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Like approximate entropy (ApEn), Sample entropy (SampEn) is a measure of complexity. [1] But it does not include self-similar patterns as ApEn does. For a given embedding dimension, tolerance and number of data points, SampEn is the negative natural logarithm of the probability that if two sets of simultaneous data points of length have distance < then two sets of simultaneous data points of ...
In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large values of the independent variables. This is done by introducing fast-scale and slow-scale variables for ...
The inspiration for adopting the word entropy in information theory came from the close resemblance between Shannon's formula and very similar known formulae from statistical mechanics. In statistical thermodynamics the most general formula for the thermodynamic entropy S of a thermodynamic system is the Gibbs entropy
Multiscale entropy (MSE) which measures the complexity of physiological time-series (cited more than 2,600 times). [4] [5] An algorithm, based on information theory and statistical physics, for linguistic analysis of symbolic sequences. [6] It has been applied to bio-medical signals, human languages, and DNA sequences. Prof.
Multiscale decision-making draws upon the analogies between physical systems and complex man-made systems. [citation needed] In meteorology, multiscale modeling is the modeling of the interaction between weather systems of different spatial and temporal scales that produces the weather that we experience.
In various science/engineering applications, such as independent component analysis, [1] image analysis, [2] genetic analysis, [3] speech recognition, [4] manifold learning, [5] and time delay estimation [6] it is useful to estimate the differential entropy of a system or process, given some observations.
Brought up by Ginestra Bianconi in 2007, the entropy of a network ensemble measures the level of the order or uncertainty of a network ensemble. [24] The entropy is the logarithm of the number of graphs. [25] Entropy can also be defined in one network. Basin entropy is the logarithm of the attractors in one Boolean network. [26]
A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT).