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RobustSTL: A Robust Seasonal-Trend Decomposition Algorithm for Long Time Series

AAAI 2019 · Time series › Causal and generative time series · approach: Robust forecasting and evaluation · 222 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RobustSTL instead of TBATSSynthetic data trend decomposition · Synthetic data — trendMSE: 0.3150 -> 0.0530Helped
Use RobustSTL instead of TBATSSynthetic data trend decomposition · Synthetic data — trendMAE: 0.3637 -> 0.1627Helped
Use RobustSTL instead of TBATSSynthetic data season decomposition · Synthetic data — seasonMSE: 0.1839 -> 0.0265Helped
Use RobustSTL instead of TBATSSynthetic data season decomposition · Synthetic data — seasonMAE: 0.2770 -> 0.0750Helped
Combine LAD trend extraction with sparse regularization and non-local seasonal filteringRobustSTL · Synthetic data with trend shifts, seasonal shifts, anomalies, and noiseTrend and season MSE: RobustSTL: trend 0.0530, season 0.0265; TBATS: trend 0.3150, season 0.1839Helped
Use RobustSTL rather than standard STL, TBATS, or STRReal-world data decomposition · Real dataset 1 and real dataset 2Trend and season component fidelityHelped
Use bilateral filtering rather than ordinary smoothing that destroys abrupt structureRobustSTL · Synthetic and real-world time seriesPreservation of abrupt trend changes and spikesHelped
Use neighborhoods around prior seasonal cycles instead of only same-phase historical pointsRobustSTL non-local seasonal filtering · Time series with seasonality shiftsSeasonality shift handlingHelped

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