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Graph Neural Network (GNN) is a powerful model to learn representations and make predictions on graph data. Existing efforts on GNN have largely defined the graph convolution as a weighted sum of the features of the connected nodes to form…

Machine Learning · Computer Science 2020-06-02 Hongmin Zhu , Fuli Feng , Xiangnan He , Xiang Wang , Yan Li , Kai Zheng , Yongdong Zhang

Boolean satisfiability problem (SAT) is fundamental to many applications. Existing works have used graph neural networks (GNNs) for (approximate) SAT solving. Typical GNN-based end-to-end SAT solvers predict SAT solutions concurrently. We…

Artificial Intelligence · Computer Science 2023-04-19 Zhiyuan Yan , Min Li , Zhengyuan Shi , Wenjie Zhang , Yingcong Chen , Hongce Zhang

In this work we design graph neural network architectures that capture optimal approximation algorithms for a large class of combinatorial optimization problems, using powerful algorithmic tools from semidefinite programming (SDP).…

Machine Learning · Computer Science 2024-10-08 Morris Yau , Nikolaos Karalias , Eric Lu , Jessica Xu , Stefanie Jegelka

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…

In recent years, graph neural networks (GNNs) have been widely adopted in the representation learning of graph-structured data and provided state-of-the-art performance in various applications such as link prediction, node classification,…

Machine Learning · Computer Science 2021-04-14 Dasol Hwang , Jinyoung Park , Sunyoung Kwon , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

Graph Neural Networks (GNNs) leverage the graph structure to transmit information between nodes, typically through the message-passing mechanism. While these models have found a wide variety of applications, they are known to suffer from…

Machine Learning · Computer Science 2025-10-23 Hugh Blayney , Álvaro Arroyo , Xiaowen Dong , Michael M. Bronstein

In this paper, we study semi-supervised graph classification, which aims at accurately predicting the categories of graphs in scenarios with limited labeled graphs and abundant unlabeled graphs. Despite the promising capability of graph…

Machine Learning · Computer Science 2024-05-29 Wei Ju , Zhengyang Mao , Siyu Yi , Yifang Qin , Yiyang Gu , Zhiping Xiao , Yifan Wang , Xiao Luo , Ming Zhang

Benefiting from the message passing mechanism, Graph Neural Networks (GNNs) have been successful on flourish tasks over graph data. However, recent studies have shown that attackers can catastrophically degrade the performance of GNNs by…

Machine Learning · Computer Science 2023-04-24 Kuan Li , Yang Liu , Xiang Ao , Jianfeng Chi , Jinghua Feng , Hao Yang , Qing He

Hypergraph offers a framework to depict the multilateral relationships in real-world complex data. Predicting higher-order relationships, i.e hyperedge, becomes a fundamental problem for the full understanding of complicated interactions.…

Social and Information Networks · Computer Science 2021-06-15 Changlin Wan , Muhan Zhang , Wei Hao , Sha Cao , Pan Li , Chi Zhang

Graph neural networks (GNNs) have achieved strong performance across various real-world domains. Nevertheless, they suffer from oversquashing, where long-range information is distorted as it is compressed through limited message-passing…

Machine Learning · Computer Science 2026-04-03 Tanvir Hossain , Muhammad Ifte Khairul Islam , Lilia Chebbah , Charles Fanning , Esra Akbas

Existing deep learning approaches for image super-resolution, particularly those based on CNNs and attention mechanisms, often suffer from structural inflexibility. Although graph-based methods offer greater representational adaptability,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Qiongyang Hu , Wenyang Liu , Wenbin Zou , Yuejiao Su , Lap-Pui Chau , Yi Wang

Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields. Recently, solving CO problems on graphs through learning methods has attracted great attention.…

Artificial Intelligence · Computer Science 2023-12-20 Ruibin Zeng , Minglong Lei , Lingfeng Niu , Lan Cheng

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

Machine Learning · Computer Science 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

The Boolean Satisfiability (SAT) problem stands out as an attractive NP-complete problem in theoretic computer science and plays a central role in a broad spectrum of computing-related applications. Exploiting and tuning SAT solvers under…

Machine Learning · Computer Science 2024-09-25 Weihuang Wen , Tianshu Yu

Subgraph representation learning based on Graph Neural Network (GNN) has exhibited broad applications in scientific advancements, such as predictions of molecular structure-property relationships and collective cellular function. In…

Machine Learning · Computer Science 2022-10-17 Yili Shen , Xiao Liu , Cheng-Wei Ju , Jiaxu Yan , Jun Yi , Zhou Lin , Hui Guan

While Graph Neural Networks (GNNs) recently became powerful tools in graph learning tasks, considerable efforts have been spent on improving GNNs' structural encoding ability. A particular line of work proposed subgraph GNNs that use…

Machine Learning · Computer Science 2023-10-31 Lecheng Kong , Jiarui Feng , Hao Liu , Dacheng Tao , Yixin Chen , Muhan Zhang

Graph neural networks have been widely used in Boolean satisfiability (SAT) tasks to learn structural information from SAT formulas. The goal of these studies is to solve SAT instances or to enhance SAT solvers, including tasks such as…

Machine Learning · Computer Science 2026-05-07 Zhenchao Sun , Shuai Ma , Ping Lu , Chongyang Tao

Graph Attention Networks (GATs) have been intensively studied and widely used in graph data learning tasks. Existing GATs generally adopt the self-attention mechanism to conduct graph edge attention learning, requiring expensive…

Neural and Evolutionary Computing · Computer Science 2022-09-28 Beibei Wang , Bo Jiang

In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinatorial optimization problems. It describes how the network is…

Disordered Systems and Neural Networks · Physics 2023-01-03 Stefan Boettcher

Interpretable graph learning is in need as many scientific applications depend on learning models to collect insights from graph-structured data. Previous works mostly focused on using post-hoc approaches to interpret pre-trained models…

Machine Learning · Computer Science 2022-06-20 Siqi Miao , Miaoyuan Liu , Pan Li