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Anàlisi Espectral Singular×Descomposició en valors singulars×
CampSèries temporalsMètodes numèrics
FamíliaProcess / pipelineMachine learning
Any d'origen19861965
Autor originalDavid BroomheadGene Golub
TipusDimension reduction and trend extractionLinear algebra decomposition
Font seminalBroomhead, 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 ↗
ÀliesSSA, SVD-based decompositionSVD, thin SVD, reduced SVD
Relacionats30
ResumSingular 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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ScholarGateCompara mètodes: Singular Spectrum Analysis · Singular Value Decomposition. Recuperat el 2026-06-15 de https://scholargate.app/ca/compare