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Graph Neural Networks (GNNs) are proposed without considering the agnostic distribution shifts between training and testing graphs, inducing the degeneration of the generalization ability of GNNs on Out-Of-Distribution (OOD) settings. The…

Machine Learning · Computer Science 2024-03-12 Shaohua Fan , Xiao Wang , Chuan Shi , Peng Cui , Bai Wang

Graph neural networks (GNNs) are the most widely adopted model in graph-structured data oriented learning and representation. Despite their extraordinary success in real-world applications, understanding their working mechanism by theory is…

Machine Learning · Computer Science 2023-05-16 Huayi Tang , Yong Liu

Graph Neural Networks (GNNs) extend convolutional neural networks to operate on graphs. Despite their impressive performances in various graph learning tasks, the theoretical understanding of their generalization capability is still…

Machine Learning · Computer Science 2025-06-10 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

Graph Neural Networks (GNNs) have achieved notable success in learning from graph-structured data, owing to their ability to capture intricate dependencies and relationships between nodes. They excel in various applications, including…

Machine Learning · Computer Science 2023-11-29 Akansha A

Despite much research, Graph Neural Networks (GNNs) still do not display the favorable scaling properties of other deep neural networks such as Convolutional Neural Networks and Transformers. Previous work has identified issues such as…

Machine Learning · Computer Science 2023-12-19 Ameen Ali , Hakan Cevikalp , Lior Wolf

Graph neural networks (GNNs) have demonstrated their effectiveness in various tasks supported by their generalization capabilities. However, the current analysis of GNN generalization relies on the assumption that training and testing data…

Machine Learning · Computer Science 2024-09-11 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

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

Graph neural networks (GNNs) have emerged as a fundamental tool for learning from graph-structured data, achieving strong performance across a wide range of applications. However, understanding their generalization capabilities remains…

Machine Learning · Computer Science 2026-05-14 Peiyao Wang , Liang Bai , Xian Yang , Richard Yi Da Xu , Jiye Liang

Graph Neural Networks (GNNs) have achieved impressive performance in graph-related tasks. However, they suffer from poor generalization on out-of-distribution (OOD) data, as they tend to learn spurious correlations. Such correlations…

Machine Learning · Statistics 2026-03-26 Bowen Lu , Liangqiang Yang , Teng Li

Graph Neural Networks (GNNs) are powerful tools for learning on structured data, yet the relationship between their expressivity and predictive performance remains unclear. We introduce a family of premetrics that capture different degrees…

Machine Learning · Computer Science 2025-05-19 Sohir Maskey , Raffaele Paolino , Fabian Jogl , Gitta Kutyniok , Johannes F. Lutzeyer

Graph Neural Networks (GNN) are currently the most popular approach for learning and prediction on graph-structured data and are deployed in various fields, from social network analysis to drug discovery. However, there is limited…

Methodology · Statistics 2026-05-26 Nil Ayday , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

Out-of-distribution (OOD) generalization has gained increasing attentions for learning on graphs, as graph neural networks (GNNs) often exhibit performance degradation with distribution shifts. The challenge is that distribution shifts on…

Machine Learning · Computer Science 2024-08-19 Qitian Wu , Fan Nie , Chenxiao Yang , Tianyi Bao , Junchi Yan

Current graph neural networks (GNNs) lack generalizability with respect to scales (graph sizes, graph diameters, edge weights, etc..) when solving many graph analysis problems. Taking the perspective of synthesizing graph theory programs,…

Machine Learning · Computer Science 2020-10-27 Hao Tang , Zhiao Huang , Jiayuan Gu , Bao-Liang Lu , Hao Su

Graph Neural Networks (GNNs) have received a lot of interest in the recent times. From the early spectral architectures that could only operate on undirected graphs per a transductive learning paradigm to the current state of the art…

Machine Learning · Computer Science 2021-05-18 Pushkar Mishra , Aleksandra Piktus , Gerard Goossen , Fabrizio Silvestri

Graph neural networks (GNNs) have achieved impressive performance when testing and training graph data come from identical distribution. However, existing GNNs lack out-of-distribution generalization abilities so that their performance…

Machine Learning · Computer Science 2021-12-15 Haoyang Li , Xin Wang , Ziwei Zhang , Wenwu Zhu

Graph Neural Networks (GNNs) show promising results for graph tasks. However, existing GNNs' generalization ability will degrade when there exist distribution shifts between testing and training graph data. The cardinal impetus underlying…

Machine Learning · Computer Science 2023-12-21 Zhengyu Chen , Teng Xiao , Kun Kuang , Zheqi Lv , Min Zhang , Jinluan Yang , Chengqiang Lu , Hongxia Yang , Fei Wu

Graph Neural Networks (GNNs) is an architecture for structural data, and has been adopted in a mass of tasks and achieved fabulous results, such as link prediction, node classification, graph classification and so on. Generally, for a…

Machine Learning · Computer Science 2022-05-12 Ye Tang , Xuesong Yang , Xinrui Liu , Xiwei Zhao , Zhangang Lin , Changping Peng

Despite the celebrated popularity of Graph Neural Networks (GNNs) across numerous applications, the ability of GNNs to generalize remains less explored. In this work, we propose to study the generalization of GNNs through a novel…

Machine Learning · Computer Science 2024-04-17 Shouheng Li , Dongwoo Kim , Qing Wang

Graph neural networks (GNNs) have exhibited remarkable performance under the assumption that test data comes from the same distribution of training data. However, in real-world scenarios, this assumption may not always be valid.…

Machine Learning · Computer Science 2024-02-15 Kai Guo , Hongzhi Wen , Wei Jin , Yaming Guo , Jiliang Tang , Yi Chang

Graph Neural Networks (GNNs) require a relatively large number of labeled nodes and a reliable/uncorrupted graph connectivity structure in order to obtain good performance on the semi-supervised node classification task. The performance of…

Machine Learning · Computer Science 2021-07-01 Abdullah Alchihabi , Yuhong Guo
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