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3 months ago

Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mapping

Zhe Li Shiyi Qi Yiduo Li Zenglin Xu

Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mapping

Abstract

Long-term time series forecasting has gained significant attention in recent years. While there are various specialized designs for capturing temporal dependency, previous studies have demonstrated that a single linear layer can achieve competitive forecasting performance compared to other complex architectures. In this paper, we thoroughly investigate the intrinsic effectiveness of recent approaches and make three key observations: 1) linear mapping is critical to prior long-term time series forecasting efforts; 2) RevIN (reversible normalization) and CI (Channel Independent) play a vital role in improving overall forecasting performance; and 3) linear mapping can effectively capture periodic features in time series and has robustness for different periods across channels when increasing the input horizon. We provide theoretical and experimental explanations to support our findings and also discuss the limitations and future works. Our framework's code is available at \url{https://github.com/plumprc/RTSF}.

Code Repositories

plumprc/rtsf
Official
pytorch
Mentioned in GitHub

Benchmarks

BenchmarkMethodologyMetrics
time-series-forecasting-on-etth1-192-1RLinear
MAE: 0.412
MSE: 0.404
time-series-forecasting-on-etth1-336-1RLinear
MAE: 0.423
MSE: 0.42
time-series-forecasting-on-etth1-720-1RLinear
MAE: 0.456
MSE: 0.442
time-series-forecasting-on-etth1-96-1RLinear
MAE: 0.391
MSE: 0.366
time-series-forecasting-on-etth2-192-1RLinear
MAE: 0.374
MSE: 0.319
time-series-forecasting-on-etth2-336-1RLinear
MAE: 0.386
MSE: 0.325
time-series-forecasting-on-etth2-720-1RLinear
MAE: 0.421
MSE: 0.372
time-series-forecasting-on-etth2-96-1RLinear
MAE: 0.331
MSE: 0.262
time-series-forecasting-on-ettm1-192-1RLinear
MAE: 0.363
MSE: 0.335
time-series-forecasting-on-ettm1-336-1RLinear
MAE: 0.383
MSE: 0.37
time-series-forecasting-on-ettm1-720-1RLinear
MAE: 0.414
MSE: 0.425
time-series-forecasting-on-ettm1-96-1RLinear
MAE: 0.342
MSE: 0.301
time-series-forecasting-on-ettm2-192-1RLinear
MAE: 0.29
MSE: 0.219
time-series-forecasting-on-ettm2-336-1RLinear
MAE: 0.326
MSE: 0.273
time-series-forecasting-on-ettm2-720-1RLinear
MAE: 0.385
MSE: 0.366
time-series-forecasting-on-ettm2-96-1RLinear
MAE: 0.253
MSE: 0.164
time-series-forecasting-on-weather-192RLinear
MAE: 0.26
MSE: 0.218
time-series-forecasting-on-weather-192RLinear-CI
Accuracy: 0.235
MSE: 0.189
time-series-forecasting-on-weather-336RLinear-CI
Accuracy: 0.275
MSE: 0.241
time-series-forecasting-on-weather-336RLinear
MAE: 0.294
MSE: 0.265
time-series-forecasting-on-weather-720RLinear-CI
Accuracy: 0.327
MSE: 0.314
time-series-forecasting-on-weather-720RLinear
MAE: 0.339
MSE: 0.329
time-series-forecasting-on-weather-96RLinear
MAE: 0.225
MSE: 0.175
time-series-forecasting-on-weather-96RLinear-CI
MAE: 0.194
MSE: 0.146

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Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mapping | Papers | HyperAI