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An upper bound on the sample complexity of PAC-learning halfspaces with respect to the uniform distribution

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Publication:1014429
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DOI10.1016/S0020-0190(03)00311-9zbMath1161.68499MaRDI QIDQ1014429

Philip M. Long

Publication date: 28 April 2009

Published in: Information Processing Letters (Search for Journal in Brave)


zbMATH Keywords

computational complexitymachine learningPAC-learningsample complexityhalfspaces


Mathematics Subject Classification ID

Computational learning theory (68Q32)


Related Items (2)

The regularized least squares algorithm and the problem of learning halfspaces ⋮ Using the doubling dimension to analyze the generalization of learning algorithms



Cites Work

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  • Learnability with respect to fixed distributions
  • Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz
  • Approximating hyper-rectangles: Learning and pseudorandom sets
  • Predicting \(\{ 0,1\}\)-functions on randomly drawn points
  • A Remark on Stirling's Formula
  • Learnability and the Vapnik-Chervonenkis dimension
  • A theory of the learnable
  • Enumeration of Seven-Argument Threshold Functions
  • Convergence of stochastic processes


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