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Message passing neural networks (MPNNs) have become a dominant flavor of graph neural networks (GNNs) in recent years. Yet, MPNNs come with notable limitations; namely, they are at most as powerful as the 1-dimensional Weisfeiler-Leman…

Machine Learning · Computer Science 2022-11-04 Lingxiao Zhao , Louis Härtel , Neil Shah , Leman Akoglu

Numerous recent works have analyzed the expressive power of message-passing graph neural networks (MPNNs), primarily utilizing combinatorial techniques such as the $1$-dimensional Weisfeiler-Leman test ($1$-WL) for the graph isomorphism…

Machine Learning · Computer Science 2023-11-03 Jan Böker , Ron Levie , Ningyuan Huang , Soledad Villar , Christopher Morris

Graph Neural Networks (GNNs) have demonstrated superior performance on various graph learning tasks, including recommendation, where they leverage user-item collaborative filtering signals in graphs. However, theoretical formulations of…

Information Retrieval · Computer Science 2023-09-19 Xuheng Cai , Lianghao Xia , Xubin Ren , Chao Huang

Hypergraph, an expressive structure with flexibility to model the higher-order correlations among entities, has recently attracted increasing attention from various research domains. Despite the success of Graph Neural Networks (GNNs) for…

Machine Learning · Computer Science 2021-05-04 Jing Huang , Jie Yang

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

Despite the recent success of graph neural networks (GNN), common architectures often exhibit significant limitations, including sensitivity to oversmoothing, long-range dependencies, and spurious edges, e.g., as can occur as a result of…

Machine Learning · Computer Science 2021-12-06 Yongyi Yang , Tang Liu , Yangkun Wang , Jinjing Zhou , Quan Gan , Zhewei Wei , Zheng Zhang , Zengfeng Huang , David Wipf

We propose a Graph Neural Network with greater expressive power than commonly used GNNs - not constrained to only differentiate between graphs that Weisfeiler-Lehman test recognizes to be non-isomorphic. We use a graph attention network…

Machine Learning · Computer Science 2020-04-14 Stanisław Purgał

Graph neural networks (GNNs) can effectively model structural information of graphs, making them widely used in knowledge graph (KG) reasoning. However, existing studies on the expressive power of GNNs mainly focuses on simple…

Artificial Intelligence · Computer Science 2026-02-02 Han Yu , Xiaojuan Zhao , Aiping Li , Kai Chen , Ziniu Liu , Zhichao Peng

Graph Neural Networks (GNNs) achieve state-of-the-art performance in various graph-related tasks. However, the black-box nature often limits their interpretability and trustworthiness. Numerous explainability methods have been proposed to…

Machine Learning · Computer Science 2023-11-13 Jialin Chen , Kenza Amara , Junchi Yu , Rex Ying

Graph Neural Networks (GNNs) have emerged as a dominant paradigm for graph classification. Specifically, most existing GNNs mainly rely on the message passing strategy between neighbor nodes, where the expressivity is limited by the…

Machine Learning · Computer Science 2025-12-12 Lin Du , Lu Bai , Jincheng Li , Lixin Cui , Hangyuan Du , Lichi Zhang , Yuting Chen , Zhao Li

A graph neural network (GNN) is a good choice for predicting the chemical properties of molecules. Compared with other deep networks, however, the current performance of a GNN is limited owing to the "curse of depth." Inspired by…

Machine Learning · Computer Science 2020-08-19 Katsuhiko Ishiguro , Kenta Oono , Kohei Hayashi

Graph-structured data consisting of objects (i.e., nodes) and relationships among objects (i.e., edges) are ubiquitous. Graph-level learning is a matter of studying a collection of graphs instead of a single graph. Traditional graph-level…

Machine Learning · Computer Science 2022-06-01 Ge Zhang , Jia Wu , Jian Yang , Shan Xue , Wenbin Hu , Chuan Zhou , Hao Peng , Quan Z. Sheng , Charu Aggarwal

Graph neural networks (GNNs) are effective machine learning models for various graph learning problems. Despite their empirical successes, the theoretical limitations of GNNs have been revealed recently. Consequently, many GNN models have…

Machine Learning · Computer Science 2020-10-19 Ryoma Sato

Graph Neural Networks (GNNs) have emerged as a powerful tool for data-driven learning on various graph domains. They are usually based on a message-passing mechanism and have gained increasing popularity for their intuitive formulation,…

Machine Learning · Computer Science 2023-11-02 Giuseppe Alessio D'Inverno , Simone Brugiapaglia , Mirco Ravanelli

State-of-the-art Graph Neural Networks (GNNs) have limited scalability with respect to the graph and model sizes. On large graphs, increasing the model depth often means exponential expansion of the scope (i.e., receptive field). Beyond…

Graph neural networks (GNNs) have become the \textit{de facto} standard for representational learning in graphs, and have achieved state-of-the-art performance in many graph-related tasks; however, it has been shown that the expressive…

Machine Learning · Computer Science 2024-06-28 Tianjun Yao , Yiongxu Wang , Kun Zhang , Shangsong Liang

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Graph Neural Networks (GNNs) excel in handling graph-structured data but often underperform in link prediction tasks compared to classical methods, mainly due to the limitations of the commonly used message-passing principle. Notably, their…

Machine Learning · Computer Science 2025-02-18 Niloofar Azizi , Nils Kriege , Horst Bischof

Graph Neural Networks (GNNs) are learning models aimed at processing graphs and signals on graphs. The most popular and successful GNNs are based on message passing schemes. Such schemes inherently have limited expressive power when it…

Machine Learning · Computer Science 2022-06-24 Jacob Bamberger

We consider graph representation learning in a self-supervised manner. Graph neural networks (GNNs) use neighborhood aggregation as a core component that results in feature smoothing among nodes in proximity. While successful in various…

Machine Learning · Computer Science 2021-07-20 Wei Zhuo , Guang Tan