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Teaching Dimension and the Complexity of Active Learning

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Learning Theory (COLT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4539))

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Abstract

We study the label complexity of pool-based active learning in the PAC model with noise. Taking inspiration from extant literature on Exact learning with membership queries, we derive upper and lower bounds on the label complexity in terms of generalizations of extended teaching dimension. Among the contributions of this work is the first nontrivial general upper bound on label complexity in the presence of persistent classification noise.

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References

  1. Balcan, M.-F., Beygelzimer, A., Langford, J.: Agnostic active learning. In: Proc. of the 23rd International Conference on Machine Learning (2006)

    Google Scholar 

  2. Kulkarni, S.R., Mitter, S.K., Tsitsiklis, J.N.: Active learning using arbitrary binary valued queries. Machine Learning 11, 23–35 (1993)

    Article  MATH  Google Scholar 

  3. Hegedüs, T.: Generalized teaching dimension and the query complexity of learning. In: Proc. of the 8th Annual Conference on Computational Learning Theory (1995)

    Google Scholar 

  4. Angluin, D.: Queries revisited. Theoretical Computer Science 313, 175–194 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Goldman, S.A., Kearns, M.J.: On the complexity of teaching. Journal of Computer and System Sciences 50, 20–31 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  6. Dasgupta, S.: Coarse sample complexity bounds for active learning. In: Advances in Neural Information Processing Systems 18 (2005)

    Google Scholar 

  7. Kääriäinen, M.: Active learning in the non-realizable case. In: Proc. of the 17th International Conference on Algorithmic Learning Theory (2006)

    Google Scholar 

  8. Littlestone, N.: Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm. Machine Learning 2, 285–318 (1988)

    Google Scholar 

  9. Haussler, D.: Decision theoretic generalizations of the PAC model for neural net and other learning applications. Information and Computation 100, 78–150 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  10. Wald, A.: Sequential tests of statistical hypotheses. The Annals of Mathematical Statistics 16(2), 117–186 (1945)

    MathSciNet  Google Scholar 

  11. Bar-Yossef, Z.: Sampling lower bounds via information theory. In: Proc. of the 35th Annual ACM Symposium on the Theory of Computing, pp. 335–344 (2003)

    Google Scholar 

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Nader H. Bshouty Claudio Gentile

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© 2007 Springer Berlin Heidelberg

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Hanneke, S. (2007). Teaching Dimension and the Complexity of Active Learning. In: Bshouty, N.H., Gentile, C. (eds) Learning Theory. COLT 2007. Lecture Notes in Computer Science(), vol 4539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72927-3_7

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  • DOI: https://doi.org/10.1007/978-3-540-72927-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72925-9

  • Online ISBN: 978-3-540-72927-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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