-
1
-
-
0003754285
-
Simulated Annealing and Boltzmann Machines: A Stochastic Approach to Combinatorial Optimization and Neural Computing
-
New York: Wiley
-
E. Aarts J. Korst Simulated Annealing and Boltzmann Machines A Stochastic Approach to Combinatorial Optimization and Neural Computing 1989 Wiley New York
-
(1989)
-
-
Aarts, E.1
Korst, J.2
-
2
-
-
5844297152
-
Theory of reproducing kernels
-
N. Aronszajn Theory of reproducing kernels Trans. Amer. Math. J. 68 1950 337-404
-
(1950)
Trans. Amer. Math. J.
, vol.68
, pp. 337-404
-
-
Aronszajn, N.1
-
3
-
-
0027599793
-
Universal approximation bounds for superpositions of a sigmoidal function
-
A.R. Barron Universal approximation bounds for superpositions of a sigmoidal function IEEE Trans. Inform. Theory 39 1993 930-945
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, pp. 930-945
-
-
Barron, A.R.1
-
4
-
-
0003787146
-
-
Princeton, NJ: Princeton University Press
-
R. Bellman Dynamic Programming 1957 Princeton University Press Princeton, NJ
-
(1957)
Dynamic Programming
-
-
Bellman, R.1
-
6
-
-
77957009494
-
Linear inverse and ill-posed problems
-
M. Bertero Linear inverse and ill-posed problems Adv. Electron. Electron Phys. 75 1989 1-120
-
(1989)
Adv. Electron. Electron Phys.
, vol.75
, pp. 1-120
-
-
Bertero, M.1
-
9
-
-
0003798635
-
An Introduction to Support Vector Machines and Other Kernel-Based Learning Methods
-
Cambridge: Cambridge University Press
-
N. Cristianini J. Shawe-Taylor An Introduction to Support Vector Machines and Other Kernel-Based Learning Methods 2000 Cambridge University Press Cambridge
-
(2000)
-
-
Cristianini, N.1
Shawe-Taylor, J.2
-
10
-
-
0036071370
-
On the mathematical foundations of learning
-
F. Cucker S. Smale On the mathematical foundations of learning Bull. Amer. Math. Soc. 39 2001 1-49
-
(2001)
Bull. Amer. Math. Soc.
, vol.39
, pp. 1-49
-
-
Cucker, F.1
Smale, S.2
-
11
-
-
0036436325
-
Best choices for regularization parameters in learning theory: On the bias-variance problem
-
F. Cucker S. Smale Best choices for regularization parameters in learning theory: On the bias-variance problem Found. Comput. Math. 2 2002 413-428
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 413-428
-
-
Cucker, F.1
Smale, S.2
-
12
-
-
0042156952
-
Some remarks on the condition number of a real random square matrix
-
J.A. Cuesta-Albertos M. Wschebor Some remarks on the condition number of a real random square matrix J. Complexity 19 2003 548-554
-
(2003)
J. Complexity
, vol.19
, pp. 548-554
-
-
Cuesta-Albertos, J.A.1
Wschebor, M.2
-
13
-
-
0043069541
-
The geometry of ill-conditioning
-
J. Demmel The geometry of ill-conditioning J. Complexity 3 1987 201-229
-
(1987)
J. Complexity
, vol.3
, pp. 201-229
-
-
Demmel, J.1
-
14
-
-
0003429641
-
-
Lecture Notes in Control and Information Sciences Springer, Berlin, Heidelberg
-
A.L. Dontchev, Perturbations, Approximations, and Sensitivity Analysis of Optimal Control Systems, Lecture Notes in Control and Information Sciences, vol. 52, Springer, Berlin, Heidelberg, 1983.
-
(1983)
Perturbations, Approximations, and Sensitivity Analysis of Optimal Control Systems
, vol.52
-
-
Dontchev, A.L.1
-
15
-
-
0003201683
-
Well-Posed Optimization Problems
-
Springer, Berlin, Heidelberg
-
A.L. Dontchev, T. Zolezzi, Well-Posed Optimization Problems, Lecture Notes in Mathemathics, vol. 1543, Springer, Berlin, Heidelberg, 1993.
-
(1993)
Lecture Notes in Mathemathics
, vol.1543
-
-
Dontchev, A.L.1
Zolezzi, T.2
-
16
-
-
0000065292
-
Regularization theory, Radial Basis Functions and networks
-
V. Cherkassky J.H. Friedman H. Wechsler, Springer Berlin
-
F. Girosi, Regularization theory, Radial Basis Functions and networks, in: V. Cherkassky, J.H. Friedman, H. Wechsler (Eds.) From Statistics to Neural Networks, Theory and Pattern Recognition Applications - Subseries F, Computer and Systems Sciences, Springer, Berlin, 1994,, pp. 166-187.
-
(1994)
From Statistics to Neural Networks, Theory and Pattern Recognition Applications - Subseries F, Computer and Systems Sciences
, pp. 166-187
-
-
Girosi, F.1
-
17
-
-
0000249788
-
An equivalence between sparse approximation and support vector machines
-
F. Girosi An equivalence between sparse approximation and support vector machines Neural Comput. 10 1998 1455-1480
-
(1998)
Neural Comput.
, vol.10
, pp. 1455-1480
-
-
Girosi, F.1
-
18
-
-
0001219859
-
Regularization theory and neural networks architectures
-
F. Girosi M. Jones T. Poggio Regularization theory and neural networks architectures Neural Comput. 7 1995 219-269
-
(1995)
Neural Comput.
, vol.7
, pp. 219-269
-
-
Girosi, F.1
Jones, M.2
Poggio, T.3
-
20
-
-
0000796112
-
A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
-
L.K. Jones A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training Ann. Statist. 20 1992 608-613
-
(1992)
Ann. Statist.
, vol.20
, pp. 608-613
-
-
Jones, L.K.1
-
21
-
-
0000406385
-
A correspondence between Bayesian estimation on stochastic processes and smoothing by splines
-
G.S. Kimeldorf G. Wahba A correspondence between Bayesian estimation on stochastic processes and smoothing by splines Ann. Math. Statist. 41 1970 495-502
-
(1970)
Ann. Math. Statist.
, vol.41
, pp. 495-502
-
-
Kimeldorf, G.S.1
Wahba, G.2
-
23
-
-
4043167595
-
High-dimensional approximation by neural networks
-
J. Stuykens et al. (Eds.) IOS Press Amsterdam
-
V. Kůrková High-dimensional approximation by neural networks, in: J. Stuykens et al. (Eds.) Advances in Learning Theory Methods, Models and Applications, IOS Press, Amsterdam, 2003, pp. 69-88.
-
(2003)
Advances in Learning Theory: Methods, Models and Applications
, pp. 69-88
-
-
Kůrková, V.1
-
24
-
-
18144423627
-
Learning from data as an inverse problem
-
J. Antoch (Ed.) Physica-Verlag Springer Heidelberg
-
V. Kůrková Learning from data as an inverse problem J. Antoch (Ed.) COMPSTAT 2004 - Proceedings in Computational Statistics, Physica-Verlag Springer Heidelberg 2004, pp. 1377-1384.
-
(2004)
COMPSTAT 2004 - Proceedings in Computational Statistics
, pp. 1377-1384
-
-
Kůrková, V.1
-
25
-
-
0035443484
-
Bounds on rates of variable-basis and neural-network approximation
-
V. Kůrková M. Sanguineti Bounds on rates of variable-basis and neural-network approximation IEEE Trans. Inform. Theory 47 2001 2659-2665
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 2659-2665
-
-
Kůrková, V.1
Sanguineti, M.2
-
26
-
-
0036165028
-
Comparison of worst case errors in linear and neural network approximation
-
V. Kůrková M. Sanguineti Comparison of worst case errors in linear and neural network approximation IEEE Trans. Inform. Theory 48 2002 264-275
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 264-275
-
-
Kůrková, V.1
Sanguineti, M.2
-
27
-
-
18744392546
-
Error estimates for approximate optimization by the extended Ritz method
-
to appear
-
V. Kůrková, M. Sanguineti, Error estimates for approximate optimization by the extended Ritz method, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Kůrková, V.1
Sanguineti, M.2
-
28
-
-
0032096332
-
Representations and rates of approximation of real - Valued Boolean functions by neural networks
-
V. Kůrková P. Savický K. Hlaváčková Representations and rates of approximation of real-valued Boolean functions by neural networks Neural Networks 11 1998 651-659
-
(1998)
Neural Networks
, vol.11
, pp. 651-659
-
-
Kůrková, V.1
Savický, P.2
Hlaváčková, K.3
-
29
-
-
0001671709
-
Convergence of minimizing sequences in conditional extremum problems
-
(English translation: Dokl. Akad. Nauk SSSR 168 (1966) 997-1000)
-
E.S. Levitin B.T. Polyak Convergence of minimizing sequences in conditional extremum problems Sov. Math. Dokl. 7 1996 764-767 (English translation: Dokl. Akad. Nauk SSSR 168 (1966) 997-1000).
-
(1996)
Sov. Math. Dokl.
, vol.7
, pp. 764-767
-
-
Levitin, E.S.1
Polyak, B.T.2
-
30
-
-
0003991797
-
-
Philadelphia: SIAM. (reprint of the 1972 edition by Academic Press, New York)
-
J.M. Ortega Numerical Analysis A Second Course 1990 SIAM Philadelphia (reprint of the 1972 edition by Academic Press, New York)
-
(1990)
Numerical Analysis: A Second Course
-
-
Ortega, J.M.1
-
31
-
-
0000461110
-
An approach to time series analysis
-
E. Parzen An approach to time series analysis Ann. Math. Statist. 32 1961 951-989
-
(1961)
Ann. Math. Statist.
, vol.32
, pp. 951-989
-
-
Parzen, E.1
-
32
-
-
0003345901
-
Remarques sur un résultat non publié de B. Maurey
-
Exposé no. V, École Polytechnique, Centre de Mathématiques, Palaiseau, France
-
G. Pisier, Remarques sur un résultat non publié de B. Maurey, Séminaire d'Analyse Fonctionnelle, 1980-81, Exposé no. V, École Polytechnique, Centre de Mathématiques, Palaiseau, France, pp. V.1-V.12.
-
(1980)
Séminaire D'Analyse Fonctionnelle
-
-
Pisier, G.1
-
33
-
-
0025490985
-
Networks for approximation and learning
-
T. Poggio F. Girosi Networks for approximation and learning Proc. IEEE 78 1990 1481-1497
-
(1990)
Proc. IEEE
, vol.78
, pp. 1481-1497
-
-
Poggio, T.1
Girosi, F.2
-
34
-
-
0025056697
-
Regularization algorithms for learning that are equivalent to multilayer networks
-
T. Poggio F. Girosi Regularization algorithms for learning that are equivalent to multilayer networks Science 247 1990 978-982
-
(1990)
Science
, vol.247
, pp. 978-982
-
-
Poggio, T.1
Girosi, F.2
-
35
-
-
0242705996
-
The mathematics of learning: Dealing with data
-
T. Poggio S. Smale The mathematics of learning: Dealing with data Notices Amer. Math. Soc. 50 2003 536-544
-
(2003)
Notices Amer. Math. Soc.
, vol.50
, pp. 536-544
-
-
Poggio, T.1
Smale, S.2
-
36
-
-
84865131152
-
-
Lecture Notes in Artificial Intelligence (Proceedings of the Annual Conference on Computational Learning Theory-COLT), Springer, London
-
B. Schölkopf, R. Herbrich, A.J. Smola, R.C. Williamson. A generalized Representer Theorem, Lecture Notes in Artificial Intelligence (Proceedings of the Annual Conference on Computational Learning Theory-COLT), Springer, London, 2001, pp. 416-426.
-
(2001)
A Generalized Representer Theorem
, pp. 416-426
-
-
Schölkopf, B.1
Herbrich, R.2
Smola, A.J.3
Williamson, R.C.4
-
38
-
-
0001743201
-
Metric spaces and completely monotone functions
-
I.J. Schönberg Metric spaces and completely monotone functions Ann. Math. 39 1938 811-841
-
(1938)
Ann. Math.
, vol.39
, pp. 811-841
-
-
Schönberg, I.J.1
-
40
-
-
0001300994
-
Solutions of incorrectly formulated problems and the regularization method
-
A.N. Tikhonov Solutions of incorrectly formulated problems and the regularization method Soviet Math. Dokl. 4 1963 1035-1038
-
(1963)
Soviet Math. Dokl.
, vol.4
, pp. 1035-1038
-
-
Tikhonov, A.N.1
-
41
-
-
0003664883
-
Solutions of Ill-posed Problems
-
Washington, DC: W.H. Winston
-
A.N. Tikhonov V.Y. Arsenin Solutions of Ill-posed Problems 1977 W.H. Winston Washington, DC
-
(1977)
-
-
Tikhonov, A.N.1
Arsenin, V.Y.2
-
44
-
-
0003241881
-
Splines Models for Observational Data
-
CBMS-NSF SIAM, Philadelphia, PA
-
G. Wahba, Splines Models for Observational Data, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 59. SIAM, Philadelphia, PA, 1990.
-
(1990)
CBMS-NSF Regional Conference Series in Applied Mathematics
, vol.59
-
-
Wahba, G.1
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