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This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

The recent boom of large language models (LLMs) has re-ignited the hope that artificial intelligence (AI) systems could aid medical diagnosis. Yet despite dazzling benchmark scores, LLM assistants have yet to deliver measurable improvements…

Artificial Intelligence · Computer Science 2025-07-03 Matthew JY Kang , Wenli Yang , Monica R Roberts , Byeong Ho Kang , Charles B Malpas

Many important scientific problems involve multivariate optimization coupled with slow and laborious experimental measurements. These complex, high-dimensional searches can be defined by non-convex optimization landscapes that resemble…

Machine Learning · Computer Science 2025-09-22 Abdoulatif Cissé , Xenophon Evangelopoulos , Vladimir V. Gusev , Andrew I. Cooper

Large language models (LLMs) have exhibited expert-level capabilities across various domains. However, their abilities to solve problems in Operations Research (OR) -- the analysis and optimization of mathematical models derived from…

Artificial Intelligence · Computer Science 2025-07-01 Akshit Kumar , Tianyi Peng , Yuhang Wu , Assaf Zeevi

The semantic capabilities of large language models (LLMs) have the potential to enable rich analytics and reasoning over vast knowledge corpora. Unfortunately, existing systems either empirically optimize expensive LLM-powered operations…

Databases · Computer Science 2025-03-04 Liana Patel , Siddharth Jha , Melissa Pan , Harshit Gupta , Parth Asawa , Carlos Guestrin , Matei Zaharia

Large language models (LLMs) are increasingly used to convert natural language descriptions into mathematical optimization formulations. Current evaluations often treat formulations as a whole, relying on coarse metrics like solution…

Machine Learning · Computer Science 2025-10-21 Dania Refai , Moataz Ahmed

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

This paper introduces a novel Large Language Models (LLMs)-assisted agent that automatically converts natural-language descriptions of power system optimization scenarios into compact, solver-ready formulations and generates corresponding…

Artificial Intelligence · Computer Science 2025-08-12 Yunkai Hu , Tianqiao Zhao , Meng Yue

Molecular design involves an enormous and irregular search space, where traditional optimizers such as Bayesian optimization, genetic algorithms, and generative models struggle to leverage expert knowledge or handle complex feedback.…

Machine Learning · Computer Science 2025-12-09 Nian Ran , Yue Wang , Xiaoyuan Zhang , Zhongzheng Li , Qingsong Ran , Wenhao Li , Richard Allmendinger

Large language models (LLMs) are increasingly used to automate feature engineering in tabular learning. Given task-specific information, LLMs can propose diverse feature transformation operations to enhance downstream model performance.…

Machine Learning · Computer Science 2026-01-30 Zhuoyan Li , Aditya Bansal , Jinzhao Li , Shishuang He , Zhuoran Lu , Mutian Zhang , Qin Liu , Yiwei Yang , Swati Jain , Ming Yin , Yunyao Li

Query optimization is a critical task in database systems, focused on determining the most efficient way to execute a query from an enormous set of possible strategies. Traditional approaches rely on heuristic search methods and cost…

Databases · Computer Science 2025-03-11 Zhiming Yao , Haoyang Li , Jing Zhang , Cuiping Li , Hong Chen

Vision-language models (VLMs) pre-trained on web-scale datasets have demonstrated remarkable capabilities on downstream tasks when fine-tuned with minimal data. However, many VLMs rely on proprietary data and are not open-source, which…

Computation and Language · Computer Science 2024-05-15 Shihong Liu , Zhiqiu Lin , Samuel Yu , Ryan Lee , Tiffany Ling , Deepak Pathak , Deva Ramanan

Existing tasks fall short in evaluating reasoning ability of Large Language Models (LLMs) in an interactive, unknown environment. This deficiency leads to the isolated assessment of deductive, inductive, and abductive reasoning, neglecting…

Artificial Intelligence · Computer Science 2026-05-07 Congchi Yin , Tianyi Wu , Yankai Shu , Alex Gu , Yunhan Wang , Jun Shao , Xun Jiang , Piji Li

The challenge of designing effective reward functions in reinforcement learning (RL) represents a significant bottleneck, often requiring extensive human expertise and being time-consuming. Previous work and recent advancements in large…

Machine Learning · Computer Science 2025-11-25 Franklin Cardenoso , Wouter Caarls

This paper introduces a novel Bayesian learning model to explain the behavior of Large Language Models (LLMs), focusing on their core optimization metric of next token prediction. We develop a theoretical framework based on an ideal…

Machine Learning · Computer Science 2024-09-25 Siddhartha Dalal , Vishal Misra

Large language models (LLMs) have been widely adopted in mathematical optimization in scientific scenarios for their extensive knowledge and advanced reasoning capabilities. Existing methods mainly focus on utilizing LLMs to solve…

Optimization and Control · Mathematics 2025-03-18 Qitan Lv , Tianyu Liu , Hong Wang

Large language models (LLMs) have achieved remarkable success in various natural language processing tasks, yet they remain prone to generating factually incorrect outputs known as hallucinations. While recent approaches have shown promise…

Computation and Language · Computer Science 2026-03-25 Qiyao Sun , Xingming Li , Xixiang He , Ao Cheng , Xuanyu Ji , Hailun Lu , Runke Huang , Qingyong Hu

Designing optimization approaches, whether heuristic or meta-heuristic, usually demands extensive manual intervention and has difficulty generalizing across diverse problem domains. The combination of Large Language Models (LLMs) and…

Neural and Evolutionary Computing · Computer Science 2024-10-29 He Yu , Jing Liu

In the rapidly evolving field of natural language processing, the translation of linguistic descriptions into mathematical formulation of optimization problems presents a formidable challenge, demanding intricate understanding and…

Computation and Language · Computer Science 2024-03-05 Tasnim Ahmed , Salimur Choudhury

The recent prevalence of pretrained language models (PLMs) has dramatically shifted the paradigm of semantic parsing, where the mapping from natural language utterances to structured logical forms is now formulated as a Seq2Seq task.…

Computation and Language · Computer Science 2022-12-06 Lunyiu Nie , Jiuding Sun , Yanlin Wang , Lun Du , Lei Hou , Juanzi Li , Shi Han , Dongmei Zhang , Jidong Zhai