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Anàlisi Fractal×Entropia de Mostra×
CampSistemes complexosSistemes complexos
FamíliaMachine learningMachine learning
Any d'origen19832000
Autor originalBenoit MandelbrotRichman & Moorman
TipusGeometric complexity quantificationNonlinear entropy measure
Font seminalMandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. ISBN: 978-0-7167-1186-5Richman, J. S., & Moorman, J. R. (2000). Physiological time-series analysis using approximate entropy and sample entropy. American Journal of Physiology, 278(6), H2039–H2049. DOI ↗
ÀliesBox-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal AnalizSampEn, Sample Entropy (SampEn), Örneklem Entropisi, Nonlinear Complexity Measure
Relacionats22
ResumFractal Analysis quantifies the self-similar, scale-invariant complexity of geometric objects and time series through the fractal dimension D and the Hurst exponent H. Introduced systematically by Benoit Mandelbrot in his 1983 landmark work, the framework extends classical Euclidean geometry to irregular shapes found in nature, finance, physiology, and materials science. It provides a single dimensionless index that captures how completely a pattern fills space across multiple scales.Sample Entropy (SampEn) is a nonlinear measure of the complexity and regularity of a time series. Introduced by Richman and Moorman in 2000 as an improvement over Approximate Entropy (ApEn), it quantifies the likelihood that similar patterns of a given length in the series remain similar when extended by one additional data point. A higher SampEn value indicates greater irregularity and complexity, while a lower value indicates more regularity or self-similarity.
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ScholarGateCompara mètodes: Fractal Analysis · Sample Entropy. Recuperat el 2026-06-15 de https://scholargate.app/ca/compare