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Singulární spektrální analýza×Singular Value Decomposition×
OborČasové řadyNumerické metody
RodinaProcess / pipelineMachine learning
Rok vzniku19861965
TvůrceDavid BroomheadGene Golub
TypDimension reduction and trend extractionLinear algebra decomposition
Původní zdrojBroomhead, 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 ↗
Další názvySSA, SVD-based decompositionSVD, thin SVD, reduced SVD
Příbuzné30
ShrnutíSingular 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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ScholarGatePorovnat metody: Singular Spectrum Analysis · Singular Value Decomposition. Získáno 2026-06-15 z https://scholargate.app/cs/compare