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Graph Neural Networks (GNNs), especially message-passing neural networks (MPNNs), have emerged as powerful architectures for learning on graphs in diverse applications. However, MPNNs face challenges when modeling non-local interactions in…

Machine Learning · Statistics 2024-01-31 Ilyes Batatia , Lars L. Schaaf , Huajie Chen , Gábor Csányi , Christoph Ortner , Felix A. Faber

Creating fast and accurate force fields is a long-standing challenge in computational chemistry and materials science. Recently, several equivariant message passing neural networks (MPNNs) have been shown to outperform models built using…

Machine Learning · Statistics 2023-01-30 Ilyes Batatia , Dávid Péter Kovács , Gregor N. C. Simm , Christoph Ortner , Gábor Csányi

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…

Most Graph Neural Networks (GNNs) propagate messages by treating node embeddings as holistic feature vectors, implicitly assuming uniform relevance across feature dimensions. This limits their ability to selectively transmit informative…

Machine Learning · Computer Science 2025-12-24 Longlong Li , Mengyang Zhao , Guanghui Wang , Cunquan Qu

Message passing neural networks have recently evolved into a state-of-the-art approach to representation learning on graphs. Existing methods perform synchronous message passing along all edges in multiple subsequent rounds and consequently…

Machine Learning · Computer Science 2020-12-21 Julian Busch , Jiaxing Pi , Thomas Seidl

Graph neural networks (GNNs) are widely used in graph learning and most architectures propagate information by passing messages between vertices. In this work, we shift our attention to GNNs that perform message passing on edges and…

Machine Learning · Computer Science 2026-02-03 Pablo Barceló , Fabian Jogl , Alexander Kozachinskiy , Matthias Lanzinger , Stefan Neumann , Cristóbal Rojas

Graph Neural Networks (GNNs) have been widely adopted for drug discovery with molecular graphs. Nevertheless, current GNNs mainly excel in leveraging short-range interactions (SRI) but struggle to capture long-range interactions (LRI), both…

Machine Learning · Computer Science 2024-04-02 Xuan Li , Zhanke Zhou , Jiangchao Yao , Yu Rong , Lu Zhang , Bo Han

We present a novel method for learning the weights of an artificial neural network - a Message Passing Learning Protocol (MPLP). In MPLP, we abstract every operations occurring in ANNs as independent agents. Each agent is responsible for…

Machine Learning · Computer Science 2020-07-06 Ettore Randazzo , Eyvind Niklasson , Alexander Mordvintsev

Graph Neural Networks (GNNs) have become a popular approach for various applications, ranging from social network analysis to modeling chemical properties of molecules. While GNNs often show remarkable performance on public datasets, they…

Machine Learning · Computer Science 2022-02-03 Krzysztof Sadowski , Michał Szarmach , Eddie Mattia

Message-passing neural networks (MPNNs) often suffer from an information bottleneck when capturing long-range dependencies, leading to the oversquashing (OSQ) phenomenon. Alongside spatial connectivity enrichment (e.g., rewiring), recent…

Machine Learning · Computer Science 2026-05-25 Dai Shi , Luke Thompson , Linhan Luo , Lequan Lin , Andi Han , Junbin Gao , José Miguel Hernández Lobato

Ewald summation is widely used to calculate electrostatic interactions in computer simulations of condensed-matter systems. We present an analysis of the errors arising from truncating the infinite real- and Fourier-space lattice sums in…

chem-ph · Physics 2016-08-31 Gerhard Hummer

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

We investigate the distance function learned by message passing neural networks (MPNNs) in specific tasks, aiming to capture the functional distance between prediction targets that MPNNs implicitly learn. This contrasts with previous work,…

Machine Learning · Computer Science 2025-06-02 Masahiro Negishi , Thomas Gärtner , Pascal Welke

Training deep graph neural networks (GNNs) poses a challenging task, as the performance of GNNs may suffer from the number of hidden message-passing layers. The literature has focused on the proposals of {over-smoothing} and…

Machine Learning · Statistics 2023-02-27 Yirui Liu , Xinghao Qiao , Liying Wang , Jessica Lam

Message-passing graph neural networks (MPGNNs) dominate modern graph learning. Typical efforts enhance MPGNN's expressive power by enriching the adjacency-based aggregation. In contrast, we introduce an efficient aggregation over walk…

Machine Learning · Computer Science 2025-09-29 Marek Černý

Distributed power allocation is important for interference-limited wireless networks with dense transceiver pairs. In this paper, we aim to design low signaling overhead distributed power allocation schemes by using graph neural networks…

Signal Processing · Electrical Eng. & Systems 2023-03-06 Yifan Gu , Changyang She , Zhi Quan , Chen Qiu , Xiaodong Xu

The message-passing scheme is the core of graph representation learning. While most existing message-passing graph neural networks (MPNNs) are permutation-invariant in graph-level representation learning and permutation-equivariant in node-…

Machine Learning · Computer Science 2022-11-22 Chang Liu , Yuwen Yang , Yue Ding , Hongtao Lu

The paper presents a solution to the problem of universal representation of graphs exemplifying communication network topologies with the help of neural networks. The proposed approach is based on message-passing neural networks (MPNN). The…

Networking and Internet Architecture · Computer Science 2019-04-15 Krzysztof Rusek , Piotr Chołda

Graph Neural Networks (GNNs) have emerged as powerful tools for learning on graph-structured data, but often struggle to balance local and global information. While graph Transformers aim to address this by enabling long-range interactions,…

Machine Learning · Computer Science 2025-11-18 Jeongwhan Choi , Seungjun Park , Sumin Park , Sung-Bae Cho , Noseong Park

Graph neural network have achieved impressive results in predicting molecular properties, but they do not directly account for local and hidden structures in the graph such as functional groups and molecular geometry. At each propagation…

Machine Learning · Computer Science 2020-02-25 Daniel Flam-Shepherd , Tony Wu , Pascal Friederich , Alan Aspuru-Guzik