Fast calculation of entropy with Zhang's estimator
July 26, 2017 ยท Declared Dead ยท ๐ Issues in Quantitative Linguistics 4
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Authors
Antoni Lozano, Bernardino Casas, Chris Bentz, Ramon Ferrer-i-Cancho
arXiv ID
1707.08290
Category
cs.CL: Computation & Language
Citations
2
Venue
Issues in Quantitative Linguistics 4
Last Checked
4 months ago
Abstract
Entropy is a fundamental property of a repertoire. Here, we present an efficient algorithm to estimate the entropy of types with the help of Zhang's estimator. The algorithm takes advantage of the fact that the number of different frequencies in a text is in general much smaller than the number of types. We justify the convenience of the algorithm by means of an analysis of the statistical properties of texts from more than 1000 languages. Our work opens up various possibilities for future research.
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