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Graph convolutional networks (GCNs) have achieved promising performance on various graph-based tasks. However they suffer from over-smoothing when stacking more layers. In this paper, we present a quantitative study on this observation and…

Machine Learning · Computer Science 2020-09-28 Hongwei Zhang , Tijin Yan , Zenjun Xie , Yuanqing Xia , Yuan Zhang

In representation learning on graph-structured data, many popular graph neural networks (GNNs) fail to capture long-range dependencies, leading to performance degradation. Furthermore, this weakness is magnified when the concerned graph is…

Machine Learning · Computer Science 2024-03-07 Mengying Jiang , Guizhong Liu , Yuanchao Su , Xinliang Wu

Graph neural networks (GNNs) and message passing neural networks (MPNNs) have been proven to be expressive for subgraph structures in many applications. Some applications in heterogeneous graphs require explicit edge modeling, such as…

Machine Learning · Computer Science 2021-12-17 Xin Liu , Yangqiu Song

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

Our study reveals new theoretical insights into over-smoothing and feature over-correlation in graph neural networks. Specifically, we demonstrate that with increased depth, node representations become dominated by a low-dimensional…

Machine Learning · Computer Science 2024-09-19 Andreas Roth , Thomas Liebig

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

This study utilizes community structures to address node degree biases in message-passing (MP) via learnable graph augmentations and novel graph transformers. Recent augmentation-based methods showed that MP neural networks often perform…

Machine Learning · Computer Science 2023-12-29 Van Thuy Hoang , O-Joun Lee

Recent years have witnessed remarkable success achieved by graph neural networks (GNNs) in many real-world applications such as recommendation and drug discovery. Despite the success, oversmoothing has been identified as one of the key…

Machine Learning · Computer Science 2022-06-17 Wei Jin , Xiaorui Liu , Yao Ma , Charu Aggarwal , Jiliang Tang

We investigate the power of message-passing neural networks (MPNNs) in their capacity to transform the numerical features stored in the nodes of their input graphs. Our focus is on global expressive power, uniformly over all input graphs,…

Artificial Intelligence · Computer Science 2022-07-29 Floris Geerts , Jasper Steegmans , Jan Van den Bussche

As one of the core technologies for 5G systems, massive multiple-input multiple-output (MIMO) introduces dramatic capacity improvements along with very high beamforming and spatial multiplexing gains. When developing efficient physical…

Information Theory · Computer Science 2023-11-01 Hengtao He , Xianghao Yu , Jun Zhang , Shenghui Song , Khaled B. Letaief

Graph neural networks (GNNs) are a powerful inductive bias for modelling algorithmic reasoning procedures and data structures. Their prowess was mainly demonstrated on tasks featuring Markovian dynamics, where querying any associated data…

Machine Learning · Computer Science 2021-04-28 Heiko Strathmann , Mohammadamin Barekatain , Charles Blundell , Petar Veličković

Graph Neural Networks (GNNs) are models that leverage the graph structure to transmit information between nodes, typically through the message-passing operation. While widely successful, this approach is well known to suffer from the…

Graph neural networks aim to learn representations for graph-structured data and show impressive performance, particularly in node classification. Recently, many methods have studied the representations of GNNs from the perspective of…

Machine Learning · Computer Science 2023-05-30 Jiaqi Sun , Lin Zhang , Guangyi Chen , Kun Zhang , Peng XU , Yujiu Yang

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

Recently, message-passing graph neural networks (MPNNs) have shown potential for solving combinatorial and continuous optimization problems due to their ability to capture variable-constraint interactions. While existing approaches leverage…

Artificial Intelligence · Computer Science 2025-02-05 Chendi Qian , Christopher Morris

The multi-criteria (MC) recommender system, which leverages MC rating information in a wide range of e-commerce areas, is ubiquitous nowadays. Surprisingly, although graph neural networks (GNNs) have been widely applied to develop various…

Social and Information Networks · Computer Science 2023-06-07 Jin-Duk Park , Siqing Li , Xin Cao , Won-Yong Shin

Message Passing Neural Networks (MPNNs) model local relations effectively but struggle to propagate information over long distances. Graph Transformers (GTs) mitigate this via global self-attention, yet their quadratic cost in the number of…

Machine Learning · Computer Science 2025-09-03 Shuo Wang , Ge Cheng , Yun Zhang

Graph Convolutional Networks (GCNs) have gained significant developments in representation learning on graphs. However, current GCNs suffer from two common challenges: 1) GCNs are only effective with shallow structures; stacking multiple…

Machine Learning · Computer Science 2019-12-13 Menghan Wang , Kun Zhang , Gulin Li , Keping Yang , Luo Si

Existing Multi-view Clustering (MVC) methods based on subspace learning focus on consensus representation learning while neglecting the inherent topological structure of data. Despite the integration of Graph Neural Networks (GNNs) into…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Chenping Pei , Fadi Dornaika , Jingjun Bi

Message passing-based graph neural networks (GNNs) have achieved great success in many real-world applications. For a sampled mini-batch of target nodes, the message passing process is divided into two parts: message passing between nodes…

Machine Learning · Computer Science 2025-02-28 Zhihao Shi , Jie Wang , Zhiwei Zhuang , Xize Liang , Bin Li , Feng Wu
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