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Expand and Compress: Exploring Tuning Principles for Continual Spatio-Temporal Graph Forecasting
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Proposes EAC, a continual spatio-temporal graph forecasting method that freezes an STGNN backbone and tunes a node-level prompt parameter pool grown by expansion and compressed via low-rank factorization.
Problem
Continual forecasting on streaming spatio-temporal graphs whose node sets expand over time, where fine-tuning STGNNs causes catastrophic forgetting and high tuning/storage cost.
Approach
Freeze the STGNN backbone and learn only a node-level prompt parameter pool that grows with newly added nodes (expand, motivated by a heterogeneity/dispersion argument) and is factorized into low-rank node subspace matrices plus a shared matrix (compress, motivated by a low-rank argument with k=O(log min(n,d))).
Key results
- On PEMS-Stream average, EAC reaches MAE 13.53 and RMSE 21.77 versus 14.14/23.04 for the best prior baseline STKEC.
- EAC attains lowest MAE on all three datasets, e.g., Air-Stream average MAE 20.75 vs 21.12 for Continual-ST-AN.
- Training time per period is reduced by a factor of 1.26 to 3.02 relative to other methods, and EAC uses about 59% of tuning parameters at k=6.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the EAC continuous prompt pool instead of continual full-model tuning | Continual spatio-temporal forecasting · Air-Stream, PEMS-Stream, and Energy-Stream | MAE, RMSE, and MAPE: Air-Stream Avg. MAE: 21.12 ±0.51 -> 20.75 ±0.20; PEMS-Stream Avg. MAE: 14.14 ±0.04 -> 13.53 ±0.06; Energy-Stream Avg. MA | Helped |
| Apply EAC prompt pooling rather than LoRA layers | PEMS-Stream forecasting with the same backbone · PEMS-Stream 12-step | MAE: 16.22 ±0.13 -> 14.92 ±0.11 | Helped |
| Apply EAC prompt pooling rather than LoRA layers | PEMS-Stream forecasting with the same backbone · PEMS-Stream 12-step | Avg. Time: 337.31 ±23.90 -> 224.33 ±26.35 | Helped |
| Add EAC prompts to different STGNN backbones | Six spatial/spectral graph and sequence operator combinations · PEMS-Stream Avg. | MAE: 14.07 ±0.07 -> 13.72 ±0.01; 13.23 ±0.10 -> 12.83 ±0.05; 14.69 ±0.42 -> 14.64 ±0.53; 14.01 ±0.01 -> 13.62 ±0.12; 13.73 ±0 | Mixed |
| Reduce the prompt-pool rank k from 6 to 2 (ablation) | EAC · Larger datasets | Tuning parameters: ∼ 63% | Helped |
| Decrease prompt-pool rank k (ablation) | EAC on PEMS-Stream · PEMS-Stream | Forecasting performance | Hurt |
| Increase prompt-pool rank k beyond 6 (ablation) | EAC on PEMS-Stream · PEMS-Stream | Forecasting performance | No clear effect |
Surprising findings
- Pretrain-ST performs worst on small datasets, and Continual-ST-NN (new nodes only) performs poorly due to forgetting.
- Attention-based backbones benefit least from EAC, attributed to overfitting from extra parameters.
Limitations
- Some baselines (PECPM, TFMoE, STKEC) lacked official code, so comparisons may be unfair or reproduced by the authors.
- Only one hyper-parameter k is studied, and the theoretical low-rank result is an existence argument rather than a guarantee on trained prompts.
- Few-shot and universality results are limited to PEMS-Stream in the main text.
Experimental setup
Datasets: PEMS-Stream Air-Stream Energy-Stream
Benchmarks: PEMS-Stream Air-Stream Energy-Stream
Metrics: MAE RMSE MAPE
Baselines: Pretrain-ST Retrain-ST Continual-ST-AN Continual-ST-NN TrafficStream STKEC PECPM TFMoE LoRA-based fine-tuning
Builds on: TrafficStream TFMoE STKEC PECPM LoRA
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