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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

Constrained multi-objective optimization problems (CMOPs) frequently arise in real-world applications where multiple conflicting objectives must be optimized under complex constraints. Existing dual-population two-stage algorithms have…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhen-Song Chen , Hong-Wei Ding , Xian-Jia Wang , Witold Pedrycz

Large language models (LLMs) are increasingly deployed in real-world applications that require careful balancing of multiple, often conflicting, objectives, such as informativeness versus conciseness, or helpfulness versus creativity.…

Machine Learning · Computer Science 2025-08-12 Qiang He , Setareh Maghsudi

Heuristic design with large language models (LLMs) has emerged as a promising approach for tackling combinatorial optimization problems (COPs). However, existing approaches often rely on manually predefined evolutionary computation (EC)…

Machine Learning · Computer Science 2026-03-25 Yiding Shi , Jianan Zhou , Wen Song , Jieyi Bi , Yaoxin Wu , Zhiguang Cao , Jie Zhang

Multi-objective optimization is a common problem in practical applications, and multi-objective evolutionary algorithm (MOEA) is considered as one of the effective methods to solve these problems. However, their randomness sometimes…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Wanyi Liu , Long Chen , Zhenzhou Tang

Despite their widespread adoption in various domains, especially due to their powerful reasoning capabilities, Large Language Models (LLMs) are not the off-the-shelf choice to drive multi-objective optimization yet. Conventional strategies…

Machine Learning · Computer Science 2026-01-21 Andrej Schwanke , Lyubomir Ivanov , David Salinas , Frank Hutter , Arber Zela

Large Language Models (LLMs) based on Mixture-of-Experts (MoE) are pivotal in industrial applications for their ability to scale performance efficiently. However, standard MoEs enforce uniform expert sizes,creating a rigidity that fails to…

Computation and Language · Computer Science 2026-04-29 Zhicheng Ma , Xiang Liu , Zhaoxiang Liu , Ning Wang , Yi Shen , Kai Wang , Shuming Shi , Shiguo Lian

Designing high-performing metaheuristics for NP-hard combinatorial optimization problems, such as the Vehicle Routing Problem (VRP), remains a significant challenge, often requiring extensive domain expertise and manual tuning. Recent…

Neural and Evolutionary Computing · Computer Science 2026-04-10 Manuj Malik , Jianan Zhou , Shashank Reddy Chirra , Zhiguang Cao

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 have recently emerged as a promising paradigm for automated heuristic design for NP-hard combinatorial optimization problems. Despite this progress, existing LLM-based methods typically rely on monolithic workflows…

Artificial Intelligence · Computer Science 2026-05-11 Yuping Yan , Jirui Han , Fei Ming , Yuanshuai Li , Yaochu Jin

Multi-objective optimization problems (MOPs) are ubiquitous in real-world applications, presenting a complex challenge of balancing multiple conflicting objectives. Traditional evolutionary algorithms (EAs), though effective, often rely on…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Yuxiao Huang , Shenghao Wu , Wenjie Zhang , Jibin Wu , Liang Feng , Kay Chen Tan

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

Large Language Models (LLMs) have shown great potential in automatically generating and optimizing (meta)heuristics, making them valuable tools in heuristic optimization tasks. However, LLMs are generally inefficient when it comes to…

Neural and Evolutionary Computing · Computer Science 2025-05-23 Niki van Stein , Diederick Vermetten , Thomas Bäck

Multi-objective discrete optimization problems, such as molecular design, pose significant challenges due to their vast and unstructured combinatorial spaces. Traditional evolutionary algorithms often get trapped in local optima, while…

Machine Learning · Computer Science 2025-10-09 Nian Ran , Zhongzheng Li , Yue Wang , Qingsong Ran , Xiaoyuan Zhang , Shikun Feng , Richard Allmendinger , Xiaoguang Zhao

Multi-objective optimization is fundamental in complex decision-making tasks. Traditional algorithms, while effective, often demand extensive problem-specific modeling and struggle to adapt to nonlinear structures. Recent advances in Large…

Artificial Intelligence · Computer Science 2025-06-10 Diego Forniés-Tabuenca , Alejandro Uribe , Urtzi Otamendi , Arkaitz Artetxe , Juan Carlos Rivera , Oier Lopez de Lacalle

In this study, linear matrix inequality (LMI) approaches and multiobjective (MO) evolutionary algorithms are integrated to design controllers. An MO matrix inequality problem (MOMIP) is first defined. A hybrid MO differential evolution…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

Prompt engineering is crucial for unlocking the potential of Large Language Models (LLMs). Still, since manual prompt design is often complex, non-intuitive, and time-consuming, automatic prompt optimization has emerged as a research area.…

Computation and Language · Computer Science 2025-10-30 Sara Câmara , Eduardo Luz , Valéria Carvalho , Ivan Meneghini , Gladston Moreira

Momentum-Aided Prompt Optimization (MAPO) enhances the efficiency and efficacy of prompt optimization for Large Language Models (LLMs). Building on ProTeGi, MAPO uses positive natural language "gradients" and a momentum-based extension to…

Computation and Language · Computer Science 2025-06-30 Anthony Cui , Pranav Nandyalam , Andrew Rufail , Ethan Cheung , Aiden Lei , Kevin Zhu , Sean O'Brien

Combinatorial optimization problems are traditionally tackled with handcrafted heuristic algorithms, which demand extensive domain expertise and significant implementation effort. Recent progress has highlighted the potential of automatic…

Artificial Intelligence · Computer Science 2025-10-01 Yihong Liu , Junyi Li , Wayne Xin Zhao , Hongyu Lu , Ji-Rong Wen

Multi-objective alignment from human feedback (MOAHF) in large language models (LLMs) is a challenging problem as human preferences are complex, multifaceted, and often conflicting. Recent works on MOAHF considered a-priori multi-objective…

Machine Learning · Computer Science 2024-12-10 Subhojyoti Mukherjee , Anusha Lalitha , Sailik Sengupta , Aniket Deshmukh , Branislav Kveton
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