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| Analiza Spektralna Składowych× | Rozkład według wartości osobliwych× | |
|---|---|---|
| Dziedzina≠ | Szeregi czasowe | Metody numeryczne |
| Rodzina≠ | Process / pipeline | Machine learning |
| Rok powstania≠ | 1986 | 1965 |
| Twórca≠ | David Broomhead | Gene Golub |
| Typ≠ | Dimension reduction and trend extraction | Linear algebra decomposition |
| Źródło pierwotne≠ | Broomhead, D. S., & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2–3), 217–236. DOI ↗ | Golub, G. H., & Kahan, W. (1970). Calculating the singular values and pseudo-inverse of a matrix. Journal of the SIAM Series B: Numerical Analysis, 2(2), 205–224. DOI ↗ |
| Inne nazwy≠ | SSA, SVD-based decomposition | SVD, thin SVD, reduced SVD |
| Pokrewne≠ | 3 | 0 |
| Podsumowanie≠ | Singular Spectrum Analysis (SSA) is a nonparametric method for time-series decomposition and forecasting based on singular value decomposition (SVD) of a time-lagged embedding matrix. Introduced by Broomhead and King (1986) and developed further by Vautard, Yiou, and Ghil (1992), SSA decomposes time series into trend, oscillatory, and noise components without assuming any underlying model. It is particularly effective for short, noisy non-stationary signals where parametric approaches fail. | Singular Value Decomposition (SVD) is a fundamental matrix factorization technique that decomposes any m × n matrix A into the product A = U Σ V^T, where U and V are orthogonal matrices and Σ is a diagonal matrix of singular values. Developed by Gene Golub and others in the 1960s–1970s, SVD is the most robust method for analyzing matrix structure and solving linear systems. |
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