Estimation of the entropy on the basis of its polynomial representation

Authors
Publication date 2012
Host editors
  • G. Caire
Book title 2012 IEEE International Symposium on Information Theory proceedings (ISIT 2012): Cambridge, Massachusetts, USA, 1-6 July 2012
ISBN
  • 9781467325806
Event IEEE International Symposium on Information Theory; (Cambridge, Mass.): 2012.07.01-06
Pages (from-to) 1054-1058
Publisher Piscataway, NJ: IEEE
Organisations
  • Faculty of Science (FNWI) - Swammerdam Institute for Life Sciences (SILS)
Abstract An algorithm for estimating the entropy, which is based on the representation of the entropy function as the sum of two polynomial terms, called the polynomial approximation function and the remainder, is proposed. We construct an accurate and unbiased estimate of the value of the polynomial approximation function and use the known Bayesian approach to estimate the remainder. The combined estimator essentially reduces the bias of the constructed estimate as compared to the known estimators. Simulation results that confirm the claim are presented.
Document type Conference contribution
Language English
Published at https://doi.org/10.1109/ISIT.2012.6283012
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