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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/8365685 |
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| _version_ | 1832562760178728960 |
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| author | Tamara Skoric Olivera Sarenac Branislav Milovanovic Nina Japundzic-Zigon Dragana Bajic |
| author_facet | Tamara Skoric Olivera Sarenac Branislav Milovanovic Nina Japundzic-Zigon Dragana Bajic |
| author_sort | Tamara Skoric |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-af96224a95794c2188854f8fdfb1b9e3 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-af96224a95794c2188854f8fdfb1b9e32025-02-03T01:21:50ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/83656858365685On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial EnvironmentsTamara Skoric0Olivera Sarenac1Branislav Milovanovic2Nina Japundzic-Zigon3Dragana Bajic4Faculty of Technical Sciences-DEET, Center of Excellence CEVAS, University of Novi Sad, Trg Dositeja Obradovica 6, 21000 Novi Sad, SerbiaSchool of Medicine, Institute of Pharmacology, Clinical Pharmacology and Toxicology, University of Belgrade, Dr. Subotica 1, 11129 Belgrade, SerbiaDepartment of Cardiology, Neurocardiology Laboratory, University Hospital Medical Center “Bezanijska Kosa”, Bezanijska Kosa bb, 11080 Belgrade, SerbiaSchool of Medicine, Institute of Pharmacology, Clinical Pharmacology and Toxicology, University of Belgrade, Dr. Subotica 1, 11129 Belgrade, SerbiaFaculty of Technical Sciences-DEET, Center of Excellence CEVAS, University of Novi Sad, Trg Dositeja Obradovica 6, 21000 Novi Sad, SerbiaCross-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.http://dx.doi.org/10.1155/2017/8365685 |
| spellingShingle | Tamara Skoric Olivera Sarenac Branislav Milovanovic Nina Japundzic-Zigon Dragana Bajic On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments Complexity |
| title | On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments |
| title_full | On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments |
| title_fullStr | On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments |
| title_full_unstemmed | On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments |
| title_short | On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments |
| title_sort | on consistency of cross approximate entropy in cardiovascular and artificial environments |
| url | http://dx.doi.org/10.1155/2017/8365685 |
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