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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

We propose Dynamically Pruned Message Passing Networks (DPMPN) for large-scale knowledge graph reasoning. In contrast to existing models, embedding-based or path-based, we learn an input-dependent subgraph to explicitly model reasoning…

Artificial Intelligence · Computer Science 2020-04-09 Xiaoran Xu , Wei Feng , Yunsheng Jiang , Xiaohui Xie , Zhiqing Sun , Zhi-Hong Deng

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

We propose Scalable Message Passing Neural Networks (SMPNNs) and demonstrate that, by integrating standard convolutional message passing into a Pre-Layer Normalization Transformer-style block instead of attention, we can produce…

Machine Learning · Computer Science 2026-03-11 Haitz Sáez de Ocáriz Borde , Artem Lukoianov , Anastasis Kratsios , Michael Bronstein , Xiaowen Dong

Learning representations for structured data with certain geometries (e.g., observed or unobserved) is a fundamental challenge, wherein message passing neural networks (MPNNs) have become a de facto class of model solutions. In this paper,…

Machine Learning · Computer Science 2025-07-02 Qitian Wu , David Wipf , Junchi Yan

Graph neural networks (GNNs) have become pivotal tools for processing graph-structured data, leveraging the message passing scheme as their core mechanism. However, traditional GNNs often grapple with issues such as instability,…

Spectral Theory · Mathematics 2026-05-20 Yuanhong Jiang , Dongmian Zou , Xiaoqun Zhang , Yu Guang Wang

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

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

Machine Learning · Computer Science 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

Graph neural networks (GNNs) have drawn increasing attention in recent years and achieved remarkable performance in many graph-based tasks, especially in semi-supervised learning on graphs. However, most existing GNNs are based on the…

Machine Learning · Computer Science 2024-01-24 Li Zhou , Wenyu Chen , Dingyi Zeng , Shaohuan Cheng , Wanlong Liu , Malu Zhang , Hong Qu

Message-passing graph neural networks (MPNNs) emerged as powerful tools for processing graph-structured input. However, they operate on a fixed input graph structure, ignoring potential noise and missing information. Furthermore, their…

Machine Learning · Computer Science 2024-03-27 Chendi Qian , Andrei Manolache , Kareem Ahmed , Zhe Zeng , Guy Van den Broeck , Mathias Niepert , Christopher Morris

Message passing is a fundamental procedure for graph neural networks in the field of graph representation learning. Based on the homophily assumption, the current message passing always aggregates features of connected nodes, such as the…

Machine Learning · Computer Science 2022-02-02 Jie Chen , Weiqi Liu , Jian Pu

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

Machine Learning · Computer Science 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao

The dominant paradigm for learning on graph-structured data is message passing. Despite being a strong inductive bias, the local message passing mechanism suffers from pathological issues such as over-smoothing, over-squashing, and limited…

Machine Learning · Computer Science 2025-04-15 Jacob Bamberger , Federico Barbero , Xiaowen Dong , Michael M. Bronstein

Message Passing Neural Networks (MPNNs) are instances of Graph Neural Networks that leverage the graph to send messages over the edges. This inductive bias leads to a phenomenon known as over-squashing, where a node feature is insensitive…

Machine Learning · Computer Science 2023-05-25 Francesco Di Giovanni , Lorenzo Giusti , Federico Barbero , Giulia Luise , Pietro Lio' , Michael Bronstein

Supervised learning on molecules has incredible potential to be useful in chemistry, drug discovery, and materials science. Luckily, several promising and closely related neural network models invariant to molecular symmetries have already…

Machine Learning · Computer Science 2017-06-14 Justin Gilmer , Samuel S. Schoenholz , Patrick F. Riley , Oriol Vinyals , George E. Dahl

Message passing neural networks (MPNNs) operate on graphs by exchanging information between neigbouring nodes. MPNNs have been successfully applied to various node-, edge-, and graph-level tasks in areas like molecular science, computer…

Machine Learning · Computer Science 2025-11-05 Lisi Qarkaxhija , Anatol E. Wegner , Ingo Scholtes

We present many-body Message Passing Neural Network (MPNN) framework that models higher-order node interactions ($\ge 2$ nodes). We model higher-order terms as tree-shaped motifs, comprising a central node with its neighborhood, and apply…

Machine Learning · Computer Science 2024-07-17 Jiatong Han

In this work we propose Pathfinder Discovery Networks (PDNs), a method for jointly learning a message passing graph over a multiplex network with a downstream semi-supervised model. PDNs inductively learn an aggregated weight for each edge,…

Machine Learning · Computer Science 2021-02-18 Benedek Rozemberczki , Peter Englert , Amol Kapoor , Martin Blais , Bryan Perozzi

Strategies to improve the predicting performance of Message-Passing Neural-Networks for molecular property predictions can be achieved by simplifying how the message is passed and by using descriptors that capture multiple aspects of…

Machine Learning · Computer Science 2025-10-22 Alma C. Castaneda-Leautaud , Rommie E. Amaro

We study the generalization capabilities of Message Passing Neural Networks (MPNNs), a prevalent class of Graph Neural Networks (GNN). We derive generalization bounds specifically for MPNNs with normalized sum aggregation and mean…

Machine Learning · Computer Science 2024-04-05 Sohir Maskey , Gitta Kutyniok , Ron Levie
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