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Analiza singularnog spektra×Singularna dekompozicija×
PodručjeVremenske serijeNumeričke metode
ObiteljProcess / pipelineMachine learning
Godina nastanka19861965
TvoracDavid BroomheadGene Golub
VrstaDimension reduction and trend extractionLinear algebra decomposition
Temeljni izvorBroomhead, 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 ↗
Drugi naziviSSA, SVD-based decompositionSVD, thin SVD, reduced SVD
Srodne30
SažetakSingular 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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ScholarGateUsporedite metode: Singular Spectrum Analysis · Singular Value Decomposition. Preuzeto 2026-06-17 s https://scholargate.app/hr/compare