A SIMPLE MEASURE OF THE KOLMOGOROV COMPLEXITY

Evgeny Ivanko

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Paper

A SIMPLE MEASURE OF THE KOLMOGOROV COMPLEXITY

Topics: Data Analytics; Data Reduction and Quality Assessment; Information Extraction; Mining High-Dimensional Data; Pre-Processing and Post-Processing for Data Mining

In Proceedings of the International Conference on Knowledge Discovery and Information Retrieval - Volume 0IC3K, 5-9, 2009 , Funchal - Madeira, Portugal

Author: Evgeny Ivanko

Affiliation: Russian Academy of Sciences, Russian Federation

Keyword(s): Kolmogorov complexity, Subword complexity, Compressibility.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Business Analytics ; Data Analytics ; Data Engineering ; Data Reduction and Quality Assessment ; Information Extraction ; Knowledge Discovery and Information Retrieval ; Knowledge-Based Systems ; Mining High-Dimensional Data ; Pre-Processing and Post-Processing for Data Mining ; Symbolic Systems

Abstract: In this article we propose a simple method to estimate the Kolmogorov complexity of a finite word written over a finite alphabet. Usually it is estimated by the ratio of the length of a word’s archive to the original length of the word. This approach is not satisfactory for the theory of information because it does not give an abstract measure. Moreover Kolmogorov complexity approach is not satisfactory in the practical tasks of the compressibility estimation because it measures the potential compressibility by means of the compression itself. There is another measure of a word’s complexity - subword complexity, which is equal to the number of different subwords in the word. We show the computation difficulties connected with the usage of subword complexity and propose a new simple measure of a word’s complexity, which is practically convenient development of the notion of subword complexity.

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Paper citation in several formats:

Ivanko, E. (2009). A SIMPLE MEASURE OF THE KOLMOGOROV COMPLEXITY. In Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2009) - KDIR; ISBN 978-989-674-011-5; ISSN 2184-3228, SciTePress, pages 5-9. DOI: 10.5220/0002273000050009

@conference{kdir09,
author={Evgeny Ivanko.},
title={A SIMPLE MEASURE OF THE KOLMOGOROV COMPLEXITY},
booktitle={Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2009) - KDIR},
year={2009},
pages={5-9},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002273000050009},
isbn={978-989-674-011-5},
issn={2184-3228},
}

TY - CONF

JO - Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2009) - KDIR
TI - A SIMPLE MEASURE OF THE KOLMOGOROV COMPLEXITY
SN - 978-989-674-011-5
IS - 2184-3228
AU - Ivanko, E.
PY - 2009
SP - 5
EP - 9
DO - 10.5220/0002273000050009
PB - SciTePress