ScholarGate
Асистент

Сравнение на методи

Прегледайте избраните методи един до друг; редовете с разлики са откроени.

Ентропия на извадката×Фрактален анализ×Рекурентен квантификационен анализ (RQA)×
ОбластСложни системиСложни системиСложни системи
СемействоMachine learningMachine learningMachine learning
Година на възникване200019832007
СъздателRichman & MoormanBenoit MandelbrotMarwan, Romano, Thiel & Kurths
ТипNonlinear entropy measureGeometric complexity quantificationNonlinear time-series characterization
Основополагащ източникRichman, 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 ↗Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. ISBN: 978-0-7167-1186-5Marwan, N., Romano, M. C., Thiel, M., & Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Physics Reports, 438(5–6), 237–329. DOI ↗
Други названияSampEn, Sample Entropy (SampEn), Örneklem Entropisi, Nonlinear Complexity MeasureBox-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal AnalizRQA, Recurrence Plot Analysis, Nonlinear Recurrence Analysis, Tekrarlama Kantifikasyon Analizi
Свързани222
РезюмеSample 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.Fractal 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.Recurrence Quantification Analysis (RQA) is a nonlinear method for characterizing the dynamics of a time series by quantifying the small-scale structure of its recurrence plot. Introduced in its modern, comprehensive form by Marwan, Romano, Thiel, and Kurths in 2007, RQA extracts scalar measures — such as recurrence rate, determinism, laminarity, and Shannon entropy — that capture periodicity, chaos, stationarity, and transitions in complex dynamical systems.
ScholarGateНабор от данни
  1. v1
  2. 1 Източници
  3. PUBLISHED
  1. v1
  2. 1 Източници
  3. PUBLISHED
  1. v1
  2. 1 Източници
  3. PUBLISHED

Към търсенето Изтегляне на слайдове

ScholarGateСравнение на методи: Sample Entropy · Fractal Analysis · Recurrence Quantification Analysis. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare