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Graph neural networks (GNNs), as the de-facto model class for representation learning on graphs, are built upon the multi-layer perceptrons (MLP) architecture with additional message passing layers to allow features to flow across nodes.…

Machine Learning · Computer Science 2023-08-07 Chenxiao Yang , Qitian Wu , Jiahua Wang , Junchi Yan

Graph Neural Networks (GNNs), neural network architectures targeted to learning representations of graphs, have become a popular learning model for prediction tasks on nodes, graphs and configurations of points, with wide success in…

Machine Learning · Computer Science 2022-04-19 Stefanie Jegelka

Graph neural networks (GNNs) are a widely used class of machine learning models for graph-structured data, based on local aggregation over neighbors. GNNs have close connections to logic. In particular, their expressive power is linked to…

Logic in Computer Science · Computer Science 2026-01-30 Arie Soeteman , Michael Benedikt , Martin Grohe , Balder ten Cate

Diffusion models have gained popularity in graph generation tasks; however, the extent of their expressivity concerning the graph distributions they can learn is not fully understood. Unlike models in other domains, popular backbones for…

Machine Learning · Computer Science 2025-02-05 Xiyuan Wang , Yewei Liu , Lexi Pang , Siwei Chen , Muhan Zhang

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by additionally making use of graph structure based on the relational inductive bias (edge bias), rather than treating the nodes as collections of independent and identically…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Doina Precup

We perform the first adversarial robustness study into Graph Neural Networks (GNNs) that are provably more powerful than traditional Message Passing Neural Networks (MPNNs). In particular, we use adversarial robustness as a tool to uncover…

Machine Learning · Computer Science 2024-07-04 Francesco Campi , Lukas Gosch , Tom Wollschläger , Yan Scholten , Stephan Günnemann

We analyze the universality and generalization of graph neural networks (GNNs) on attributed graphs, i.e., with node attributes. To this end, we propose pseudometrics over the space of all attributed graphs that describe the fine-grained…

Machine Learning · Computer Science 2025-08-27 Levi Rauchwerger , Stefanie Jegelka , Ron Levie

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

A wide range of models have been proposed for Graph Generative Models, necessitating effective methods to evaluate their quality. So far, most techniques use either traditional metrics based on subgraph counting, or the representations of…

Machine Learning · Statistics 2022-06-14 Hamed Shirzad , Kaveh Hassani , Danica J. Sutherland

Message passing neural networks (MPNN) have seen a steep rise in popularity since their introduction as generalizations of convolutional neural networks to graph-structured data, and are now considered state-of-the-art tools for solving a…

Machine Learning · Computer Science 2022-08-05 Sohir Maskey , Ron Levie , Yunseok Lee , Gitta Kutyniok

Graph neural networks (GNNs) have demonstrated a significant boost in prediction performance on graph data. At the same time, the predictions made by these models are often hard to interpret. In that regard, many efforts have been made to…

Machine Learning · Computer Science 2023-05-24 Yiqiao Li , Jianlong Zhou , Sunny Verma , Fang Chen

While Graph Neural Networks (GNNs) have achieved remarkable results in a variety of applications, recent studies exposed important shortcomings in their ability to capture the structure of the underlying graph. It has been shown that the…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Fabrizio Frasca , Stefanos Zafeiriou , Michael M. Bronstein

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

Recent advancements in graph learning have revolutionized the way to understand and analyze data with complex structures. Notably, Graph Neural Networks (GNNs), i.e. neural network architectures designed for learning graph representations,…

Machine Learning · Computer Science 2024-07-09 Yu Huang , Min Zhou , Menglin Yang , Zhen Wang , Muhan Zhang , Jie Wang , Hong Xie , Hao Wang , Defu Lian , Enhong Chen

In recent years, a wide variety of graph neural network (GNN) architectures have emerged, each with its own strengths, weaknesses, and complexities. Various techniques, including rewiring, lifting, and node annotation with centrality…

Machine Learning · Computer Science 2024-10-14 Zhifei Li , Gerrit Großmann , Verena Wolf

Graph neural networks (GNNs) are shown to be successful in modeling applications with graph structures. However, training an accurate GNN model requires a large collection of labeled data and expressive features, which might be inaccessible…

Machine Learning · Computer Science 2019-06-03 Ziniu Hu , Changjun Fan , Ting Chen , Kai-Wei Chang , Yizhou Sun

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

Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

Machine Learning · Computer Science 2024-07-09 Markus Zopf , Francesco Alesiani

It has been recently shown that general policies for many classical planning domains can be expressed and learned in terms of a pool of features defined from the domain predicates using a description logic grammar. At the same time, most…

Artificial Intelligence · Computer Science 2022-05-09 Simon Ståhlberg , Blai Bonet , Hector Geffner

Graph Neural Networks (GNNs) have become a standard approach for learning from graph-structured data. However, their reliance on parametric classifiers (most often linear softmax layers) limits interpretability and sometimes hinders…

Machine Learning · Computer Science 2026-02-03 Zeljko Bolevic , Milos Brajovic , Isidora Stankovic , Ljubisa Stankovic