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Algorithmic Minimal Sufficient Statistic Revisited

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5635))

Abstract

We express some criticism about the definition of an algorithmic sufficient statistic and, in particular, of an algorithmic minimal sufficient statistic. We propose another definition, which might have better properties.

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References

  1. Antunes, L., Fortnow, L.: Sophistication revisited. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 267–277. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  2. Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley, New York (1991)

    Book  MATH  Google Scholar 

  3. Gács, P., Tromp, J., Vitányi, P.M.B.: Algorithmic statistics. IEEE Trans. Inform. Th. 47(6), 2443–2463 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kolmogorov, A.N.: Talk at the Information Theory Symposium in Tallinn, Estonia (1974)

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  5. Shen, A.K.: Discussion on Kolmogorov complexity and statistical analysis. The Computer Journal 42(4), 340–342 (1999)

    Article  MATH  Google Scholar 

  6. Shen, A.K.: Personal communication (2002)

    Google Scholar 

  7. Vereshchagin, N.K., Vitányi, P.M.B.: Kolmogorov’s structure functions and model selection. IEEE Trans. Information Theory 50(12), 3265–3290 (2004)

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© 2009 Springer-Verlag Berlin Heidelberg

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Vereshchagin, N. (2009). Algorithmic Minimal Sufficient Statistic Revisited. In: Ambos-Spies, K., Löwe, B., Merkle, W. (eds) Mathematical Theory and Computational Practice. CiE 2009. Lecture Notes in Computer Science, vol 5635. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03073-4_49

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  • DOI: https://doi.org/10.1007/978-3-642-03073-4_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03072-7

  • Online ISBN: 978-3-642-03073-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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