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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 Convolutional Networks (GCNs) and their variants have received significant attention and achieved start-of-the-art performances on various recommendation tasks. However, many existing GCN models tend to perform recursive aggregations…

Information Retrieval · Computer Science 2020-06-09 Yue Xu , Hao Chen , Zengde Deng , Junxiong Zhu , Yanghua Li , Peng He , Wenyao Gao , Wenjun Xu

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

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

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art graph learning model. However, it can be notoriously challenging to inference GCNs over large graph datasets, limiting their application to large real-world graphs and…

Hardware Architecture · Computer Science 2025-03-11 Haoran You , Tong Geng , Yongan Zhang , Ang Li , Yingyan Celine Lin

We consider the problem of learning distance-based Graph Convolutional Networks (GCNs) for relational data. Specifically, we first embed the original graph into the Euclidean space $\mathbb{R}^m$ using a relational density estimation…

Machine Learning · Computer Science 2021-10-14 Devendra Singh Dhami , Siwen Yan , Sriraam Natarajan

Despite the enormous success of graph neural networks (GNNs), most existing GNNs can only be applicable to undirected graphs where relationships among connected nodes are two-way symmetric (i.e., information can be passed back and forth).…

Machine Learning · Computer Science 2021-10-15 Zhuo Tan , Bin Liu , Guosheng Yin

We extend the graph convolutional network method for deep learning on graph data to higher order in terms of neighboring nodes. In order to construct representations for a node in a graph, in addition to the features of the node and its…

Machine Learning · Computer Science 2024-05-24 Alireza Hashemi , Hernan Makse

Graph representation learning is of paramount importance for a variety of graph analytical tasks, ranging from node classification to community detection. Recently, graph convolutional networks (GCNs) have been successfully applied for…

Machine Learning · Computer Science 2020-11-10 Fenyu Hu , Yanqiao Zhu , Shu Wu , Weiran Huang , Liang Wang , Tieniu Tan

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

Message-passing neural networks (MPNNs) have been successfully applied to representation learning on graphs in a variety of real-world applications. However, two fundamental weaknesses of MPNNs' aggregators limit their ability to represent…

Machine Learning · Computer Science 2020-02-17 Hongbin Pei , Bingzhe Wei , Kevin Chen-Chuan Chang , Yu Lei , Bo Yang

We introduce a new class of auto-encoders for directed graphs, motivated by a direct extension of the Weisfeiler-Leman algorithm to pairs of node labels. The proposed model learns pairs of interpretable latent representations for the nodes…

Machine Learning · Computer Science 2022-02-28 Georgios Kollias , Vasileios Kalantzis , Tsuyoshi Idé , Aurélie Lozano , Naoki Abe

Graph Convolutional Network (GCN) has shown remarkable potential of exploring graph representation. However, the GCN aggregating mechanism fails to generalize to networks with heterophily where most nodes have neighbors from different…

Machine Learning · Computer Science 2021-12-30 Dongxiao He , Chundong Liang , Huixin Liu , Mingxiang Wen , Pengfei Jiao , Zhiyong Feng

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Graph neural networks (GNNs) have gained traction over the past few years for their superior performance in numerous machine learning tasks. Graph Convolutional Neural Networks (GCN) are a common variant of GNNs that are known to have high…

Machine Learning · Computer Science 2022-07-06 Sannat Singh Bhasin , Vaibhav Holani , Divij Sanjanwala

Graph Convolution Networks (GCNs) are becoming more and more popular for learning node representations on graphs. Though there exist various developments on sampling and aggregation to accelerate the training process and improve the…

Machine Learning · Computer Science 2020-10-30 Xu Zou , Qiuye Jia , Jianwei Zhang , Chang Zhou , Hongxia Yang , Jie Tang

We study properties of Graph Convolutional Networks (GCNs) by analyzing their behavior on standard models of random graphs, where nodes are represented by random latent variables and edges are drawn according to a similarity kernel. This…

Machine Learning · Statistics 2020-10-26 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

Designing effective graph neural networks (GNNs) with message passing has two fundamental challenges, i.e., determining optimal message-passing pathways and designing local aggregators. Previous methods of designing optimal pathways are…

Machine Learning · Computer Science 2024-11-01 Junshu Sun , Shuhui Wang , Chenxue Yang , Qingming Huang

Recent studies on Graph Convolutional Networks (GCNs) reveal that the initial node representations (i.e., the node representations before the first-time graph convolution) largely affect the final model performance. However, when learning…

Machine Learning · Computer Science 2022-03-10 Weijian Chen , Fuli Feng , Qifan Wang , Xiangnan He , Chonggang Song , Guohui Ling , Yongdong Zhang