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This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

The prevalence of graph-based data has spurred the rapid development of graph neural networks (GNNs) and related machine learning algorithms. Yet, despite the many datasets naturally modeled as directed graphs, including citation, website,…

Machine Learning · Computer Science 2021-06-14 Xitong Zhang , Yixuan He , Nathan Brugnone , Michael Perlmutter , Matthew Hirn

Spectral Graph Convolutional Networks (spectral GCNNs), a powerful tool for analyzing and processing graph data, typically apply frequency filtering via Fourier transform to obtain representations with selective information. Although…

Machine Learning · Computer Science 2023-05-04 Lequan Lin , Junbin Gao

Graph convolutional networks(GCNs) have become the most popular approaches for graph data in these days because of their powerful ability to extract features from graph. GCNs approaches are divided into two categories, spectral-based and…

Machine Learning · Computer Science 2019-07-23 Yi Ma , Jianye Hao , Yaodong Yang , Han Li , Junqi Jin , Guangyong Chen

Many real-world problems can be represented as graph-based learning problems. In this paper, we propose a novel framework for learning spatial and attentional convolution neural networks on arbitrary graphs. Different from previous…

Machine Learning · Computer Science 2019-02-26 Hao Peng , Jianxin Li , Qiran Gong , Senzhang Wang , Yuanxing Ning , Philip S. Yu

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…

Machine Learning · Computer Science 2020-04-30 Zekun Tong , Yuxuan Liang , Changsheng Sun , David S. Rosenblum , Andrew Lim

We consider the explanation problem of Graph Neural Networks (GNNs). Most existing GNN explanation methods identify the most important edges or nodes but fail to consider substructures, which are more important for graph data. The only…

Machine Learning · Computer Science 2023-02-28 Zhaoning Yu , Hongyang Gao

Within the graph learning community, conventional wisdom dictates that spectral convolutional networks may only be deployed on undirected graphs: Only there could the existence of a well-defined graph Fourier transform be guaranteed, so…

Machine Learning · Computer Science 2023-11-13 Christian Koke , Daniel Cremers

Following the success of deep convolutional networks in various vision and speech related tasks, researchers have started investigating generalizations of the well-known technique for graph-structured data. A recently-proposed method called…

Social and Information Networks · Computer Science 2018-09-21 John Boaz Lee , Ryan A. Rossi , Xiangnan Kong , Sungchul Kim , Eunyee Koh , Anup Rao

Our proposed framework attempts to break the trade-off between performance and explainability by introducing an explainable-by-design convolutional neural network (CNN) based on the lateral inhibition mechanism. The ExplaiNet model consists…

Machine Learning · Computer Science 2024-11-04 Pantelis I. Kaplanoglou , Konstantinos Diamantaras

We present graph wavelet neural network (GWNN), a novel graph convolutional neural network (CNN), leveraging graph wavelet transform to address the shortcomings of previous spectral graph CNN methods that depend on graph Fourier transform.…

Machine Learning · Computer Science 2019-04-17 Bingbing Xu , Huawei Shen , Qi Cao , Yunqi Qiu , Xueqi Cheng

Numerous important problems can be framed as learning from graph data. We propose a framework for learning convolutional neural networks for arbitrary graphs. These graphs may be undirected, directed, and with both discrete and continuous…

Machine Learning · Computer Science 2016-06-09 Mathias Niepert , Mohamed Ahmed , Konstantin Kutzkov

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…

Spectral Theory · Mathematics 2023-09-08 Xinye Chen

Pre-training Graph Neural Networks (GNN) via self-supervised contrastive learning has recently drawn lots of attention. However, most existing works focus on node-level contrastive learning, which cannot capture global graph structure. The…

Machine Learning · Computer Science 2021-04-19 Shichang Zhang , Ziniu Hu , Arjun Subramonian , Yizhou Sun

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…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Boyan Xu , Hujun Yin

We develop a novel convolutional architecture tailored for learning from data defined over directed acyclic graphs (DAGs). DAGs can be used to model causal relationships among variables, but their nilpotent adjacency matrices pose unique…

Machine Learning · Computer Science 2024-05-07 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

In this paper, we consider an inverse problem in graph learning domain -- ``given the graph representations smoothed by Graph Convolutional Network (GCN), how can we reconstruct the input graph signal?" We propose Graph Deconvolutional…

Machine Learning · Computer Science 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

The lack of anisotropic kernels in graph neural networks (GNNs) strongly limits their expressiveness, contributing to well-known issues such as over-smoothing. To overcome this limitation, we propose the first globally consistent…

Machine Learning · Computer Science 2021-04-09 Dominique Beaini , Saro Passaro , Vincent Létourneau , William L. Hamilton , Gabriele Corso , Pietro Liò

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

In view of the huge success of convolution neural networks (CNN) for image classification and object recognition, there have been attempts to generalize the method to general graph-structured data. One major direction is based on spectral…

Machine Learning · Computer Science 2020-03-09 Feng Ji , Jielong Yang , Qiang Zhang , Wee Peng Tay
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