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Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graph kernels are historically the most widely-used technique for graph classification tasks. However, these methods suffer from limited performance because of the hand-crafted combinatorial features of graphs. In recent years, graph neural…

Machine Learning · Computer Science 2022-02-28 Aosong Feng , Chenyu You , Shiqiang Wang , Leandros Tassiulas

Distinguishing the automorphic equivalence of nodes in a graph plays an essential role in many scientific domains, e.g., computational biologist and social network analysis. However, existing graph neural networks (GNNs) fail to capture…

Machine Learning · Computer Science 2021-11-10 Fengli Xu , Quanming Yao , Pan Hui , Yong Li

Recently, many works studied the expressive power of graph neural networks (GNNs) by linking it to the $1$-dimensional Weisfeiler--Leman algorithm ($1\text{-}\mathsf{WL}$). Here, the $1\text{-}\mathsf{WL}$ is a well-studied heuristic for…

Machine Learning · Computer Science 2023-05-31 Christopher Morris , Floris Geerts , Jan Tönshoff , Martin Grohe

In recent studies, neural message passing has proved to be an effective way to design graph neural networks (GNNs), which have achieved state-of-the-art performance in many graph-based tasks. However, current neural-message passing…

Machine Learning · Computer Science 2021-04-21 Wentao Zhang , Yu Shen , Zheyu Lin , Yang Li , Xiaosen Li , Wen Ouyang , Yangyu Tao , Zhi Yang , Bin Cui

We focus on graph classification using a graph neural network (GNN) model that precomputes the node features using a bank of neighborhood aggregation graph operators arranged in parallel. These GNN models have a natural advantage of reduced…

Machine Learning · Computer Science 2022-11-23 Siddhant Doshi , Sundeep Prabhakar Chepuri

As a classical approach on graph learning, the propagation-aggregation methodology is widely exploited by many of Graph Neural Networks (GNNs), wherein the representation of a node is updated by aggregating representations from itself and…

Machine Learning · Computer Science 2025-12-08 Xiao Yue , Bo Liu , Feng Zhang , Guangzhi Qu

Message-passing neural networks (MPNNs) are the leading architecture for deep learning on graph-structured data, in large part due to their simplicity and scalability. Unfortunately, it was shown that these architectures are limited in…

Graph neural networks (GNNs) are deep learning architectures for machine learning problems on graphs. It has recently been shown that the expressiveness of GNNs can be characterised precisely by the combinatorial Weisfeiler-Leman algorithms…

Machine Learning · Computer Science 2022-01-11 Martin Grohe

We study the approximation power of Graph Neural Networks (GNNs) on latent position random graphs. In the large graph limit, GNNs are known to converge to certain "continuous" models known as c-GNNs, which directly enables a study of their…

Machine Learning · Statistics 2021-06-01 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

The expressive power of Graph Neural Networks (GNNs) is often analysed via correspondence to the Weisfeiler-Leman (WL) algorithm and fragments of first-order logic. Standard GNNs are limited to performing aggregation over immediate…

Machine Learning · Computer Science 2026-02-23 Huan Luo , Jonni Virtema

Graph neural networks (GNNs) are powerful tools for handling graph-structured data. However, their design often limits them to learning only higher-order feature interactions, leaving low-order feature interactions overlooked. To address…

Machine Learning · Computer Science 2024-06-14 Minkyu Kim , Hyun-Soo Choi , Jinho Kim

Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

Machine Learning · Computer Science 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

The pairwise interaction paradigm of graph machine learning has predominantly governed the modelling of relational systems. However, graphs alone cannot capture the multi-level interactions present in many complex systems and the expressive…

Machine Learning · Computer Science 2021-06-15 Cristian Bodnar , Fabrizio Frasca , Yu Guang Wang , Nina Otter , Guido Montúfar , Pietro Liò , Michael Bronstein

Graph neural networks (GNNs) have achieved great success in many scenarios with graph-structured data. However, in many real applications, there are three issues when applying GNNs: graphs are unknown, nodes have noisy features, and graphs…

Machine Learning · Computer Science 2022-10-11 Yixiang Shan , Jielong Yang , Xing Liu , Yixing Gao , Hechang Chen , Shuzhi Sam Ge

With the ubiquitous graph-structured data in various applications, models that can learn compact but expressive vector representations of nodes have become highly desirable. Recently, bearing the message passing paradigm, graph neural…

Social and Information Networks · Computer Science 2021-04-13 Tong Chen , Hongzhi Yin , Jie Ren , Zi Huang , Xiangliang Zhang , Hao Wang

Graph-based recommendation has achieved great success in recent years. The classical graph recommendation model utilizes ID embedding to store essential collaborative information. However, this ID-based paradigm faces challenges in…

Information Retrieval · Computer Science 2026-05-12 Yiwen Chen , Yiqing Wu , Huishi Luo , Fuzhen Zhuang , Deqing Wang , Zhao Zhang

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Graph Neural Networks (GNNs) often assume strong homophily for graph classification, seldom considering heterophily, which means connected nodes tend to have different class labels and dissimilar features. In real-world scenarios, graphs…

Machine Learning · Computer Science 2024-05-10 Jiayi Yang , Sourav Medya , Wei Ye

Message-passing Graph Neural Networks (GNNs) are often criticized for their limited expressiveness, issues like over-smoothing and over-squashing, and challenges in capturing long-range dependencies. Conversely, Graph Transformers (GTs) are…

Machine Learning · Computer Science 2025-11-04 Yuankai Luo , Lei Shi , Xiao-Ming Wu
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