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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
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Related Experiment Video

Updated: Jan 8, 2026

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

986

Granger-TSllm: Granger causality enhanced LLMs with residual-quantized tokenizer for multivariate time series

Jiaqi Chu1, Chengbao Liu2, Xiwei Bai2

  • 1Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, China; School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, 100049, China.

Neural Networks : the Official Journal of the International Neural Network Society
|December 13, 2025
PubMed
Summary

This study introduces Granger-TSllm, a novel framework using large language models (LLMs) for multivariate time series (MTS) forecasting. It overcomes data limitations and improves generalization for accurate MTS predictions.

Keywords:
Fine-tuning LLMs for MTSMultivariate time series forecastingNonlinear Granger causalityResidual-quantized tokenizer

Related Experiment Videos

Last Updated: Jan 8, 2026

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

986

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Data Science

Background:

  • Multivariate time series (MTS) forecasting is crucial for process monitoring and decision-making.
  • Current deep learning models struggle with generalization due to training requirements.
  • Large Language Models (LLMs) show promise for MTS forecasting but face modality gaps and dependency challenges.

Purpose of the Study:

  • To propose a novel two-stage framework, Granger-TSllm, for enhanced MTS forecasting using LLMs.
  • To address challenges in generating MTS representations for LLMs and capturing inter-variable dependencies.
  • To improve the generalization capabilities of LLMs in MTS forecasting tasks.

Main Methods:

  • Developed a Residual-Quantized Time Series Tokenizer for compact, discrete MTS embeddings.
  • Utilized selective fine-tuning of LLMs for complex temporal modeling.
  • Introduced a Granger Causality Modification Module to leverage inter-variable nonlinear correlations.

Main Results:

  • Granger-TSllm significantly outperforms existing state-of-the-art MTS forecasting models.
  • The framework demonstrates robust generalization capabilities.
  • Achieved superior performance in few-shot and zero-shot forecasting scenarios.

Conclusions:

  • Granger-TSllm offers a powerful and generalizable approach to MTS forecasting.
  • The integration of LLMs with specialized modules enhances predictive accuracy.
  • This method effectively bridges the modality gap for time series data in LLMs.