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CALF: Aligning LLMs for Time Series Forecasting via Cross-modal Fine-Tuning
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Proposes CALF, a cross-modal LLM fine-tuning framework for multivariate time series forecasting that aligns a temporal branch with a textual GPT2-based branch via a cross-modal match module and feature/output losses.
Problem
LLM-based multivariate time series forecasting suffers from a distribution discrepancy between temporal tokens and textual tokens, which limits accuracy and few/zero-shot generalization.
Approach
Two parallel GPT2 branches (a textual source branch and a temporal target branch) are aligned at input via PCA-reduced word embeddings with cross-attention, at every intermediate layer via a feature regularization loss, and at the output via an output consistency loss; only the temporal branch is used at inference.
Key results
- Reduces MSE/MAE by 7.05%/6.53% versus PatchTST and 5.98%/5.34% versus TimeLLM on long-term forecasting averaged across horizons.
- On few-shot ETT (10% training data), CALF averages about 8% lower error than TimeLLM and 9% lower than PatchTST.
- Efficiency table reports CALF training time of 135 s on ETTm1 versus 1476 s for Time-LLM and 626 s for GPT4TS.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use CALF instead of PatchTST | Long-term forecasting · ETTh2 | MSE: 0.366 -> 0.349 | Helped |
| Use CALF instead of MICN | Long-term forecasting · Weather | MSE: 0.242 -> 0.250 | Hurt |
| Use CALF instead of iTransformer | Long-term forecasting · Traffic | MSE: 0.428 -> 0.439 | Hurt |
| Add feature regularization loss (ablation) | CALF with supervised loss on ETTh1 · ETTh1 | MSE: 0.446 -> 0.434 | Helped |
| Add output consistency loss (ablation) | CALF with supervised loss on ETTh1 · ETTh1 | MSE: 0.446 -> 0.438 | Helped |
| Add feature regularization loss (ablation) | CALF with supervised loss on Weather · Weather | MSE: 0.263 -> 0.254 | Helped |
| Add output consistency loss (ablation) | CALF with supervised loss on Weather · Weather | MSE: 0.263 -> 0.258 | Helped |
| Add both feature regularization and output consistency losses (ablation) | CALF with supervised loss on ETTh1 · ETTh1 | MSE: 0.446 -> 0.432 | Helped |
| Add both feature regularization and output consistency losses (ablation) | CALF with supervised loss on Weather · Weather | MSE: 0.263 -> 0.250 | Helped |
| Vary the number of principal components (ablation) | CALF cross-modal match module · ETTh1 and ETTh2 | forecasting performance | Mixed |
Surprising findings
- Ablation on the PCA dimension d shows performance is not very sensitive to the number of principal components.
Limitations
- Relies on PCA over word embeddings, which loses information (explained variance ratio of 88% at d=500)
- Alignment is evaluated mostly via visualizations and ablations; the paper does not provide a theoretical justification
Experimental setup
Datasets: ETTh1 ETTh2 ETTm1 ETTm2 Weather ECL Traffic M4
Benchmarks: ETTh1 ETTh2 ETTm1 ETTm2 Weather ECL Traffic M4
Metrics: MSE MAE SMAPE MASE OWA
Baselines: TimeLLM GPT4TS PatchTST iTransformer Crossformer FEDformer TimesNet DLinear TiDE N-BEATS
Builds on: TimeLLM GPT4TS LoRA PatchTST
Closest papers by meaning
- TimeCMA: Towards LLM-Empowered Multivariate Time Series Forecasting via Cross-Modality Alignment (AAAI 2025 · similarity 0.92)
- Time-LLM: Time Series Forecasting by Reprogramming Large Language Models (ICLR 2024 · similarity 0.90)
- LangTime: A Language-Guided Unified Model for Time Series Forecasting with Proximal Policy Optimization (ICML 2025 · similarity 0.88)
- STEM-LTS: Integrating Semantic-Temporal Dynamics in LLM-driven Time Series Analysis (AAAI 2025 · similarity 0.88)
- $S^2$IP-LLM: Semantic Space Informed Prompt Learning with LLM for Time Series Forecasting (ICML 2024 · similarity 0.88)
- TimeXL: Explainable Multi-modal Time Series Prediction with LLM-in-the-Loop (NeurIPS 2025 · similarity 0.88)
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