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Historical Inertia: A Neglected but Powerful Baseline for Long Sequence Time-series Forecasting

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Long sequence time-series forecasting (LSTF) has become increasingly popular for its wide range of applications. Though superior models have been proposed to enhance the prediction effectiveness and efficiency, it is reckless to neglect or underestimate one of the most natural and basic temporal properties of time-series. In this paper, we introduce a new baseline for LSTF, the historical inertia (HI), which refers to the most recent historical data-points in the input time series. We experimentally evaluate the power of historical inertia on four public real-word datasets. The results demonstrate that up to 82\% relative improvement over state-of-the-art works can be achieved even by adopting HI directly as output.

Yue Cui, Jiandong Xie, Kai Zheng• 2021

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TaskDatasetResultRank
Traffic ForecastingPeMS08
RMSE50.43
242
Traffic ForecastingPeMS07
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Traffic Flow ForecastingPEMS08 (test)
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Traffic Flow ForecastingPEMS04 (test)
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Multivariate Time-series ForecastingPeMS04--
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Traffic ForecastingPeMSD7 (test)
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Traffic Flow ForecastingPEMS03 (test)
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Traffic ForecastingPeMS04
MAE42.35
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Traffic ForecastingPeMS03
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Traffic ForecastingMETR-LA 30min horizon 6
MAE6.8
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