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To advance capabilities of large language models (LLMs) in solving combinatorial optimization problems (COPs), this paper presents the Language-based Neural COP Solver (LNCS), a novel framework that is unified for the end-to-end resolution…

Artificial Intelligence · Computer Science 2024-12-17 Xia Jiang , Yaoxin Wu , Yuan Wang , Yingqian Zhang

Graph neural networks (GNNs) have emerged as a powerful tool for solving combinatorial optimization problems (COPs), exhibiting state-of-the-art performance in both graph-structured and non-graph-structured domains. However, existing…

Artificial Intelligence · Computer Science 2024-06-21 Yaochu Jin , Xueming Yan , Shiqing Liu , Xiangyu Wang

Combinatorial optimization (CO) problems, central to operation research and theoretical computer science, present significant computational challenges due to their NP-hard nature. While large language models (LLMs) have emerged as promising…

Machine Learning · Computer Science 2025-06-16 Xijun Li , Jiexiang Yang , Jinghao Wang , Bo Peng , Jianguo Yao , Haibing Guan

Graph-structured combinatorial challenges are inherently difficult due to their nonlinear and intricate nature, often rendering traditional computational methods ineffective or expensive. However, these challenges can be more naturally…

Artificial Intelligence · Computer Science 2025-01-22 Jie Zhao , Kang Hao Cheong , Witold Pedrycz

Recently, large language models (LLMs) have been widely researched in the field of graph machine learning due to their outstanding abilities in language comprehension and learning. However, the significant gap between natural language tasks…

Artificial Intelligence · Computer Science 2024-06-21 Zhong Guan , Hongke Zhao , Likang Wu , Ming He , Jianpin Fan

Combinatorial optimization problems (COPs) on the graph with real-life applications are canonical challenges in Computer Science. The difficulty of finding quality labels for problem instances holds back leveraging supervised learning…

Machine Learning · Computer Science 2021-08-10 Mostafa Pashazadeh , Kui Wu

Large Language Models (LLMs) have achieved impressive results in processing text data, which has sparked interest in applying these models beyond textual data, such as graphs. In the field of graph learning, there is a growing interest in…

Artificial Intelligence · Computer Science 2024-10-10 Sheng Ouyang , Yulan Hu , Ge Chen , Yong Liu

Graphs are an essential data structure utilized to represent relationships in real-world scenarios. Prior research has established that Graph Neural Networks (GNNs) deliver impressive outcomes in graph-centric tasks, such as link prediction…

Machine Learning · Computer Science 2024-09-12 Xubin Ren , Jiabin Tang , Dawei Yin , Nitesh Chawla , Chao Huang

Optimization problems are prevalent across various scenarios. Formulating and then solving optimization problems described by natural language often requires highly specialized human expertise, which could block the widespread application…

Artificial Intelligence · Computer Science 2025-03-04 Caigao Jiang , Xiang Shu , Hong Qian , Xingyu Lu , Jun Zhou , Aimin Zhou , Yang Yu

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

Enabling large language models (LLMs) to effectively process and reason with graph-structured data remains a significant challenge despite their remarkable success in natural language tasks. Current approaches either convert graph…

Artificial Intelligence · Computer Science 2025-09-03 Yanbiao Ji , Chang Liu , Xin Chen , Dan Luo , Mei Li , Yue Ding , Wenqing Lin , Hongtao Lu

Leveraging Graph Neural Networks (GNNs) as graph encoders and aligning the resulting representations with Large Language Models (LLMs) through alignment instruction tuning has become a mainstream paradigm for constructing Graph Language…

Machine Learning · Computer Science 2026-05-13 Haibo Chen , Xin Wang , Jiaheng Chao , Ling Feng , Wenwu Zhu

Large language models (LLMs) such as GPT-4 have emerged as frontrunners, showcasing unparalleled prowess in diverse applications, including answering queries, code generation, and more. Parallelly, graph-structured data, an intrinsic data…

Artificial Intelligence · Computer Science 2023-11-14 Shirui Pan , Yizhen Zheng , Yixin Liu

Combinatorial optimization (CO) is essential for improving efficiency and performance in engineering applications. As complexity increases with larger problem sizes and more intricate dependencies, identifying the optimal solution become…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Shuo Jiang , Min Xie , Jianxi Luo

Large language models (LLMs) have greatly improved their capability in performing NLP tasks. However, deeper semantic understanding, contextual coherence, and more subtle reasoning are still difficult to obtain. The paper discusses…

Computation and Language · Computer Science 2025-12-05 Mohanakrishnan Hariharan

A graph is a fundamental data model to represent various entities and their complex relationships in society and nature, such as social networks, transportation networks, and financial networks. Recently, large language models (LLMs) have…

Computation and Language · Computer Science 2025-07-08 Wenbo Shang , Xin Huang

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

Large Language Models (LLMs) have demonstrated remarkable capabilities in modeling sequential textual data and generalizing across diverse tasks. However, adapting LLMs to effectively handle structural data, such as knowledge graphs or web…

Computation and Language · Computer Science 2025-11-12 Jiarui Feng , Donghong Cai , Yixin Chen , Muhan Zhang

The advancement of Large Language Models (LLMs) has remarkably pushed the boundaries towards artificial general intelligence (AGI), with their exceptional ability on understanding diverse types of information, including but not limited to…

Computation and Language · Computer Science 2023-10-10 Ziwei Chai , Tianjie Zhang , Liang Wu , Kaiqiao Han , Xiaohai Hu , Xuanwen Huang , Yang Yang

Graph-structured data is prevalent in the real world. Recently, due to the powerful emergent capabilities, Large Language Models (LLMs) have shown promising performance in modeling graphs. The key to effectively applying LLMs on graphs is…

Computation and Language · Computer Science 2024-10-16 Haitong Luo , Xuying Meng , Suhang Wang , Tianxiang Zhao , Fali Wang , Hanyun Cao , Yujun Zhang
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