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A Time Series is Worth 64 Words: Long-term Forecasting with Transformers

ICLR 2023 · Time series › Long-term forecasting · approach: Transformers for long-term forecasting · 554 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add patching (P=16, S=8) to the Transformer (ablation)PatchTST/42 (channel-independent) · Weather, Traffic, Electricity (horizon 96)MSE: Weather 0.164->0.152; Traffic 0.397->0.367; Electricity 0.136->0.130Helped
Add channel-independence to patched Transformer (ablation)PatchTST/42 (patched) · Weather, Traffic, Electricity (horizon 96)MSE: Weather 0.168->0.152; Traffic 0.595->0.367; Electricity 0.196->0.130Helped
Use patching and channel independence together vs. original TST (ablation)PatchTST/42 · Weather horizon 96MSE: 0.177 -> 0.152Helped
Increase look-back window from 96 to 336 (no patching) (ablation)PatchTST input · Traffic horizon 96MSE: 0.518 -> 0.397 (Weather/Traffic case study, Table 1)Helped
Add patching to L=336 input (fewer tokens, longer history) (ablation)PatchTST channel-independent · Traffic horizon 96 case studyMSE: 0.397 -> 0.367Helped
Self-supervised masked pretraining before supervised fine-tuning (ablation)PatchTST · Traffic horizon 96 (Table 1 case study)MSE: 0.367 -> 0.349Helped
Remove instance normalization (ablation)PatchTST/42 · Weather horizon 96MSE: 0.152 with IN vs 0.156 withoutHelped
Self-supervised pretraining + end-to-end fine-tuning vs supervised training from scratch on large datasetsPatchTST · Traffic horizon 96 (Table 6)MSE: 0.352 fine-tuning vs 0.410 DLinear and 0.367 supervised PatchTSTHelped
Transfer representation pretrained on Electricity to other datasetsPatchTST · Weather, Traffic transferMSE: transfer fine-tuning slightly worse than same-dataset pretraining and sometimes worse than supervisedMixed

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