Graph neural networks with convolutional arma filters

FM Bianchi, D Grattarola, L Livi… - IEEE transactions on …, 2021 - ieeexplore.ieee.org
Popular graph neural networks implement convolution operations on graphs based on
polynomial spectral filters. In this paper, we propose a novel graph convolutional layer …

Adagnn: Graph neural networks with adaptive frequency response filter

Y Dong, K Ding, B Jalaian, S Ji, J Li - Proceedings of the 30th ACM …, 2021 - dl.acm.org
Graph Neural Networks have recently become a prevailing paradigm for various high-impact
graph analytical problems. Existing efforts can be mainly categorized as spectral-based and …

Bernnet: Learning arbitrary graph spectral filters via bernstein approximation

M He, Z Wei, H Xu - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Many representative graph neural networks, $ eg $, GPR-GNN and ChebNet, approximate
graph convolutions with graph spectral filters. However, existing work either applies …

Graph filters for signal processing and machine learning on graphs

E Isufi, F Gama, DI Shuman… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Filters are fundamental in extracting information from data. For time series and image data
that reside on Euclidean domains, filters are the crux of many signal processing and …

Topology adaptive graph convolutional networks

J Du, S Zhang, G Wu, JMF Moura, S Kar - arXiv preprint arXiv:1710.10370, 2017 - arxiv.org
Spectral graph convolutional neural networks (CNNs) require approximation to the
convolution to alleviate the computational complexity, resulting in performance loss. This …

On filter size in graph convolutional networks

DV Tran, N Navarin, A Sperduti - 2018 ieee symposium series …, 2018 - ieeexplore.ieee.org
Recently, many researchers have been focusing on the definition of neural networks for
graphs. The basic component for many of these approaches remains the graph convolution …

Adaptive graph convolutional neural networks

R Li, S Wang, F Zhu, J Huang - Proceedings of the AAAI conference on …, 2018 - ojs.aaai.org
Abstract Graph Convolutional Neural Networks (Graph CNNs) are generalizations of
classical CNNs to handle graph data such as molecular data, point could and social …

Graphs, convolutions, and neural networks: From graph filters to graph neural networks

F Gama, E Isufi, G Leus… - IEEE Signal Processing …, 2020 - ieeexplore.ieee.org
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 …

Bridging the gap between spectral and spatial domains in graph neural networks

M Balcilar, G Renton, P Héroux, B Gauzere… - arXiv preprint arXiv …, 2020 - arxiv.org
This paper aims at revisiting Graph Convolutional Neural Networks by bridging the gap
between spectral and spatial design of graph convolutions. We theoretically demonstrate …

Cayleynets: Graph convolutional neural networks with complex rational spectral filters

R Levie, F Monti, X Bresson… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The rise of graph-structured data such as social networks, regulatory networks, citation
graphs, and functional brain networks, in combination with resounding success of deep …