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Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

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

Graph Neural Networks (GNNs) have achieved a lot of success on graph-structured data. However, it is observed that the performance of graph neural networks does not improve as the number of layers increases. This effect, known as…

Machine Learning · Computer Science 2020-06-25 Chen Cai , Yusu Wang

Recently graph neural network (GNN) based algorithms were proposed to solve a variety of combinatorial optimization problems, including Maximum Cut problem, Maximum Independent Set problem and similar other…

Machine Learning · Computer Science 2023-06-06 David Gamarnik

Graph neural networks (GNNs) have shown state-of-the-art performances in various applications. However, GNNs often struggle to capture long-range dependencies in graphs due to oversmoothing. In this paper, we generalize the concept of…

Machine Learning · Computer Science 2023-11-01 Sohir Maskey , Raffaele Paolino , Aras Bacho , Gitta Kutyniok

Graph neural networks (GNN) have achieved state-of-the-art performance on various industrial tasks. However, the poor efficiency of GNN inference and frequent Out-Of-Memory (OOM) problem limit the successful application of GNN on edge…

Machine Learning · Computer Science 2021-04-13 Ao Zhou , Jianlei Yang , Yeqi Gao , Tong Qiao , Yingjie Qi , Xiaoyi Wang , Yunli Chen , Pengcheng Dai , Weisheng Zhao , Chunming Hu

Although hypergraph neural networks (HGNNs) have emerged as a powerful framework for analyzing complex datasets, their practical performance often remains limited. On one hand, existing networks typically employ a single type of attention…

Machine Learning · Computer Science 2025-11-14 Murong Yang , Shihui Ying , Yue Gao , Xin-Jian Xu

Graph Neural Networks (GNNs) typically operate by message-passing, where the state of a node is updated based on the information received from its neighbours. Most message-passing models act as graph convolutions, where features are mixed…

Effectively and efficiently deploying graph neural networks (GNNs) at scale remains one of the most challenging aspects of graph representation learning. Many powerful solutions have only ever been validated on comparatively small datasets,…

Traditional Graph Neural Networks (GNNs) rely on network homophily, which can lead to performance degradation due to over-smoothing in many real-world heterophily scenarios. Recent studies analyze the smoothing effect (separability) after…

Machine Learning · Computer Science 2024-11-05 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Mesh-based Graph Neural Networks (GNNs) have recently shown capabilities to simulate complex multiphysics problems with accelerated performance times. However, mesh-based GNNs require a large number of message-passing (MP) steps and suffer…

Computational Engineering, Finance, and Science · Computer Science 2024-02-15 Roberto Perera , Vinamra Agrawal

Graph Convolutional Networks (GCNs) are known to suffer from performance degradation as the number of layers increases, which is usually attributed to over-smoothing. Despite the apparent consensus, we observe that there exists a…

Machine Learning · Computer Science 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Graph Neural Networks (GNNs) are eminently suitable for wireless resource management, thanks to their scalability, but they still face computational challenges in large-scale, dense networks in classical computers. The integration of…

Information Theory · Computer Science 2026-01-27 Le Tung Giang , Nguyen Xuan Tung , Trinh Van Chien , Lajos Hanzo , Won-Joo Hwang

Graph neural networks (GNNs) are a type of deep learning models that are trained on graphs and have been successfully applied in various domains. Despite the effectiveness of GNNs, it is still challenging for GNNs to efficiently scale to…

Machine Learning · Computer Science 2023-08-28 Yingxia Shao , Hongzheng Li , Xizhi Gu , Hongbo Yin , Yawen Li , Xupeng Miao , Wentao Zhang , Bin Cui , Lei Chen

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Modern neural networks have shown promise for solving partial differential equations over surfaces, often by discretizing the surface as a mesh and learning with a mesh-aware graph neural network. However, graph neural networks suffer from…

Machine Learning · Computer Science 2026-05-13 Edward Berman , Luisa Li , Jung Yeon Park , Robin Walters

In the graph domain, deep graph networks based on Message Passing Neural Networks (MPNNs) or Graph Transformers often cause over-smoothing of node features, limiting their expressive capacity. Many upsampling techniques involving node and…

Machine Learning · Computer Science 2026-02-03 Xiaotang Wang , Yun Zhu , Haizhou Shi , Yongchao Liu , Yongqi Zhang

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan

Graph neural networks (GNNs) have struggled to outperform traditional optimization methods on combinatorial problems, limiting their practical impact. We address this gap by introducing a novel chaining procedure for the graph alignment…

Machine Learning · Computer Science 2025-10-06 Marc Lelarge

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