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Classifying learnable geometric concepts with the Vapnik-Chervonenkis dimension
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the eighteenth annual ACM symposium on Theory of computing table of contents
Berkeley, California, United States
Pages: 273 - 282  
Year of Publication: 1986
ISBN:0-89791-193-8
Authors
A Blumer  University of California at Santa Cruz and Department of Mathematics and Computer Science, University of Denver, Denver, Colorado
A Ehrenfeucht  Department of Computer Science, University of Colorado, Boulder, Colorado
D Haussler  Department of Mathematics and Computer Science, University of Denver, Denver, Colorado
M Warmuth  Department of Computer and Information Sciences, University of California, Santa Cruz, California
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 7,   Downloads (12 Months): 56,   Citation Count: 23
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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.

 
A83
Assouad, P., "Densite et Dimension," Ann. Inst. Fourier, Grenoble 33 (3) (1983) 233-282.
 
BEHW85
Bhmer, A., A. Ehrenfeucht, D. Haussler and M. Warmuth, "Occam's Razor," Technical Report UCSC-CRL-86-2, Computer Research Laboratory, University of California at Santa Cruz, February 1986.
 
DW76
Devroye, L.P. and T.J.Wagner, "A distribution-free performance bound in error estimation," IEEE Trans. Info. Th., 22, 1976, pp. 586-7.
 
D78
Dudley, R.M., "Central limit theorems for empirical measures," Ann. Prob., 6(6), 1978, pp. 899- 929.
 
GJ79
 
GGM84
Goldreich, O., S. Goldwasser, and S. Micali, "How to construct random functions," 25th FOCS, 1984, pp. 464-79.
 
H85
Haussler, D., "Space Efficient Learning Algorithms," unpublished manuscript.
 
HW85
Haussler, D. and E. Welzl, "Epsilon-nets and range queries," in preparation.
 
J74
Johnson, D.S., "Approximation Algorithms for combinatorial problems," Journal of Computer and Systems Sciences, Vol. 9, 1974.
K84
 
LP85
Lee, D.T. and F.P.Preparata, "Computational geometry - a survey," IEEE Trans. Comp., 33(12), 1984, pp. 1072-101.
 
L85
Littlestone, N., unpublished manuscript.
 
M78
Masek, WJ., "Some NP-Complete Set Cover Problems," MIT Laboratory for Computer Science, unpublished manuscript.
M84
 
N69
Nigmatullin, R.G., "The Fastest Descent Method for Covering Problems (in Russian)," Proceedings of a Symposium on Questions of Precision and Efficiency of Computer Algorithms," Book 5, Kiev, 1969, pp. 116-126.
 
P78
Pearl, J., "On the connection between the complexity and credibility of inferred models," Int. J. Gen. Sys., 4, 1978, pp. 255-64.
 
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Pearl, J., "Capacity and error estimates for Boolean classifiers with limited capacity," IEEE Trans. Patt. An. Mach. Intell., 1(4), 1979, pp. 350-5.
V84
 
VP86
Valiant, L.G., L. Pitt, Technical Report, Aiken Computing Lab., Harvard University, to appear.
 
V85
Valiant, L.G., "Learning disjunctions of conjunctions," Proc. 9th IJCAI, Los Angeles, CA, August 1985, vol. 1, pp. 560-6.
 
VC71
Vapnik, V.N. and A.Ya.Chervonenkis, "On the uniform convergence of relative frequencies of events to their probabilities," Th. Prob. and its Appl., 16(2), 1971, pp. 264-80.
 
VC74
Vapnik, V.N. and A.Ya.Chervonenkis, Theory of Pattern Recognition (in Russian), Nauka, Moscow, 1974.
 
W86
Welzl, E., "Some properties of the Vapnik- Chervonenkis dimension," in preparation.
 
WD81
Wenocur, R.S. and R.M.Dudley, "Some special Vapnik-Chervonenkis classes," Discrete Math., 33, 1981, pp. 313-8.
 
YC74
Young, T. and T. Calvert, Classification, Estimarion, and Pattern Recognition, Elsevier, New York, 1974.

CITED BY  23

Collaborative Colleagues:
A Blumer: colleagues
A Ehrenfeucht: colleagues
D Haussler: colleagues
M Warmuth: colleagues