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Entropy 2017, 19(5), 223; doi:10.3390/e19050223

Prediction and Evaluation of Zero Order Entropy Changes in Grammar-Based Codes

Department of Computer Science, FEECS, VSB-Technical University of Ostrava, 17. listopadu 15/12172, Ostrava 708 33, Czech Republic
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Academic Editor: Raúl Alcaraz Martínez
Received: 30 January 2017 / Revised: 9 May 2017 / Accepted: 10 May 2017 / Published: 13 May 2017
(This article belongs to the Section Information Theory)
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Abstract

The change of zero order entropy is studied over different strategies of grammar production rule selection. The two major rules are distinguished: transformations leaving the message size intact and substitution functions changing the message size. Relations for zero order entropy changes were derived for both cases and conditions under which the entropy decreases were described. In this article, several different greedy strategies reducing zero order entropy, as well as message sizes are summarized, and the new strategy MinEnt is proposed. The resulting evolution of the zero order entropy is compared with a strategy of selecting the most frequent digram used in the Re-Pair algorithm. View Full-Text
Keywords: data compression; grammars; entropy; transformations; context; Re-Pair data compression; grammars; entropy; transformations; context; Re-Pair
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Vasinek, M.; Platos, J. Prediction and Evaluation of Zero Order Entropy Changes in Grammar-Based Codes. Entropy 2017, 19, 223.

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