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Future wireless networks are expected to incorporate diverse services that often lack general mathematical models. To address such black-box network management tasks, the large language model (LLM) optimizer framework, which leverages…

Information Theory · Computer Science 2025-07-04 Hoon Lee , Wentao Zhou , Merouane Debbah , Inkyu Lee

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

Large language models (LLMs) have demonstrated exceptional performance not only in natural language processing tasks but also in a great variety of non-linguistic domains. In diverse optimization scenarios, there is also a rising trend of…

Neural and Evolutionary Computing · Computer Science 2024-07-09 Beichen Huang , Xingyu Wu , Yu Zhou , Jibin Wu , Liang Feng , Ran Cheng , Kay Chen Tan

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

Optimization algorithms and large language models (LLMs) enhance decision-making in dynamic environments by integrating artificial intelligence with traditional techniques. LLMs, with extensive domain knowledge, facilitate intelligent…

Neural and Evolutionary Computing · Computer Science 2024-05-17 Sen Huang , Kaixiang Yang , Sheng Qi , Rui Wang

Large Language Models (LLMs) perform best with well-crafted prompts, yet prompt engineering remains manual, inconsistent, and inaccessible to non-experts. We introduce Promptomatix, an automatic prompt optimization framework that transforms…

Computation and Language · Computer Science 2025-07-28 Rithesh Murthy , Ming Zhu , Liangwei Yang , Jielin Qiu , Juntao Tan , Shelby Heinecke , Caiming Xiong , Silvio Savarese , Huan Wang

Large Language models (LLMs) have shown promise as generators of symbolic control policies, producing interpretable program-like representations through iterative search. However, these models are not capable of separating the functional…

Machine Learning · Computer Science 2025-10-02 Carlo Bosio , Matteo Guarrera , Alberto Sangiovanni-Vincentelli , Mark W. Mueller

Motivated by the progress made by large language models (LLMs), we introduce the framework of verbalized machine learning (VML). In contrast to conventional machine learning (ML) models that are typically optimized over a continuous…

Machine Learning · Computer Science 2025-02-17 Tim Z. Xiao , Robert Bamler , Bernhard Schölkopf , Weiyang Liu

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

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 demonstrated remarkable reasoning abilities, prompting interest in their application as black-box optimizers. This paper asserts that LLMs possess the capability for zero-shot optimization across diverse…

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

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

Large Language Models (LLMs) have achieved remarkable success across a wide range of natural language tasks, and recent efforts have sought to extend their capabilities to multimodal domains and resource-constrained environments. However,…

Machine Learning · Computer Science 2025-05-26 Yun-Da Tsai

Real-world path planning tasks typically involve multiple constraints beyond simple route optimization, such as the number of routes, maximum route length, depot locations, and task-specific requirements. Traditional approaches rely on…

Computation and Language · Computer Science 2026-03-23 Dylan Shim , Minghan Wei

The widespread application of pre-trained language models (PLMs) in natural language processing (NLP) has led to increasing concerns about their explainability. Selective rationalization is a self-explanatory framework that selects…

Computation and Language · Computer Science 2025-01-07 Libing Yuan , Shuaibo Hu , Kui Yu , Le Wu

Large Language Models (LLMs) excel at understanding natural language but struggle with optimisation tasks involving multiple constraints and user-defined preferences, which commonly arise in domains such as robotics. We propose a hybrid…

Artificial Intelligence · Computer Science 2026-05-29 Pedro Orvalho , Marta Kwiatkowska , Guillem Alenyà , Felip Manyà

Business optimisation has been used extensively to determine optimal solutions for challenging business operations. Problem formulation is an important part of business optimisation as it influences both the validity of solutions and the…

Artificial Intelligence · Computer Science 2025-04-23 Pivithuru Thejan Amarasinghe , Su Nguyen , Yuan Sun , Damminda Alahakoon

We study the potential of using large language models (LLMs) as an interactive optimizer for solving maximization problems in a text space using natural language and numerical feedback. Inspired by the classical optimization literature, we…

Artificial Intelligence · Computer Science 2024-06-21 Allen Nie , Ching-An Cheng , Andrey Kolobov , Adith Swaminathan

Large Language Models (LLMs) have shown notable potential in code generation for optimization algorithms, unlocking exciting new opportunities. This paper examines how LLMs, rather than creating algorithms from scratch, can improve existing…

Artificial Intelligence · Computer Science 2025-07-22 Camilo Chacón Sartori , Christian Blum
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