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Combinatorial optimization problem (COP) over graphs is a fundamental challenge in optimization. Reinforcement learning (RL) has recently emerged as a new framework to tackle these problems and has demonstrated promising results. However,…

Machine Learning · Computer Science 2022-09-05 Fan Yao , Renqin Cai , Hongning Wang

Graph neural networks (GNNs) have achieved great success for a variety of tasks such as node classification, graph classification, and link prediction. However, the use of GNNs (and machine learning more generally) to solve combinatorial…

Machine Learning · Computer Science 2024-11-26 Frederik Wenkel , Semih Cantürk , Stefan Horoi , Michael Perlmutter , Guy Wolf

In recent years, graph neural networks (GNNs) have become increasingly popular for solving NP-hard combinatorial optimization (CO) problems, such as maximum cut and maximum independent set. The core idea behind these methods is to represent…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Peng Zhang , Yang Gao , Chuan Zhou , Zhao Li , Hongyang Chen

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

Graph Neural Networks (GNNs) have shown impressive performance in graph representation learning, but they face challenges in capturing long-range dependencies due to their limited expressive power. To address this, Graph Transformers (GTs)…

Machine Learning · Computer Science 2024-06-19 Kaan Sancak , Zhigang Hua , Jin Fang , Yan Xie , Andrey Malevich , Bo Long , Muhammed Fatih Balin , Ümit V. Çatalyürek

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

Graph Neural Networks (GNNs) have emerged as the state-of-the-art (SOTA) method for graph-based learning tasks. However, it still remains prohibitively challenging to inference GNNs over large graph datasets, limiting their application to…

Hardware Architecture · Computer Science 2021-09-21 Yongan Zhang , Haoran You , Yonggan Fu , Tong Geng , Ang Li , Yingyan Lin

Graph-structured data is ubiquitous throughout natural and social sciences, and Graph Neural Networks (GNNs) have recently been shown to be effective at solving prediction and inference problems on graph data. In this paper, we propose and…

Machine Learning · Computer Science 2024-01-12 Victoria M. Dax , Jiachen Li , Kevin Leahy , Mykel J. Kochenderfer

The ability to plan into the future while utilizing only raw high-dimensional observations, such as images, can provide autonomous agents with broad capabilities. Visual model-based reinforcement learning (RL) methods that plan future…

Machine Learning · Computer Science 2021-08-10 Oleh Rybkin , Chuning Zhu , Anusha Nagabandi , Kostas Daniilidis , Igor Mordatch , Sergey Levine

A key challenge in deriving unified neural solvers for combinatorial optimization (CO) is efficient generalization of models between a given set of tasks to new tasks not used during the initial training process. To address it, we first…

Machine Learning · Computer Science 2026-03-04 Semih Cantürk , Thomas Sabourin , Frederik Wenkel , Michael Perlmutter , Guy Wolf

Deep reinforcement learning (DRL) has been widely used for dynamic algorithm configuration, particularly in evolutionary computation, which benefits from the adaptive update of parameters during the algorithmic execution. However, applying…

Neural and Evolutionary Computing · Computer Science 2025-05-27 Robbert Reijnen , Yaoxin Wu , Zaharah Bukhsh , Yingqian Zhang

From logistics to the natural sciences, combinatorial optimisation on graphs underpins numerous real-world applications. Reinforcement learning (RL) has shown particular promise in this setting as it can adapt to specific problem structures…

Machine Learning · Computer Science 2022-05-30 Thomas D. Barrett , Christopher W. F. Parsonson , Alexandre Laterre

Neural Combinatorial Optimization (NCO) has emerged as a promising learning-based paradigm for addressing Vehicle Routing Problems (VRPs) by minimizing the need for extensive manual engineering. While existing NCO methods, trained on…

Machine Learning · Computer Science 2025-11-24 Yuanyao Chen , Rongsheng Chen , Fu Luo , Zhenkun Wang

Generative Adversarial Networks (GANs) have achieved remarkable results in the task of generating realistic natural images. In most successful applications, GAN models share two common aspects: solving a challenging saddle point…

Machine Learning · Statistics 2019-05-21 Piotr Bojanowski , Armand Joulin , David Lopez-Paz , Arthur Szlam

While reinforcement learning methods have delivered remarkable results in a number of settings, generalization, i.e., the ability to produce policies that generalize in a reliable and systematic way, has remained a challenge. The problem of…

Artificial Intelligence · Computer Science 2025-12-23 Simon Ståhlberg , Blai Bonet , Hector Geffner

Combinatorial optimization problems involving multiple agents are notoriously challenging due to their NP-hard nature and the necessity for effective agent coordination. Despite advancements in learning-based methods, existing approaches…

Multiagent Systems · Computer Science 2025-10-23 Federico Berto , Chuanbo Hua , Laurin Luttmann , Jiwoo Son , Junyoung Park , Kyuree Ahn , Changhyun Kwon , Lin Xie , Jinkyoo Park

Combinatorial optimization is a well-established area in operations research and computer science. Until recently, its methods have focused on solving problem instances in isolation, ignoring that they often stem from related data…

Machine Learning · Computer Science 2023-09-06 Quentin Cappart , Didier Chételat , Elias Khalil , Andrea Lodi , Christopher Morris , Petar Veličković

Optimising deep neural networks is a challenging task due to complex training dynamics, high computational requirements, and long training times. To address this difficulty, we propose the framework of Generalisable Agents for Neural…

Neural combinatorial optimization (NCO) solvers, implemented with graph neural networks (GNNs), have introduced new approaches for solving routing problems. Trained with reinforcement learning (RL), the state-of-the-art graph attention…

Machine Learning · Computer Science 2026-01-30 Licheng Wang , Yuzi Yan , Mingtao Huang , Yuan Shen
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