Crossroads of Optimization under Uncertainty: How to Choose the Optimal Model

Chengxi She, Zhiqiang Chen, Xingyu Lu, Caihua Chen, Piaoyang Zhao, Xuedong Wang


Abstract
To address two correlated question in Optimization under Uncertainty (OuU): Expertise Threshold and Selection Conundrum, we propose LLM4OuU, a multi-agent framework that automates both the modeling and solving of six distinct types of uncertainty models and generates mapping pairs to explore the potential relationship between optimization problems and optimal models. Firstly, we decompose the complex modeling process into five sequential steps and design specialized LLM agents combining high-level domain expertise. Secondly, we introduce a hybrid dataset spanning various industries based on Retrieval-Augmented Generation (RAG) to benchmark performance. Extensive experiments demonstrate that LLM4OuU achieves superior performance compared to baselines, even reaching up to 99% on specific model types. Finally, we establish a mapping from problem features to optimal models, with correlation analysis revealing that not only data scale but also the specific scenario significantly influence model selection.
Anthology ID:
2026.findings-acl.172
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
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
3508–3539
Language:
URL:
https://preview.aclanthology.org/ingest-acl/2026.findings-acl.172/
DOI:
Bibkey:
Cite (ACL):
Chengxi She, Zhiqiang Chen, Xingyu Lu, Caihua Chen, Piaoyang Zhao, and Xuedong Wang. 2026. Crossroads of Optimization under Uncertainty: How to Choose the Optimal Model. In Findings of the Association for Computational Linguistics: ACL 2026, pages 3508–3539, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
Crossroads of Optimization under Uncertainty: How to Choose the Optimal Model (She et al., Findings 2026)
Copy Citation:
PDF:
https://preview.aclanthology.org/ingest-acl/2026.findings-acl.172.pdf
Checklist:
 2026.findings-acl.172.checklist.pdf