-
1
-
-
0030128623
-
Learning by canonical smooth estimation, Part I: Simultaneous estimation
-
K. L. Buescher and P. R. Kumar, "Learning by canonical smooth estimation, Part I: Simultaneous estimation," IEEE Trans. Automat. Contr., vol. 41, no. 4, pp. 545-556, 1996.
-
(1996)
IEEE Trans. Automat. Contr.
, vol.41
, Issue.4
, pp. 545-556
-
-
Buescher, K.L.1
Kumar, P.R.2
-
2
-
-
0001024505
-
On the uniform convergence of relative frequencies of events to their probabilities
-
V. N. Vapnik and A. Chervonenkis, "On the uniform convergence of relative frequencies of events to their probabilities," Theory Probability Its Appl., vol. 16, no. 2, pp. 264-280, 1971.
-
(1971)
Theory Probability Its Appl.
, vol.16
, Issue.2
, pp. 264-280
-
-
Vapnik, V.N.1
Chervonenkis, A.2
-
3
-
-
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 Probability Its Appl., vol. 26, no. 3, pp. 532-553, 1981.
-
(1981)
Theory Probability Its Appl.
, vol.26
, Issue.3
, pp. 532-553
-
-
-
5
-
-
0000624821
-
∈-entropy and ∈-capacity of sets in functional spaces
-
Ser. 2
-
A. N. Kolmogorov and V. M. Tihomirov, "∈-entropy and ∈-capacity of sets in functional spaces," Amer. Math. Soc. Translations, Ser. 2, vol. 17, pp. 277-364, 1961.
-
(1961)
Amer. Math. Soc. Translations
, vol.17
, pp. 277-364
-
-
Kolmogorov, A.N.1
Tihomirov, V.M.2
-
6
-
-
0000629975
-
Cross-validatory choice and assessment of statistical predictions
-
M. Stone, "Cross-validatory choice and assessment of statistical predictions," J. Royal Statistical Soc. B, vol. 36, pp. 111-147, 1974.
-
(1974)
J. Royal Statistical Soc. B
, vol.36
, pp. 111-147
-
-
Stone, M.1
-
8
-
-
33747078939
-
-
Center for Intelligent Control Systems, M.I.T., Cambridge, MA, Tech. Rep. CICS-P-160, Oct.
-
S. R. Kulkarni, "On metric entropy, Vapnik-Chervonenkis dimension, and learnability for a class of distributions," Center for Intelligent Control Systems, M.I.T., Cambridge, MA, Tech. Rep. CICS-P-160, Oct. 1989.
-
(1989)
On Metric Entropy, Vapnik-Chervonenkis Dimension, and Learnability for a Class of Distributions
-
-
Kulkarni, S.R.1
-
9
-
-
0346776529
-
-
Center for Intelligent Control Systems, M.I.T., Cambridge, MA, Tech. Rep. CICS-TH-298, July also Ph.D. dissertation, Dep. Electrical Engineering and Computer Science
-
_, "Problems of computational and information complexity in machine vision and learning," Center for Intelligent Control Systems, M.I.T., Cambridge, MA, Tech. Rep. CICS-TH-298, July 1991; also Ph.D. dissertation, Dep. Electrical Engineering and Computer Science.
-
(1991)
Problems of Computational and Information Complexity in Machine Vision and Learning
-
-
-
11
-
-
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 Analysis Machine Intell., vol. 10, no. 4, pp. 530-543, 1988.
-
(1988)
IEEE Trans. Pattern Analysis Machine Intell.
, vol.10
, Issue.4
, pp. 530-543
-
-
Devroye, L.1
-
12
-
-
17644396960
-
A parameterization scheme for classifying models of learnability
-
San Mateo, CA: Morgan Kaufmann
-
S. Ben-David, G. M. Benedek, and Y. Mansour, "A parameterization scheme for classifying models of learnability," in Computational Learning Theory: Proceedings of the Second Workshop. San Mateo, CA: Morgan Kaufmann, 1989, pp. 285-302.
-
(1989)
Computational Learning Theory: Proceedings of the Second Workshop
, pp. 285-302
-
-
Ben-David, S.1
Benedek, G.M.2
Mansour, Y.3
-
13
-
-
0001098776
-
A universal prior for integers and estimation by minimum description length
-
J. Rissanen, "A universal prior for integers and estimation by minimum description length," Annals Statistics, vol. 11, no. 2, pp. 416-431, 1983.
-
(1983)
Annals Statistics
, vol.11
, Issue.2
, pp. 416-431
-
-
Rissanen, J.1
-
14
-
-
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. Computation, vol. 100, pp. 78-150, 1992.
-
(1992)
Inform. Computation
, vol.100
, pp. 78-150
-
-
Haussler, D.1
-
15
-
-
0024750852
-
Learnability and the Vapnik-Chervonenkis dimension
-
A. Blumer, A. Ehrenfeucht, D. Haussler, and M. K. Warmuth, "Learnability and the Vapnik-Chervonenkis dimension," J. ACM, vol. 36, no. 3, pp. 939-965, 1989.
-
(1989)
J. ACM
, vol.36
, Issue.3
, pp. 939-965
-
-
Blumer, A.1
Ehrenfeucht, A.2
Haussler, D.3
Warmuth, M.K.4
-
16
-
-
0000421687
-
Central limit theorems for empirical measures
-
R. M. Dudley, "Central limit theorems for empirical measures," Annals Probability, vol. 6, no. 6, pp. 899-929, 1978.
-
(1978)
Annals Probability
, vol.6
, Issue.6
, pp. 899-929
-
-
Dudley, R.M.1
-
17
-
-
0000392470
-
Some special Vapnik-Chervonenkis classes
-
R. S. Wenocur and R. M. Dudley, "Some special Vapnik-Chervonenkis classes," Discrete Math., vol. 33, pp. 313-318, 1981.
-
(1981)
Discrete Math.
, vol.33
, pp. 313-318
-
-
Wenocur, R.S.1
Dudley, R.M.2
-
18
-
-
0000085854
-
A course on empirical processes
-
New York: Springer-Verlag
-
R. M. Dudley, "A course on empirical processes," in Lecture Notes in Mathematics, vol. 1097. New York: Springer-Verlag, 1984.
-
(1984)
Lecture Notes in Mathematics
, vol.1097
-
-
Dudley, R.M.1
-
19
-
-
0001160588
-
What size net gives valid generalization?
-
E. Baum and D. Haussler, "What size net gives valid generalization?" Neural Computation, vol. 1, pp. 151-160, 1989.
-
(1989)
Neural Computation
, vol.1
, pp. 151-160
-
-
Baum, E.1
Haussler, D.2
-
20
-
-
0027205881
-
Finiteness results for sigmoidal neural networks
-
Association for Computing Machinery
-
A. Macintyre and E. D. Sontag, "Finiteness results for sigmoidal neural networks," in Proc. Twenty-Fifth Ann. ACM Symp. Theory Computing, pp. 325-334, Association for Computing Machinery, 1993.
-
(1993)
Proc. Twenty-Fifth Ann. ACM Symp. Theory Computing
, pp. 325-334
-
-
Macintyre, A.1
Sontag, E.D.2
-
21
-
-
0029256399
-
Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers
-
Submitted
-
P. W. Goldberg and M. R. Jerrum, "Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers," Submitted to Machine Learning;
-
Machine Learning
-
-
Goldberg, P.W.1
Jerrum, M.R.2
-
23
-
-
0027224339
-
Bounds for the computational power and learning complexity of analog neural nets
-
Association for Computing Machinery
-
W. Maass, "Bounds for the computational power and learning complexity of analog neural nets," in Proc. Twenty-Fifth Ann. ACM Symp. Theory Computing, pp. 335-344, Association for Computing Machinery, 1993.
-
(1993)
Proc. Twenty-Fifth Ann. ACM Symp. Theory Computing
, pp. 335-344
-
-
Maass, W.1
-
26
-
-
0024766393
-
Generalizing the PAC model: Sample size bounds from metric dimension based uniform convergence results
-
D. Haussler, "Generalizing the PAC model: Sample size bounds from metric dimension based uniform convergence results," in 30th Annu. IEEE Symp. Foundations Computer Sci., 1989, pp. 40-45.
-
(1989)
30th Annu. IEEE Symp. Foundations Computer Sci.
, pp. 40-45
-
-
Haussler, D.1
-
28
-
-
0001767268
-
Approximation of least squares regression on nested subspaces
-
D. D. Cox, "Approximation of least squares regression on nested subspaces," Annals Statistics, vol. 16, no. 2, pp. 713-732, 1988.
-
(1988)
Annals Statistics
, vol.16
, Issue.2
, pp. 713-732
-
-
Cox, D.D.1
-
29
-
-
33646065844
-
Minimization of expected risk based on empirical data
-
Utrecht, The Netherlands, VNU Science Press
-
V. N. Vapnik and A. Chervonenkis, "Minimization of expected risk based on empirical data," in Proc. First World Congr. Bernoulli Soc., vol. 2. Utrecht, The Netherlands, pp. 821-832, VNU Science Press, 1987.
-
(1987)
Proc. First World Congr. Bernoulli Soc.
, vol.2
, pp. 821-832
-
-
Vapnik, V.N.1
Chervonenkis, A.2
-
30
-
-
84913705650
-
Inductive principles of the search for empirical dependences (methods based on weak convergence of probability measures)
-
San Mateo, CA: Morgan Kaufmann
-
V. N. Vapnik, "Inductive principles of the search for empirical dependences (methods based on weak convergence of probability measures)," in Computational Learning Theory: Proceedings of the Second Workshop. San Mateo, CA: Morgan Kaufmann, 1989, pp. 3-21.
-
(1989)
Computational Learning Theory: Proceedings of the Second Workshop
, pp. 3-21
-
-
Vapnik, V.N.1
-
31
-
-
0025635525
-
Connectionist nonparametric regression: Multilayer feedforward networks can learn arbitrary mappings
-
H. White, "Connectionist nonparametric regression: Multilayer feedforward networks can learn arbitrary mappings," Neural Networks, vol. 3, no. 5, pp. 535-549, 1990.
-
(1990)
Neural Networks
, vol.3
, Issue.5
, pp. 535-549
-
-
White, H.1
-
32
-
-
0029307575
-
Nonparametric estimation via empirical risk minimization
-
G. Lugosi and K. Zeger, "Nonparametric estimation via empirical risk minimization," IEEE Trans. Inform. Theory, vol. 41, no. 3, pp. 677-687, 1995.
-
(1995)
IEEE Trans. Inform. Theory
, vol.41
, Issue.3
, pp. 677-687
-
-
Lugosi, G.1
Zeger, K.2
-
33
-
-
0016355478
-
A new look at the statistical model identification
-
H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. AC-19, no. 6, pp. 716-723, 1974.
-
(1974)
IEEE Trans. Automat. Contr.
, vol.AC-19
, Issue.6
, pp. 716-723
-
-
Akaike, H.1
-
34
-
-
36549053855
-
Ordered risk minimization, I
-
Aug.
-
V. N. Vapnik and A. Chervonenkis, "Ordered risk minimization, I," Automation Remote Contr., vol. 35, pp. 1226-1235, Aug. 1974.
-
(1974)
Automation Remote Contr.
, vol.35
, pp. 1226-1235
-
-
Vapnik, V.N.1
Chervonenkis, A.2
-
35
-
-
84904771089
-
Ordered risk minimization, II
-
Sep.
-
_, "Ordered risk minimization, II," Automation Remote Contr., vol. 35, pp. 1403-1412, Sep. 1974.
-
(1974)
Automation Remote Contr.
, vol.35
, pp. 1403-1412
-
-
-
36
-
-
0000120766
-
Estimating the dimension of a model
-
G. Schwarz, "Estimating the dimension of a model," Annals Statistics, vol. 6, no. 2, pp. 461-464, 1978.
-
(1978)
Annals Statistics
, vol.6
, Issue.2
, pp. 461-464
-
-
Schwarz, G.1
-
37
-
-
0001462696
-
L, cross-validation and generalized cross-validation: Discrete index set
-
L, cross-validation and generalized cross-validation: Discrete index set," Annals Statistics, vol. 15, no. 3, pp. 958-975, 1987.
-
(1987)
Annals Statistics
, vol.15
, Issue.3
, pp. 958-975
-
-
Li, K.C.1
-
39
-
-
0000270806
-
Approximation and estimation bounds for artificial neural networks
-
San Mateo, CA: Morgan Kaufmann
-
_, "Approximation and estimation bounds for artificial neural networks," in Computational Learning Theory: Proceedings of the Fourth Annual Workshop. San Mateo, CA: Morgan Kaufmann, 1991, pp. 243-249.
-
(1991)
Computational Learning Theory: Proceedings of the Fourth Annual Workshop
, pp. 243-249
-
-
-
40
-
-
0026190366
-
Minimum complexity density estimation
-
A. R. Barron and T. M. Cover, "Minimum complexity density estimation," IEEE Trans. Inform. Theory, vol. 37, no. 4, pp. 1034-1054, 1991.
-
(1991)
IEEE Trans. Inform. Theory
, vol.37
, Issue.4
, pp. 1034-1054
-
-
Barron, A.R.1
Cover, T.M.2
-
42
-
-
84950461478
-
Estimating the error rate of a prediction rule: Improvement on cross-validation
-
June
-
B. Efron, "Estimating the error rate of a prediction rule: Improvement on cross-validation," J. Amer. Statistical Association, vol. 78, pp. 316-331, June 1983.
-
(1983)
J. Amer. Statistical Association
, vol.78
, pp. 316-331
-
-
Efron, B.1
-
43
-
-
0024082469
-
Quantifying inductive bias: AI learning algorithms and Valiant's learning framework
-
D. Haussler, "Quantifying inductive bias: AI learning algorithms and Valiant's learning framework," Artificial Intelligence, vol. 36, no. 2, pp. 117-222, 1988.
-
(1988)
Artificial Intelligence
, vol.36
, Issue.2
, pp. 117-222
-
-
Haussler, D.1
-
44
-
-
33747068171
-
-
Coordinated Science Lab. Rep. DC-144, Univ. Illinois, Urbana, IL, Tech. UILU-ENG-92-2246, Nov. also Ph.D. dissertation, Dep. Electrical and Computer Engineering
-
K. L. Buescher, "Learning and smooth simultaneous estimation of errors based on empirical data," Coordinated Science Lab. Rep. DC-144, Univ. Illinois, Urbana, IL, Tech. UILU-ENG-92-2246, Nov. 1992; also Ph.D. dissertation, Dep. Electrical and Computer Engineering.
-
(1992)
Learning and Smooth Simultaneous Estimation of Errors Based on Empirical Data
-
-
Buescher, K.L.1
-
46
-
-
33747052508
-
Evaluating the performance of a simple inductive procedure in the presence of overfilling error
-
San Mateo, CA, Morgan Kaufmann
-
A. B. Nobel, "Evaluating the performance of a simple inductive procedure in the presence of overfilling error," in Computational Learning Theory: Proceedings of the Fourth Annual Workshop. San Mateo, CA, Morgan Kaufmann, 1991, pp. 267-274.
-
(1991)
Computational Learning Theory: Proceedings of the Fourth Annual Workshop
, pp. 267-274
-
-
Nobel, A.B.1
-
47
-
-
0348037945
-
-
Stanford University, Dep. Statistics, Stanford, CA, Tech. Rep. 81, June also Ph.D. dissertation, Dep. Electrical Engineering
-
_, "On uniform laws of averages," Stanford University, Dep. Statistics, Stanford, CA, Tech. Rep. 81, June 1992; also Ph.D. dissertation, Dep. Electrical Engineering.
-
(1992)
On Uniform Laws of Averages
-
-
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