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Estimation of Mutual Information: A Survey

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Rough Sets and Knowledge Technology (RSKT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5589))

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Abstract

A common problem found in statistics, signal processing, data analysis and image processing research is the estimation of mutual information, which tends to be difficult. The aim of this survey is threefold: an introduction for those new to the field, an overview for those working in the field and a reference for those searching for literature on different estimation methods. In this paper comparison studies on mutual information estimation is considered. The paper starts with a description of entropy and mutual information and it closes with a discussion on the performance of different estimation methods and some future challenges.

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References

  1. Francois, D., Wertz, V., Verleysen, M.: Proceedings of the European Symposium on Artificial Neural Networks (ESANN), pp. 239–244 (2006)

    Google Scholar 

  2. Daub, C.O., Steuer, R., Selbig, J., Kloska, S.: BMC Bioinformatics 5 (2004)

    Google Scholar 

  3. Trappenberg, T., Ouyang, J., Back, A.: Journal of Latex Class Files 1, 8 (2002)

    Google Scholar 

  4. Fransens, R., Strecha, C., Van Gool, L.: Proceedings of Theory and Applications of Knowledge-Driven Image Information Mining with Focus on Earth Observation (ESA-EUSC) (2004)

    Google Scholar 

  5. Hlaváčková-Schindler, K.: Information Theory and Statistical Learning. Springer Science & Business Media LLC (2009)

    Google Scholar 

  6. Rossi, F., Francois, D., Wertz, V., Meurens, M., Verleysen, M.: Chemometrics and Intelligent Laboratory Systems 86 (2007)

    Google Scholar 

  7. Aumônier, S.: Generalized Correlation Power Analysis in the workshop ECRYPT, Tools for Cryptanalysis (2007)

    Google Scholar 

  8. Vamucci, M.: Technical Reports. Duke University (1998)

    Google Scholar 

  9. Kraskov, A., Stögbauer, H., Andrzejak, R.G., Grassberger, P, http://arxiv.org/abs/q-bio/0311039

  10. Papana, A., Kugiumtzis, D.: Nonlinear Phenomena in Complex Systems 11, 2 (2008)

    Google Scholar 

  11. Darbellay, G.A., Vajda, I.: IEEE Transaction on Information Theory 45, 4 (1999)

    Google Scholar 

  12. Suzuki, T., Sugiyama, M, Sese, J., Kanamori, T.: Proceedings of JMLR: Workshop and Conference 4 (2008)

    Google Scholar 

  13. Endres, D., Földiák, P.: IEEE Transactions on Information Theory 51, 11 (2005)

    Google Scholar 

  14. Suzuki, T., Sugiyama, M., Sese, J., Kanamori, T.: Proceedings of the Seventh Asia-Pacific Bioinformatics Conference (APBC) (2009)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Walters-Williams, J., Li, Y. (2009). Estimation of Mutual Information: A Survey. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds) Rough Sets and Knowledge Technology. RSKT 2009. Lecture Notes in Computer Science(), vol 5589. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02962-2_49

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  • DOI: https://doi.org/10.1007/978-3-642-02962-2_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02961-5

  • Online ISBN: 978-3-642-02962-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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