6, pp. 332-348, 1995.
-
(1995)
IEEE Trans. Neural Networks
, vol.6
, pp. 332-348
-
-
Delyon, B.1
Juditsky, A.2
Benveniste, A.3
-
13
-
-
85009724776
-
Nonlinear approximation
-
R. DeVore, "Nonlinear approximation," Acta Numerica, vol. 7, pp. 51-151, 1998.
-
(1998)
Acta Numerica
, vol.7
, pp. 51-151
-
-
DeVore, R.1
-
15
-
-
0000330245
-
Approximation by feed-forward neural networks
-
R. A. DeVore, K. I. Oskolkov, and P. P. Petrushev, "Approximation by feed-forward neural networks, "Ann. Numer. Math., vol. 4, pp. 261-287, 1997.
-
(1997)
Ann. Numer. Math.
, vol.4
, pp. 261-287
-
-
DeVore, R.A.1
Oskolkov, K.I.2
Petrushev, P.P.3
-
16
-
-
0029717957
-
A note on error bounds for approximation in innerproduct spaces
-
A. T. Dingankar and I. W. Sandberg, "A note on error bounds for approximation in innerproduct spaces," Circuits, Syst., Signal Processing, vol. 15, no. 4, pp. 519-522, 1996.
-
(1996)
Circuits, Syst., Signal Processing
, vol.15
, Issue.4
, pp. 519-522
-
-
Dingankar, A.T.1
Sandberg, I.W.2
-
17
-
-
0031624051
-
A note on errorbounds for function approximation using nonlinear networks
-
I. W. Dingankar and A. T. Sandberg, "A note on errorbounds for function approximation using nonlinear networks," Circuits, Syst. Signal Processing, vol. 17, no. 4, pp. 449-457, 1998.
-
(1998)
Circuits, Syst. Signal Processing
, vol.17
, Issue.4
, pp. 449-457
-
-
Dingankar, I.W.1
Sandberg, A.T.2
-
18
-
-
0031531584
-
Rates of convex approximation in nonhilbert spaces
-
M. J. Donahue, L. Gurvits, C. Darken, and E. Sontag, "Rates of convex approximation in nonhilbert spaces," Constructive Approx., vol. 13, pp. 187-220, 1997.
-
(1997)
Constructive Approx.
, vol.13
, pp. 187-220
-
-
Donahue, M.J.1
Gurvits, L.2
Darken, C.3
Sontag, E.4
-
19
-
-
0000742672
-
Wavelet shrinkage: Asymptopia?
-
D. L. Donoho and I. M. Johnstone, "Wavelet shrinkage: Asymptopia?," J. Royal Statist. Soc. B, vol. 57, no. 2, pp. 301-369, 1995.
-
(1995)
J. Royal Statist. Soc. B
, vol.57
, Issue.2
, pp. 301-369
-
-
Donoho, D.L.1
Johnstone, I.M.2
-
20
-
-
0000155950
-
The cascade-correlation learning architecture
-
D. S. Touretzky, Ed. San Mateo, CA: Morgan Kaufmann
-
S. E. Fahlman and C. Labiere, "The cascade-correlation learning architecture," in Advances in Neural Information Processing Systems, D. S. Touretzky, Ed. San Mateo, CA: Morgan Kaufmann, 1990.
-
(1990)
Advances in Neural Information Processing Systems
-
-
Fahlman, S.E.1
Labiere, C.2
-
22
-
-
0024866495
-
On the approximate realization of continuous mappings by neural networks
-
K. Funahashi, "On the approximate realization of continuous mappings by neural networks," Neural Networks, vol. 2, pp. 183-192, 1989.
-
(1989)
Neural Networks
, vol.2
, pp. 183-192
-
-
Funahashi, K.1
-
23
-
-
0003543733
-
-
Cambridge, U.K.: Cambridge Univ. Press
-
G. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1952.
-
(1952)
Inequalities, 2nd Ed.
-
-
Hardy, G.1
Littlewood, J.E.2
Polya, G.3
-
24
-
-
0024880831
-
Multilayer feedforward networks are universal function approximators
-
K. Hornik, M. Stinchcombe, and H. White, "Multilayer feedforward networks are universal function approximators," Neural Networks, vol. 2, pp. 359-366, 1989.
-
(1989)
Neural Networks
, vol.2
, pp. 359-366
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
-
25
-
-
0000796112
-
A simple lemma on greedy approximation in Hilbert space and convergence rate for projection pursuit regression and neural network training
-
L. Jones, "A simple lemma on greedy approximation in Hilbert space and convergence rate for projection pursuit regression and neural network training," Ann. Statist., vol. 20, pp. 608-613, 1992.
-
(1992)
Ann. Statist.
, vol.20
, pp. 608-613
-
-
Jones, L.1
-
26
-
-
0001556720
-
Efficient Agnostic learning of neural networks with bounded fan-in
-
W. S. Lee, P. S. Bartlett, and R. C. Williamson, "Efficient Agnostic learning of neural networks with bounded fan-in," IEEE Trans. Inform. Theory, vol. 42, no. 6, pp. 2118-2132, 1996.
-
(1996)
IEEE Trans. Inform. Theory
, vol.42
, Issue.6
, pp. 2118-2132
-
-
Lee, W.S.1
Bartlett, P.S.2
Williamson, R.C.3
-
27
-
-
0027262895
-
Multilayer feedforward networks with a nonpolynomial activation function can approximate any function
-
M. Leshno, V. Lin, A. Pinkus, and S. Schocken, "Multilayer feedforward networks with a nonpolynomial activation function can approximate any function," Neural Networks, vol. 6, pp. 861-867, 1993.
-
(1993)
Neural Networks
, vol.6
, pp. 861-867
-
-
Leshno, M.1
Lin, V.2
Pinkus, A.3
Schocken, S.4
-
29
-
-
0002667327
-
On best approximation by ridge functions
-
V. E. Maiorov, "On best approximation by ridge functions," J. Approx. Theory, vol. 99, pp. 68-94, 1999.
-
(1999)
J. Approx. Theory
, vol.99
, pp. 68-94
-
-
Maiorov, V.E.1
-
30
-
-
0034395382
-
On the near optimality of the stochastic approximation of smooth functions by neural network
-
to be published
-
V. E. Maiorov and R. Meir, "On the near optimality of the stochastic approximation of smooth functions by neural network," Advances Computa. Math., 2000, to be published.
-
(2000)
Advances Computa. Math.
-
-
Maiorov, V.E.1
Meir, R.2
-
31
-
-
0033239776
-
On the degree of approximation using manifolds of finite pseudo-dimension
-
V. E. Maiorov and J. Ratsaby, "On the degree of approximation using manifolds of finite pseudo-dimension," J. Constr. Approx., vol. 15, pp. 291-300, 1999.
-
(1999)
J. Constr. Approx.
, vol.15
, pp. 291-300
-
-
Maiorov, V.E.1
Ratsaby, J.2
-
33
-
-
0000041417
-
Neural networks for optimal approximation of smooth and analytic functions
-
H. Mhaskar, "Neural networks for optimal approximation of smooth and analytic functions," Neural Computa., vol. 8, no. 1, pp. 164-177, 1996.
-
(1996)
Neural Computa.
, vol.8
, Issue.1
, pp. 164-177
-
-
Mhaskar, H.1
-
34
-
-
0040304049
-
Transform analysis of generalized functions
-
Amsterdam, The Netherlands: North-Holland
-
O. P. Misra and J. L. Lavoine, "Transform analysis of generalized functions," in North-Holland Math Studies. Amsterdam, The Netherlands: North-Holland, 1986.
-
(1986)
North-Holland Math Studies
-
-
Misra, O.P.1
Lavoine, J.L.2
-
36
-
-
0032283665
-
Aproximation by ridge functions and neural networks
-
P. P. Petrushev, "Aproximation by ridge functions and neural networks," SIAM J. Math. Anal., vol. 30, pp. 155-189, 1998.
-
(1998)
SIAM J. Math. Anal.
, vol.30
, pp. 155-189
-
-
Petrushev, P.P.1
-
38
-
-
85011438572
-
Approximation theory of the mlp model in neural networks
-
A. Pinkus, "Approximation theory of the mlp model in neural networks," Acta Numerica, vol. 8, pp. 143-195, 1999.
-
(1999)
Acta Numerica
, vol.8
, pp. 143-195
-
-
Pinkus, A.1
-
39
-
-
0009270747
-
The best m-term approximation and greedy algorithms
-
V N. Temlyakov, "The best m-term approximation and greedy algorithms," Advances in Computa. Math., vol. 8, no. 3, pp. 249-265, 1998.
-
(1998)
Advances in Computa. Math.
, vol.8
, Issue.3
, pp. 249-265
-
-
Temlyakov, V.N.1
-
43
-
-
33749959565
-
-
ser. Regional Conference Series in Aplied Mathematics. Philadelphia, PA: SIAM
-
G. Wahba, Spline Models for Observational Data, ser. Regional Conference Series in Aplied Mathematics. Philadelphia, PA: SIAM, 1990.
-
(1990)
Spline Models for Observational Data
-
-
Wahba, G.1
|