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The graph neural network (GNN) models have presented impressive achievements in numerous machine learning tasks. However, many existing GNN models are shown to be vulnerable to adversarial attacks, which creates a stringent need to build…

Machine Learning · Computer Science 2022-10-04 Zepeng Zhang , Songtao Lu , Zengfeng Huang , Ziping Zhao

Since the Message Passing (Graph) Neural Networks (MPNNs) have a linear complexity with respect to the number of nodes when applied to sparse graphs, they have been widely implemented and still raise a lot of interest even though their…

Machine Learning · Computer Science 2021-06-15 Muhammet Balcilar , Pierre Héroux , Benoit Gaüzère , Pascal Vasseur , Sébastien Adam , Paul Honeine

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Hypergraphs are crucial for modelling higher-order interactions in real-world data. Hypergraph neural networks (HNNs) effectively utilise these structures by message passing to generate informative node features for various downstream tasks…

Machine Learning · Computer Science 2025-03-12 Bohan Tang , Zexi Liu , Keyue Jiang , Siheng Chen , Xiaowen Dong

Graph neural networks (GNNs) have demonstrated superior performance for semi-supervised node classification on graphs, as a result of their ability to exploit node features and topological information simultaneously. However, most GNNs…

Machine Learning · Computer Science 2022-06-24 Guoji Fu , Peilin Zhao , Yatao Bian

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Message Passing Neural Networks (MPNNs) have emerged as the {\em de facto} standard in graph representation learning. However, when it comes to link prediction, they often struggle, surpassed by simple heuristics such as Common Neighbor…

Machine Learning · Computer Science 2024-10-15 Kaiwen Dong , Zhichun Guo , Nitesh V. Chawla

Recently, graph-based models designed for downstream tasks have significantly advanced research on graph neural networks (GNNs). GNN baselines based on neural message-passing mechanisms such as GCN and GAT perform worse as the network…

Machine Learning · Computer Science 2023-01-26 Jiayuan Chen , Xiang Zhang , Yinfei Xu , Tianli Zhao , Renjie Xie , Wei Xu

The expressive power of message-passing graph neural networks (MPNNs) is reasonably well understood, primarily through combinatorial techniques from graph isomorphism testing. However, MPNNs' generalization abilities -- making meaningful…

Machine Learning · Computer Science 2024-12-11 Antonis Vasileiou , Ben Finkelshtein , Floris Geerts , Ron Levie , Christopher Morris

Explaining graph neural networks (GNNs) has become more and more important recently. Higher-order interpretation schemes, such as GNN-LRP (layer-wise relevance propagation for GNN), emerged as powerful tools for unraveling how different…

Machine Learning · Computer Science 2026-05-22 Ping Xiong , Thomas Schnake , Grégoire Montavon , Klaus-Robert Müller , Shinichi Nakajima

State-of-the-art neural algorithmic reasoners make use of message passing in graph neural networks (GNNs). But typical GNNs blur the distinction between the definition and invocation of the message function, forcing a node to send messages…

Machine Learning · Computer Science 2024-01-15 Andrew Dudzik , Tamara von Glehn , Razvan Pascanu , Petar Veličković

This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

Machine Learning · Computer Science 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

Graph neural networks (GNNs) have been shown promising in improving the efficiency of learning communication policies by leveraging their permutation properties. Nonetheless, existing works design GNNs only for specific wireless policies,…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Shengjie Liu , Jia Guo , Chenyang Yang

Graph Neural Networks (GNNs) have emerged as powerful tools for learning representations from structured data. Despite their growing popularity and success across various applications, GNNs encounter several challenges that limit their…

Machine Learning · Computer Science 2026-02-03 Yassine Abbahaddou

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

Graph neural networks (GNNs) learn node representations by passing and aggregating messages between neighboring nodes. GNNs have been applied successfully in several application domains and achieved promising performance. However, GNNs…

Machine Learning · Computer Science 2021-12-14 Zeyu Zhang , Yulong Pei

Peridynamics is a non-local continuum mechanics theory that offers unique advantages for modeling problems involving discontinuities and complex deformations. Within the peridynamic framework, various formulations exist, among which the…

Computational Physics · Physics 2024-11-15 Xuan Hu , Qijun Chen , Nicholas H. Luo , Richy J. Zheng , Shaofan Li

Graph Neural Networks (GNNs) have shown great potential in the field of graph representation learning. Standard GNNs define a local message-passing mechanism which propagates information over the whole graph domain by stacking multiple…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Xiaoxin He , Bryan Hooi , Thomas Laurent , Adam Perold , Yann LeCun , Xavier Bresson

Effectively combining logic reasoning and probabilistic inference has been a long-standing goal of machine learning: the former has the ability to generalize with small training data, while the latter provides a principled framework for…

Machine Learning · Computer Science 2019-09-24 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun