# Robust and Adaptive Optimization under a Large Language Model Lens

arXiv: https://arxiv.org/abs/2501.00568 · HTML: https://mlsanity.com/paper/2501.00568/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Dec 2024.

## Built on by (most cited first, 8 of 8)

- [OptimAI: Optimization from Natural Language Using LLM-Powered AI Agents](https://mlsanity.com/paper/2504.16918/) (2025)
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- [Canonical Intermediate Representation for LLM-based optimization problem formulation and code generation](https://mlsanity.com/paper/2602.02029/) (2026)
- [Learning Virtual Machine Scheduling in Cloud Computing through Language Agents](https://mlsanity.com/paper/2505.10117/) (2025)
- [Large Language Model-Based Automatic Formulation for Stochastic Optimization Models](https://mlsanity.com/paper/2508.17200/) (2025)
- [Optimizing Service Operations via LLM-Powered Multi-Agent Simulation](https://mlsanity.com/paper/2604.04383/) (2026)
- [Automated Reformulation of Robust Optimization via Memory-Augmented Large Language Models](https://mlsanity.com/paper/2605.11813/) (2026)

## Abstract (arXiv)

In this paper, we explore the application of ChatGPT in the domain of Robust and Adaptive Robust Optimization. We demonstrate that with appropriate prompting, ChatGPT can be used to auto-formulate and solve simple Robust and Adaptive Optimization Problems. We first develop specialized informational prompts tailored to the domains of Adaptive and Robust Optimization. Then, we show that using these prompts, ChatGPT is able to (i) formulate an optimization problem, (ii) adapt the problem so that it accounts for user-specified uncertainty, (iii) derive the computationally tractable robust counterpart of the problem and (iv) produce executable code that solves the problem. For simple Optimization Problems, we show that ChatGPT is able to perform these steps with little to no errors. We also highlight some instances of erroneous execution of the steps. Overall, we show that using in-context learning, ChatGPT has the potential to adapt to higlhy specialized and niche domains, in which it would otherwise demonstrate very poor out-of-the-box performance.