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Approximation-based spectral graph neural networks, which construct graph filters with function approximation, have shown substantial performance in graph learning tasks. Despite their great success, existing works primarily employ…

Machine Learning · Computer Science 2025-05-21 Guoming Li , Jian Yang , Shangsong Liang

In recent years, significant efforts have been made to refine the design of Graph Neural Network (GNN) layers, aiming to overcome diverse challenges, such as limited expressive power and oversmoothing. Despite their widespread adoption, the…

Machine Learning · Computer Science 2024-11-04 Moshe Eliasof , Beatrice Bevilacqua , Carola-Bibiane Schönlieb , Haggai Maron

To enhance the ability of neural networks to extract local point cloud features and improve their quality, in this paper, we propose a multiscale graph generation method and a self-adaptive graph convolution method. First, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Bo Wu , Bo Lang

Graph representation learning (a.k.a. network embedding) is a significant topic of network analysis, due to its effectiveness to support various graph inference tasks. In this paper, we study the representation learning with multiple…

Social and Information Networks · Computer Science 2023-05-17 Meng Qin

Spectral Graph Neural Networks have demonstrated superior performance in graph representation learning. However, many current methods focus on employing shared polynomial coefficients for all nodes, i.e., learning node-unified filters,…

Machine Learning · Computer Science 2024-07-22 Jiahong Ma , Mingguo He , Zhewei Wei

Graph Convolutional Networks (GCNs) have gained great popularity in tackling various analytics tasks on graph and network data. However, some recent studies raise concerns about whether GCNs can optimally integrate node features and…

Machine Learning · Computer Science 2020-07-14 Xiao Wang , Meiqi Zhu , Deyu Bo , Peng Cui , Chuan Shi , Jian Pei

Our capacity to learn representations from data is related to our ability to design filters that can leverage their coupling with the underlying domain. Graph filters are one such tool for network data and have been used in a myriad of…

Signal Processing · Electrical Eng. & Systems 2022-03-16 Bishwadeep Das , Elvin Isufi

In recent years, spectral graph neural networks, characterized by polynomial filters, have garnered increasing attention and have achieved remarkable performance in tasks such as node classification. These models typically assume that…

Machine Learning · Computer Science 2025-02-25 Kangkang Lu , Yanhua Yu , Hao Fei , Xuan Li , Zixuan Yang , Zirui Guo , Meiyu Liang , Mengran Yin , Tat-Seng Chua

Spectral Graph Neural Networks (SGNNs) have achieved remarkable performance in tasks such as node classification due to their ability to learn flexible filters. Typically, these filters are learned under the supervision of downstream tasks,…

Machine Learning · Computer Science 2025-08-06 Kangkang Lu , Yanhua Yu , Zhiyong Huang , Tat-Seng Chua

Recently, the optimization of polynomial filters within Spectral Graph Neural Networks (GNNs) has emerged as a prominent research focus. Existing spectral GNNs mainly emphasize polynomial properties in filter design, introducing…

Machine Learning · Computer Science 2025-03-25 Haodong Wen , Bodong Du , Ruixun Liu , Deyu Meng , Xiangyong Cao

Attributed graph embedding, which learns vector representations from graph topology and node features, is a challenging task for graph analysis. Recently, methods based on graph convolutional networks (GCNs) have made great progress on this…

Machine Learning · Computer Science 2020-07-06 Ganqu Cui , Jie Zhou , Cheng Yang , Zhiyuan Liu

Graph neural networks (GNNs) have emerged as a powerful tool for modeling graph-structured data. However, existing GNNs often struggle with heterophilic graphs, where connected nodes tend to have dissimilar features or labels. While…

Machine Learning · Computer Science 2026-02-10 Ruizhong Qiu , Ting-Wei Li , Gaotang Li , Hanghang Tong

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

With recent advancements in graph neural networks (GNNs), spectral GNNs have received increasing popularity by virtue of their ability to retrieve graph signals in the spectral domain. These models feature uniqueness in efficient…

Machine Learning · Computer Science 2025-08-21 Ningyi Liao , Haoyu Liu , Zulun Zhu , Siqiang Luo , Laks V. S. Lakshmanan

We consider the problem of designing spectral graph filters for the construction of dictionaries of atoms that can be used to efficiently represent signals residing on weighted graphs. While the filters used in previous spectral graph…

Functional Analysis · Mathematics 2013-11-06 David I Shuman , Christoph Wiesmeyr , Nicki Holighaus , Pierre Vandergheynst

In recent years, pre-training Graph Neural Networks (GNNs) through self-supervised learning on unlabeled graph data has emerged as a widely adopted paradigm in graph learning. Although the paradigm is effective for pre-training powerful GNN…

Machine Learning · Computer Science 2025-10-28 Yuhan Yang , Xingbo Fu , Jundong Li

It has been shown that the effectiveness of graph convolutional network (GCN) for recommendation is attributed to the spectral graph filtering. Most GCN-based methods consist of a graph filter or followed by a low-rank mapping optimized…

Information Retrieval · Computer Science 2024-06-14 Shaowen Peng , Xin Liu , Kazunari Sugiyama , Tsunenori Mine

In many important graph data processing applications the acquired information includes both node features and observations of the graph topology. Graph neural networks (GNNs) are designed to exploit both sources of evidence but they do not…

Machine Learning · Computer Science 2021-10-28 Eli Chien , Jianhao Peng , Pan Li , Olgica Milenkovic

Feature-based image matching has extensive applications in computer vision. Keypoints detected in images can be naturally represented as graph structures, and Graph Neural Networks (GNNs) have been shown to outperform traditional deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Xianfeng Song , Yi Zou , Zheng Shi , Zheng Liu

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by using graph structures based on the relational inductive bias (homophily assumption). While GNNs have been commonly believed to outperform NNs in real-world tasks, recent…

Machine Learning · Computer Science 2022-10-17 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Mingde Zhao , Shuyuan Zhang , Xiao-Wen Chang , Doina Precup