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Designing spectral convolutional networks is a challenging problem in graph learning. ChebNet, one of the early attempts, approximates the spectral graph convolutions using Chebyshev polynomials. GCN simplifies ChebNet by utilizing only the…

Machine Learning · Computer Science 2024-03-13 Mingguo He , Zhewei Wei , Ji-Rong Wen

Graph convolutional network (GCN) has become popular in various natural language processing (NLP) tasks with its superiority in long-term and non-consecutive word interactions. However, existing single-hop graph reasoning in GCN may miss…

Computation and Language · Computer Science 2021-06-10 Shuoran Jiang , Qingcai Chen , Xin Liu , Baotian Hu , Lisai Zhang

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…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Hichem Sahbi

Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

Machine Learning · Statistics 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Graph convolutional neural networks (GCNs) generalize tradition convolutional neural networks (CNNs) from low-dimensional regular graphs (e.g., image) to high dimensional irregular graphs (e.g., text documents on word embeddings). Due to…

Machine Learning · Computer Science 2021-03-30 Mehrnaz Najafi , Philip S. Yu

Reconstructing time-varying graph signals (or graph time-series imputation) is a critical problem in machine learning and signal processing with broad applications, ranging from missing data imputation in sensor networks to time-series…

Machine Learning · Computer Science 2024-04-04 Jhon A. Castro-Correa , Jhony H. Giraldo , Mohsen Badiey , Fragkiskos D. Malliaros

Graph Neural Networks (GNNs) are a promising deep learning approach for circumventing many real-world problems on graph-structured data. However, these models usually have at least one of four fundamental limitations: over-smoothing,…

Machine Learning · Computer Science 2022-10-03 Xun Liu , Alex Hay-Man Ng , Fangyuan Lei , Yikuan Zhang , Zhengmin Li

This paper aims to provide a novel design of a multiscale framelet convolution for spectral graph neural networks (GNNs). While current spectral methods excel in various graph learning tasks, they often lack the flexibility to adapt to…

Machine Learning · Computer Science 2024-07-30 Mengxi Yang , Dai Shi , Xuebin Zheng , Jie Yin , Junbin Gao

Extracting stimulus features from neuronal ensembles is of great interest to the development of neuroprosthetics that project sensory information directly to the brain via electrical stimulation. Machine learning strategies that optimize…

Neurons and Cognition · Quantitative Biology 2020-09-08 Vivek Subramanian , Joshua Khani

To read the final version please go to IEEE TGRS on IEEE Xplore. Convolutional neural networks (CNNs) have been attracting increasing attention in hyperspectral (HS) image classification, owing to their ability to capture spatial-spectral…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Danfeng Hong , Lianru Gao , Jing Yao , Bing Zhang , Antonio Plaza , Jocelyn Chanussot

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Graph-structured data such as social networks, functional brain networks, gene regulatory networks, communications networks have brought the interest in generalizing deep learning techniques to graph domains. In this paper, we are…

Machine Learning · Computer Science 2018-04-25 Xavier Bresson , Thomas Laurent

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 Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Semi-supervised learning on graph structured data has received significant attention with the recent introduction of Graph Convolution Networks (GCN). While traditional methods have focused on optimizing a loss augmented with Laplacian…

Machine Learning · Computer Science 2019-01-04 Prateek Yadav , Madhav Nimishakavi , Naganand Yadati , Shikhar Vashishth , Arun Rajkumar , Partha Talukdar

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

Dynamic graphs arise in a plethora of practical scenarios such as social networks, communication networks, and financial transaction networks. Given a dynamic graph, it is fundamental and essential to learn a graph representation that is…

Machine Learning · Computer Science 2021-06-15 Menglin Yang , Ziqiao Meng , Irwin King

Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

Machine Learning · Computer Science 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi
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