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| Sample Entropy× | Phân tích Fractal× | |
|---|---|---|
| Lĩnh vực | Hệ thống phức hợp | Hệ thống phức hợp |
| Họ | Machine learning | Machine learning |
| Năm ra đời≠ | 2000 | 1983 |
| Người khởi xướng≠ | Richman & Moorman | Benoit Mandelbrot |
| Loại≠ | Nonlinear entropy measure | Geometric complexity quantification |
| Công trình gốc≠ | Richman, 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: 978-0-7167-1186-5 |
| Tên gọi khác | SampEn, Sample Entropy (SampEn), Örneklem Entropisi, Nonlinear Complexity Measure | Box-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal Analiz |
| Liên quan | 2 | 2 |
| Tóm tắt≠ | 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. | 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. |
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