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Related papers: From Spectrum Wavelet to Vertex Propagation: Graph…

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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

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…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

Machine Learning · Computer Science 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

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

In recent years, Graph Convolutional Networks (GCNs) and their variants have been widely utilized in learning tasks that involve graphs. These tasks include recommendation systems, node classification, among many others. In node…

Machine Learning · Computer Science 2019-12-23 Mustafa Coskun , Burcu Bakir Gungor , Mehmet Koyuturk

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

We present our ongoing work on understanding the limitations of graph convolutional networks (GCNs) as well as our work on generalizations of graph convolutions for representing more complex node attribute dependencies. Based on an analysis…

Machine Learning · Computer Science 2018-05-07 Mathias Niepert , Alberto Garcia-Duran

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…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

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

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

We propose a generalization of convolutional neural networks (CNNs) to irregular domains, through the use of a translation operator on a graph structure. In regular settings such as images, convolutional layers are designed by translating a…

Discrete Mathematics · Computer Science 2018-11-06 Bastien Pasdeloup , Vincent Gripon , Jean-Charles Vialatte , Dominique Pastor , Pascal Frossard

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

Graph Convolutional Networks (GCNs) have been widely applied in various fields due to their significant power on processing graph-structured data. Typical GCN and its variants work under a homophily assumption (i.e., nodes with same class…

Machine Learning · Computer Science 2021-12-28 Tao Wang , Rui Wang , Di Jin , Dongxiao He , Yuxiao Huang

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

Machine Learning · Computer Science 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

Graph convolutional network (GCN) is an emerging neural network approach. It learns new representation of a node by aggregating feature vectors of all neighbors in the aggregation process without considering whether the neighbors or…

Machine Learning · Computer Science 2022-04-01 Li Zhang , Heda Song , Nikolaos Aletras , Haiping Lu

We study properties of Graph Convolutional Networks (GCNs) by analyzing their behavior on standard models of random graphs, where nodes are represented by random latent variables and edges are drawn according to a similarity kernel. This…

Machine Learning · Statistics 2020-10-26 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

Convolutional neural networks (CNNs) can be applied to graph similarity matching, in which case they are called graph CNNs. Graph CNNs are attracting increasing attention due to their effectiveness and efficiency. However, the existing…

Machine Learning · Computer Science 2017-12-12 Bo Wu , Yang Liu , Bo Lang , Lei Huang

Network representation learning and node classification in graphs got significant attention due to the invent of different types graph neural networks. Graph convolution network (GCN) is a popular semi-supervised technique which aggregates…

Social and Information Networks · Computer Science 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

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…

Machine Learning · Computer Science 2020-07-03 Tomasz Danel , Przemysław Spurek , Jacek Tabor , Marek Śmieja , Łukasz Struski , Agnieszka Słowik , Łukasz Maziarka

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…

Machine Learning · Computer Science 2022-07-13 Matteo Bunino
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