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This work establishes a new upper bound on the number of samples sufficient for PAC learning in the realizable case.
On the uniform convergence of relative frequencies of events to their probabilities
V. Vapnik and A. Chervonenkis · 1971
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A polynomial algorithm in linear programming
L. G. Khachiyan · 1979
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Estimation of Dependencies Based on Empirical Data
V. Vapnik · 1982
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A new polynomial-time algorithm for linear programming
N. Karmarkar · 1984
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A theory of the learnable
L. G. Valiant · 1984
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Computational limitations on learning from examples
L. Pitt and L. G. Valiant · 1988
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Learnability and the Vapnik-Chervonenkis dimension
A. Blumer, A. Ehrenfeucht, D. Haussler, and M. K. Warmuth · 1989
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A general lower bound on the number of examples needed for learning
A. Ehrenfeucht, D. Haussler, M. Kearns, and L. G. Valiant · 1989
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Learning nested differences of intersection-closed concept classes
D. Helmbold, R. Sloan, and M. K. Warmuth · 1990
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Equivalence of models of polynomial learnability
D. Haussler, M. Kearns, N. Littlestone, and M. K. Warmuth · 1991
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Predicting { 0 , 1 } \{0,1\} -functions on randomly drawn points
D. Haussler, N. Littlestone, and M. K. Warmuth · 1994
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Weak Convergence and Empirical Processes
A. W. van der Vaart and J. A. Wellner · 1996
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An upper bound on the sample complexity of PAC learning halfspaces with respect to the uniform distribution
P. M. Long · 2003
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M. K. Warmuth · 2004
A new PAC bound for intersection-closed concept classes
P. Auer and R. Ortner · 2007
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Using the doubling dimension to analyze the generalization of learning algorithms
N. H. Bshouty, Y. Li, and P. M. Long · 2009
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Theoretical Foundations of Active Learning
S. Hanneke · 2009
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Active and passive learning of linear separators under log-concave distributions
M.-F. Balcan and P. M. Long · 2013
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The optimal PAC bound for intersection-closed concept classes
M. Darnstädt · 2015
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Refined error bounds for several learning algorithms
S. Hanneke · 2015
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Cited alongside, same era.
Concentration inequalities and asymptotic results for ratio type empirical processes
E. Giné and V. Koltchinskii · 2006
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An almost optimal PAC algorithm
H. Simon · 2015
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