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FSTLLM: Spatio-Temporal LLM for Few Shot Time Series Forecasting

ICML 2025 · Time series › Foundation models for time series · approach: LLM-based time series forecasting

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Proposes FSTLLM, which uses LLM-derived node embeddings to build a graph for an STGNN and then QLoRA-fine-tunes LLaMA-2-7B on prompts containing STGNN predictions to improve few-shot spatio-temporal forecasting.

Problem

Spatio-temporal GNNs and time series foundation models need large training data and struggle in few-shot forecasting settings where only about a week of training data is available.

Approach

Use LLM embeddings of node-specific textual context to learn an adjacency matrix for an STGNN, then fine-tune an LLM with domain-rich prompts that include the STGNN's numerical predictions so the LLM refines them.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Domain Knowledge Injection to FSTLLM (ablation)FSTLLM · NottinghamMAE: 25.1 -> 21.0Helped
Add Domain Knowledge Injection to FSTLLM (ablation)FSTLLM · NottinghamMAPE: 23.9% -> 20.7%Helped
Add Domain Knowledge Injection to FSTLLM (ablation)FSTLLM · NottinghamRMSE: 94.5 -> 82.3Helped
Use LLM-Enhanced Graph Construction and Domain Knowledge Injection instead of cosine similarity graph learning without injection (ablation)FSTLLM · NottinghamMAE: 27.1 -> 21.0Helped
Use LLM-Enhanced Graph Construction and Domain Knowledge Injection instead of cosine similarity graph learning without injection (ablation)FSTLLM · NottinghamMAPE: 25.1% -> 20.7%Helped
Use LLM-Enhanced Graph Construction and Domain Knowledge Injection instead of cosine similarity graph learning without injection (ablation)FSTLLM · NottinghamRMSE: 98.0 -> 82.3Helped
Integrate FSTLLM with GPT4TS predictionsGPT4TS · NottinghamMAE: 27.6 -> 21.8Helped
Integrate FSTLLM with iTransformer predictionsiTransformer · NottinghamMAE: 28.4 -> 22.3Helped
Use FSTLLM instead of GTSGTS · Nottingham, 15 minsMAE: 7.89 -> 7.83Helped
Use FSTLLM instead of GTSGTS · Nottingham, 15 minsRMSE: 42.79 -> 47.93Hurt
Use FSTLLM instead of GraphWaveNetGraphWaveNet · ECL, 1 hourMAE: 1497 -> 1663Hurt
Use FSTLLM instead of iTransformeriTransformer · ECL, 1 hourRMSE: 2947 -> 3503Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Nottingham ECL

Benchmarks: Nottingham ECL

Metrics: MAE RMSE MAPE

Baselines: ARIMA VAR DCRNN GraphWaveNet STSGCN GMAN GTS PatchTST iTransformer DLinear GPT4TS TimeLLM

Builds on: GTS Time-LLM GPT4TS QLoRA alpha-Entmax

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