Entropy Measures for Data Analysis

doi:10.3390/books978-3-03928-033-9

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Entropy Measures for Data Analysis

Theory, Algorithms and Applications

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December 2019

260 pages

ISBN978-3-03928-032-2 (Paperback)
ISBN978-3-03928-033-9 (PDF)

https://doi.org/10.3390/books978-3-03928-033-9

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This book is a reprint of the Special Issue Entropy Measures for Data Analysis: Theory, Algorithms and Applications that was published in

Chemistry & Materials Science

Computer Science & Mathematics

Physical Sciences

Summary

Entropies and entropy-like quantities play an increasing role in modern non-linear data analysis. Fields that benefit from this application range from biosignal analysis to econophysics and engineering. This issue is a collection of papers touching on different aspects of entropy measures in data analysis, as well as theoretical and computational analyses.

The relevant topics include the difficulty to achieve adequate application of entropy measures and the acceptable parameter choices for those entropy measures, entropy-based coupling, and similarity analysis, along with the utilization of entropy measures as features in automatic learning and classification. Various real data applications are given.

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Keywords

experiment of design; empirical mode decomposition; signal analysis; similarity indices; synchronization analysis; auditory attention; entropy measure; linear discriminant analysis (LDA); support vector machine (SVM); auditory attention classifier; electroencephalography (EEG); vague entropy; distance induced vague entropy; distance; complex fuzzy set; complex vague soft set; entropy, entropy visualization; entropy balance equation; Shannon-type relations; multivariate analysis; machine learning evaluation; data transformation; sample entropy; treadmill walking; center of pressure displacement; dual-tasking; analog circuit; fault diagnosis; cross wavelet transform; Tsallis entropy; parametric t-distributed stochastic neighbor embedding; support vector machine; information transfer; Chinese stock sectors; effective transfer entropy; market crash; system coupling; cross-visibility graphs; image entropy; geodesic distance; Dempster-Shafer evidence theory; uncertainty of basic probability assignment; belief entropy; plausibility transformation; weighted Hartley entropy; Shannon entropy; learning; information; novelty detection; non-probabilistic entropy; learning systems; permutation entropy; embedded dimension; short time records; signal classification; relevance analysis; global optimization; meta-heuristic; firefly algorithm; cross-entropy method; co-evolution; symbolic analysis; ordinal patterns; Permutation entropy; conditional entropy of ordinal patterns; Kolmogorov-Sinai entropy; algorithmic complexity; information entropy; particle size distribution; selfsimilar measure; simulation; data analysis; entropy; entropy measures; automatic learning