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The Graph Convolutional Networks (GCN) proposed by Kipf and Welling is an effective model for semi-supervised learning, but faces the obstacle of over-smoothing, which will weaken the representation ability of GCN. Recently some works are…

Machine Learning · Computer Science 2022-05-20 Xue Liu , Dan Sun , Wei Wei

Convolutional neural networks (CNNs) are being applied to an increasing number of problems and fields due to their superior performance in classification and regression tasks. Since two of the key operations that CNNs implement are…

Machine Learning · Computer Science 2018-02-27 Fernando Gama , Geert Leus , Antonio G. Marques , Alejandro Ribeiro

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

Graph Neural Networks (GNNs) are limited in their propagation operators. In many cases, these operators often contain non-negative elements only and are shared across channels, limiting the expressiveness of GNNs. Moreover, some GNNs suffer…

Machine Learning · Computer Science 2023-05-08 Moshe Eliasof , Lars Ruthotto , Eran Treister

Graph neural networks (GNNs) are commonly used in semi-supervised settings. Previous research has primarily focused on finding appropriate graph filters (e.g. aggregation methods) to perform well on both homophilic and heterophilic graphs.…

Machine Learning · Computer Science 2025-01-17 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Learning vector representations (aka. embeddings) of users and items lies at the core of modern recommender systems. Ranging from early matrix factorization to recently emerged deep learning based methods, existing efforts typically obtain…

Information Retrieval · Computer Science 2020-07-06 Xiang Wang , Xiangnan He , Meng Wang , Fuli Feng , Tat-Seng Chua

Identifying influential nodes in complex networks is of great importance, and has many applications in practice. For example, finding influential nodes in e-commerce network can provide merchants with customers with strong purchase intent;…

Social and Information Networks · Computer Science 2025-08-05 Yanmei Hu , Siyuan Yin , Yihang Wu , Xue Yue , Yue Liu

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

Graph Neural Networks (GNNs) have demonstrated remarkable effectiveness in recommendation systems. However, conventional graph-based recommenders, such as LightGCN, require maintaining embeddings of size $d$ for each node, resulting in a…

Machine Learning · Computer Science 2025-10-14 Yanping Zheng , Zhewei Wei , Frank de Hoog , Xu Chen , Hongteng Xu , Yuhang Ye , Jiadeng Huang

Multi-view data containing complementary and consensus information can facilitate representation learning by exploiting the intact integration of multi-view features. Because most objects in real world often have underlying connections,…

Machine Learning · Computer Science 2023-08-15 Zhaoliang Chen , Lele Fu , Shunxin Xiao , Shiping Wang , Claudia Plant , Wenzhong Guo

Graph Neural Networks (GNNs) exploit signals from node features and the input graph topology to improve node classification task performance. However, these models tend to perform poorly on heterophilic graphs, where connected nodes have…

Machine Learning · Computer Science 2021-12-08 Vijay Lingam , Chanakya Ekbote , Manan Sharma , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam

Graph Convolutional Networks (GCNs) is the state-of-the-art method for learning graph-structured data, and training large-scale GCNs requires distributed training across multiple accelerators such that each accelerator is able to hold a…

Machine Learning · Computer Science 2022-03-22 Cheng Wan , Youjie Li , Cameron R. Wolfe , Anastasios Kyrillidis , Nam Sung Kim , Yingyan Lin

Graph Neural Networks (GNNs) are proficient in graph representation learning and achieve promising performance on versatile tasks such as node classification and link prediction. Usually, a comprehensive hyperparameter tuning is essential…

Machine Learning · Computer Science 2024-10-10 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

Graph Convolutional Networks (GCNs) have been successfully applied to analyze non-grid data, where the classical convolutional neural networks (CNNs) cannot be directly used. One similarity shared by GCNs and CNNs is the requirement of…

Computer Vision and Pattern Recognition · Computer Science 2020-06-04 Qikui Zhu , Bo Du , Pingkun Yan

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

In this paper, we aim at improving the computational efficiency of graph convolutional networks (GCNs) for learning on point clouds. The basic graph convolution that is typically composed of a $K$-nearest neighbor (KNN) search and a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Yawei Li , He Chen , Zhaopeng Cui , Radu Timofte , Marc Pollefeys , Gregory Chirikjian , Luc Van Gool

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

Graph Convolutional Networks (GCN) with multi-hop aggregation is more expressive than one-hop GCN but suffers from higher model complexity. Finding the shortest aggregation range that achieves comparable expressiveness and minimizes this…

Machine Learning · Computer Science 2021-10-15 Peihao Wang , Yuehao Wang , Hua Lin , Jianbo Shi

Graph convolution is the core of most Graph Neural Networks (GNNs) and usually approximated by message passing between direct (one-hop) neighbors. In this work, we remove the restriction of using only the direct neighbors by introducing a…

Social and Information Networks · Computer Science 2022-04-06 Johannes Gasteiger , Stefan Weißenberger , Stephan Günnemann

This paper aims at studying the sample complexity of graph convolutional networks (GCNs), by providing tight upper bounds of Rademacher complexity for GCN models with a single hidden layer. Under regularity conditions, theses derived…

Machine Learning · Statistics 2021-02-23 Shaogao Lv