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SEMPO: Lightweight Foundation Models for Time Series Forecasting
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Proposes SEMPO, a 6.5M-parameter time series foundation model pre-trained on ~83M time points, combining energy-aware spectral decomposition with a mixture-of-prompts Transformer for zero- and few-shot forecasting.
Problem
Existing time series foundation models are very large and need massive pre-training data, and they under-utilize low-energy frequency signals, which limits deployment in resource-constrained settings.
Approach
Split each series' spectrum into high- and low-energy branches using a learnable energy threshold, apply independently parameterized multi-band frequency masks per branch, and adapt a small Transformer via a token-routed mixture of dataset-specific prompts (prefix-style key/value prompts) instead of large MoE layers.
Key results
- Zero-shot on TSLib with 6.5M params and 83M pre-training points: best MSE on 12 of 14 dataset-metric cells (e.g., ETTh2 MSE 0.341 vs 0.355 for next best), reporting average MSE reductions of 23.1% over all methods.
- Few-shot (5% training data) on TSLib: SEMPO achieves best MSE on 12 cells, average MSE reduction of 32.3% versus compared models.
- Ablation: replacing dual-branch masking with multi-band masking raises average zero-shot MSE from 0.350 to 0.399.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SEMPO instead of the strongest compared models | Zero-shot forecasting · TSLib | MSE: 23.1% | Helped |
| Use SEMPO instead of the strongest compared models | Few-shot forecasting with 5% training data · TSLib | MSE: 32.3% | Helped |
| Replace dual-branch energy-aware spectral masking with multi-band masking (ablation) | SEMPO · TSLib, zero-shot average | MSE: 0.350 -> 0.399 | Hurt |
| Replace dual-branch spectral masking with random patch masking (ablation) | SEMPO · TSLib, zero-shot average | MSE: 0.350 -> 0.416 | Hurt |
| Replace MoP with sparse MoE (3 experts, 1 activated) (ablation) | SEMPO · TSLib, zero-shot | MSE | Hurt |
| Remove MoP's adaptive router and use prefix tuning (ablation) | SEMPO · TSLib, zero-shot | MSE | Hurt |
| Increase the number of masked series | SEMPO · ETTh1/h2, ETTm1/m2, Weather | forecasting performance | Mixed |
| Vary the prompt number | SEMPO · ETTh1/h2, ETTm1/m2, Weather | forecasting performance | No clear effect |
| Increase latent dimension beyond 256 | SEMPO · ETTh1/h2, ETTm1/m2, Weather | forecasting performance | Hurt |
Surprising findings
- Lightweight TTM reaches comparable MSE on ETTh1 with only 1M parameters and 3.2s inference, far faster than SEMPO (22s), which the authors acknowledge is less competitive on efficiency.
Limitations
- Forecasting is univariate via channel independence; multivariate interactions are not modeled.
- Less competitive than TTM on parameter count and inference time, per the authors' efficiency table.
- Performance declines at larger model sizes, likely from mismatch between capacity and the 83M-point pre-training data.
Experimental setup
Datasets: UTSD subset (~83M time points) ETTh1 ETTh2 ETTm1 ETTm2 Weather Electricity Traffic GIFT-Eval
Benchmarks: TSLib (ETTh1, ETTh2, ETTm1, ETTm2, Weather, Electricity, Traffic) GIFT-Eval (9 datasets)
Metrics: MSE MAE SMAPE NRMSE
Baselines: TTM Time-MoE Timer Moirai Chronos TimesFM Moment Time-LLM GPT4TS S2IP-LLM iTransformer DLinear
Builds on: prefix tuning PatchTST Mixture of Experts RMSNorm SwiGLU
Closest papers by meaning
- Less is More: Unlocking Specialization of Time Series Foundation Models via Structured Pruning (NeurIPS 2025 · similarity 0.89)
- TimeBase: The Power of Minimalism in Efficient Long-term Time Series Forecasting (ICML 2025 · similarity 0.88)
- Towards a General Time Series Forecasting Model with Unified Representation and Adaptive Transfer (ICML 2025 · similarity 0.88)
- Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Experts (ICLR 2025 · similarity 0.88)
- MOMENT: A Family of Open Time-series Foundation Models (ICML 2024 · similarity 0.88)
- TimePFN: Effective Multivariate Time Series Forecasting with Synthetic Data (AAAI 2025 · similarity 0.87)
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