Document Detail

Approximate entropy (ApEn) as a complexity measure.
MedLine Citation:
PMID:  12780163     Owner:  NLM     Status:  Publisher    
Approximate entropy (ApEn) is a recently developed statistic quantifying regularity and complexity, which appears to have potential application to a wide variety of relatively short (greater than 100 points) and noisy time-series data. The development of ApEn was motivated by data length constraints commonly encountered, e.g., in heart rate, EEG, and endocrine hormone secretion data sets. We describe ApEn implementation and interpretation, indicating its utility to distinguish correlated stochastic processes, and composite deterministic/ stochastic models. We discuss the key technical idea that motivates ApEn, that one need not fully reconstruct an attractor to discriminate in a statistically valid manner-marginal probability distributions often suffice for this purpose. Finally, we discuss why algorithms to compute, e.g., correlation dimension and the Kolmogorov-Sinai (KS) entropy, often work well for true dynamical systems, yet sometimes operationally confound for general models, with the aid of visual representations of reconstructed dynamics for two contrasting processes. (c) 1995 American Institute of Physics.
Steve Pincus
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Publication Detail:
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  5     ISSN:  1089-7682     ISO Abbreviation:  Chaos     Publication Date:  1995 Mar 
Date Detail:
Created Date:  2003-Jun-3     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  -    
Other Details:
Languages:  ENG     Pagination:  110-117     Citation Subset:  -    
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