Fast calculation of entropy with Zhang's estimator

July 26, 2017 ยท Declared Dead ยท ๐Ÿ› 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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