| Cross-validation for binary classification by real-valued functions: theoretical analysis |
| Full text |
Pdf
(1.49 MB)
|
| Source
|
Annual Workshop on Computational Learning Theory
archive
Proceedings of the eleventh annual conference on Computational learning theory
table of contents
Madison, Wisconsin, United States
Pages: 218 - 229
Year of Publication: 1998
ISBN:1-58113-057-0
|
|
Authors
|
|
Martin Anthony
|
Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, U.K.
|
|
Sean B. Holden
|
Department of Computer Science, University College London, Gower Street, London WC1E 6BT, U.K.
|
|
| Sponsors |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 16, Citation Count: 2
|
|
|
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
N. Alon, S. Ben-David, N. Cesa-Bianchi, and D. Haussler. Scale-sensitive dimensions, uniform convergence, and learnability. In Proceedings of the Symposium on Foundations of Computer Science. IEEE Press, 1993.
|
| |
2
|
|
| |
3
|
|
| |
4
|
|
| |
5
|
|
| |
6
|
|
| |
7
|
P. Bartlett. The sample complexity of pattern classification with neural networks: the size of the weights is more important that the size of the network. Report, Department of Systems Engineering, Australian National University, May 1997.
|
| |
8
|
P. Bartlett. For valid generalisation, the size of the weights is more important than the size of the network. In Advances in Neural Information Processing Systems, 9. Morgan Kaufmann, 1996.
|
 |
9
|
|
| |
10
|
B. Cheng and D. M. Titterington. Neural networks: a review from a statistical perspective. Statistical Science, 9(1):2-54, 1994.
|
| |
11
|
|
| |
12
|
R. O. Duda and P. E. Hart. Pattern Classification and Scene Analysis. John Wiley, 1973.
|
| |
13
|
|
 |
14
|
|
| |
15
|
S. B. Holden. Cross-validation and the PAC learning model. Research Note RN/96/64, Department of Computer Science, University College London, December 1996.
|
| |
16
|
S. B. Holden. On Algorithmic Stability and the Analysis of the Cross-Validation and Holdout Estimates. Research Note RN/97/73, Department of Computer Science, University College London.
|
| |
17
|
|
 |
18
|
Michael J. Kearns , Robert E. Schapire , Linda M. Sellie, Toward efficient agnostic learning, Proceedings of the fifth annual workshop on Computational learning theory, p.341-352, July 27-29, 1992, Pittsburgh, Pennsylvania, United States
[doi> 10.1145/130385.130424]
|
 |
19
|
|
| |
20
|
M. J. Kearns and R. E. Schapire. Efficient distributionfree learning of probabilistic concepts. In Proc. of the 31st Symposium on the Foundations of Comp. Sci., pages 382-391. IEEE Computer Society Press, Los Alamitos, CA, 1990.
|
| |
21
|
D. Pollard. Convergence of Stochastic Processes. Springer-Vefiag, 1984.
|
| |
22
|
N. Sauer. On the density of families of sets. Journal of Combinatorial Theory (A), 13:145-147, 1972.
|
| |
23
|
J. Shawe-Taylor, P. Bartlett. R.C. Williamson, M. Anthony. Structural risk minimisation over datadependent hierarchies. To appear, IEEE Transactions on Information Theory.
|
| |
24
|
G.T. Toussaint. Bibliography on estimation of misctassification. IEEE Transactions on Information Theory, 20(4):472-479, 1974.
|
 |
25
|
|
| |
26
|
|
| |
27
|
V. N. Vapnik and A. Y. Chervonenkis. On the uniform convergence of relative frequencies of events to their probabilities. Theory of Probab. and its Applications, 16(2):264-280, 1971.
|
CITED BY 2
|
|
Avrim Blum , Adam Kalai , John Langford, Beating the hold-out: bounds for K-fold and progressive cross-validation, Proceedings of the twelfth annual conference on Computational learning theory, p.203-208, July 07-09, 1999, Santa Cruz, California, United States
|
|
|
|
|