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This paper addresses two limitations of large language models (LLMs) in solving complex problems: (1) their reasoning processes exhibit Bayesian-like stochastic generation, where each token is sampled from a context-dependent probability…

Artificial Intelligence · Computer Science 2026-04-20 Lei Lin , Jizhao Zhu , Yong Liu , Donghong Sun , Hongbo He , Yihua Du

Heuristics have achieved great success in solving combinatorial optimization problems~(COPs). However, heuristics designed by humans require too much domain knowledge and testing time. Since Large Language Models~(LLMs) possess strong…

Artificial Intelligence · Computer Science 2025-06-23 Hui Wang , Xufeng Zhang , Chaoxu Mu

Heuristic functions are essential to the performance of tree search algorithms such as A*, where their accuracy and efficiency directly impact search outcomes. Traditionally, such heuristics are handcrafted, requiring significant expertise.…

Artificial Intelligence · Computer Science 2026-01-28 Thomas Bömer , Nico Koltermann , Max Disselnmeyer , Bastian Amberg , Anne Meyer

Combinatorial optimization problems arise in a wide range of applications from diverse domains. Many of these problems are NP-hard and designing efficient heuristics for them requires considerable time and experimentation. On the other…

Data Structures and Algorithms · Computer Science 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani

This paper presents AutoHint, a novel framework for automatic prompt engineering and optimization for Large Language Models (LLM). While LLMs have demonstrated remarkable ability in achieving high-quality annotation in various tasks, the…

Computation and Language · Computer Science 2023-08-10 Hong Sun , Xue Li , Yinchuan Xu , Youkow Homma , Qi Cao , Min Wu , Jian Jiao , Denis Charles

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

Instruction-based language modeling has received significant attention in pretrained language models. However, the efficiency of instruction engineering remains low and hinders the development of instruction studies. Recent studies have…

Computation and Language · Computer Science 2023-10-27 Heng Yang , Ke Li

The resource constrained project scheduling problem (RCPSP) is an NP-Hard combinatorial optimization problem. The objective of RCPSP is to schedule a set of activities without violating any activity precedence or resource constraints. In…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Shelvin Chand , Kousik Rajesh , Rohitash Chandra

Training Long-Context Large Language Models (LLMs) is challenging, as hybrid training with long-context and short-context data often leads to workload imbalances. Existing works mainly use data packing to alleviate this issue, but fail to…

Machine Learning · Computer Science 2025-10-14 Yongqiang Yao , Jingru Tan , Kaihuan Liang , Feizhao Zhang , Jiahao Hu , Shuo Wu , Yazhe Niu , Ruihao Gong , Dahua Lin , Ningyi Xu

Designing heuristics for combinatorial optimization problems (COPs) is a fundamental yet challenging task that traditionally requires extensive domain expertise. Recently, Large Language Model (LLM)-based Automated Heuristic Design (AHD)…

Artificial Intelligence · Computer Science 2026-04-28 Bin Chen , Shouliang Zhu , Beidan Liu , Yong Zhao , Tianle Pu , Huichun Li , Zhengqiu Zhu

Real-life problems are often characterized by conflicting optimization objectives. Consequently, there has been a growing interest not only in multi-objective models, but also in specialized multi-objective metaheuristics for solving those…

Optimization and Control · Mathematics 2017-05-30 Piotr Matl , Richard F. Hartl , Thibaut Vidal

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

Recently, neural heuristics based on deep reinforcement learning have exhibited promise in solving multi-objective combinatorial optimization problems (MOCOPs). However, they are still struggling to achieve high learning efficiency and…

Machine Learning · Computer Science 2023-10-25 Jinbiao Chen , Jiahai Wang , Zizhen Zhang , Zhiguang Cao , Te Ye , Siyuan Chen

While research in robust optimization has attracted considerable interest over the last decades, its algorithmic development has been hindered by several factors. One of them is a missing set of benchmark instances that make algorithm…

Optimization and Control · Mathematics 2019-02-11 Marc Goerigk , Stephen J. Maher

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

Domain-specific heuristics are a crucial technique for the efficient solving of problems that are large or computationally hard. Answer Set Programming (ASP) systems support declarative specifications of domain-specific heuristics to…

Artificial Intelligence · Computer Science 2023-08-31 Richard Comploi-Taupe

Column generation (CG) is a vital method to solve large-scale problems by dynamically generating variables. It has extensive applications in common combinatorial optimization, such as vehicle routing and scheduling problems, where each…

Machine Learning · Computer Science 2023-10-17 Kuan Xu , Li Shen , Lindong Liu

Due to its direct relevance to post-disaster operations, meter reading and civil refuse collection, the Uncertain Capacitated Arc Routing Problem (UCARP) is an important optimisation problem. Stochastic models are critical to study as they…

Neural and Evolutionary Computing · Computer Science 2019-11-21 Jordan MacLachlan , Yi Mei , Juergen Branke , Mengjie Zhang

We develop algorithms capable of tackling robust black-box optimisation problems, where the number of model runs is limited. When a desired solution cannot be implemented exactly the aim is to find a robust one, where the worst case in an…

Optimization and Control · Mathematics 2020-04-17 Martin Hughes , Marc Goerigk , Trivikram Dokka

Reinforcement Learning from Human Feedback (RLHF) is an important fine-tuning technique for large language models (LLMs) and comprises three stages: generation, inference, and training. The generation stage generates samples that are then…

Machine Learning · Computer Science 2025-12-15 Siqi Wang , Hailong Yang , Junjie Zhu , Xuezhu Wang , Yufan Xu , Depei Qian