Process / pipelineMatrix decomposition and reconstruction

Singular Spectrum Analysis

Singular Spectrum Analysis (SSA) je neparametarska metoda za dekompoziciju i prognoziranje vremenskih serija zasnovana na dekompoziciji po singularnim vrednostima (SVD) ugrađene matrice sa vremenskim kašnjenjem. Uvedena od strane Broomheada i Kinga (1986) i dalje razvijena od strane Vautarda, Yioua i Ghila (1992), SSA dekomponuje vremenske serije na komponente trenda, oscilacija i šuma bez pretpostavke o osnovnom modelu. Posebno je efikasna za kratke, bučne nestacionarne signale gde parametarske metode ne uspevaju.

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Izvori

  1. Broomhead, D. S., & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2–3), 217–236. DOI: 10.1016/0167-2789(86)90031-X
  2. Vautard, R., Yiou, P., & Ghil, M. (1992). Singular-spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D: Nonlinear Phenomena, 58(1–4), 95–126. DOI: 10.1016/0167-2789(92)90103-T
  3. Golyandina, N., Nekrutkin, V., & Zhigljavsky, A. (2001). Analysis of Time Series Structure: SSA and Related Techniques. Chapman and Hall/CRC. link

Kako citirati ovu stranicu

ScholarGate. (2026, June 3). Singular Spectrum Analysis. ScholarGate. https://scholargate.app/sr/time-series/singular-spectrum-analysis

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ScholarGateSingular Spectrum Analysis (Singular Spectrum Analysis). Preuzeto 2026-06-15 sa https://scholargate.app/sr/time-series/singular-spectrum-analysis · Skup podataka: https://doi.org/10.5281/zenodo.20539026