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Convolutional Neural Networks (CNNs) have become the state-of-the-art in supervised learning vision tasks. Their convolutional filters are of paramount importance for they allow to learn patterns while disregarding their locations in input…

Machine Learning · Computer Science 2017-10-26 Jean-Charles Vialatte , Vincent Gripon , Grégoire Mercier

Graph Neural Networks (GNNs) have received a lot of interest in the recent times. From the early spectral architectures that could only operate on undirected graphs per a transductive learning paradigm to the current state of the art…

Machine Learning · Computer Science 2021-05-18 Pushkar Mishra , Aleksandra Piktus , Gerard Goossen , Fabrizio Silvestri

Graph convolutional networks (GCNs) have shown promising results in processing graph data by extracting structure-aware features. This gave rise to extensive work in geometric deep learning, focusing on designing network architectures that…

Machine Learning · Computer Science 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf

Recently, many researchers have been focusing on the definition of neural networks for graphs. The basic component for many of these approaches remains the graph convolution idea proposed almost a decade ago. In this paper, we extend this…

Machine Learning · Computer Science 2018-11-27 Dinh Van Tran , Nicolò Navarin , Alessandro Sperduti

Graph convolutional networks (GCNs) are widely used in graph-based applications such as graph classification and segmentation. However, current GCNs have limitations on implementation such as network architectures due to their irregular…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Yecheng Lyu , Xinming Huang , Ziming Zhang

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

Machine Learning · Computer Science 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro

The Recommender system is a vital information service on today's Internet. Recently, graph neural networks have emerged as the leading approach for recommender systems. We try to review recent literature on graph neural network-based…

Information Retrieval · Computer Science 2023-11-14 Haojun Zhu , Vikram Kapoor , Priya Sharma

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. To elucidate the capabilities and limitations of GCNs, we investigate their power, as a function of their number of layers, to distinguish…

Machine Learning · Statistics 2020-05-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Convolutional Neural Networks(CNNs) has achieved remarkable performance breakthrough in Euclidean structure data. Recently, aggregation-transformation based Graph Neural networks(GNNs) gradually produce a powerful performance on…

Machine Learning · Computer Science 2021-02-05 Jingzhao Hu , Xiaoqi Zhang , Qiaomei Jia , Chen Wang , Qirong Bu , Jun Feng

Recently, graph neural networks have been adopted in a wide variety of applications ranging from relational representations to modeling irregular data domains such as point clouds and social graphs. However, the space of graph neural…

Machine Learning · Computer Science 2018-12-14 Marcel Nassar

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Convolutional neural networks (CNNs), in a few decades, have outperformed the existing state of the art methods in classification context. However, in the way they were formalised, CNNs are bound to operate on euclidean spaces. Indeed,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Chloé Martineau , Romain Raveaux , Donatello Conte , Gilles Venturini

Graph neural networks (GNNs) have emerged as powerful tools for processing relational data in applications. However, GNNs suffer from the problem of oversmoothing, the property that the features of all nodes exponentially converge to the…

Machine Learning · Statistics 2025-05-22 Bastian Epping , Alexandre René , Moritz Helias , Michael T. Schaub

Spectral graph neural networks learn graph filters, but their behavior with increasing depth and polynomial order is not well understood. We analyze these models in the graph Fourier domain, where each layer becomes an element-wise…

Machine Learning · Computer Science 2026-04-02 Vahan A. Martirosyan , Daniele Malitesta , Hugues Talbot , Jhony H. Giraldo , Fragkiskos D. Malliaros

Recent studies on Graph Neural Networks(GNNs) provide both empirical and theoretical evidence supporting their effectiveness in capturing structural patterns on both homophilic and certain heterophilic graphs. Notably, most real-world…

Machine Learning · Computer Science 2023-10-17 Haitao Mao , Zhikai Chen , Wei Jin , Haoyu Han , Yao Ma , Tong Zhao , Neil Shah , Jiliang Tang

The trust in the predictions of Graph Neural Networks is limited by their opaque reasoning process. Prior methods have tried to explain graph networks via concept-based explanations extracted from the latent representations obtained after…

Machine Learning · Computer Science 2026-04-23 Lucie Charlotte Magister , Pietro Lio

Designing spectral convolutional networks is a formidable task in graph learning. In traditional spectral graph neural networks (GNNs), polynomial-based methods are commonly used to design filters via the Laplacian matrix. In practical…

Machine Learning · Computer Science 2024-08-19 Gongpei Zhao , Tao Wang , Yi Jin , Congyan Lang , Yidong Li , Haibin Ling

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Graph Neural Networks (GNNs) have made significant advances on several fundamental inference tasks. As a result, there is a surge of interest in using these models for making potentially important decisions in high-regret applications.…

Machine Learning · Computer Science 2020-02-26 Kaidi Xu , Sijia Liu , Pin-Yu Chen , Mengshu Sun , Caiwen Ding , Bhavya Kailkhura , Xue Lin

Graph convolutional networks are becoming indispensable for deep learning from graph-structured data. Most of the existing graph convolutional networks share two big shortcomings. First, they are essentially low-pass filters, thus the…

Machine Learning · Computer Science 2022-06-23 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Chengqi Zhang
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