Skip to main content

Active Sampling for Multiple Output Identification

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4005))

Abstract

We study functions with multiple output values, and use active sampling to identify an example for each of the possible output values. Our results for this setting include: (1) Efficient active sampling algorithms for simple geometric concepts, such as intervals on a line and axis parallel boxes. (2) A characterization for the case of binary output value in a transductive setting. (3) An analysis of active sampling with uniform distribution in the plane. (4) An efficient algorithm for the Boolean hypercube when each output value is a monomial.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dasgupta, S.: Analysis of a greedy active learning strategy. In: Advances in Neural Information Processing Systems (NIPS) (2004)

    Google Scholar 

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

    Google Scholar 

  3. Dasgupta, S., Kalai, A.T., Monteleoni, C.: Analysis of perceptron-based active learning. In: Auer, P., Meir, R. (eds.) COLT 2005. LNCS, vol. 3559, pp. 249–263. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Edelstein, O., Farchi, E., Nir, Y., Ratzaby, G., Ur, S.: Multithreaded java program test generation. IBM Systems Journal 41(3), 111–125 (2002)

    Article  Google Scholar 

  5. Efron, B.: The convex hull of a rndom set of points. Biometrika 52, 331–343 (1965)

    MathSciNet  MATH  Google Scholar 

  6. Fine, S., Gilad-Bachrach, R., Shamir, E.: Query by committee, linear separation and random walks. Theoretical Computer Science 284(1) (2002), (A preliminary version appeared in EuroColt 1999)

    Google Scholar 

  7. Fine, S., Ziv, A.: Coverage directed test generation for functional verification using Bayesian networks. In: Proceedings of the 40th Design Automation Conference, pp. 286–291 (June 2003)

    Google Scholar 

  8. Freund, Y., Seung, H., Shamir, E., Tishby, N.: Selective sampling using the query by committee algorithm. Machine Learning 28(2/3), 133–168 (1997)

    Article  MATH  Google Scholar 

  9. 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 

  10. Liere, R., Tadepalli, P.: Active learning with committees for text categorization. In: AAAI 1997 (1997)

    Google Scholar 

  11. Linial, N., Luby, M., Saks, M., Zuckerman, D.: Efficient construction of a small hitting set for combinatorial rectangles in high dimension. Combinatorica 17(2), 215–234 (1997), (A preliminary version appeard in STOC 1993)

    Google Scholar 

  12. Piziali, A.: Functional Verification Coverage Measurement and Analysis. Springer, Heidelberg (2004)

    Google Scholar 

  13. Preparata, F.P., Shamos, M.I.: Computational Geometry: An introduction. Springer, Heidelberg (1985)

    Google Scholar 

  14. Rényi, A., Sulamke, R.: Uber die konvexe hulle von n zufallig gewahlten punkten. Z. Wahrschein 2, 75–84 (1963)

    Article  MATH  Google Scholar 

  15. Sauer, N.: On the density of family of sets. J. of Combinatorial Theory, Ser. A 13, 145–147 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  16. Seung, H.S., Opper, M., Sompolinsky, H.: Query by committe. In: Proceedings of the Fith Workshop on Computational Learning Theory, pp. 287–294. Morgan Kaufman, San Mateo (1992)

    Chapter  Google Scholar 

  17. Ur, S., Yadin, Y.: Micro-architecture coverage directed generation of test programs. In: Proceedings of the 36th Design Automation Conference, June 1999, pp. 175–180 (1999)

    Google Scholar 

  18. Vapnik, V.N., Ya, A.: Chervonenkis. On the uniform convergence of relative frequencies of events to their probabilities. Theory of Probability and its applications XVI(2), 264–280 (1971)

    Article  Google Scholar 

  19. Wile, B., Goss, J.C., Roesner, W.: Comprehensive Functional Verification – The Complete Industry Cycle. Elsevier, Amsterdam (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fine, S., Mansour, Y. (2006). Active Sampling for Multiple Output Identification. In: Lugosi, G., Simon, H.U. (eds) Learning Theory. COLT 2006. Lecture Notes in Computer Science(), vol 4005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11776420_45

Download citation

  • DOI: https://doi.org/10.1007/11776420_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35294-5

  • Online ISBN: 978-3-540-35296-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics