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The counting power of Message Passing Neural Networks (MPNN) has been the subject of many recent papers, showing that they can express logic that involves counting up to a threshold or more generally satisfy a linear arithmetic constraint.…

Machine Learning · Computer Science 2026-05-12 Marco Sälzer , Pascal Bergsträßer , Anthony W. Lin

Graph Neural Networks (GNNs) have achieved promising performance in semi-supervised node classification in recent years. However, the problem of insufficient supervision, together with representation collapse, largely limits the performance…

Machine Learning · Computer Science 2025-03-07 Xihong Yang , Yiqi Wang , Yue Liu , Yi Wen , Lingyuan Meng , Sihang Zhou , Xinwang Liu , En Zhu

Graph Neural Networks (GNNs) have shown promising potential in graph representation learning. The majority of GNNs define a local message-passing mechanism, propagating information over the graph by stacking multiple layers. These methods,…

Machine Learning · Computer Science 2024-02-20 Ali Behrouz , Farnoosh Hashemi

In this study, we introduce a domain-decomposition-based distributed training and inference approach for message-passing neural networks (MPNN). Our objective is to address the challenge of scaling edge-based graph neural networks as the…

Machine Learning · Computer Science 2025-02-20 Priyesh Kakka , Sheel Nidhan , Rishikesh Ranade , Jay Pathak , Jonathan F. MacArt

Message Passing Graph Neural Networks (MPGNNs) have emerged as the preferred method for modeling complex interactions across diverse graph entities. While the theory of such models is well understood, their aggregation module has not…

Machine Learning · Computer Science 2024-10-01 Mitchell Keren Taraday , Almog David , Chaim Baskin

Graph neural networks (GNNs) have become the state of the art for various graph-related tasks and are particularly prominent in heterogeneous graphs (HetGs). However, several issues plague this paradigm: first, the difficulty in fully…

Machine Learning · Computer Science 2025-02-25 Xuqi Mao , Zhenying He , X. Sean Wang

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

One main challenge in imbalanced graph classification is to learn expressive representations of the graphs in under-represented (minority) classes. Existing generic imbalanced learning methods, such as oversampling and imbalanced learning…

Machine Learning · Computer Science 2024-05-20 Rongrong Ma , Guansong Pang , Ling Chen

Message-passing graph neural networks (MPNNs) have emerged as the leading approach for machine learning on graphs, attracting significant attention in recent years. While a large set of works explored the expressivity of MPNNs, i.e., their…

Machine Learning · Computer Science 2025-03-21 Antonis Vasileiou , Stefanie Jegelka , Ron Levie , Christopher Morris

Message passing neural networks (MPNNs) learn the representation of graph-structured data based on graph original information, including node features and graph structures, and have shown astonishing improvement in node classification…

Machine Learning · Computer Science 2023-01-30 Xiao Liu , Lijun Zhang , Hui Guan

Expressivity theory, characterizing which graphs a GNN can distinguish, has become the predominant framework for analyzing GNNs, with new models striving for higher expressivity. However, we argue that this focus is misguided: First, higher…

Machine Learning · Computer Science 2025-10-23 Niklas Kemper , Tom Wollschläger , Stephan Günnemann

Graph convolutional networks (GCNs) have achieved remarkable learning ability for dealing with various graph structural data recently. In general, deep GCNs do not work well since graph convolution in conventional GCNs is a special form of…

Machine Learning · Computer Science 2021-12-08 Zhilong Xiong , Jia Cai

In this paper we cast neural networks defined on graphs as message-passing neural networks (MPNNs) in order to study the distinguishing power of different classes of such models. We are interested in whether certain architectures are able…

Machine Learning · Computer Science 2020-04-07 Floris Geerts , Filip Mazowiecki , Guillermo A. Pérez

Graph Convolutional Networks (GCNs) have been shown to be a powerful concept that has been successfully applied to a large variety of tasks across many domains over the past years. In this work we study the theory that paved the way to the…

Machine Learning · Computer Science 2022-07-13 Matteo Bunino

Machine learning on graphs has recently found extensive applications across domains. However, the commonly used Message Passing Neural Networks (MPNNs) suffer from limited expressive power and struggle to capture long-range dependencies.…

Machine Learning · Computer Science 2024-10-07 Yinan Huang , Siqi Miao , Pan Li

Knowledge graphs (KGs) facilitate a wide variety of applications. Despite great efforts in creation and maintenance, even the largest KGs are far from complete. Hence, KG completion (KGC) has become one of the most crucial tasks for KG…

Artificial Intelligence · Computer Science 2023-07-06 Juanhui Li , Harry Shomer , Jiayuan Ding , Yiqi Wang , Yao Ma , Neil Shah , Jiliang Tang , Dawei Yin

While Graph Neural Networks (GNNs) have achieved remarkable success, their design largely relies on empirical intuition rather than theoretical understanding. In this paper, we present a comprehensive analysis of GNN behavior through three…

Machine Learning · Computer Science 2025-02-04 Qin Jiang , Chengjia Wang , Michael Lones , Wei Pang

Message-passing neural networks (MPNNs) are a powerful framework for learning representations of graph-structured domains. However, weights in MPNNs act on features only, limiting their ability to capture structural patterns. We introduce a…

Machine Learning · Computer Science 2026-05-26 Florian Seiffarth

Graph embedding is an important approach for graph analysis tasks such as node classification and link prediction. The goal of graph embedding is to find a low dimensional representation of graph nodes that preserves the graph information.…

Machine Learning · Computer Science 2019-08-27 Mahsa Ghorbani , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

Graph Neural Networks (GNNs) set the state-of-the-art in representation learning for graph-structured data. They are used in many domains, from online social networks to complex molecules. Most GNNs leverage the message-passing paradigm and…

Machine Learning · Computer Science 2025-03-06 Tuğrul Hasan Karabulut , İnci M. Baytaş