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Autori principali: Wang, Yinsheng, You, Tario G, Boussioux, Léonard, Liu, Shan
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2511.15202
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author Wang, Yinsheng
You, Tario G
Boussioux, Léonard
Liu, Shan
author_facet Wang, Yinsheng
You, Tario G
Boussioux, Léonard
Liu, Shan
contents This paper introduces SOLID (Synergizing Optimization and Large Language Models for Intelligent Decision-Making), a novel framework that integrates mathematical optimization with the contextual capabilities of large language models (LLMs). SOLID facilitates iterative collaboration between optimization and LLMs agents through dual prices and deviation penalties. This interaction improves the quality of the decisions while maintaining modularity and data privacy. The framework retains theoretical convergence guarantees under convexity assumptions, providing insight into the design of LLMs prompt. To evaluate SOLID, we applied it to a stock portfolio investment case with historical prices and financial news as inputs. Empirical results demonstrate convergence under various scenarios and indicate improved annualized returns compared to a baseline optimizer-only method, validating the synergy of the two agents. SOLID offers a promising framework for advancing automated and intelligent decision-making across diverse domains.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15202
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SOLID: a Framework of Synergizing Optimization and LLMs for Intelligent Decision-Making
Wang, Yinsheng
You, Tario G
Boussioux, Léonard
Liu, Shan
Artificial Intelligence
This paper introduces SOLID (Synergizing Optimization and Large Language Models for Intelligent Decision-Making), a novel framework that integrates mathematical optimization with the contextual capabilities of large language models (LLMs). SOLID facilitates iterative collaboration between optimization and LLMs agents through dual prices and deviation penalties. This interaction improves the quality of the decisions while maintaining modularity and data privacy. The framework retains theoretical convergence guarantees under convexity assumptions, providing insight into the design of LLMs prompt. To evaluate SOLID, we applied it to a stock portfolio investment case with historical prices and financial news as inputs. Empirical results demonstrate convergence under various scenarios and indicate improved annualized returns compared to a baseline optimizer-only method, validating the synergy of the two agents. SOLID offers a promising framework for advancing automated and intelligent decision-making across diverse domains.
title SOLID: a Framework of Synergizing Optimization and LLMs for Intelligent Decision-Making
topic Artificial Intelligence
url https://arxiv.org/abs/2511.15202