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This paper introduces a novel Laplacian matrix aiming to enable the construction of spectral convolutional networks and to extend the signal processing applications for directed graphs. Our proposal is inspired by a Haar-like transformation…

机器学习 · 计算机科学 2025-10-02 Theodor-Adrian Badea , Bogdan Dumitrescu

Graph Neural Networks (GNNs) have received increasing attention for representation learning in various machine learning tasks. However, most existing GNNs applying neighborhood aggregation usually perform poorly on the graph with…

机器学习 · 计算机科学 2024-10-29 Wei Zhuo , Guang Tan

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

机器学习 · 计算机科学 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

Graph convolutional neural network provides good solutions for node classification and other tasks with non-Euclidean data. There are several graph convolutional models that attempt to develop deep networks but do not cause serious…

机器学习 · 计算机科学 2021-02-22 Jingyi Wang , Zhidong Deng

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 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

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

计算机视觉与模式识别 · 计算机科学 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Graph data often contain noisy and spurious correlations that mask the true causal relationships, which are essential for enabling graph models to make predictions based on the underlying causal structure of the data. Dependence on spurious…

机器学习 · 计算机科学 2026-02-23 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Jianming Yong

Spectral graph convolutional networks (GCNs) are particular deep models which aim at extending neural networks to arbitrary irregular domains. The principle of these networks consists in projecting graph signals using the…

计算机视觉与模式识别 · 计算机科学 2021-12-28 Hichem Sahbi

We propose a novel neural network architecture, called autoencoder-constrained graph convolutional network, to solve node classification task on graph domains. As suggested by its name, the core of this model is a convolutional network…

机器学习 · 计算机科学 2021-02-11 Mingyuan Ma , Sen Na , Hongyu Wang

Convolutional neural networks (CNNs) leverage the great power in representation learning on regular grid data such as image and video. Recently, increasing attention has been paid on generalizing CNNs to graph or network data which is…

社会与信息网络 · 计算机科学 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

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…

机器学习 · 计算机科学 2021-12-28 Tao Wang , Rui Wang , Di Jin , Dongxiao He , Yuxiao Huang

While convolutional neural nets (CNNs) have achieved remarkable performance for a wide range of inverse imaging applications, the filter coefficients are computed in a purely data-driven manner and are not explainable. Inspired by an…

图像与视频处理 · 电气工程与系统科学 2020-02-18 Weng-tai Su , Gene Cheung , Richard Wildes , Chia-Wen Lin

Spherical data is found in many applications. By modeling the discretized sphere as a graph, we can accommodate non-uniformly distributed, partial, and changing samplings. Moreover, graph convolutions are computationally more efficient than…

机器学习 · 计算机科学 2019-04-11 Michaël Defferrard , Nathanaël Perraudin , Tomasz Kacprzak , Raphael Sgier

In recent years, there has been a surge of interest in developing deep learning methods for non-Euclidean structured data such as graphs. In this paper, we propose Dual-Primal Graph CNN, a graph convolutional architecture that alternates…

Convolutional Neural Networks are extremely efficient architectures in image and audio recognition tasks, thanks to their ability to exploit the local translational invariance of signal classes over their domain. In this paper we consider…

机器学习 · 计算机科学 2014-05-22 Joan Bruna , Wojciech Zaremba , Arthur Szlam , Yann LeCun

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

机器学习 · 计算机科学 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

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…

社会与信息网络 · 计算机科学 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

We propose the Lanczos network (LanczosNet), which uses the Lanczos algorithm to construct low rank approximations of the graph Laplacian for graph convolution. Relying on the tridiagonal decomposition of the Lanczos algorithm, we not only…

机器学习 · 计算机科学 2019-10-24 Renjie Liao , Zhizhen Zhao , Raquel Urtasun , Richard S. Zemel

Recently, graph convolutional network (GCN) has been widely used for semi-supervised classification and deep feature representation on graph-structured data. However, existing GCN generally fails to consider the local invariance constraint…

计算机视觉与模式识别 · 计算机科学 2018-09-27 Bo Jiang , Doudou Lin