-
1
-
-
33747454027
-
The method of potential functions for the problem of restoring the characteristic of a function converter from randomly observed points
-
M. A. Aizerman, E. M. Braverman, and L. I. Rozonoer, “The method of potential functions for the problem of restoring the characteristic of a function converter from randomly observed points,” Automat. Remote Contr., vol. 25, pp. 1546–1556, 1964.
-
(1964)
Automat. Remote Contr.
, vol.25
, pp. 1546-1556
-
-
Aizerman, M.A.1
Braverman, E.M.2
Rozonoer, L.I.3
-
2
-
-
33747467331
-
The probability problem of pattern recognition learning and the method of potential functions
-
—, “The probability problem of pattern recognition learning and the method of potential functions,” Automat. Remote Contr., vol. 25, pp. 1307–1323, 1964.
-
(1964)
Automat. Remote Contr.
, vol.25
, pp. 1307-1323
-
-
Aizerman, M.A.1
Braverman, E.M.2
Rozonoer, L.I.3
-
3
-
-
84932021208
-
Theoretical foundations of the potential function method in pattern recognition learning
-
—, “Theoretical foundations of the potential function method in pattern recognition learning,” Automat. Remote Contr., vol. 25, pp. 917–936, 1964.
-
(1964)
Automat. Remote Contr.
, vol.25
, pp. 917-936
-
-
Aizerman, M.A.1
Braverman, E.M.2
Rozonoer, L.I.3
-
4
-
-
0024935434
-
Statistical properties of artificial neural networks
-
(Tampa, FL
-
A. R. Barron, “Statistical properties of artificial neural networks,” in Proc. 28th Conf. on Decision and Control (Tampa, FL, 1989.
-
(1989)
Proc. 28th Conf. on Decision and Control
-
-
Barron, A.R.1
-
6
-
-
0001347323
-
Complexity regularization with application to artificial neural networks
-
G. Roussas, Ed., (NATO ASI Series). Dordrecht, The Netherlands: Kluwer
-
—, “Complexity regularization with application to artificial neural networks,” in G. Roussas, Ed., Nonparametric Functional Estimation and Related Topics (NATO ASI Series). Dordrecht, The Netherlands: Kluwer, 1991, pp. 561–576.
-
(1991)
Nonparametric Functional Estimation and Related Topics
, pp. 561-576
-
-
Barron, A.R.1
-
7
-
-
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. 930–944, 1993.
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, pp. 930-944
-
-
Barron, A.R.1
-
8
-
-
0001325515
-
Approximation and estimation bounds for artificial neural networks
-
—, “Approximation and estimation bounds for artificial neural networks,” Machine Learning, vol. 14, pp. 115–133, 1994.
-
(1994)
Machine Learning
, vol.14
, pp. 115-133
-
-
Barron, A.R.1
-
9
-
-
0026190366
-
Minimum complexity density estimation
-
A. R. Barron and T. M. Cover, “Minimum complexity density estimation,” IEEE Trans. Inform. Theory, vol. 37, pp. 1034–1054, 1991.
-
(1991)
IEEE Trans. Inform. Theory
, vol.37
, pp. 1034-1054
-
-
Barron, A.R.1
Cover, T.M.2
-
10
-
-
21344492381
-
Rates of convergence for minimum contrast estimators
-
L. Birgé and P. Massart, “Rates of convergence for minimum contrast estimators,” Prob. Theory Related Fields, vol. 97, pp. 113–150, 1993.
-
(1993)
Prob. Theory Related Fields
, vol.97
, pp. 113-150
-
-
Birgé, L.1
Massart, P.2
-
11
-
-
0024750852
-
Learn-ability and the Vapnik—Chervonenkis dimension
-
A. Blumer, A. Ehrenfeucht, D. Haussler, and M. K. Warmuth, “Learn-ability and the Vapnik—Chervonenkis dimension,” J. ACM, vol. 36, pp. 929–965, 1989.
-
(1989)
J. ACM
, vol.36
, pp. 929-965
-
-
Blumer, A.1
Ehrenfeucht, A.2
Haussler, D.3
Warmuth, M.K.4
-
12
-
-
0003802343
-
-
Belmont, CA: Wadsworth Int.
-
L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees. Belmont, CA: Wadsworth Int., 1984.
-
(1984)
Classification and Regression Trees
-
-
Breiman, L.1
Friedman, J.H.2
Olshen, R.A.3
Stone, C.J.4
-
13
-
-
84938450574
-
Learning by canonical smooth estimation, Part I: Simultanious estimation
-
submitted to
-
K. L. Buescher and P. R. Kumar, “Learning by canonical smooth estimation, Part I: Simultanious estimation,” submitted to IEEE Trans. Automat. Contr., 1994.
-
(1994)
IEEE Trans. Automat. Contr.
-
-
Buescher, K.L.1
Kumar, P.R.2
-
14
-
-
33747732724
-
Learning by canonical smooth estimation, Part II: Learning and choice of model complexity
-
submitted to
-
—, “Learning by canonical smooth estimation, Part II: Learning and choice of model complexity,” submitted to IEEE Trans. Automat. Contr., 1994.
-
(1994)
IEEE Trans. Automat. Contr.
-
-
Buescher, K.L.1
Kumar, P.R.2
-
15
-
-
0001215143
-
Evaluation of an unknown distribution density from observations
-
N. N. Cencov, “Evaluation of an unknown distribution density from observations,” Sov. Math.—Dokl, vol. 3, pp. 1559–1562, 1962.
-
(1962)
Sov. Math.—Dokl
, vol.3
, pp. 1559-1562
-
-
Cencov, N.N.1
-
16
-
-
84918441630
-
Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition
-
T. M. Cover, “Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition,” IEEE Trans. Electron. Comput., vol. EC-14, pp. 326–334, 1965.
-
(1965)
IEEE Trans. Electron. Comput.
, vol.EC-14
, pp. 326-334
-
-
Cover, T.M.1
-
17
-
-
0001767268
-
Approximation of least squares regression on nested subspaces
-
D. D. Cox, “Approximation of least squares regression on nested subspaces,” Annals Statist., vol. 16, pp. 713–732, 1988.
-
(1988)
Annals Statist.
, vol.16
, pp. 713-732
-
-
Cox, D.D.1
-
18
-
-
0024861871
-
Approximations by superpositions of sigmoidal functions
-
G. Cybenko, “Approximations by superpositions of sigmoidal functions,” Math. Contr., Signals, Syst., vol. 2, pp. 303–314, 1989.
-
(1989)
Math. Contr., Signals, Syst.
, vol.2
, pp. 303-314
-
-
Cybenko, G.1
-
19
-
-
0020098693
-
Any discrimination rule can have an arbitrarily bad probability of error for finite sample size
-
L. Devroye, “Any discrimination rule can have an arbitrarily bad probability of error for finite sample size,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-4, pp. 154–157, 1982.
-
(1982)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.PAMI-4
, pp. 154-157
-
-
Devroye, L.1
-
20
-
-
0024053797
-
Automatic pattern recognition: A study of the probability of error
-
L. Devroye, “Automatic pattern recognition: A study of the probability of error,” IEEE Trans. Pattern Anal. Machine Intell., vol. 10, pp. 530–543, 1988.
-
(1988)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.10
, pp. 530-543
-
-
Devroye, L.1
-
21
-
-
0001844070
-
Distribution-free exponential bound on the L1 error of partitioning estimates of a regression function
-
F. Konecny, J. Mogyoródi, and W. Wertz, Eds., Budapest, Hungary: Akadémiai Kiadó
-
L. Devroye and L. Györfi, “Distribution-free exponential bound on the L1 error of partitioning estimates of a regression function,” in F. Konecny, J. Mogyoródi, and W. Wertz, Eds., Proc. 4th Pannonian Symp. on Mathematical Statistics. Budapest, Hungary: Akadémiai Kiadó, 1983, pp. 67–76.
-
(1983)
Proc. 4th Pannonian Symp. on Mathematical Statistics
, pp. 67-76
-
-
Devroye, L.1
Györfi, L.2
-
22
-
-
21844511932
-
On the strong universal consistency of nearest neighbor regression function estimates
-
to appear Sept.
-
L. Devroye, L. Györfi, A. Krzyzak, and G. Lugosi, “On the strong universal consistency of nearest neighbor regression function estimates,” to appear in theAnnals Stat., Sept. 1994.
-
(1994)
theAnnals Stat.
-
-
Devroye, L.1
Györfi, L.2
Krzyzak, A.3
Lugosi, G.4
-
23
-
-
34748837624
-
An equivalence theorem for L1 convergence of the kernel regression estimate
-
L. Devroye and A. Krzyzak, “An equivalence theorem for L1 convergence of the kernel regression estimate,” J. Statist. Planning and Inference, vol. 23, pp. 71–82, 1989.
-
(1989)
J. Statist. Planning and Inference
, vol.23
, pp. 71-82
-
-
Devroye, L.1
Krzyzak, A.2
-
24
-
-
0010199331
-
Nonparametric discrimination and density estimation
-
Tech. Rep. 183, Electron. Res. Cen., Univ. of Texas
-
L. Devroye and T. J. Wagner, “Nonparametric discrimination and density estimation,” Tech. Rep. 183, Electron. Res. Cen., Univ. of Texas, 1976.
-
(1976)
-
-
Devroye, L.1
Wagner, T.J.2
-
25
-
-
0000568602
-
Distribution-free consistency results in nonparametric discrimination and regression function estimation
-
—, “Distribution-free consistency results in nonparametric discrimination and regression function estimation,” Annals Statist., vol. 8, pp. 231–239, 1980.
-
(1980)
Annals Statist.
, vol.8
, pp. 231-239
-
-
Devroye, L.1
Wagner, T.J.2
-
26
-
-
0000421687
-
Central limit theorems for empirical measures
-
R. M. Dudley, “Central limit theorems for empirical measures,” Annals Probab., vol. 6, pp. 899–929, 1978.
-
(1978)
Annals Probab.
, vol.6
, pp. 899-929
-
-
Dudley, R.M.1
-
27
-
-
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
-
28
-
-
0003361256
-
Stochastic approximation
-
J. S. Rustagi, Ed., New York, London: Academic Press
-
V. Fabian, “Stochastic approximation,” in J. S. Rustagi, Ed., Optimizing Methods in Statistics. New York, London: Academic Press, 1971, pp. 439–470.
-
(1971)
Optimizing Methods in Statistics
, pp. 439-470
-
-
Fabian, V.1
-
29
-
-
84938453348
-
On neural network models and stochastic approximation
-
preprint
-
—, “On neural network models and stochastic approximation,” preprint, 1992.
-
(1992)
-
-
Fabian, V.1
-
30
-
-
0027632576
-
Strong universal consistency of neural network classifiers
-
A. Faragó and G. Lugosi,” “Strong universal consistency of neural network classifiers,” IEEE Trans. Inform. Theory, vol. 39, pp. 1146–1151, 1993.
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, pp. 1146-1151
-
-
Faragó, A.1
Lugosi, G.2
-
31
-
-
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
-
33
-
-
0001414599
-
Nonparametric maximum likelihood estimation by the method of sieves
-
S. Geman and C. R. Hwang, “Nonparametric maximum likelihood estimation by the method of sieves,” Annals Statist., vol. 10, pp. 401–414, 1982.
-
(1982)
Annals Statist.
, vol.10
, pp. 401-414
-
-
Geman, S.1
Hwang, C.R.2
-
34
-
-
0015876493
-
Sample-based multinomial classification
-
N. Glick, “Sample-based multinomial classification,” Biometrics, vol. 29, pp. 241–256, 1973.
-
(1973)
Biometrics
, vol.29
, pp. 241-256
-
-
Glick, N.1
-
35
-
-
0004573149
-
Asymptotic efficiency of classifying procedures using the Hermite series estimate of multivariate probability densities
-
W. Greblicki, “Asymptotic efficiency of classifying procedures using the Hermite series estimate of multivariate probability densities,” IEEE Trans. Inform. Theory, vol. IT-27, pp. 364–366, 1981.
-
(1981)
IEEE Trans. Inform. Theory
, vol.IT-27
, pp. 364-366
-
-
Greblicki, W.1
-
36
-
-
0019819980
-
Classification using the Fourier series estimate of multivariate density functions
-
W. Greblicki and M. Pawlak, “Classification using the Fourier series estimate of multivariate density functions,” IEEE Trans. Syst., Man, Cybern., vol. SMC-11, pp. 726–730, 1981.
-
(1981)
IEEE Trans. Syst., Man, Cybern.
, vol.SMC-11
, pp. 726-730
-
-
Greblicki, W.1
Pawlak, M.2
-
37
-
-
0020102391
-
A classification procedure using the multiple Fourier series
-
—, “A classification procedure using the multiple Fourier series,” Inform. Sci., vol. 26, pp. 115–126, 1982.
-
(1982)
Inform. Sci.
, vol.26
, pp. 115-126
-
-
Greblicki, W.1
Pawlak, M.2
-
38
-
-
0021072390
-
Almost sure convergence of classification procedures using Hermite series density estimates
-
—, “Almost sure convergence of classification procedures using Hermite series density estimates,” Pattern Recogn. Lett., vol. 2, pp. 13–17, 1983.
-
(1983)
Pattern Recogn. Lett.
, vol.2
, pp. 13-17
-
-
Greblicki, W.1
Pawlak, M.2
-
40
-
-
0017246825
-
An upper bound of error probabilities for multihypothesis testing and its application in adaptive pattern recognition
-
L. Györfi, “An upper bound of error probabilities for multihypothesis testing and its application in adaptive pattern recognition,” Probl. Contr. and Inform. Theory, vol. 5, pp. 449–457, 1975.
-
(1975)
Probl. Contr. and Inform. Theory
, vol.5
, pp. 449-457
-
-
Györfi, L.1
-
41
-
-
0021385710
-
Adaptive linear procedures under general conditions
-
—, “Adaptive linear procedures under general conditions,” IEEE Trans. Inform. Theory, vol. IT-30, pp. 262–267, 1984.
-
(1984)
IEEE Trans. Inform. Theory
, vol.IT-30
, pp. 262-267
-
-
Györfi, L.1
-
42
-
-
0002438218
-
Universal consistencies of a regression estimate for unbounded regression functions
-
G. Roussas, Ed., (NATO ASI Series). Dordrecht, The Netherlands: Kluwer
-
—, “Universal consistencies of a regression estimate for unbounded regression functions,” in G. Roussas, Ed., Nonparametric Functional Estimation and Related Topics (NATO ASI Series). Dordrecht, The Netherlands: Kluwer, 1991, pp. 329–338.
-
(1991)
Nonparametric Functional Estimation and Related Topics
, pp. 329-338
-
-
Györfi, L.1
-
44
-
-
0002192516
-
Decision theoretic generalizations of the PAC model for neural net and other learning applications
-
D. Haussler, “Decision theoretic generalizations of the PAC model for neural net and other learning applications,” Inform, and Comput., vol. 100, pp. 78–150, 1992.
-
(1992)
Inform, and Comput.
, vol.100
, pp. 78-150
-
-
Haussler, D.1
-
45
-
-
0025751820
-
Approximation capabilities of multilayer feedforward networks
-
K. Hornik, “Approximation capabilities of multilayer feedforward networks,” Neural Net., vol. 4, pp. 251–257, 1991.
-
(1991)
Neural Net.
, vol.4
, pp. 251-257
-
-
Hornik, K.1
-
46
-
-
0027812765
-
Some new results on neural network approximation
-
—, “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
-
47
-
-
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. 359–366, 1989.
-
(1989)
Neural Net.
, vol.2
, pp. 359-366
-
-
Hornik, K.1
Stinchcombe, M.2
White, H.3
-
48
-
-
0000624821
-
ε-entropy and ε-capacity of sets in function spaces
-
A. N. Kolmogorov and V. M. Tikhomirov, “ε-entropy and ε-capacity of sets in function spaces,” Transi. Amer. Math. Soc., vol. 17, pp. 277–364, 1961.
-
(1961)
Transi. Amer. Math. Soc.
, vol.17
, pp. 277-364
-
-
Kolmogorov, A.N.1
Tikhomirov, V.M.2
-
49
-
-
0000319005
-
The estimation of probability densities and cumulatives by Fourier series methods
-
R. A. Kronmal and M. E. Tarter, “The estimation of probability densities and cumulatives by Fourier series methods,” J. Amer. Statist. Assoc., vol. 63, pp. 925–952, 1968.
-
(1968)
J. Amer. Statist. Assoc.
, vol.63
, pp. 925-952
-
-
Kronmal, R.A.1
Tarter, M.E.2
-
50
-
-
0003746249
-
-
Basel, Boston, Berlin: Birkhäuser
-
L. Ljung, G. Pflug, and H. Walk, Stochastic Approximation and Optimization of Random Systems. Basel, Boston, Berlin: Birkhäuser, 1992.
-
(1992)
Stochastic Approximation and Optimization of Random Systems
-
-
Ljung, L.1
Pflug, G.2
Walk, H.3
-
51
-
-
0027842558
-
Consistency of multilayer perceptron regression estimators
-
to appear
-
J. Mielniczuk and J. Tyrcha, “Consistency of multilayer perceptron regression estimators,” Neural Net., to appear, 1993.
-
(1993)
Neural Net.
-
-
Mielniczuk, J.1
Tyrcha, J.2
-
52
-
-
0022140746
-
Rate of convergence of nonparametric estimators of maximum-likelihood type
-
A. S. Nemirovskiy, B. T. Polyak, and A. B. Tsybako, “Rate of convergence of nonparametric estimators of maximum-likelihood type,” Probl. Inform. Transmission, vol. 21, pp. 258–272, 1985.
-
(1985)
Probl. Inform. Transmission
, vol.21
, pp. 258-272
-
-
Nemirovskiy, A.S.1
Polyak, B.T.2
Tsybako, A.B.3
-
53
-
-
0022148698
-
Nonparametric estimation of smooth regression functions
-
A. S. Nemirovski, “Nonparametric estimation of smooth regression functions,” Eng. Cybern., vol. 23, no. 6, pp. 1–11, 1985.
-
(1985)
Eng. Cybern.
, vol.23
, Issue.6
, pp. 1-11
-
-
Nemirovski, A.S.1
-
54
-
-
0348037945
-
On uniform laws of averages
-
Ph.D. dissertation, Dep. Statist., Stanford Univ., Stanford, CA
-
A. B. Nobel, “On uniform laws of averages,” Ph.D. dissertation, Dep. Statist., Stanford Univ., Stanford, CA, 1992.
-
(1992)
-
-
Nobel, A.B.1
-
55
-
-
0000579826
-
U-processes: Rates of convergence
-
D. Nolan and D. Pollard, “U-processes: Rates of convergence,” Annals Statist., vol. 15, pp. 780–799, 1987.
-
(1987)
Annals Statist.
, vol.15
, pp. 780-799
-
-
Nolan, D.1
Pollard, D.2
-
57
-
-
84938453970
-
-
(NSF-CBMS Regional Conference Series in Probability and Statistics, Hayward, CA, Alexandria, VA)
-
—, Empirical Processes: Theory and Applications (NSF-CBMS Regional Conference Series in Probability and Statistics, Hayward, CA, Alexandria, VA, 1990).
-
(1990)
Empirical Processes: Theory and Applications
-
-
Pollard, D.1
-
58
-
-
0000016172
-
A stochastic approximation method
-
H. Robbins and S. Monro, “A stochastic approximation method,” Annals Math. Stat., vol. 22, pp. 400–407, 1951.
-
(1951)
Annals Math. Stat.
, vol.22
, pp. 400-407
-
-
Robbins, H.1
Monro, S.2
-
59
-
-
0000646059
-
Learning internal representations by error propagation
-
D. E. Rumelhart, J. L. McCelland, and the PDP Research Group, Eds., Cambridge, MA: M.I.T. Press
-
D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning internal representations by error propagation,” in D. E. Rumelhart, J. L. McCelland, and the PDP Research Group, Eds., Parallel Distributed Processing, Vol. I. Cambridge, MA: M.I.T. Press, 1986.
-
(1986)
Parallel Distributed Processing
, vol.1
-
-
Rumelhart, D.E.1
Hinton, G.E.2
Williams, R.J.3
-
60
-
-
0001703864
-
On the density of families of sets
-
N. Sauer, “On the density of families of sets,” J. Combinatorial Theory Ser. A, vol. 13, pp. 145–147, 1972.
-
(1972)
J. Combinatorial Theory Ser. A
, vol.13
, pp. 145-147
-
-
Sauer, N.1
-
61
-
-
0000818486
-
Estimation of probability density by an orthogonal series
-
S. C. Schwartz, “Estimation of probability density by an orthogonal series,” Annals Math. Stat., vol. 38, pp. 1261–1265, 1967.
-
(1967)
Annals Math. Stat.
, vol.38
, pp. 1261-1265
-
-
Schwartz, S.C.1
-
62
-
-
21844489169
-
Convergence rate of sieve estimates
-
to appear in, June
-
X. Shen and W. H. Wong, “Convergence rate of sieve estimates,” to appear in the Annals Statist., vol. 22, pp. 580–615, June 1994.
-
(1994)
the Annals Statist.
, vol.22
, pp. 580-615
-
-
Shen, X.1
Wong, W.H.2
-
63
-
-
84950956446
-
Series estimation of a probability density function
-
D. F. Specht, “Series estimation of a probability density function,” Technometrics, vol. 13, pp. 409–424, 1971.
-
(1971)
Technometrics
, vol.13
, pp. 409-424
-
-
Specht, D.F.1
-
64
-
-
0001293371
-
Consistent window estimation in nonparametric regression
-
C. Spiegelman and J. Sacks, “Consistent window estimation in nonparametric regression,” Annals Stat., vol. 8, pp. 240–246, 1980.
-
(1980)
Annals Stat.
, vol.8
, pp. 240-246
-
-
Spiegelman, C.1
Sacks, J.2
-
65
-
-
0000439528
-
Consistent nonparametric regression
-
C. J. Stone, “Consistent nonparametric regression,” Annals Stat., vol. 8, pp. 1348–1360, 1977.
-
(1977)
Annals Stat.
, vol.8
, pp. 1348-1360
-
-
Stone, C.J.1
-
66
-
-
0038697519
-
On multivariate density estimates based on orthogonal expansions
-
M. E. Tarter and R. A. Kronmal, “On multivariate density estimates based on orthogonal expansions,” Annals Math. Stat., vol. 41, pp. 718–722, 1970.
-
(1970)
Annals Math. Stat.
, vol.41
, pp. 718-722
-
-
Tarter, M.E.1
Kronmal, R.A.2
-
67
-
-
0021518106
-
A theory of the learnable
-
L. G. Valiant, “A theory of the learnable,” Commun. ACM, vol. 27, pp. 1134–1142, 1984.
-
(1984)
Commun. ACM
, vol.27
, pp. 1134-1142
-
-
Valiant, L.G.1
-
68
-
-
0000709835
-
Estimating a regression function
-
S. Van de Geer, “Estimating a regression function,” Annals Stat., vol. 18, pp. 907–924, 1990.
-
(1990)
Annals Stat.
, vol.18
, pp. 907-924
-
-
Van de Geer, S.1
-
69
-
-
0010180387
-
Bayes risk consistency of classification procedures using density estimation
-
J. Van Ryzin, “Bayes risk consistency of classification procedures using density estimation,” Sankhya, ser. A, vol. 28, pp. 161–170, 1966.
-
(1966)
Sankhya, ser. A
, vol.28
, pp. 161-170
-
-
Van Ryzin, J.1
-
71
-
-
0001024505
-
On the uniform convergence of relative frequencies of events to their probabilities
-
V. N. Vapnik and A. Ya. Chervonenkis, “On the uniform convergence of relative frequencies of events to their probabilities,” Theory Probab. and Applic., vol. 16, pp. 264–280, 1971.
-
(1971)
Theory Probab. and Applic.
, vol.16
, pp. 264-280
-
-
Vapnik, V.N.1
Chervonenkis, A.Ya.2
-
72
-
-
0004272441
-
-
Moscow, USSR: Nauka, (in Russian); German translation: Theorie der Zeichenerkennung. Berlin, Germany: Akademie-Verlag, 1979
-
—, Theory of Pattern Recognition. Moscow, USSR: Nauka, 1974 (in Russian); German translation: Theorie der Zeichenerkennung. Berlin, Germany: Akademie-Verlag, 1979.
-
(1974)
Theory of Pattern Recognition
-
-
Vapnik, V.N.1
Chervonenkis, A.Ya.2
-
73
-
-
0001954668
-
Necessary and sufficient conditions for the uniform convergence of means to their expectations
-
—, “Necessary and sufficient conditions for the uniform convergence of means to their expectations,” Theory Prob, and Appl., vol. 26, pp. 821–832, 1981.
-
(1981)
Theory Prob, and Appl.
, vol.26
, pp. 821-832
-
-
Vapnik, V.N.1
Chervonenkis, A.Ya.2
-
74
-
-
0012195187
-
Some asymptotic results for learning in single hidden-layer feedforward network models
-
H. White, “Some asymptotic results for learning in single hidden-layer feedforward network models,” J. Amer. Statist. Assoc., vol. 84, pp. 1003–1013, 1989.
-
(1989)
J. Amer. Statist. Assoc.
, vol.84
, pp. 1003-1013
-
-
White, H.1
-
75
-
-
0025635525
-
Connectionist nonparametric regression: multilayer feedforward networks can learn arbitrary mappings
-
—, “Connectionist nonparametric regression: multilayer feedforward networks can learn arbitrary mappings,” Neural Net., vol. 3, pp. 535–549, 1990.
-
(1990)
Neural Net.
, vol.3
, pp. 535-549
-
-
White, H.1
-
77
-
-
0000614009
-
Asymptotically optimal discriminant functions for pattern classification
-
C. T. Wolverton and T. J. Wagner, “Asymptotically optimal discriminant functions for pattern classification,” IEEE Trans. Syst., Sci., Cybern., vol. 15, pp. 258–265, 1969.
-
(1969)
IEEE Trans. Syst., Sci., Cybern.
, vol.15
, pp. 258-265
-
-
Wolverton, C.T.1
Wagner, T.J.2
-
78
-
-
0009300512
-
Probability inequalities for likelihood ratios and convergence rates of sieve MLE's
-
Tech. Rep. 346, Dep. Stat., University of Chicago, Chicago, IL
-
W. H. Wong and X. Shen, “Probability inequalities for likelihood ratios and convergence rates of sieve MLE's, Tech. Rep. 346, Dep. Stat., University of Chicago, Chicago, IL, 1992.
-
(1992)
-
-
Wong, W.H.1
Shen, X.2
|