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Análise Espectral Singular×PCA Kernel×
ÁreaSéries temporaisAprendizado de máquina
FamíliaProcess / pipelineLatent structure
Ano de origem19861998
Autor originalDavid BroomheadSchölkopf, B.; Smola, A. J.; Müller, K.-R.
TipoDimension reduction and trend extractionNonlinear dimensionality reduction via kernel trick
Fonte seminalBroomhead, D. S., & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2–3), 217–236. DOI ↗Schölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. DOI ↗
Outros nomesSSA, SVD-based decompositionKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decomposition
Relacionados35
ResumoSingular 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.Kernel Principal Component Analysis (Kernel PCA) is a nonlinear dimensionality-reduction method introduced by Bernhard Schölkopf, Alexander Smola, and Klaus-Robert Müller in 1997–1998. It extends classical linear PCA to curved, non-linear data manifolds by implicitly mapping input data into a high-dimensional feature space via a kernel function, then performing standard PCA in that space — all without ever computing the mapping explicitly.
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ScholarGateComparar métodos: Singular Spectrum Analysis · Kernel PCA. Recuperado em 2026-06-15 de https://scholargate.app/pt/compare