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Graph Neural Networks (GNNs) have become the standard for graph representation learning but remain vulnerable to structural perturbations. We propose a novel framework that integrates persistent homology features with stability…

Machine Learning · Computer Science 2025-12-17 Jelena Losic

Graph Convolutional Networks (GCNs) are specialized neural networks for feature extraction from graph-structured data. In contrast to traditional convolutional networks, GCNs offer distinct advantages when processing irregular data, which…

Quantum Physics · Physics 2025-03-11 Zi Ye , Kai Yu , Song Lin

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graph neural networks (GNN) are powerful models for many graph-structured tasks. Existing models often assume that the complete structure of the graph is available during training. In practice, however, graph-structured data is usually…

Machine Learning · Computer Science 2022-03-29 Chen Wang , Yuheng Qiu , Dasong Gao , Sebastian Scherer

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

We study Graph Convolutional Networks (GCN) from the graph signal processing viewpoint by addressing a difference between learning graph filters with fully connected weights versus trainable polynomial coefficients. We find that by stacking…

Machine Learning · Computer Science 2020-11-24 Hoang NT , Takanori Maehara , Tsuyoshi Murata

Graph convolutional neural networks (GCNNs) have been widely used in graph learning. It has been observed that the smoothness functional on graphs can be defined in terms of the graph Laplacian. This fact points out in the direction of…

Machine Learning · Computer Science 2020-09-30 Asif Salim , Sumitra S

Graph transformer networks (GTN) are a variant of graph convolutional networks (GCN) that are targeted to heterogeneous graphs in which nodes and edges have associated type information that can be exploited to improve inference accuracy.…

Artificial Intelligence · Computer Science 2021-06-17 Loc Hoang , Udit Agarwal , Gurbinder Gill , Roshan Dathathri , Abhik Seal , Brian Martin , Keshav Pingali

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…

Machine Learning · Computer Science 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

This paper explores the applications and challenges of graph neural networks (GNNs) in processing complex graph data brought about by the rapid development of the Internet. Given the heterogeneity and redundancy problems that graph data…

Machine Learning · Computer Science 2024-10-24 Jianjun Wei , Yue Liu , Xin Huang , Xin Zhang , Wenyi Liu , Xu Yan

Graph neural networks (GNNs), consisting of a cascade of layers applying a graph convolution followed by a pointwise nonlinearity, have become a powerful architecture to process signals supported on graphs. Graph convolutions (and thus,…

Machine Learning · Computer Science 2019-10-23 Fernando Gama , Joan Bruna , Alejandro Ribeiro

Homophily principle, \ie{} nodes with the same labels or similar attributes are more likely to be connected, has been commonly believed to be the main reason for the superiority of Graph Neural Networks (GNNs) over traditional Neural…

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

Machine Learning · Computer Science 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

Graph is a flexible and effective tool to represent complex structures in practice and graph neural networks (GNNs) have been shown to be effective on various graph tasks with randomly separated training and testing data. In real…

Machine Learning · Computer Science 2021-10-11 Shengyu Zhang , Kun Kuang , Jiezhong Qiu , Jin Yu , Zhou Zhao , Hongxia Yang , Zhongfei Zhang , Fei Wu

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Spectral Graph Neural Networks (Spectral GNNs) for node classification promise frequency-domain filtering on graphs, yet rest on flawed foundations. Recent work shows that graph Laplacian eigenvectors do not in general have the key…

Machine Learning · Computer Science 2026-03-27 Qin Jiang , Chengjia Wang , Michael Lones , Dongdong Chen , Wei Pang

Scalable graph neural networks (GNNs) have emerged as a promising technique, which exhibits superior predictive performance and high running efficiency across numerous large-scale graph-based web applications. However, (i) Most scalable…

Machine Learning · Computer Science 2024-02-12 Xunkai Li , Jingyuan Ma , Zhengyu Wu , Daohan Su , Wentao Zhang , Rong-Hua Li , Guoren Wang

Improving the scalability of GNNs is critical for large graphs. Existing methods leverage three sampling paradigms including node-wise, layer-wise and subgraph sampling, then design unbiased estimator for scalability. However, the high…

Machine Learning · Computer Science 2022-11-21 Yang Li , Bingbing Xu , Qi Cao , Yige Yuan , Huawei Shen

Graph neural networks (GNNs), in general, are built on the assumption of a static set of features characterizing each node in a graph. This assumption is often violated in practice. Existing methods partly address this issue through feature…

Machine Learning · Computer Science 2023-06-07 Shubham Gupta , Sahil Manchanda , Sayan Ranu , Srikanta Bedathur

Recent years have witnessed fast developments of graph neural networks (GNNs) that have benefited myriad graph analytic tasks and applications. Most GNNs rely on the homophily assumption that nodes belonging to the same class are more…

Machine Learning · Computer Science 2026-04-21 Xin Zheng , Yi Wang , Yixin Liu , Ming Li , Miao Zhang , Di Jin , Philip S. Yu , Shirui Pan