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Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

机器学习 · 统计学 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

The analysis of the brain surface modeled as a graph mesh is a challenging task. Conventional deep learning approaches often rely on data lying in the Euclidean space. As an extension to irregular graphs, convolution operations are defined…

图像与视频处理 · 电气工程与系统科学 2019-11-25 Ran He , Karthik Gopinath , Christian Desrosiers , Herve Lombaert

Graph neural networks (GNNs) face significant challenges with class imbalance, leading to biased inference results. To address this issue in heterogeneous graphs, we propose a novel framework that combines Graph Neural Network (GNN) and…

机器学习 · 计算机科学 2024-11-26 Hung-Chun Hsu , Bo-Jun Wu , Ming-Yi Hong , Che Lin , Chih-Yu Wang

Graph representation learning aim at integrating node contents with graph structure to learn nodes/graph representations. Nevertheless, it is found that many existing graph learning methods do not work well on data with high heterophily…

机器学习 · 计算机科学 2023-10-13 Jincheng Huang , Ping Li , Rui Huang , Chen Na , Acong Zhang

In recent years, graph neural networks (GNNs) have emerged as a successful tool in a variety of graph-related applications. However, the performance of GNNs can be deteriorated when noisy connections occur in the original graph structures;…

机器学习 · 计算机科学 2022-01-19 Yixin Liu , Yu Zheng , Daokun Zhang , Hongxu Chen , Hao Peng , Shirui Pan

Choosing appropriate hyperparameters plays a crucial role in the success of neural networks as hyper-parameters directly control the behavior and performance of the training algorithms. To obtain efficient tuning, Bayesian optimization…

机器学习 · 统计学 2024-02-08 Jiazhao Zhang , Ying Hung , Chung-Ching Lin , Zicheng Liu

Graph anomaly detection technology has broad applications in financial fraud and risk control. However, existing graph anomaly detection methods often face significant challenges when dealing with complex and variable abnormal patterns, as…

机器学习 · 计算机科学 2025-12-30 Qingyue Cao , Bo Jin , Changwei Gong , Xin Tong , Wenzheng Li , Xiaodong Zhou

In mathematical optimization, second-order Newton's methods generally converge faster than first-order methods, but they require the inverse of the Hessian, hence are computationally expensive. However, we discover that on sparse graphs,…

机器学习 · 计算机科学 2022-05-30 Nima Dehmamy , Csaba Both , Jianzhi Long , Rose Yu

Graph Structure Learning (GSL) has recently garnered considerable attention due to its ability to optimize both the parameters of Graph Neural Networks (GNNs) and the computation graph structure simultaneously. Despite the proliferation of…

In recent years, graph neural networks (GNNs) have facilitated the development of graph data mining. However, training GNNs requires sufficient labeled task-specific data, which is expensive and sometimes unavailable. To be less dependent…

机器学习 · 计算机科学 2025-10-15 Shengyin Sun , Chen Ma , Jiehao Chen

Statistical inference on graphs often proceeds via spectral methods involving low-dimensional embeddings of matrix-valued graph representations, such as the graph Laplacian or adjacency matrix. In this paper, we analyze the asymptotic…

统计理论 · 数学 2018-08-16 Joshua Cape , Minh Tang , Carey E. Priebe

We study the problem of learning equivariant neural networks via gradient descent. The incorporation of known symmetries ("equivariance") into neural nets has empirically improved the performance of learning pipelines, in domains ranging…

机器学习 · 计算机科学 2024-01-04 Bobak T. Kiani , Thien Le , Hannah Lawrence , Stefanie Jegelka , Melanie Weber

Recently, Graph Convolutional Network (GCN) has been widely used in Hyperspectral Image (HSI) classification due to its satisfactory performance. However, the number of labeled pixels is very limited in HSI, and thus the available…

计算机视觉与模式识别 · 计算机科学 2023-05-03 Wentao Yu , Sheng Wan , Guangyu Li , Jian Yang , Chen Gong

Graph Contrastive Learning (GCL) has emerged as the foremost approach for self-supervised learning on graph-structured data. GCL reduces reliance on labeled data by learning robust representations from various augmented views. However,…

机器学习 · 计算机科学 2025-02-20 Ruyue Liu , Rong Yin , Yong Liu , Xiaoshuai Hao , Haichao Shi , Can Ma , Weiping Wang

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…

机器学习 · 计算机科学 2024-10-24 Jianjun Wei , Yue Liu , Xin Huang , Xin Zhang , Wenyi Liu , Xu Yan

Graph Neural Networks (GNNs) are powerful deep learning models to generate node embeddings on graphs. When applying deep GNNs on large graphs, it is still challenging to perform training in an efficient and scalable way. We propose a novel…

机器学习 · 计算机科学 2020-10-08 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

Graph neural networks (GNNs) have been used to tackle the few-shot learning (FSL) problem and shown great potentials under the transductive setting. However under the inductive setting, existing GNN based methods are less competitive. This…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Tianyuan Yu , Sen He , Yi-Zhe Song , Tao Xiang

Graph Neural Networks (GNNs) have gained significant attention in recent years due to their ability to learn representations of graph-structured data. Two common methods for training GNNs are mini-batch training and full-graph training.…

机器学习 · 计算机科学 2024-12-24 Saurabh Bajaj , Hojae Son , Juelin Liu , Hui Guan , Marco Serafini

Many representative graph neural networks, e.g., GPR-GNN and ChebNet, approximate graph convolutions with graph spectral filters. However, existing work either applies predefined filter weights or learns them without necessary constraints,…

机器学习 · 计算机科学 2022-02-07 Mingguo He , Zhewei Wei , Zengfeng Huang , Hongteng Xu

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
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