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The rapid advancement toward sixth-generation (6G) wireless networks has significantly intensified the complexity and scale of optimization problems, including resource allocation and trajectory design, often formulated as combinatorial…

Networking and Internet Architecture · Computer Science 2025-09-09 Bisheng Wei , Ruihong Jiang , Ruichen Zhang , Yinqiu Liu , Dusit Niyato , Yaohua Sun , Yang Lu , Yonghui Li , Shiwen Mao , Chau Yuen , Marco Di Renzo , Mugen Peng

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

Combinatorial optimization (CO) problems, central to decision-making scenarios like logistics and manufacturing, are traditionally solved using problem-specific algorithms requiring significant domain expertise. While large language models…

Artificial Intelligence · Computer Science 2025-09-24 Xia Jiang , Yaoxin Wu , Minshuo Li , Zhiguang Cao , Yingqian Zhang

Evolutionary algorithms excel in solving complex optimization problems, especially those with multiple objectives. However, their stochastic nature can sometimes hinder rapid convergence to the global optima, particularly in scenarios…

Neural and Evolutionary Computing · Computer Science 2024-05-10 Zeyi Wang , Songbai Liu , Jianyong Chen , Kay Chen Tan

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

Tackling complex optimization problems often relies on expert-designed heuristics, typically crafted through extensive trial and error. Recent advances demonstrate that large language models (LLMs), when integrated into well-designed…

Neural and Evolutionary Computing · Computer Science 2025-05-20 Ziyao Huang , Weiwei Wu , Kui Wu , Jianping Wang , Wei-Bin Lee

Large Language Models (LLMs) have demonstrated great capabilities across diverse natural language tasks; yet their ability to solve abstraction and optimization problems with constraints remains scarcely explored. In this paper, we…

Artificial Intelligence · Computer Science 2026-03-25 Fabien Bernier , Salah Ghamizi , Pantelis Dogoulis , Maxime Cordy

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

The rapid evolution of Large Language Models (LLMs) has markedly expanded their application across diverse domains, transforming how complex problems are approached and solved. Initially conceived to predict subsequent words in texts, these…

Artificial Intelligence · Computer Science 2024-07-11 Sumedh Rasal , E. J. Hauer

Mathematics is often perceived as a complex subject by students, leading to high failure rates in exams. To improve Mathematics skills, it is important to provide sample questions for students to practice problem-solving. Manually creating…

Scientific discovery increasingly depends on efficient experimental optimization to navigate vast design spaces under time and resource constraints. Traditional approaches often require extensive domain expertise and feature engineering.…

Machine Learning · Computer Science 2025-11-10 Bojana Ranković , Ryan-Rhys Griffiths , Philippe Schwaller

Molecular discovery, when formulated as an optimization problem, presents significant computational challenges because optimization objectives can be non-differentiable. Evolutionary Algorithms (EAs), often used to optimize black-box…

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

Modern optimisation algorithms are often metaheuristic, and they are very promising in solving NP-hard optimization problems. In this paper, we show how to use the recently developed Firefly Algorithm to solve nonlinear design problems. For…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang

Large Language Models (LLMs) have driven significant progress, yet their growing parameter counts and context windows incur prohibitive compute, energy, and monetary costs. We introduce EfficientLLM, a novel benchmark and the first…

Mechanism design has long been a cornerstone of economic theory, with traditional approaches relying on mathematical derivations. Recently, automated approaches, including differentiable economics with neural networks, have emerged for…

Machine Learning · Computer Science 2025-02-19 Jiayuan Liu , Mingyu Guo , Vincent Conitzer

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

Large Language Models (LLMs) have unveiled remarkable capabilities in understanding and generating both natural language and code, but LLM reasoning is prone to hallucination and struggle with complex, novel scenarios, often getting stuck…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Antonio Jimeno Yepes , Pieter Barnard

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

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