Time Series Forecasting as Reasoning: A Slow-Thinking Approach with Reinforced LLMs

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Hauptverfasser: Zhou, Yitong, Luo, Yucong, Cheng, Mingyue, Liu, Qi, Wang, Jiahao, Wang, Daoyu, Chen, Enhong
Format: Preprint
Veröffentlicht: 2025
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author Zhou, Yitong
Luo, Yucong
Cheng, Mingyue
Liu, Qi
Wang, Jiahao
Wang, Daoyu
Chen, Enhong
author_facet Zhou, Yitong
Luo, Yucong
Cheng, Mingyue
Liu, Qi
Wang, Jiahao
Wang, Daoyu
Chen, Enhong
contents To advance time series forecasting (TSF), various methods have been proposed to improve prediction accuracy, evolving from statistical techniques to data-driven deep learning architectures. Despite their effectiveness, most existing methods still adhere to a fast thinking paradigm-relying on extracting historical patterns and mapping them to future values as their core modeling philosophy, lacking an explicit thinking process that incorporates intermediate time series reasoning. Meanwhile, emerging slow-thinking LLMs (e.g., OpenAI-o1) have shown remarkable multi-step reasoning capabilities, offering an alternative way to overcome these issues. However, prompt engineering alone presents several limitations - including high computational cost, privacy risks, and limited capacity for in-depth domain-specific time series reasoning. To address these limitations, a more promising approach is to train LLMs to develop slow thinking capabilities and acquire strong time series reasoning skills. For this purpose, we propose Time-R1, a two-stage reinforcement fine-tuning framework designed to enhance multi-step reasoning ability of LLMs for time series forecasting. Specifically, the first stage conducts supervised fine-tuning for warmup adaptation, while the second stage employs reinforcement learning to improve the model's generalization ability. Particularly, we design a fine-grained multi-objective reward specifically for time series forecasting, and then introduce GRIP (group-based relative importance for policy optimization), which leverages non-uniform sampling to further encourage and optimize the model's exploration of effective reasoning paths. Experiments demonstrate that Time-R1 significantly improves forecast performance across diverse datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10630
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Time Series Forecasting as Reasoning: A Slow-Thinking Approach with Reinforced LLMs
Zhou, Yitong
Luo, Yucong
Cheng, Mingyue
Liu, Qi
Wang, Jiahao
Wang, Daoyu
Chen, Enhong
Machine Learning
Artificial Intelligence
To advance time series forecasting (TSF), various methods have been proposed to improve prediction accuracy, evolving from statistical techniques to data-driven deep learning architectures. Despite their effectiveness, most existing methods still adhere to a fast thinking paradigm-relying on extracting historical patterns and mapping them to future values as their core modeling philosophy, lacking an explicit thinking process that incorporates intermediate time series reasoning. Meanwhile, emerging slow-thinking LLMs (e.g., OpenAI-o1) have shown remarkable multi-step reasoning capabilities, offering an alternative way to overcome these issues. However, prompt engineering alone presents several limitations - including high computational cost, privacy risks, and limited capacity for in-depth domain-specific time series reasoning. To address these limitations, a more promising approach is to train LLMs to develop slow thinking capabilities and acquire strong time series reasoning skills. For this purpose, we propose Time-R1, a two-stage reinforcement fine-tuning framework designed to enhance multi-step reasoning ability of LLMs for time series forecasting. Specifically, the first stage conducts supervised fine-tuning for warmup adaptation, while the second stage employs reinforcement learning to improve the model's generalization ability. Particularly, we design a fine-grained multi-objective reward specifically for time series forecasting, and then introduce GRIP (group-based relative importance for policy optimization), which leverages non-uniform sampling to further encourage and optimize the model's exploration of effective reasoning paths. Experiments demonstrate that Time-R1 significantly improves forecast performance across diverse datasets.
title Time Series Forecasting as Reasoning: A Slow-Thinking Approach with Reinforced LLMs
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2506.10630