Efficiently Measuring Complexity on the Basis of Real-World Data

Permutation entropy, introduced by Bandt and Pompe, is a conceptually simple and well-interpretable measure of time series complexity. In this paper, we propose efficient methods for computing it and related ordinal-patterns-based characteristics. The methods are based on precomputing values of succ...

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Bibliographic Details
Main Authors: Valentina A. Unakafova, Karsten Keller
Format: Article
Language:English
Published: MDPI AG 2013-10-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/15/10/4392
Description
Summary:Permutation entropy, introduced by Bandt and Pompe, is a conceptually simple and well-interpretable measure of time series complexity. In this paper, we propose efficient methods for computing it and related ordinal-patterns-based characteristics. The methods are based on precomputing values of successive ordinal patterns of order d, considering the fact that they are “overlapped” in d points, and on precomputing successive values of the permutation entropy related to “overlapping” successive time-windows. The proposed methods allow for measurement of the complexity of very large datasets in real-time.
ISSN:1099-4300