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Graph neural networks (GNN) are deep learning architectures for graphs. Essentially, a GNN is a distributed message passing algorithm, which is controlled by parameters learned from data. It operates on the vertices of a graph: in each…

Logic in Computer Science · Computer Science 2024-05-21 Martin Grohe , Eran Rosenbluth

The most prevalent class of neural networks operating on graphs are message passing neural networks (MPNNs), in which the representation of a node is updated iteratively by aggregating information in the 1-hop neighborhood. Since this…

Machine Learning · Computer Science 2023-10-25 Floor Eijkelboom , Erik Bekkers , Michael Bronstein , Francesco Di Giovanni

Graph neural networks (GNNs) based on message passing between neighboring nodes are known to be insufficient for capturing long-range interactions in graphs. In this project we study hierarchical message passing models that leverage a…

Machine Learning · Computer Science 2021-08-17 Ladislav Rampášek , Guy Wolf

Graph Neural Networks (GNNs) that are based on the message passing (MP) paradigm generally exchange information between 1-hop neighbors to build node representations at each layer. In principle, such networks are not able to capture…

Machine Learning · Computer Science 2023-11-29 Vijay Prakash Dwivedi , Ladislav Rampášek , Mikhail Galkin , Ali Parviz , Guy Wolf , Anh Tuan Luu , Dominique Beaini

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

Recently Graph Neural Network (GNN) has been applied successfully to various NLP tasks that require reasoning, such as multi-hop machine reading comprehension. In this paper, we consider a novel case where reasoning is needed over graphs…

Computation and Language · Computer Science 2020-04-13 Ming Tu , Jing Huang , Xiaodong He , Bowen Zhou

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 achieved notable success in the analysis of non-Euclidean data across a wide range of domains. However, their applicability is constrained by the dependence on the observed graph structure. To solve this…

Machine Learning · Computer Science 2024-09-19 Ziyan Wang , Yaxuan He , Bin Liu

Graph neural networks (GNNs) have been widely used to predict properties and heuristics of mixed-integer linear programs (MILPs) and hence accelerate MILP solvers. This paper investigates the capacity of GNNs to represent strong branching…

Machine Learning · Computer Science 2025-01-09 Ziang Chen , Jialin Liu , Xiaohan Chen , Xinshang Wang , Wotao Yin

This paper proposes the Mesh Neural Network (MNN), a novel architecture which allows neurons to be connected in any topology, to efficiently route information. In MNNs, information is propagated between neurons throughout a state transition…

Machine Learning · Computer Science 2021-10-01 Federico A. Galatolo , Mario G. C. A. Cimino , Gigliola Vaglini

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Message passing neural networks (MPNNs) have been shown to suffer from the phenomenon of over-squashing that causes poor performance for tasks relying on long-range interactions. This can be largely attributed to message passing only…

Machine Learning · Computer Science 2023-05-19 Benjamin Gutteridge , Xiaowen Dong , Michael Bronstein , Francesco Di Giovanni

We establish connections between the Transformer architecture, originally introduced for natural language processing, and Graph Neural Networks (GNNs) for representation learning on graphs. We show how Transformers can be viewed as message…

Machine Learning · Computer Science 2025-06-30 Chaitanya K. Joshi

Graph Neural Networks (GNNs) are information processing architectures for signals supported on graphs. They are presented here as generalizations of convolutional neural networks (CNNs) in which individual layers contain banks of graph…

Machine Learning · Computer Science 2021-02-01 Luana Ruiz , Fernando Gama , Alejandro Ribeiro

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

Message Passing Graph Neural Networks (MP-GNNs) have garnered attention for addressing various industry challenges, such as user recommendation and fraud detection. However, they face two major hurdles: (1) heavy reliance on local context,…

Machine Learning · Computer Science 2026-03-11 Arihant Jain , Gundeep Arora , Anoop Saladi , Chaosheng Dong

The recent advancements in graph neural networks (GNNs) have led to state-of-the-art performances in various applications, including chemo-informatics, question-answering systems, and recommender systems. However, scaling up these methods…

Machine Learning · Computer Science 2022-03-30 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Message-Passing Neural Networks (MPNNs) are extensively employed in graph learning tasks but suffer from limitations such as the restricted scope of information exchange, by being confined to neighboring nodes during each round of message…

Machine Learning · Computer Science 2024-08-30 Carlos Vonessen , Florian Grötschla , Roger Wattenhofer

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

The ability of message-passing neural networks (MPNNs) to fit complex functions over graphs is limited as most graph convolutions amplify the same signal across all feature channels, a phenomenon known as rank collapse, and over-smoothing…

Machine Learning · Computer Science 2024-12-10 Andreas Roth , Franka Bause , Nils M. Kriege , Thomas Liebig
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