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DeformableTST: Transformer for Time Series Forecasting without Over-reliance on Patching
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Proposes DeformableTST, a hierarchical Transformer with a data-driven deformable sparse attention that reduces reliance on patching for time series forecasting.
Problem
Patch-based Transformer forecasters need very long inputs and large patches to perform well, which makes them unsuitable for tasks with short input lengths; full attention spreads focus over all time points without patching.
Approach
Replaces full attention with a learnable deformable sparse attention that samples important time points via input-dependent offsets, combined with a hierarchical backbone and optional small patching, so the model focuses on key time points without relying on patch partitions.
Key results
- Long-term forecasting averaged over input lengths 96/384/768: ETTh1 MSE 0.413 vs PatchTST-style baselines around 0.43-0.44 (Pathformer 0.439, CARD 0.430).
- Univariate short-term forecasting achieves averaged 14.1% SMAPE improvement over the second-best model.
- Multivariate short-term forecasting achieves averaged 25.6% MSE improvement over the second-best model.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use DeformableTST instead of the second-best model on univariate short-term forecasting | Univariate short-term forecasting tasks · M1, M3, M4, Tourism, NN5, Hospital, KDD Cup | SMAPE: averaged 14.1% SMAPE promotion | Helped |
| Use DeformableTST instead of the second-best model on multivariate short-term forecasting | Multivariate short-term forecasting tasks · Exchange, ILI, ETTh1, ETTh2, PEMS | MSE: averaged 25.6% MSE promotion | Helped |
| Add hierarchical structure after removing patching (ablation) | PatchTST adapted toward DeformableTST · Long-term forecasting | memory usage | Helped |
| Add deformable attention after removing patching (ablation) | PatchTST adapted toward DeformableTST · Long-term forecasting | MSE | Helped |
| Add local enhancement modules (LPU and ConvFFN) (ablation) | DeformableTST · Long-term forecasting | MSE | Helped |
| Replace deformable attention with ProbSparse attention (ablation) | DeformableTST · Long-term forecasting, input length 96; eight datasets | MSE: ETTh1: 0.425 -> 0.431; ETTh2: 0.346 -> 0.379; ETTm1: 0.373 -> 0.390; ETTm2: 0.283 -> 0.295; Weather: 0.251 -> 0.267; Sol | Hurt |
| Replace deformable attention with AutoCorrelation (ablation) | DeformableTST · Long-term forecasting, input length 96; eight datasets | MSE: ETTh1: 0.425 -> 0.449; ETTh2: 0.346 -> 0.375; ETTm1: 0.373 -> 0.393; ETTm2: 0.283 -> 0.292; Weather: 0.251 -> 0.263; Sol | Hurt |
| Replace deformable attention with FourierAttention (ablation) | DeformableTST · Long-term forecasting, input length 96; eight datasets | MSE: ETTh1: 0.425 -> 0.453; ETTh2: 0.346 -> 0.374; ETTm1: 0.373 -> 0.384; ETTm2: 0.283 -> 0.290; Weather: 0.251 -> 0.266; Sol | Hurt |
| Replace deformable attention with full attention (ablation) | DeformableTST · Long-term forecasting, input length 96; eight datasets | MSE: ETTh1: 0.425 -> 0.447; ETTh2: 0.346 -> 0.373; ETTm1: 0.373 -> 0.385; ETTm2: 0.283 -> 0.293; Weather: 0.251 -> 0.260; Sol | Hurt |
| Replace deformable attention with window attention (ablation) | DeformableTST · Long-term forecasting, input length 96; eight datasets | MSE: ETTh1: 0.425 -> 0.441; ETTh2: 0.346 -> 0.370; ETTm1: 0.373 -> 0.380; ETTm2: 0.283 -> 0.291; Weather: 0.251 -> 0.263; Sol | Hurt |
Surprising findings
- Full attention without patching spreads focus almost evenly over all input time points, and PatchTST's performance degrades without patching, suggesting patching is a crutch for attention.
Limitations
- Does not model multivariate correlations (variate-independent embedding), which the authors note hurts short-term multivariate performance on PEMS versus cross-variate methods like CARD and iTransformer.
- Patching is still used for very long inputs for efficiency, so reliance is reduced rather than eliminated.
Experimental setup
Datasets: Weather Traffic ECL Solar-Energy ETTh1 ETTh2 ETTm1 ETTm2 PEMS03 PEMS04 PEMS07 PEMS08
Benchmarks: Weather Traffic ECL Solar-Energy ETTh1 ETTh2 ETTm1 ETTm2 PEMS Exchange ILI M1
Metrics: MSE MAE SMAPE MASE OWA
Baselines: Pathformer CARD GPT4TS PatchTST iTransformer FEDformer Autoformer RLinear TiDE TimesNet DLinear SCINet
Builds on: PatchTST Deformable DETR RevIN Swin Transformer
Closest papers by meaning
- A Closer Look at Transformers for Time Series Forecasting: Understanding Why They Work and Where They Struggle (ICML 2025 · similarity 0.89)
- HDT: Hierarchical Discrete Transformer for Multivariate Time Series Forecasting (AAAI 2025 · similarity 0.89)
- Unlocking the Power of Patch: Patch-Based MLP for Long-Term Time Series Forecasting (AAAI 2025 · similarity 0.89)
- Revisiting the Generic Transformer: Deconstructing a Strong Baseline for Time Series Foundation Models (NeurIPS 2026 · similarity 0.88)
- iTransformer: Inverted Transformers Are Effective for Time Series Forecasting (ICLR 2024 · similarity 0.88)
- Sequence Complementor: Complementing Transformers for Time Series Forecasting with Learnable Sequences (AAAI 2025 · similarity 0.88)
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