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We consider enhancing large language models (LLMs) for complex planning tasks. While existing methods allow LLMs to explore intermediate steps to make plans, they either depend on unreliable self-verification or external verifiers to…

Artificial Intelligence · Computer Science 2025-02-27 Hongyi Ling , Shubham Parashar , Sambhav Khurana , Blake Olson , Anwesha Basu , Gaurangi Sinha , Zhengzhong Tu , James Caverlee , Shuiwang Ji

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

Large Language Models (LLMs) have enabled automated heuristic design (AHD) for combinatorial optimization problems (COPs), but existing frameworks' reliance on fixed evolutionary rules and static prompt templates often leads to myopic…

Artificial Intelligence · Computer Science 2026-05-26 Oguzhan Gungordu , Siheng Xiong , Faramarz Fekri

Automatic Heuristic Design (AHD) is an active research area due to its utility in solving complex search and NP-hard combinatorial optimization problems in the real world. The recent advancements in Large Language Models (LLMs) introduce…

Neural and Evolutionary Computing · Computer Science 2024-12-20 Pham Vu Tuan Dat , Long Doan , Huynh Thi Thanh Binh

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

Combinatorial optimization is widely applied in a number of areas nowadays. Unfortunately, many combinatorial optimization problems are NP-hard which usually means that they are unsolvable in practice. However, it is often unnecessary to…

Data Structures and Algorithms · Computer Science 2012-07-10 Daniel Karapetyan

Recent studies exploited Large Language Models (LLMs) to autonomously generate heuristics for solving Combinatorial Optimization Problems (COPs), by prompting LLMs to first provide search directions and then derive heuristics accordingly.…

Neural and Evolutionary Computing · Computer Science 2025-06-12 Xuan Wu , Di Wang , Chunguo Wu , Lijie Wen , Chunyan Miao , Yubin Xiao , You Zhou

In complex engineering systems, the dependencies among components or development activities are often modeled and analyzed using Design Structure Matrix (DSM). Reorganizing elements within a DSM to minimize feedback loops and enhance…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Shuo Jiang , Min Xie , Jianxi Luo

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

Large Language Models (LLMs) have advanced Automated Heuristic Design (AHD) in combinatorial optimization (CO) in the past few years. However, existing discovery pipelines often require extensive manual trial-and-error or reliance on domain…

Neural and Evolutionary Computing · Computer Science 2026-02-19 Mingxin Yu , Ruixiao Yang , Chuchu Fan

Generating challenging instances is crucial for the evaluation and advancement of combinatorial optimization solvers. In this work, we introduce EALG (Evolutionary Adversarial Generation of Language Model-Guided Generators), a novel…

Artificial Intelligence · Computer Science 2025-06-04 Ruibo Duan , Yuxin Liu , Xinyao Dong , Chenglin Fan

Since the rise of Large Language Models (LLMs) a couple of years ago, researchers in metaheuristics (MHs) have wondered how to use their power in a beneficial way within their algorithms. This paper introduces a novel approach that…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum , Filippo Bistaffa , Guillem Rodríguez Corominas

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

Evolutionary algorithms (EAs) have achieved remarkable success in tackling complex combinatorial optimization problems. However, EAs often demand carefully-designed operators with the aid of domain expertise to achieve satisfactory…

Neural and Evolutionary Computing · Computer Science 2024-04-29 Shengcai Liu , Caishun Chen , Xinghua Qu , Ke Tang , Yew-Soon Ong

Over the last few decades, researchers have made considerable efforts to make decision support more accessible for small and medium enterprises by reducing the cost of designing, developing and maintaining automated decision support…

Software Engineering · Computer Science 2025-04-07 Daniel Karapetyan

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 integration of Large Language Models (LLMs) into optimization has created a powerful synergy, opening exciting research opportunities. This paper investigates how LLMs can enhance existing optimization algorithms. Using their…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum

Large language models (LLMs) have recently advanced automatic heuristic design (AHD) for combinatorial optimization (CO), where candidate heuristics are iteratively proposed, evaluated, and refined. Most existing approaches search over…

Artificial Intelligence · Computer Science 2026-05-08 Nguyen Viet Tuan Kiet , Bui Dinh Pham , Dao Van Tung , Tran Cong Dao , Huynh Thi Thanh Binh

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

Large Language Models (LLMs) with reasoning are trained to iteratively generate and refine their answers before finalizing them, which can help with applications to mathematics and code generation. We apply code generation with reasoning…

Artificial Intelligence · Computer Science 2025-06-02 Christopher D. Rosin