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Improved lower bounds for learning from noisy examples: an information-theoretic approach
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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: 104 - 115  
Year of Publication: 1998
ISBN:1-58113-057-0
Authors
Claudio Gentile  DSI, Universita' di Milano, Via Comelico 39, 20135 Milano, Italy
David P. Helmbold  Computer Science Department, University of California, 95064 Santa Cruz
Sponsors
University of Wisconsin : University of Wisconsin
UC @ Santa Cruz : UC @ Santa Cruz
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGART: ACM Special Interest Group on Artificial Intelligence
Publisher
ACM  New York, NY, USA
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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.

 
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P. Bartlett, D. Helmbold, manuscript, 1996.
 
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N. Cesa-Bianchi, E. Dichterman, P. Fischer, E. Shamir, H.U. Simon, "Sample-efficient Strategies for Learning in the Presence of Noise", eCOLT Tech. Rep. 97- 003, WWW.' http://ecolt.informatik, uni-dortmund, de/. Preliminary versions in 28th STOC, 1996 and 3rd EuroCOLT, 1997
 
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R.L. Dobrushin, "General formulation of Shannon's main theorem in information theory", Uspelchi Mat. Nauk, vol. 14, pp. 3-104, 1959; translated in Amer. Math. Soc. Translations, Ser. 2, vol. 33, pp. 323-438, 1963.
 
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R.M. Dudley, A Course on Empirical Processes. Lecture Notes in Mathematics, vol. 1097, Spfinger-Vefiag, Berlin/New York, 1984.
 
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C. Gentile, "A note on sample size lower bounds for PAC-leaming", manuscript, 1997.
 
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D. Haussler, A. Barron, "How well do Bayes methods work for on-line prediction of {-1 ,+ 1 } values'?.", in Proc. of the 3rd NEC Symposium on Computation and Cognition, 1992, pp. 74-100.
 
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D. Haussler, M. Opper, "Mutual Information, Metric Entropy, and Cumulative Relative Entropy Risk", Annals of Statistics, 1997. To appear.
 
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D. Helmbold, N. Littlestone, P. Long, "Apple Tasting'', manuscript 1997. An extended abstract appeared in Proc. of the 33rd Symposium on the Foundations of Comp. Sci., 1992, pp.493-502.
 
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S. Ihara, Information theory for continuous systems. River Edge, NJ: World Scientific, 1993.
 
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A.N. Kolmogorov, V.M. Tihomirov, "e-entropy and ecapacity of sets in functional spaces", Amer. Math. Soc. Translations (Ser. 2), vol. 17, pp. 277-364, 1961.
 
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W. Maass, G. Turfin, "On the complexity of learning from counterexamples and membership queries", in Proc. of the 31th Symposium on the Foundations of Comp. Sci., 1990, pp. 203-210.
 
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B. Yu, "Lower Bounds on Expected Redundancy for Nonparametric Classes", IEEE Trans. on Inf. Th., vol. 42, no. 1, pp. 272-275, 1996.


Collaborative Colleagues:
Claudio Gentile: colleagues
David P. Helmbold: colleagues