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Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin

Optimization problems are pervasive in sectors from manufacturing and distribution to healthcare. However, most such problems are still solved heuristically by hand rather than optimally by state-of-the-art solvers because the expertise…

Artificial Intelligence · Computer Science 2025-08-29 Ali AhmadiTeshnizi , Wenzhi Gao , Herman Brunborg , Shayan Talaei , Connor Lawless , Madeleine Udell

Large language models (LLMs) have exhibited their problem-solving abilities in mathematical reasoning. Solving realistic optimization (OPT) problems in application scenarios requires advanced and applied mathematics ability. However,…

Machine Learning · Computer Science 2025-06-05 Zhicheng Yang , Yiwei Wang , Yinya Huang , Zhijiang Guo , Wei Shi , Xiongwei Han , Liang Feng , Linqi Song , Xiaodan Liang , Jing Tang

Automated optimization modeling via Large Language Models (LLMs) has emerged as a promising approach to assist complex human decision-making. While post-training has become a pivotal technique to enhance LLMs' capabilities in this domain,…

Machine Learning · Computer Science 2026-02-13 Weiting Liu , Han Wu , Yufei Kuang , Xiongwei Han , Tao Zhong , Jianfeng Feng , Wenlian Lu

Large Language Models (LLMs) possess substantial reasoning capabilities and are increasingly applied to optimization tasks, particularly in synergy with evolutionary computation. However, while recent surveys have explored specific aspects…

Neural and Evolutionary Computing · Computer Science 2026-01-08 Yisong Zhang , Ran Cheng , Guoxing Yi , Kay Chen Tan

Inference-time scaling has emerged as a powerful technique for enhancing the reasoning performance of Large Language Models (LLMs). However, existing approaches often rely on heuristic strategies for parallel sampling, lacking a principled…

Machine Learning · Computer Science 2025-12-22 Youkang Wang , Jian Wang , Rubing Chen , Xiao-Yong Wei

Large language models (LLMs) are moving beyond static uses and are now powering agents that learn continually during their interaction with external environments. For example, agents can learn reusable skills while navigating web pages or…

Computation and Language · Computer Science 2026-03-03 Simon Yu , Gang Li , Weiyan Shi , Peng Qi

Optimization modeling plays a critical role in the application of Operations Research (OR) tools to address real-world problems, yet they pose challenges and require extensive expertise from OR experts. With the advent of large language…

Computation and Language · Computer Science 2025-07-30 Chenyu Huang , Zhengyang Tang , Shixi Hu , Ruoqing Jiang , Xin Zheng , Dongdong Ge , Benyou Wang , Zizhuo Wang

Mathematical programming -- the task of expressing operations and decision-making problems in precise mathematical language -- is fundamental across domains, yet remains a skill-intensive process requiring operations research expertise.…

Optimization is ubiquitous. While derivative-based algorithms have been powerful tools for various problems, the absence of gradient imposes challenges on many real-world applications. In this work, we propose Optimization by PROmpting…

Machine Learning · Computer Science 2024-04-16 Chengrun Yang , Xuezhi Wang , Yifeng Lu , Hanxiao Liu , Quoc V. Le , Denny Zhou , Xinyun Chen

With the rapid development of IT operations, it has become increasingly crucial to efficiently manage and analyze large volumes of data for practical applications. The techniques of Natural Language Processing (NLP) have shown remarkable…

Optimization problems are prevalent across various scenarios. Formulating and then solving optimization problems described by natural language often requires highly specialized human expertise, which could block the widespread application…

Artificial Intelligence · Computer Science 2025-03-04 Caigao Jiang , Xiang Shu , Hong Qian , Xingyu Lu , Jun Zhou , Aimin Zhou , Yang Yu

Applications are moving away from monolithic designs to microservice and serverless architectures, where fleets of lightweight and independently deployable components run on public clouds. Autoscaling serves as the primary control mechanism…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Haoyu Bai , Muhammed Tawfiqul Islam , Minxian Xu , Rajkumar Buyya

Despite the rapid development of large language models (LLMs), a fundamental challenge persists: the lack of high-quality optimization modeling datasets hampers LLMs' robust modeling of practical optimization problems from natural language…

Artificial Intelligence · Computer Science 2025-02-24 Hongliang Lu , Zhonglin Xie , Yaoyu Wu , Can Ren , Yuxuan Chen , Zaiwen Wen

Recent advancements in large language models (LLMs) have exhibited promising performance in solving sequential decision-making problems. By imitating few-shot examples provided in the prompts (i.e., in-context learning), an LLM agent can…

Artificial Intelligence · Computer Science 2024-02-27 Yuchen Xiao , Yanchao Sun , Mengda Xu , Udari Madhushani , Jared Vann , Deepeka Garg , Sumitra Ganesh

Optimization problems are pervasive in sectors from manufacturing and distribution to healthcare. However, most such problems are still solved heuristically by hand rather than optimally by state-of-the-art solvers because the expertise…

Artificial Intelligence · Computer Science 2024-02-16 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

This paper investigates automated skill decomposition using Large Language Models (LLMs) and proposes a rigorous, ontology-grounded evaluation framework. Our framework standardizes the pipeline from prompting and generation to normalization…

Artificial Intelligence · Computer Science 2025-10-14 Le Ngoc Luyen , Marie-Hélène Abel

Optimization models developed by operations research (OR) experts are often deployed as decision-support systems in industrial settings. However, real-world environments are dynamic, with evolving business rules and unforeseen…

Artificial Intelligence · Computer Science 2026-05-28 Tinghan Ye , Arnaud Deza , Ved Mohan , El Mehdi Er Raqabi , Pascal Van Hentenryck

Large Language Models (LLMs) have garnered considerable attention owing to their remarkable capabilities, leading to an increasing number of companies offering LLMs as services. Different LLMs achieve different performance at different…

Software Engineering · Computer Science 2024-05-27 Yueyue Liu , Hongyu Zhang , Yuantian Miao , Van-Hoang Le , Zhiqiang Li

Pre-trained language models (PLMs) are known to improve the generalization performance of natural language understanding models by leveraging large amounts of data during the pre-training phase. However, the out-of-distribution (OOD)…

Computation and Language · Computer Science 2023-05-23 Linyi Yang , Shuibai Zhang , Libo Qin , Yafu Li , Yidong Wang , Hanmeng Liu , Jindong Wang , Xing Xie , Yue Zhang
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