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Graph Neural Networks (GNNs) play a pivotal role in graph-based tasks for their proficiency in representation learning. Among the various GNN methods, spectral GNNs employing polynomial filters have shown promising performance on tasks…

Machine Learning · Computer Science 2025-01-09 Haipeng Ding , Zhewei Wei , Yuhang Ye

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) have achieved impressive performance when testing and training graph data come from identical distribution. However, existing GNNs lack out-of-distribution generalization abilities so that their performance…

Machine Learning · Computer Science 2021-12-15 Haoyang Li , Xin Wang , Ziwei Zhang , Wenwu Zhu

Graph neural networks (GNNs) have been demonstrated to perform well in graph representation learning, but always lacking in generalization capability when tackling out-of-distribution (OOD) data. Graph invariant learning methods, backed by…

Machine Learning · Computer Science 2023-12-19 Tianrui Jia , Haoyang Li , Cheng Yang , Tao Tao , Chuan Shi

Graph Neural Networks (GNNs) are highly vulnerable to adversarial perturbations in both topology and features, making the learning of robust representations a critical challenge. In this work, we bridge GNNs with control theory to introduce…

Machine Learning · Computer Science 2026-03-16 Haoyu Chu , Xiaotong Chen , Wei Zhou , Wenjun Cui , Kai Zhao , Shikui Wei , Qiyu Kang

Graph convolutional networks (GCNs) have achieved remarkable learning ability for dealing with various graph structural data recently. In general, deep GCNs do not work well since graph convolution in conventional GCNs is a special form of…

Machine Learning · Computer Science 2021-12-08 Zhilong Xiong , Jia Cai

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 representation learning methods are highly effective in handling complex non-Euclidean data by capturing intricate relationships and features within graph structures. However, traditional methods face challenges when dealing with…

Machine Learning · Computer Science 2025-02-25 Hang Gao , Chenhao Zhang , Fengge Wu , Junsuo Zhao , Changwen Zheng , Huaping Liu

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…

Social and Information Networks · Computer Science 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

Incorporating spectral information to enhance Graph Neural Networks (GNNs) has shown promising results but raises a fundamental challenge due to the inherent ambiguity of eigenvectors. Various architectures have been proposed to address…

Machine Learning · Computer Science 2024-06-07 Bohang Zhang , Lingxiao Zhao , Haggai Maron

Graphical models capture relations between entities in a wide range of applications including social networks, biology, and natural language processing, among others. Graph neural networks (GNN) are neural models that operate over graphs,…

Machine Learning · Computer Science 2024-02-08 Xu Zheng , Farhad Shirani , Tianchun Wang , Shouwei Gao , Wenqian Dong , Wei Cheng , Dongsheng Luo

Training a Convolutional Neural Network (CNN) to be robust against rotation has mostly been done with data augmentation. In this paper, another progressive vision of research direction is highlighted to encourage less dependence on data…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Sungwon Hwang , Hyungtae Lim , Hyun Myung

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

Graph convolutional networks (GCNs) are powerful tools for graph-structured data. However, they have been recently shown to be vulnerable to topological attacks. To enhance adversarial robustness, we go beyond spectral graph theory to…

Machine Learning · Computer Science 2021-09-22 Ming Jin , Heng Chang , Wenwu Zhu , Somayeh Sojoudi

Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised classification on graph-based datasets. We propose a new GCN variant whose three-part filter space is targeted at dense graphs. Examples include…

Machine Learning · Computer Science 2021-01-29 Dominik Alfke , Martin Stoll

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

This paper introduces a new model to learn graph neural networks equivariant to rotations, translations, reflections and permutations called E(n)-Equivariant Graph Neural Networks (EGNNs). In contrast with existing methods, our work does…

Machine Learning · Computer Science 2022-02-17 Victor Garcia Satorras , Emiel Hoogeboom , Max Welling

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

Graph convolutional network (GCN) is an emerging neural network approach. It learns new representation of a node by aggregating feature vectors of all neighbors in the aggregation process without considering whether the neighbors or…

Machine Learning · Computer Science 2022-04-01 Li Zhang , Heda Song , Nikolaos Aletras , Haiping Lu

We present LaplaceGNN, a novel self-supervised graph learning framework that bypasses the need for negative sampling by leveraging spectral bootstrapping techniques. Our method integrates Laplacian-based signals into the learning process,…

Machine Learning · Computer Science 2025-06-26 Lorenzo Bini , Stephane Marchand-Maillet
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