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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

Recently, Graph Convolutional Networks (GCNs) and their variants have been receiving many research interests for learning graph-related tasks. While the GCNs have been successfully applied to this problem, some caveats inherited from…

机器学习 · 计算机科学 2019-11-11 Mustafa Coskun

This paper aims at studying the sample complexity of graph convolutional networks (GCNs), by providing tight upper bounds of Rademacher complexity for GCN models with a single hidden layer. Under regularity conditions, theses derived…

机器学习 · 统计学 2021-02-23 Shaogao Lv

Graph Convolutional Networks (GCNs) have emerged as powerful tools for learning on network structured data. Although empirically successful, GCNs exhibit certain behaviour that has no rigorous explanation -- for instance, the performance of…

机器学习 · 计算机科学 2023-11-07 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Traditional convolutional neural networks are limited to handling Euclidean space data, overlooking the vast realm of real-life scenarios represented as graph data, including transportation networks, social networks, and reference networks.…

机器学习 · 计算机科学 2023-07-04 Xingyu Liu , Juan Chen , Quan Wen

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been…

机器学习 · 计算机科学 2023-12-12 Hongkang Li , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

Graph neural networks (GNNs) have achieved remarkable success in processing graph-structured data across various applications. A critical aspect of real-world graphs is their dynamic nature, where new nodes are continually added and…

机器学习 · 计算机科学 2025-09-09 Huayi Tang , Yong Liu

Graph Convolutional Networks (GCNs) have been widely demonstrated their powerful ability in graph data representation and learning. Existing graph convolution layers are mainly designed based on graph signal processing and transform aspect…

计算机视觉与模式识别 · 计算机科学 2022-04-27 Ziyan Zhang , Bo Jiang , Bin Luo

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

机器学习 · 计算机科学 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Graph Convolutional Networks (GCNs) have become a crucial tool on learning representations of graph vertices. The main challenge of adapting GCNs on large-scale graphs is the scalability issue that it incurs heavy cost both in computation…

计算机视觉与模式识别 · 计算机科学 2018-11-20 Wenbing Huang , Tong Zhang , Yu Rong , Junzhou Huang

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

机器学习 · 计算机科学 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Two architectures that generalize convolutional neural networks (CNNs) for the processing of signals supported on graphs are introduced. We start with the selection graph neural network (GNN), which replaces linear time invariant filters…

信号处理 · 电气工程与系统科学 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

Graph convolutional neural networks (GCNN) have numerous applications in different graph based learning tasks. Although the techniques obtain impressive results, they often fall short in accounting for the uncertainty associated with the…

机器学习 · 计算机科学 2019-11-13 Soumyasundar Pal , Florence Regol , Mark Coates

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

We propose Graph Tree Networks (GTNets), a deep graph learning architecture with a new general message passing scheme that originates from the tree representation of graphs. In the tree representation, messages propagate upward from the…

机器学习 · 计算机科学 2022-04-28 Nan Wu , Chaofan Wang

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent important development is graph convolutional networks (GCNs), which nicely integrate local…

机器学习 · 计算机科学 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

Graph neural networks (GNNs) have achieved superior performance on node classification tasks in the last few years. Commonly, this is framed in a transductive semi-supervised learning setup wherein the entire graph, including the target…

机器学习 · 计算机科学 2021-10-11 Artun Bayer , Arindam Chowdhury , Santiago Segarra

Graph convolutional networks (GCNs) are a family of neural network models that perform inference on graph data by interleaving vertex-wise operations and message-passing exchanges across nodes. Concerning the latter, two key questions…

机器学习 · 计算机科学 2020-09-29 Indro Spinelli , Simone Scardapane , Aurelio Uncini

Spectral-based graph neural networks (SGNNs) have been attracting increasing attention in graph representation learning. However, existing SGNNs are limited in implementing graph filters with rigid transforms (e.g., graph Fourier or…

机器学习 · 计算机科学 2022-01-05 Mingxing Xu , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong , Pascal Frossard

Graph neural networks are emerging as continuation of deep learning success w.r.t. graph data. Tens of different graph neural network variants have been proposed, most following a neighborhood aggregation scheme, where the node features are…

机器学习 · 计算机科学 2021-02-09 Dawei Leng , Jinjiang Guo , Lurong Pan , Jie Li , Xinyu Wang