A pipeline combining mirrored signal extension, randomized SVD, energy thresholding, and hierarchical clustering reproduces classical SSA components on geophysical and biophysical time series without downsampling.
Variations of singular spectrum analysis for separability improvement: non-orthogonal decompositions of time series
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abstract
Singular spectrum analysis (SSA) as a nonparametric tool for decomposition of an observed time series into sum of interpretable components such as trend, oscillations and noise is considered. The separability of these series components by SSA means the possibility of such decomposition. Two variations of SSA, which weaken the separability conditions, are proposed. Both proposed approaches consider inner products corresponding to oblique coordinate systems instead of the conventional Euclidean inner product. One of the approaches performs iterations to obtain separating inner products. The other method changes contributions of the components by involving the series derivative to avoid component mixing. Performance of the suggested methods is demonstrated on simulated and real-life data.
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physics.geo-ph 1years
2024 1verdicts
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On the Optimization of Singular Spectrum Analyses: A Pragmatic Approach
A pipeline combining mirrored signal extension, randomized SVD, energy thresholding, and hierarchical clustering reproduces classical SSA components on geophysical and biophysical time series without downsampling.