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Message passing graph neural networks (GNNs) are known to have their expressiveness upper-bounded by 1-dimensional Weisfeiler-Leman (1-WL) algorithm. To achieve more powerful GNNs, existing attempts either require ad hoc features, or…

Machine Learning · Computer Science 2024-01-24 Meng Liu , Haiyang Yu , Shuiwang Ji

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

Message passing Graph Neural Networks (GNNs) provide a powerful modeling framework for relational data. However, the expressive power of existing GNNs is upper-bounded by the 1-Weisfeiler-Lehman (1-WL) graph isomorphism test, which means…

Machine Learning · Computer Science 2021-02-08 Jiaxuan You , Jonathan Gomes-Selman , Rex Ying , Jure Leskovec

Graph Neural Networks (GNNs) have seen significant advances in recent years, yet their application to multigraphs, where parallel edges exist between the same pair of nodes, remains under-explored. Standard GNNs, designed for simple graphs,…

Machine Learning · Computer Science 2024-12-11 H. Çağrı Bilgi , Lydia Y. Chen , Kubilay Atasu

Graph Neural Networks (GNNs) have become essential in high-stakes domains such as drug discovery, yet their black-box nature remains a significant barrier to trustworthiness. While self-explainable GNNs attempt to bridge this gap, they…

Machine Learning · Computer Science 2026-02-25 Chuqin Geng , Li Zhang , Haolin Ye , Ziyu Zhao , Yuhe Jiang , Tara Saba , Xinyu Wang , Xujie Si

We present a novel edge-level ego-network encoding for learning on graphs that can boost Message Passing Graph Neural Networks (MP-GNNs) by providing additional node and edge features or extending message-passing formats. The proposed…

Machine Learning · Computer Science 2024-05-03 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

Designing expressive Graph Neural Networks (GNNs) is a central topic in learning graph-structured data. While numerous approaches have been proposed to improve GNNs in terms of the Weisfeiler-Lehman (WL) test, generally there is still a…

Machine Learning · Computer Science 2024-02-13 Bohang Zhang , Shengjie Luo , Liwei Wang , Di He

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

Deploying graph neural networks (GNNs) on whole-graph classification or regression tasks is known to be challenging: it often requires computing node features that are mindful of both local interactions in their neighbourhood and the global…

Machine Learning · Computer Science 2022-12-22 Andreea Deac , Marc Lackenby , Petar Veličković

The expressive power of message passing neural networks (MPNNs) is known to match the expressive power of the 1-dimensional Weisfeiler-Leman graph (1-WL) isomorphism test. To boost the expressive power of MPNNs, a number of graph neural…

Machine Learning · Computer Science 2020-06-18 Floris Geerts

Graph Neural Networks (GNNs), originally proposed for node classification, have also motivated many recent works on edge prediction (a.k.a., link prediction). However, existing methods lack elaborate design regarding the distinctions…

Machine Learning · Computer Science 2024-01-24 Jiarui Jin , Yangkun Wang , Weinan Zhang , Quan Gan , Xiang Song , Yong Yu , Zheng Zhang , David Wipf

In this work, we propose a novel decoding algorithm for short block codes based on an edge-weighted graph neural network (EW-GNN). The EW-GNN decoder operates on the Tanner graph with an iterative message-passing structure, which…

Information Theory · Computer Science 2022-11-15 Kou Tian , Chentao Yue , Changyang She , Yonghui Li , Branka Vucetic

Message passing neural networks (MPNNs) have become a dominant flavor of graph neural networks (GNNs) in recent years. Yet, MPNNs come with notable limitations; namely, they are at most as powerful as the 1-dimensional Weisfeiler-Leman…

Machine Learning · Computer Science 2022-11-04 Lingxiao Zhao , Louis Härtel , Neil Shah , Leman Akoglu

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

Since the Message Passing (Graph) Neural Networks (MPNNs) have a linear complexity with respect to the number of nodes when applied to sparse graphs, they have been widely implemented and still raise a lot of interest even though their…

Machine Learning · Computer Science 2021-06-15 Muhammet Balcilar , Pierre Héroux , Benoit Gaüzère , Pascal Vasseur , Sébastien Adam , Paul Honeine

Recently, the Weisfeiler-Lehman (WL) graph isomorphism test was used to measure the expressive power of graph neural networks (GNN). It was shown that the popular message passing GNN cannot distinguish between graphs that are…

Machine Learning · Computer Science 2020-06-11 Haggai Maron , Heli Ben-Hamu , Hadar Serviansky , Yaron Lipman

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…

It has been shown that a message passing neural networks (MPNNs), a popular family of neural networks for graph-structured data, are at most as expressive as the first-order Weisfeiler-Leman (1-WL) graph isomorphism test, which has…

Machine Learning · Computer Science 2022-02-22 Markus Zopf

This paper presents a new Graph Neural Network (GNN) type using feature-wise linear modulation (FiLM). Many standard GNN variants propagate information along the edges of a graph by computing "messages" based only on the representation of…

Machine Learning · Computer Science 2020-06-29 Marc Brockschmidt

In recent years, there has been a significant amount of research focused on expanding the expressivity of Graph Neural Networks (GNNs) beyond the Weisfeiler-Lehman (1-WL) framework. While many of these studies have yielded advancements in…

Machine Learning · Computer Science 2024-03-12 Shouheng Li , Dongwoo Kim , Qing Wang
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