Nemenman, 2011b

From Ilya Nemenman: Theoretical Biophysics @ Emory
Revision as of 22:03, 25 March 2012 by nemenman>Ilya
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Back to the full Publications list.

I Nemenman. Coincidences and estimation of entropies of random variables with large cardinalities. Entropy 13, 2013-2023, 2011. PDF, arXiv.

Abstract
We perform an asymptotic analysis of the NSB estimator of entropy of a discrete random variable. The analysis illuminates the dependence of the estimates on the number of coincidences in the sample and shows that the estimator has a well defined limit for a large cardinality of the studied variable. This allows estimation of entropy with no a priori assumptions about the cardinality. Software implementation of the algorithm is available.