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Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

机器学习 · 计算机科学 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy

Graph Neural Networks (GNNs) have achieved tremendous success in a variety of real-world applications by relying on the fixed graph data as input. However, the initial input graph might not be optimal in terms of specific downstream tasks,…

机器学习 · 计算机科学 2023-09-22 Beidi Zhao , Boxin Du , Zhe Xu , Liangyue Li , Hanghang Tong

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

机器学习 · 计算机科学 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

Graph Attention Network (GAT) and GraphSAGE are neural network architectures that operate on graph-structured data and have been widely studied for link prediction and node classification. One challenge raised by GraphSAGE is how to smartly…

机器学习 · 计算机科学 2020-06-09 Anderson de Andrade , Chen Liu

Graph convolutional networks (GCNs) have been employed as a kind of significant tool on many graph-based applications recently. Inspired by convolutional neural networks (CNNs), GCNs generate the embeddings of nodes by aggregating the…

机器学习 · 计算机科学 2020-11-20 Tao Huang , Yihan Zhang , Jiajing Wu , Junyuan Fang , Zibin Zheng

Graph neural networks (GNNs) have been regarded as the basic model to facilitate deep learning (DL) to revolutionize resource allocation in wireless networks. GNN-based models are shown to be able to learn the structural information about…

信号处理 · 电气工程与系统科学 2024-09-06 Yang Lu , Yuhang Li , Ruichen Zhang , Wei Chen , Bo Ai , Dusit Niyato

A powerful framework for studying graphs is to consider them as geometric graphs: nodes are randomly sampled from an underlying metric space, and any pair of nodes is connected if their distance is less than a specified neighborhood radius.…

机器学习 · 计算机科学 2022-11-28 Raffaele Paolino , Aleksandar Bojchevski , Stephan Günnemann , Gitta Kutyniok , Ron Levie

Graph Neural Networks (GNNs) are powerful and flexible neural networks that use the naturally sparse connectivity information of the data. GNNs represent this connectivity as sparse matrices, which have lower arithmetic intensity and thus…

机器学习 · 计算机科学 2020-09-04 Alok Tripathy , Katherine Yelick , Aydin Buluc

Graph Neural Networks (GNNs) achieve an impressive performance on structured graphs by recursively updating the representation vector of each node based on its neighbors, during which parameterized transformation matrices should be learned…

机器学习 · 计算机科学 2019-06-14 Pengfei Chen , Weiwen Liu , Chang-Yu Hsieh , Guangyong Chen , Shengyu Zhang

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

机器学习 · 计算机科学 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

Jumping connections enable Graph Convolutional Networks (GCNs) to overcome over-smoothing, while graph sparsification reduces computational demands by selecting a sub-matrix of the graph adjacency matrix during neighborhood aggregation.…

机器学习 · 计算机科学 2025-07-09 Jiawei Sun , Hongkang Li , Meng Wang

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

机器学习 · 计算机科学 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

This paper reviews graph convolutional neural networks (GCNNs) through the lens of edge-variant graph filters. The edge-variant graph filter is a finite order, linear, and local recursion that allows each node, in each iteration, to weigh…

机器学习 · 计算机科学 2019-03-05 Elvin Isufi , Fernando Gama , Alejandro Ribeiro

While Graph Neural Networks (GNNs) are powerful models for learning representations on graphs, most state-of-the-art models do not have significant accuracy gain beyond two to three layers. Deep GNNs fundamentally need to address: 1).…

Graph Neural Networks (GNNs) have been proposed as a tool for learning sparse matrix preconditioners, which are key components in accelerating linear solvers. We present theoretical and empirical evidence that message-passing GNNs are…

机器学习 · 计算机科学 2026-05-26 Vladislav Trifonov , Ekaterina Muravleva , Ivan Oseledets

Graph Neural Networks (GNNs) and their message passing framework that leverages both structural and feature information, have become a standard method for solving graph-based machine learning problems. However, these approaches still…

机器学习 · 计算机科学 2024-11-20 Simon Delarue , Thomas Bonald , Tiphaine Viard

Convolutional neural networks (CNNs) can be applied to graph similarity matching, in which case they are called graph CNNs. Graph CNNs are attracting increasing attention due to their effectiveness and efficiency. However, the existing…

机器学习 · 计算机科学 2017-12-12 Bo Wu , Yang Liu , Bo Lang , Lei Huang

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

机器学习 · 计算机科学 2021-01-07 Kenta Oono , Taiji Suzuki

Federated learning over graph-structured data exposes a fundamental mismatch between standard aggregation mechanisms and the operator nature of graph neural networks (GNNs). While federated optimization treats model parameters as elements…

机器学习 · 计算机科学 2026-03-24 Chethana Prasad Kabgere , Shylaja SS

The neighborhood scope (i.e., number of hops) where graph neural networks (GNNs) aggregate information to characterize a node's statistical property is critical to GNNs' performance. Two-stage approaches, training and validating GNNs for…

机器学习 · 计算机科学 2026-02-16 Paribesh Regmi , Rui Li , Kishan KC