Methoden vergleichen

	Singuläre Spektralanalyse	Singulärwertzerlegung
Fachgebiet	Zeitreihen	Numerische Methoden
Familie	Process / pipeline	Machine learning
Entstehungsjahr	1986	1965
Urheber	David Broomhead	Gene Golub
Typ	Dimension reduction and trend extraction	Linear algebra decomposition
Wegweisende Quelle	Broomhead, D. S., & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2–3), 217–236.	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.
Aliasnamen	SSA, SVD-based decomposition	SVD, thin SVD, reduced SVD
Verwandt	3	0
Zusammenfassung	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.