arXiv:2605.11813cs.AI2026-05

用记忆增强模型自动完成鲁棒优化的数学转化,省去人工繁琐步骤。

Automated Reformulation of Robust Optimization via Memory-Augmented Large Language Models

论文配图:Automated Reformulation of Robust Optimization via Memory-Augmented Large Language Models
图 1 · 摘自论文原文
  • 通过构建文本经验记忆,让大模型自主反思错误并改进转化策略。
  • 在多种数据集和模型上,准确率与效率均显著提升,且无需调参。
  • 适合需要自动化优化建模的工程师或研究者快速部署使用。

鲁棒优化(RO)为不确定环境下的决策提供了系统框架,但其实际应用常受限于需手动将不确定性优化模型转化为可求解的确定性形式。尽管大语言模型(LLM)在自动化优化建模方面展现出潜力,但鲁棒优化的转化仍具挑战,因其要求精确的多步推理与数学一致性转换。为此,我们开发了AutoRO-Bench,一个包含自动化数据生成流程的核心RO转化任务基准,以及用于RO应用任务的精选数据集。为应对转化难题,我们提出无需调参的记忆增强框架AutoREM,该框架通过定制化的离线适配过程,自主构建结构化文本经验记忆,以反思过往失败轨迹。AutoREM无需领域专家知识或参数更新,所生成记忆可跨不同基础大模型直接迁移。实验表明,AutoREM在分布内、分布外数据集及多种基础模型上,持续提升鲁棒优化转化的准确性与效率。

原文摘要 · Abstract (English)

Robust optimization (RO) provides a principled framework for decision-making under uncertainty, but its practical use is often limited by the need to manually reformulate uncertain optimization models into tractable deterministic counterparts. Recent large language models (LLMs) have been shown promising for automating optimization formulation, yet RO reformulation remains challenging because it requires precise multi-step reasoning and mathematically consistent transformations. To facilitate systematic evaluation of LLM-based reformulation, for which no dedicated benchmark currently exists, we develop AutoRO-Bench, a benchmark featuring an automated data generation pipeline for the core RO reformulation task and a curated dataset for the RO application task. To address the reformulation challenge, we propose Automated Reformulation with Experience Memory (AutoREM), a tuning-free memory-augmented framework that autonomously builds a structured textual experience memory by reflecting on past failed trajectories through a tailored offline adaptation procedure. AutoREM requires neither domain-specific expert knowledge nor parameter updates, and the resulting memory readily transfers across different base LLMs. Experimental results show that AutoREM consistently improves the accuracy and efficiency of RO reformulation across in-distribution datasets, out-of-distribution datasets, and diverse base LLMs.

鲁棒优化大模型自动化建模

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