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This paper aims to provide a novel design of a multiscale framelet convolution for spectral graph neural networks (GNNs). While current spectral methods excel in various graph learning tasks, they often lack the flexibility to adapt to…

Machine Learning · Computer Science 2024-07-30 Mengxi Yang , Dai Shi , Xuebin Zheng , Jie Yin , Junbin Gao

Modern neural networks have shown promise for solving partial differential equations over surfaces, often by discretizing the surface as a mesh and learning with a mesh-aware graph neural network. However, graph neural networks suffer from…

Machine Learning · Computer Science 2026-05-13 Edward Berman , Luisa Li , Jung Yeon Park , Robin Walters

State-of-the-art Graph Neural Networks (GNNs) have limited scalability with respect to the graph and model sizes. On large graphs, increasing the model depth often means exponential expansion of the scope (i.e., receptive field). Beyond…

Graph convolutional networks (GCNs) are widely used in graph-based applications such as graph classification and segmentation. However, current GCNs have limitations on implementation such as network architectures due to their irregular…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Yecheng Lyu , Xinming Huang , Ziming Zhang

Graph neural networks (GNNs) hold the promise of learning efficient representations of graph-structured data, and one of its most important applications is semi-supervised node classification. However, in this application, GNN frameworks…

Machine Learning · Computer Science 2023-05-04 Jiaqi Sun , Lin Zhang , Shenglin Zhao , Yujiu Yang

Graph Convolutional Networks (GCNs) have become a pivotal method in machine learning for modeling functions over graphs. Despite their widespread success across various applications, their statistical properties (e.g., consistency,…

Machine Learning · Computer Science 2025-04-17 Juntong Chen , Johannes Schmidt-Hieber , Claire Donnat , Olga Klopp

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Graph Convolution Networks (GCNs) have significantly succeeded in learning user and item representations for recommendation systems. The core of their efficacy is the ability to explicitly exploit the collaborative signals from both the…

Information Retrieval · Computer Science 2024-11-11 Fan Liu , Shuai Zhao , Zhiyong Cheng , Liqiang Nie , Mohan Kankanhalli

Owing to the remarkable capability of extracting effective graph embeddings, graph convolutional network (GCN) and its variants have been successfully applied to a broad range of tasks, such as node classification, link prediction, and…

Machine Learning · Computer Science 2021-07-13 Ronghang Zhu , Zhiqiang Tao , Yaliang Li , Sheng Li

Current Graph Neural Networks (GNNs) suffer from the over-smoothing problem, which results in indistinguishable node representations and low model performance with more GNN layers. Many methods have been put forward to tackle this problem…

Machine Learning · Computer Science 2022-10-25 Xinshun Feng , Herun Wan , Shangbin Feng , Hongrui Wang , Jun Zhou , Qinghua Zheng , Minnan Luo

In this paper, we propose the Graph-Learning-Dual Graph Convolutional Neural Network called GLDGCN based on the classic Graph Convolutional Neural Network(GCN) by introducing dual convolutional layer and graph learning layer. We apply…

Machine Learning · Computer Science 2024-04-26 Zibin Huang , Jun Xian

Applying Global Self-attention (GSA) mechanism over features has achieved remarkable success on Convolutional Neural Networks (CNNs). However, it is not clear if Graph Convolutional Networks (GCNs) can similarly benefit from such a…

Machine Learning · Computer Science 2020-10-22 Chen Wang , Chengyuan Deng

Node representation learning by using Graph Neural Networks (GNNs) has been widely explored. However, in recent years, compelling evidence has revealed that GNN-based node representation learning can be substantially deteriorated by…

Machine Learning · Computer Science 2023-12-19 Jun Zhuang , Mohammad Al Hasan

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

This work develops a flexible and mathematically sound framework for the design and analysis of graph scattering networks with variable branching ratios and generic functional calculus filters. Spectrally-agnostic stability guarantees for…

Machine Learning · Computer Science 2023-01-30 Christian Koke , Gitta Kutyniok

The mining and exploitation of graph structural information have been the focal points in the study of complex networks. Traditional structural measures in Network Science focus on the analysis and modelling of complex networks from the…

Social and Information Networks · Computer Science 2023-06-21 Mingshan Jia , Bogdan Gabrys , Katarzyna Musial

Noise and inconsistency commonly exist in real-world information networks, due to inherent error-prone nature of human or user privacy concerns. To date, tremendous efforts have been made to advance feature learning from networks, including…

Machine Learning · Computer Science 2019-12-30 Min Shi , Yufei Tang , Xingquan Zhu , Jianxun Liu

Graph Neural Networks (GNNs) have shown great potential in graph data analysis due to their powerful representation capabilities. However, as the network depth increases, the issue of over-smoothing becomes more severe, causing node…

Machine Learning · Computer Science 2025-07-09 Kaichen Ouyang

Graph Neural Networks (GNNs) have achieved tremendous success in various real-world applications due to their strong ability in graph representation learning. GNNs explore the graph structure and node features by aggregating and…

Machine Learning · Computer Science 2021-03-09 Wei Jin , Tyler Derr , Yiqi Wang , Yao Ma , Zitao Liu , Jiliang Tang

We define a novel type of ensemble Graph Convolutional Network (GCN) model. Using optimized linear projection operators to map between spatial scales of graph, this ensemble model learns to aggregate information from each scale for its…

Machine Learning · Computer Science 2020-04-08 C. B. Scott , Eric Mjolsness
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