On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments

Cross-approximate entropy (XApEn) quantifies the mutual orderliness of simultaneously recorded time series. Despite being derived from the firmly established solitary entropies, it has never reached their reputation and deployment. The aim of this study is to identify the problems that preclude wide...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2017-01, Vol.2017 (2017), p.1-15
Main Authors: Japundzic-Zigon, Nina, Milovanovic, Branislav, Sarenac, Olivera, Skoric, Tamara, Bajic, Dragana
Format: Article
Language:English
Subjects:
Analysis
Artificial environments
Biomedical engineering
Diabetes
Electrocardiography
Entropy
Entropy (Information theory)
Hypertension
Laboratory animals
Males
Medical research
Medicine
Methods
Parameters
Physiology
Rats
Rodents
Stability
Stability criteria
Studies
Time series
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Summary:Cross-approximate entropy (XApEn) quantifies the mutual orderliness of simultaneously recorded time series. Despite being derived from the firmly established solitary entropies, it has never reached their reputation and deployment. The aim of this study is to identify the problems that preclude wider XApEn implementation and to develop a set of solutions. Exact expressions for XApEn and its constitutive parts are derived and compared to values estimated from artificial data. This comparison revealed vast regions within the parameter space that do not guarantee reliable probability estimation, making XApEn estimates inconsistent. A simple correction to one of the XApEn procedural steps is proposed. Three sets of formulae for joint parameter selection are derived. The first one is intended to maximize threshold profile. The remaining ones minimize XApEn instability according to the strong and weak criteria. The derived expressions are verified using cardiovascular signals recorded from rats (long signals) and healthy volunteers (short clinical signals), proposing a change of traditional parameter guidelines.
ISSN:1076-2787
1099-0526
DOI:10.1155/2017/8365685