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Graph Convolutional Networks (GCNs) have been widely used due to their outstanding performance in processing graph-structured data. However, the undirected graphs limit their application scope. In this paper, we extend spectral-based graph…

机器学习 · 计算机科学 2020-04-30 Zekun Tong , Yuxuan Liang , Changsheng Sun , David S. Rosenblum , Andrew Lim

Graph Convolutional Networks (GCNs) are specialized neural networks for feature extraction from graph-structured data. In contrast to traditional convolutional networks, GCNs offer distinct advantages when processing irregular data, which…

量子物理 · 物理学 2025-03-11 Zi Ye , Kai Yu , Song Lin

Spectral graph convolutional networks (GCNs) are particular deep models which aim at extending neural networks to arbitrary irregular domains. The principle of these networks consists in projecting graph signals using the…

计算机视觉与模式识别 · 计算机科学 2021-12-28 Hichem Sahbi

Graph Convolutional Networks (GCNs) have recently become the primary choice for learning from graph-structured data, superseding hash fingerprints in representing chemical compounds. However, GCNs lack the ability to take into account the…

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing convolutional operations to arbitrary non-regular domains. In particular, GCNs operating on spatial domains show superior performances compared to…

计算机视觉与模式识别 · 计算机科学 2021-12-08 Hichem Sahbi

Graph convolutional networks (GCNs) are powerful tools for graph-structured data. However, they have been recently shown to be vulnerable to topological attacks. To enhance adversarial robustness, we go beyond spectral graph theory to…

机器学习 · 计算机科学 2021-09-22 Ming Jin , Heng Chang , Wenwu Zhu , Somayeh Sojoudi

In recent years, Graph Neural Networks (GNNs) have made significant advances in processing structured data. However, most of them primarily adopted a model-centric approach, which simplifies graphs by converting them into undirected formats…

机器学习 · 计算机科学 2024-12-12 Henan Sun , Xunkai Li , Daohan Su , Junyi Han , Rong-Hua Li , Guoren Wang

Graph convolutional networks (GCNs) have achieved great success in dealing with data of non-Euclidean structures. Their success directly attributes to fitting graph structures effectively to data such as in social media and knowledge…

计算机视觉与模式识别 · 计算机科学 2021-05-24 Boyan Xu , Hujun Yin

Graph neural networks have developed by leaps and bounds in recent years due to the restriction of traditional convolutional filters on non-Euclidean structured data. Spectral graph theory mainly studies fundamental graph properties using…

谱理论 · 数学 2023-09-08 Xinye Chen

Graph neural networks (GNNs) have attracted considerable attention from the research community. It is well established that GNNs are usually roughly divided into spatial and spectral methods. Despite that spectral GNNs play an important…

机器学习 · 计算机科学 2023-02-14 Deyu Bo , Xiao Wang , Yang Liu , Yuan Fang , Yawen Li , Chuan Shi

Convolutional Neural Network (CNN) has demonstrated impressive ability to represent hyperspectral images and to achieve promising results in hyperspectral image classification. However, traditional CNN models can only operate convolution on…

图像与视频处理 · 电气工程与系统科学 2019-05-16 Sheng Wan , Chen Gong , Ping Zhong , Bo Du , Lefei Zhang , Jian Yang

Graph convolutional networks (GCNs) and its variants are designed for unsigned graphs containing only positive links. Many existing GCNs have been derived from the spectral domain analysis of signals lying over (unsigned) graphs and in each…

机器学习 · 计算机科学 2022-08-16 Rahul Singh , Yongxin Chen

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

机器学习 · 统计学 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

计算机视觉与模式识别 · 计算机科学 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

机器学习 · 计算机科学 2017-08-17 Ruoyu Li , Junzhou Huang

Over the last few years, we have witnessed the availability of an increasing data generated from non-Euclidean domains, which are usually represented as graphs with complex relationships, and Graph Neural Networks (GNN) have gained a high…

机器学习 · 计算机科学 2023-08-15 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Deep learning on graphs and in particular, graph convolutional neural networks, have recently attracted significant attention in the machine learning community. Many of such techniques explore the analogy between the graph Laplacian…

机器学习 · 计算机科学 2018-02-07 Federico Monti , Karl Otness , Michael M. Bronstein

Graph Neural Networks (GNNs) are the subject of intense focus by the machine learning community for problems involving relational reasoning. GNNs can be broadly divided into spatial and spectral approaches. Spatial approaches use a form of…

机器学习 · 统计学 2021-01-05 Kimberly Stachenfeld , Jonathan Godwin , Peter Battaglia

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

机器学习 · 统计学 2018-08-24 Matthew Baron

Graph Convolutional Networks (GCNs) have been shown to be a powerful concept that has been successfully applied to a large variety of tasks across many domains over the past years. In this work we study the theory that paved the way to the…

机器学习 · 计算机科学 2022-07-13 Matteo Bunino
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