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This paper investigates the relationship between graph convolution and Mixup techniques. Graph convolution in a graph neural network involves aggregating features from neighboring samples to learn representative features for a specific node…

To solve the problem that convolutional neural networks (CNNs) are difficult to process non-grid type relational data like graphs, Kipf et al. proposed a graph convolutional neural network (GCN). The core idea of the GCN is to perform…

Machine Learning · Computer Science 2019-04-17 Shangsheng Xie , Mingming Lu

Geometric deep learning provides a principled and versatile manner for the integration of imaging and non-imaging modalities in the medical domain. Graph Convolutional Networks (GCNs) in particular have been explored on a wide variety of…

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…

Machine Learning · Computer Science 2020-09-29 Indro Spinelli , Simone Scardapane , Aurelio Uncini

Recently, Graph Convolutional Networks (GCNs) have proven to be a powerful mean for Computer Aided Diagnosis (CADx). This approach requires building a population graph to aggregate structural information, where the graph adjacency matrix…

Artificial Intelligence · Computer Science 2021-06-17 Hao Chen , Fuzhen Zhuang , Li Xiao , Ling Ma , Haiyan Liu , Ruifang Zhang , Huiqin Jiang , Qing He

Graph Neural Networks (GNNs) are a class of neural networks designed to extract information from the graphical structure of data. Graph Convolutional Networks (GCNs) are a widely used type of GNN for transductive graph learning problems…

Machine Learning · Computer Science 2022-12-05 Matthew Adiletta , David Brooks , Gu-Yeon Wei

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

In this paper, we study the problem of learning Graph Convolutional Networks (GCNs) for regression. Current architectures of GCNs are limited to the small receptive field of convolution filters and shared transformation matrix for each…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Long Zhao , Xi Peng , Yu Tian , Mubbasir Kapadia , Dimitris N. Metaxas

Graphs have been widely adopted to denote structural connections between entities. The relations are in many cases heterogeneous, but entangled together and denoted merely as a single edge between a pair of nodes. For example, in a social…

Machine Learning · Computer Science 2020-10-13 Yiding Yang , Zunlei Feng , Mingli Song , Xinchao Wang

Graph Neural Networks (GNNs) have demonstrated promising results on exploiting node representations for many downstream tasks through supervised end-to-end training. To deal with the widespread label scarcity issue in real-world…

Machine Learning · Computer Science 2023-08-02 Cheng Wu , Chaokun Wang , Jingcao Xu , Ziyang Liu , Kai Zheng , Xiaowei Wang , Yang Song , Kun Gai

Semi-supervised node classification in attributed graphs, i.e., graphs with node features, involves learning to classify unlabeled nodes given a partially labeled graph. Label predictions are made by jointly modeling the node and its'…

Machine Learning · Computer Science 2018-09-24 Priyesh Vijayan , Yash Chandak , Mitesh M. Khapra , Srinivasan Parthasarathy , Balaraman Ravindran

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

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…

Machine Learning · Computer Science 2019-03-05 Elvin Isufi , Fernando Gama , Alejandro Ribeiro

To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

Machine Learning · Computer Science 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Graphs representation learning has been a very active research area in recent years. The goal of graph representation learning is to generate graph representation vectors that capture the structure and features of large graphs accurately.…

Machine Learning · Computer Science 2022-06-16 Shima Khoshraftar , Aijun An

The spatial convolution layer which is widely used in the Graph Neural Networks (GNNs) aggregates the feature vector of each node with the feature vectors of its neighboring nodes. The GNN is not aware of the locations of the nodes in the…

Machine Learning · Computer Science 2019-10-04 Mostafa Rahmani , Ping Li

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

Prior to the introduction of Graph Neural Networks (GNNs), modeling and analyzing irregular data, particularly graphs, was thought to be the Achilles' heel of deep learning. The core concept of GNNs is to find a representation by…

Machine Learning · Computer Science 2021-09-22 Jieming Zhou , Tong Zhang , Pengfei Fang , Lars Petersson , Mehrtash Harandi

Recent advances in Graph Convolutional Networks (GCNs) have led to state-of-the-art performance on various graph-related tasks. However, most existing GCN models do not explicitly identify whether all the aggregated neighbors are valuable…

Machine Learning · Computer Science 2020-09-08 Hao Chen , Yue Xu , Feiran Huang , Zengde Deng , Wenbing Huang , Senzhang Wang , Peng He , Zhoujun Li

Exploiting the wealth of imaging and non-imaging information for disease prediction tasks requires models capable of representing, at the same time, individual features as well as data associations between subjects from potentially large…