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CALF: Aligning LLMs for Time Series Forecasting via Cross-modal Fine-Tuning

AAAI 2025 · Time series › Foundation models for time series · approach: LLM-based time series forecasting · 66 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use CALF instead of PatchTSTLong-term forecasting · ETTh2MSE: 0.366 -> 0.349Helped
Use CALF instead of MICNLong-term forecasting · WeatherMSE: 0.242 -> 0.250Hurt
Use CALF instead of iTransformerLong-term forecasting · TrafficMSE: 0.428 -> 0.439Hurt
Add feature regularization loss (ablation)CALF with supervised loss on ETTh1 · ETTh1MSE: 0.446 -> 0.434Helped
Add output consistency loss (ablation)CALF with supervised loss on ETTh1 · ETTh1MSE: 0.446 -> 0.438Helped
Add feature regularization loss (ablation)CALF with supervised loss on Weather · WeatherMSE: 0.263 -> 0.254Helped
Add output consistency loss (ablation)CALF with supervised loss on Weather · WeatherMSE: 0.263 -> 0.258Helped
Add both feature regularization and output consistency losses (ablation)CALF with supervised loss on ETTh1 · ETTh1MSE: 0.446 -> 0.432Helped
Add both feature regularization and output consistency losses (ablation)CALF with supervised loss on Weather · WeatherMSE: 0.263 -> 0.250Helped
Vary the number of principal components (ablation)CALF cross-modal match module · ETTh1 and ETTh2forecasting performanceMixed

Surprising findings

Limitations

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

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