Pincus, S. () Approximate Entropy (ApEn) as a Complexity Measure. Chaos, 5, APPROXIMATE ENTROPY: A COMPLEXITY MEASURE FOR. BIOLOGICAL family of statistics, ApEn, that can classify complex systems, given at least I In statistics, an approximate entropy (ApEn) is a technique used to quantify the amount of Regularity was originally measured by exact regularity statistics, which has mainly “Approximate entropy as a measure of system complexity”.

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Heart and Circulatory Physiology. Here, we provide a brief summary of the calculations, as applied to a time series of heart rate measurements. The application of the compound measures is shown to correlate with complexity analysis. The ApEn algorithm counts each sequence as matching itself to avoid the occurrence of ln 0 in the calculations. While a concern for artificially constructed complexty, it is usually not a concern in practice.

The American Journal of Physiology. Suppose thatand that the sequence consists of 50 samples of the function illustrated above: ComplexotyDouglas D.

Approximate entropy

We can calculate for each pattern inand we define as the mean of these values. The quantity expresses the prevalence of repetitive patterns of length in. Hence is either ordepending onand the mean value of all 46 of the is: Pincus to handle these limitations by modifying an exact regularity statistic, Kolmogorov—Sinai entropy.

Hidden Information, Energy Dispersion and Disorder: By using this site, you agree to the Terms of Use and Privacy Policy. Fuzzy approximate entropy analysis of resting state fMRI signal complexity across the adult life span.

Proceedings of the National Academy of Sciences. Intuitively, one may reason that the presence of repetitive patterns of fluctuation in a time series renders it more predictable than a time series in which such patterns are absent. Since the total number of is. What does regularity quantify? The results using compound measures of behavioural patterns masure fifteen healthy individuals are presented. CameronTrevor S. Thus, if we find similar patterns in a heart rate time series, estimates the logarithmic likelihood that the next intervals after each of the patterns will differ i.


ApEn has been applied to classify EEG in psychiatric diseases, such as schizophrenia, [8] epilepsy, [9] and addiction.

MurrayRoger T. The algorithm for computing has been published elsewhere [].

Approximate entropy – Wikipedia

Does Entropy Really Measure Disorder? Nor will rank order statistics distinguish between these series. Series 2 is randomly valued; knowing one term has the value of 20 gives no insight into what value the next term will have.

Pincus Published in Chaos Approximate entropy ApEn is a recently developed statistic quantifying regularity and complexity, which appears to fntropy potential application to a wide variety of relatively short greater than points and noisy time-series data. This step might cause bias of ApEn and this bias causes ApEn to have two poor properties in practice: The quantity is the fraction of patterns of length that resemble the pattern of the same length that begins at interval.

We denote a subsequence or pattern of heart rate measurements, beginning at measurement withinby the vector.

Approximate Entropy (ApEn)

J Am Coll Cardiol ; PuthankattilPaul K. An example may help to clarify the process of calculating.

This paper has highly influenced 51 other papers. From This Paper Topics from this paper. Time series Entropy and information.

Approximate Entropy (ApEn)

If the time series is highly irregular, the occurrence of similar patterns will not be predictive for the following measurements, and will be relatively large. Finally, we define the approximate compexity offor patterns of length and similarity criterionas. Given a sequenceconsisting of instantaneous heart rate measurements, we must choose values for two input parameters, andto compute the approximate entropy,of the sequence.


Aprpoximate August ; 96 3: Retrieved from ” https: The first question to be answered is: The conditions for similarity to will be satisfied only by, The behavioural data are obtained using body attached sensors providing non-invasive readings of heart rate, skin blood perfusion, blood oxygenation, skin temperature, movement and steps frequency.

Showing of extracted citations. American Journal of Physiology. Predicting survival in heart failure case and control subjects by use of fully automated methods for deriving nonlinear and conventional indices of heart ax dynamics.

The presence of repetitive patterns of fluctuation in a time series renders it more predictable than a time series in which such patterns are absent. We can now repeat the above steps to determine how many of the are similar to, etc.

This description originally appeared in slightly modified form, and without the example, in Ho, Moody, Peng, et al. Thus, for example, is not similar tosince their last components 61 and 65 differ by more than 2 units. In statistics approximafe, an approximate entropy ApEn is a technique used to quantify the amount of regularity and the unpredictability of approdimate over time-series data.