CTRL: Control-Based Time Series Forecasting with LLM-Guided Residual Learning

Minkyoung Kim, Daeun Ji, Yohan Lee, Beomsoo Kim, Beakcheol Jang


Abstract
Time series forecasting underpins critical decision-making across diverse domains. While large language models (LLMs) offer promising reasoning capabilities, existing LLM-based time series forecasting approaches either reduce them to numerical predictors that bypass their strengths, or allow direct forecast generation that destabilizes predictions in non-stationary settings. We introduce CTRL, a framework that decouples semantic reasoning from quantitative prediction. A frozen backbone generates base forecasts, while specialized LLM agents function as controllers that analyze backbone prediction errors through decomposed trend, seasonal, and irregular components, grounding reasoning in interpretable temporal structure. Each agent outputs compact control signals that a lightweight residual decoder translates into forecast corrections. CTRL incorporates label-free test-time adaptation that detects distribution shift from input statistics alone and readapts control signals with only 3–24 LLM calls via caching. CTRL is explicitly designed to improve robustness under non-stationary temporal dynamics and distribution shift, while remaining competitive on highly stationary time series where adaptive correction provides limited additional benefit.
Anthology ID:
2026.findings-acl.1104
Volume:
Findings of the Association for Computational Linguistics: ACL 2026
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
Venue:
Findings
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Publisher:
Association for Computational Linguistics
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Pages:
21952–21968
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URL:
https://preview.aclanthology.org/ingest-acl/2026.findings-acl.1104/
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Cite (ACL):
Minkyoung Kim, Daeun Ji, Yohan Lee, Beomsoo Kim, and Beakcheol Jang. 2026. CTRL: Control-Based Time Series Forecasting with LLM-Guided Residual Learning. In Findings of the Association for Computational Linguistics: ACL 2026, pages 21952–21968, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
CTRL: Control-Based Time Series Forecasting with LLM-Guided Residual Learning (Kim et al., Findings 2026)
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https://preview.aclanthology.org/ingest-acl/2026.findings-acl.1104.pdf
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