Python Functions:

EntropyHub functions fall into 5 categories:

Base

functions for estimating the entropy of a single univariate time series.

Cross

functions for estimating the entropy between two univariate time series.

Bidimensional

functions for estimating the entropy of a two-dimensional univariate matrix.

Multiscale

functions for estimating the multiscale entropy of a single univariate time series using any of the Base entropy functions.

Multiscale Cross

functions for estimating the multiscale entropy between two univariate time series using any of the Cross-entropy functions.

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When new entropies are published in the scientific literature, efforts will be made to incorporate them in future releases.

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Important

For concision, function commands written in the following sections using Python syntax exclude the module prefix which would otherwise be required,

i.e. EntropyHub.SampEn() is written as SampEn().

Note

Python functions in EntropyHub are based primarily on the Numpy package. Arguments shown in python functions with the np. prefix refer to numpy functions.

Base Entropies:

Entropy Type	Function Name
Approximate Entropy	ApEn
Sample Entropy	SampEn
Fuzzy Entropy	FuzzEn
Kolmogorov Entropy	K2En
Permutation Entropy	PermEn
Conditional Entropy	CondEn
Distribution Entropy	DistEn
Spectral Entropy	SpecEn
Dispersion Entropy	DispEn
Symbolic Dynamic Entropy	SyDyEn
Increment Entropy	IncrEn
Cosine Similarity Entropy	CoSiEn
Phase Entropy	PhasEn
Slope Entropy	SlopEn
Bubble Entropy	BubbEn
Gridded Distribution Entropy	GridEn
Entropy of Entropy	EnofEn
Attention Entropy	AttnEn
Diversity Entropy	DivEn
Range Entropy	RangEn

Cross Entropies:

Entropy Type	Function Name
Cross-Approximate Entropy	XApEn
Cross-Sample Entropy	XSampEn
Cross-Fuzzy Entropy	XFuzzEn
Cross-Kolmogorov Entropy	XK2En
Cross-Permutation Entropy	XPermEn
Cross-Conditional Entropy	XCondEn
Cross-Distribution Entropy	XDistEn
Cross-Spectral Entropy	XSpecEn

Bidimensional Entropies:

Entropy Type	Function Name
Bidimensional Sample Entropy	SampEn2D
Bidimensional Fuzzy Entropy	FuzzEn2D
Bidimensioanl Distribution Entropy	DistEn2D
Bidimensioanl Dispersion Entropy	DispEn2D
Bidimensioanl Permutation Entropy	PermEn2D
Bidimensioanl Espinosa Entropy	EspEn2D

Multiscale Entropies:

Entropy Type	Function Name
Multiscale Entropy	MSEn
Composite Multiscale Entropy (+ Refined-Composite Multiscale Entropy)	cMSEn
Refined Multiscale Entropy	rMSEn
Hierarchical Multiscale Entropy	hMSEn

Multiscale Cross-Entropies:

Entropy Type	Function Name
Multiscale Cross-Entropy	XMSEn
Composite Multiscale Cross-Entropy (+ Refined-Composite Multiscale Cross-Entropy)	cXMSEn
Refined Multiscale Cross-Entropy	rXMSEn
Hierarchical Multiscale Cross-Entropy	hXMSEn