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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.…

无序系统与神经网络 · 物理学 2026-02-23 O. Duranthon , L. Zdeborová

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…

Graph Neural Networks (GNNs) have achieved significant success in addressing node classification tasks. However, the effectiveness of traditional GNNs degrades on heterophilic graphs, where connected nodes often belong to different labels…

机器学习 · 计算机科学 2025-11-11 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

Recently, Graph Convolutional Networks (GCNs) have proven to be a powerful mean for Computer Aided Diagnosis (CADx). This approach requires building a population graph to aggregate structural information, where the graph adjacency matrix…

人工智能 · 计算机科学 2021-06-17 Hao Chen , Fuzhen Zhuang , Li Xiao , Ling Ma , Haiyan Liu , Ruifang Zhang , Huiqin Jiang , Qing He

Graph Convolutional Networks (GCNs) have been drawing significant attention with the power of representation learning on graphs. Unlike Convolutional Neural Networks (CNNs), which are able to take advantage of stacking very deep layers,…

机器学习 · 计算机科学 2020-06-16 Guohao Li , Chenxin Xiong , Ali Thabet , Bernard Ghanem

The performance of graph neural nets (GNNs) is known to gradually decrease with increasing number of layers. This decay is partly attributed to oversmoothing, where repeated graph convolutions eventually make node embeddings…

机器学习 · 计算机科学 2020-02-14 Lingxiao Zhao , Leman Akoglu

This paper reviews graph convolutional neural networks (GCNNs) through the lens of edge-variant graph filters. The edge-variant graph filter is a finite order, linear, and local recursion that allows each node, in each iteration, to weigh…

机器学习 · 计算机科学 2019-03-05 Elvin Isufi , Fernando Gama , Alejandro Ribeiro

Graph neural network (GNN) models are increasingly being used for the classification of electroencephalography (EEG) data. However, GNN-based diagnosis of neurological disorders, such as Alzheimer's disease (AD), remains a relatively…

神经元与认知 · 定量生物学 2023-12-21 Dominik Klepl , Fei He , Min Wu , Daniel J. Blackburn , Ptolemaios G. Sarrigiannis

Increasing the depth of GCN, which is expected to permit more expressivity, is shown to incur performance detriment especially on node classification. The main cause of this lies in over-smoothing. The over-smoothing issue drives the output…

机器学习 · 计算机科学 2022-07-12 Wenbing Huang , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Devising augmentations for graph contrastive learning is challenging due to their irregular structure, drastic distribution shifts, and nonequivalent feature spaces across datasets. We introduce LG2AR, Learning Graph Augmentations to Learn…

机器学习 · 计算机科学 2022-01-25 Kaveh Hassani , Amir Hosein Khasahmadi

Unsupervised domain adaptation (UDA) has shown remarkable results in bearing fault diagnosis under changing working conditions in recent years. However, most UDA methods do not consider the geometric structure of the data. Furthermore, the…

系统与控制 · 电气工程与系统科学 2021-12-14 Mohammadreza Ghorvei , Mohammadreza Kavianpour , Mohammad TH Beheshti , Amin Ramezani

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

Graph convolutional networks (GCNs) have achieved promising performance on various graph-based tasks. However they suffer from over-smoothing when stacking more layers. In this paper, we present a quantitative study on this observation and…

机器学习 · 计算机科学 2020-09-28 Hongwei Zhang , Tijin Yan , Zenjun Xie , Yuanqing Xia , Yuan Zhang

Graph Convolutional Network (GCN) has been widely applied in transportation demand prediction due to its excellent ability to capture non-Euclidean spatial dependence among station-level or regional transportation demands. However, in most…

机器学习 · 计算机科学 2020-12-16 Junchen Ye , Leilei Sun , Bowen Du , Yanjie Fu , Hui Xiong

Graph Transformers (GTs) have emerged as a promising graph learning tool, leveraging their all-pair connected property to effectively capture global information. To address the over-smoothing problem in deep GNNs, global attention was…

机器学习 · 计算机科学 2025-12-17 Chaohao Yuan , Zhenjie Song , Ercan Engin Kuruoglu , Kangfei Zhao , Yang Liu , Deli Zhao , Hong Cheng , Yu Rong

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

In this paper, we study the factors that contribute to the effect of oversmoothing in deep Graph Neural Networks (GNNs). Specifically, our analysis is based on a new metric (Mean Average Squared Distance - $MASED$) to quantify the extent of…

机器学习 · 计算机科学 2025-10-08 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

机器学习 · 计算机科学 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

Graph convolutional networks learn effective node embeddings that have proven to be useful in achieving high-accuracy prediction results in semi-supervised learning tasks, such as node classification. However, these networks suffer from the…

机器学习 · 计算机科学 2020-10-21 Mahsa Mesgaran , A. Ben Hamza

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