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Recent studies have suggested that Large Language Models (LLMs) could provide interesting ideas contributing to mathematical discovery. This claim was motivated by reports that LLM-based genetic algorithms produced heuristics offering new…

Artificial Intelligence · Computer Science 2025-11-03 Julien Herrmann , Guillaume Pallez

This paper presents an evaluation framework for assessing Large Language Models' (LLMs) capabilities in combinatorial optimization, specifically addressing the 2D bin-packing problem. We introduce a systematic methodology that combines LLMs…

Artificial Intelligence · Computer Science 2025-10-03 Syed Mahbubul Huq , Daniel Brito , Daniel Sikar , Chris Child , Tillman Weyde , Rajesh Mojumder

The art of heuristic design has traditionally been a human pursuit. While Large Language Models (LLMs) can generate code for search heuristics, their application has largely been confined to adjusting simple functions within human-crafted…

Artificial Intelligence · Computer Science 2025-09-03 Guorui Quan , Mingfei Sun , Manuel López-Ibáñez

Combinatorial optimization problems often rely on heuristic algorithms to generate efficient solutions. However, the manual design of heuristics is resource-intensive and constrained by the designer's expertise. Recent advances in…

Artificial Intelligence · Computer Science 2025-03-06 Thomas Bömer , Nico Koltermann , Max Disselnmeyer , Laura Dörr , Anne Meyer

Heuristics are widely used for dealing with complex search and optimization problems. However, manual design of heuristics can be often very labour extensive and requires rich working experience and knowledge. This paper proposes Evolution…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Fei Liu , Xialiang Tong , Mingxuan Yuan , Xi Lin , Fu Luo , Zhenkun Wang , Zhichao Lu , Qingfu Zhang

Heuristics are commonly used to tackle various search and optimization problems. Design heuristics usually require tedious manual crafting with domain knowledge. Recent works have incorporated Large Language Models (LLMs) into automatic…

Artificial Intelligence · Computer Science 2025-02-05 Shunyu Yao , Fei Liu , Xi Lin , Zhichao Lu , Zhenkun Wang , Qingfu Zhang

While systems designed for solving planning tasks vastly outperform Large Language Models (LLMs) in this domain, they usually discard the rich semantic information embedded within task descriptions. In contrast, LLMs possess parametrised…

Computation and Language · Computer Science 2025-02-03 Andrey Borro , Patricia J Riddle , Michael W Barley , Michael J Witbrock

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

In recent years, large language models (LLMs) have shown remarkable capabilities in various artificial intelligence problems. However, they fail to plan reliably, even when prompted with a detailed definition of the planning task. Attempts…

Artificial Intelligence · Computer Science 2025-10-27 Augusto B. Corrêa , André G. Pereira , Jendrik Seipp

Heuristics are a central component of deterministic planning, particularly in domain-independent settings where general applicability is prioritized over task-specific tuning. This work revisits that paradigm in light of recent advances in…

Artificial Intelligence · Computer Science 2026-01-07 Alexander Tuisov , Yonatan Vernik , Alexander Shleyfman

We posit that we can generate more robust and performant heuristics if we augment approaches using LLMs for heuristic design with tools that explain why heuristics underperform and suggestions about how to fix them. We find even simple…

Artificial Intelligence · Computer Science 2025-10-13 Pantea Karimi , Dany Rouhana , Pooria Namyar , Siva Kesava Reddy Kakarla , Venkat Arun , Behnaz Arzani

Heuristic search is the dominant paradigm in symbolic AI planning, and the strongest heuristics are the result of decades of work by planning researchers. Recent work has shown that large language models (LLMs) can design heuristics for…

Artificial Intelligence · Computer Science 2026-05-29 Elliot Gestrin , Jendrik Seipp

Automated heuristic design (AHD) has gained considerable attention for its potential to automate the development of effective heuristics. The recent advent of large language models (LLMs) has paved a new avenue for AHD, with initial efforts…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Rui Zhang , Fei Liu , Xi Lin , Zhenkun Wang , Zhichao Lu , Qingfu Zhang

We demonstrate the power of human-LLM collaboration in tackling open problems in theoretical computer science. Focusing on combinatorial optimization, we refine outputs from the FunSearch algorithm [Romera-Paredes et al., Nature 2023] to…

Machine Learning · Computer Science 2026-01-26 Henri Nikoleit , Ankit Anand , Anurag Murty Naredla , Heiko Röglin

Resource-management tasks in modern operating and distributed systems continue to rely primarily on hand-designed heuristics for tasks such as scheduling, caching, or active queue management. Designing performant heuristics is an expensive,…

Operating Systems · Computer Science 2026-01-01 Rohit Dwivedula , Divyanshu Saxena , Sujay Yadalam , Daehyeok Kim , Aditya Akella

Combinatorial optimization problems are widely encountered in real-world applications. A critical research challenge lies in designing high-quality heuristic algorithms that efficiently approximate optimal solutions within a reasonable…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Shaofeng Zhang , Shengcai Liu , Ning Lu , Jiahao Wu , Ji Liu , Yew-Soon Ong , Ke Tang

The integration of Large Language Models (LLMs) into evolutionary frameworks has established a new paradigm for automated heuristic discovery. Despite their promise, these methods typically search in the discrete space of program syntax,…

Artificial Intelligence · Computer Science 2026-05-19 Cheikh Ahmed , Mahdi Mostajabdaveh , Zirui Zhou

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

Large Language Models (LLMs) are emerging as promising tools for automated reinforcement learning (RL) reward design, owing to their robust capabilities in commonsense reasoning and code generation. By engaging in dialogues with RL agents,…

Artificial Intelligence · Computer Science 2025-04-14 Zen Kit Heng , Zimeng Zhao , Tianhao Wu , Yuanfei Wang , Mingdong Wu , Yangang Wang , Hao Dong

Reinforcement Learning (RL) suffers from sample inefficiency in sparse reward domains, and the problem is further pronounced in case of stochastic transitions. To improve the sample efficiency, reward shaping is a well-studied approach to…

Machine Learning · Computer Science 2024-10-10 Siddhant Bhambri , Amrita Bhattacharjee , Durgesh Kalwar , Lin Guan , Huan Liu , Subbarao Kambhampati
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