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Localized Rademacher Complexities

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Computational Learning Theory (COLT 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2375))

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Abstract

We investigate the behaviour of global and local Rademacher averages. We present new error bounds which are based on the local averages and indicate how data-dependent local averages can be estimated without a priori knowledge of the class at hand.

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References

  1. P. L. Bartlett, S. Boucheron and G. Lugosi. Model selection and error estimation. Machine Learning, 48, 85–113, 2002.

    Article  MATH  Google Scholar 

  2. P. L. Bartlett and S. Mendelson. Rademacher and Gaussian Complexities: Risk Bounds and Structural Results. Proceedings of the Fourteenth Annual Conference on Computational Learning Theory, pp. 224–240, 2001.

    Google Scholar 

  3. S. Boucheron, G. Lugosi and P. Massart. Concentration inequalities using the entropy method. Preprint, CNRS-Université Paris-Sud. 2002.

    Google Scholar 

  4. O. Bousquet. A Bennett concentration inequality and its application to empirical processes. C. R. Acad. Sci. Paris, Ser. I, 334, pp. 495–500, 2002.

    MATH  MathSciNet  Google Scholar 

  5. V. I. Koltchinskii. Rademacher penalties and structural risk minimization. Technical report, University of New Mexico, 2000.

    Google Scholar 

  6. V. I. Koltchinskii and D. Panchenko. Rademacher processes and bounding the risk of function learning. In High Dimensional Probability II, Eds. E. Gine, D. Mason and J. Wellner, pp. 443–459, 2000.

    Google Scholar 

  7. W. S. Lee, P. L. Bartlett and R. C. Williamson. Efficient agnostic learning of neural networks with bounded fan-in. IEEE Transactions on Information Theory, 42(6), 2118–2132, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  8. P. Massart. Some applications of concentration inequalities to statistics. Annales de la Faculté des Sciences de Toulouse, IX:245–303, 2000.

    MathSciNet  Google Scholar 

  9. S. Mendelson. Improving the sample complexity using global data. IEEE Transactions on Information Theory, 2002.

    Google Scholar 

  10. S. Mendelson and R. C. Williamson Agnostic learning nonconvex classes of function. To appear in Proceedings of the Fifteenth Annual Conference on Computational Learning Theory, 2002.

    Google Scholar 

  11. E. Rio Une inegalité de Bennett pour les maxima de processus empiriques. Colloque en l’honneur de J. Bretagnolle, D. Dacunha-Castelle et I. Ibragimov, 2001.

    Google Scholar 

  12. A. W. van der Vaart and J. A. Wellner. Weak Convergence and Empirical Processes. Springer, 1996.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Bartlett, P.L., Bousquet, O., Mendelson, S. (2002). Localized Rademacher Complexities. In: Kivinen, J., Sloan, R.H. (eds) Computational Learning Theory. COLT 2002. Lecture Notes in Computer Science(), vol 2375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45435-7_4

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  • DOI: https://doi.org/10.1007/3-540-45435-7_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43836-6

  • Online ISBN: 978-3-540-45435-9

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