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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

Recent advances in image classification have been significantly propelled by the integration of Graph Convolutional Networks (GCNs), offering a novel paradigm for handling complex data structures. This study introduces an innovative…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Mustafa Mohammadi Gharasuie , Luis Rueda

Graph Neural Networks (GNNs) have demonstrated remarkable results in various real-world applications, including drug discovery, object detection, social media analysis, recommender systems, and text classification. In contrast to their vast…

Machine Learning · Computer Science 2026-02-04 Nícolas Roque dos Santos , Dawon Ahn , Diego Minatel , Alneu de Andrade Lopes , Evangelos E. Papalexakis

Graph convolutional neural networks (Graph-CNNs) extend traditional CNNs to handle data that is supported on a graph. Major challenges when working with data on graphs are that the support set (the vertices of the graph) do not typically…

Computer Vision and Pattern Recognition · Computer Science 2018-12-06 Yingxue Zhang , Michael Rabbat

Text classification is an important and classical problem in natural language processing. There have been a number of studies that applied convolutional neural networks (convolution on regular grid, e.g., sequence) to classification.…

Computation and Language · Computer Science 2018-11-14 Liang Yao , Chengsheng Mao , Yuan Luo

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been…

Machine Learning · Computer Science 2023-12-12 Hongkang Li , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

In this paper, we develop a novel Backtrackless Aligned-Spatial Graph Convolutional Network (BASGCN) model to learn effective features for graph classification. Our idea is to transform arbitrary-sized graphs into fixed-sized backtrackless…

Machine Learning · Computer Science 2020-09-08 Lu Bail , Lixin Cui , Yuhang Jiao , Luca Rossi , Edwin R. Hancock

Recently, Graph Neural Networks (GNNs) have greatly advanced the task of graph classification. Typically, we first build a unified GNN model with graphs in a given training set and then use this unified model to predict labels of all the…

Machine Learning · Computer Science 2021-12-15 Yiqi Wang , Yao Ma , Wei Jin , Chaozhuo Li , Charu Aggarwal , Jiliang Tang

Graph processes model a number of important problems such as identifying the epicenter of an earthquake or predicting weather. In this paper, we propose a Graph Convolutional Recurrent Neural Network (GCRNN) architecture specifically…

Machine Learning · Computer Science 2019-06-28 Luana Ruiz , Fernando Gama , Alejandro Ribeiro

Graph convolutional networks (GCNs) have recently become one of the most powerful tools for graph analytics tasks in numerous applications, ranging from social networks and natural language processing to bioinformatics and chemoinformatics,…

Machine Learning · Computer Science 2019-04-05 Fengwen Chen , Shirui Pan , Jing Jiang , Huan Huo , Guodong Long

Nuclei classification is a critical step in computer-aided diagnosis with histopathology images. In the past, various methods have employed graph neural networks (GNN) to analyze cell graphs that model inter-cell relationships by…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Wei Lou , Guanbin Li , Xiang Wan , Haofeng Li

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing deep learning to arbitrary non-regular domains. Most of the existing GCNs follow a neighborhood aggregation scheme, where the representation of a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Hichem Sahbi

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

Despite the vast amount of information encoded in Knowledge Graphs (KGs), information about the class affiliation of entities remains often incomplete. Graph Convolutional Networks (GCNs) have been shown to be effective predictors of…

Artificial Intelligence · Computer Science 2024-12-30 Johannes Mäkelburg , Yiwen Peng , Mehwish Alam , Tobias Weller , Maribel Acosta

Graph convolutional neural networks (GCNs) operate by aggregating messages over local neighborhoods given the prediction task under interest. Many GCNs can be understood as a form of generalized diffusion of input features on the graph, and…

Machine Learning · Computer Science 2023-07-24 Thomas Markovich

With the recent success of graph convolutional networks (GCNs), they have been widely applied for recommendation, and achieved impressive performance gains. The core of GCNs lies in its message passing mechanism to aggregate neighborhood…

Information Retrieval · Computer Science 2023-12-01 Kelong Mao , Jieming Zhu , Xi Xiao , Biao Lu , Zhaowei Wang , Xiuqiang He

Graph Neural Nets (GNNs) have received increasing attentions, partially due to their superior performance in many node and graph classification tasks. However, there is a lack of understanding on what they are learning and how sophisticated…

Machine Learning · Computer Science 2020-06-11 Ting Chen , Song Bian , Yizhou Sun

Graph embedding, aiming to learn low-dimensional representations (aka. embeddings) of nodes, has received significant attention recently. Recent years have witnessed a surge of efforts made on static graphs, among which Graph Convolutional…

Machine Learning · Computer Science 2021-04-08 Zeyu Cui , Zekun Li , Shu Wu , Xiaoyu Zhang , Qiang Liu , Liang Wang , Mengmeng Ai

Convex quadratically constrained quadratic programs (QCQPs) involve finding a solution within a convex feasible region defined by quadratic constraints while minimizing a convex quadratic objective function. These problems arise in various…

Optimization and Control · Mathematics 2025-11-25 Chenyang Wu , Qian Chen , Akang Wang , Tian Ding , Ruoyu Sun , Wenguo Yang , Qingjiang Shi

Although Graph Convolutional Networks (GCNs) have demonstrated their power in various applications, the graph convolutional layers, as the most important component of GCN, are still using linear transformations and a simple pooling step. In…

Machine Learning · Computer Science 2021-07-27 Hao Zhu , Piotr Koniusz