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Graph convolutional networks (GCNs) have achieved great success in graph representation learning by extracting high-level features from nodes and their topology. Since GCNs generally follow a message-passing mechanism, each node aggregates…

Machine Learning · Computer Science 2023-09-07 Wei Duan , Junyu Xuan , Maoying Qiao , Jie Lu

The notion of graph filters can be used to define generative models for graph data. In fact, the data obtained from many examples of network dynamics may be viewed as the output of a graph filter. With this interpretation, classical signal…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Raksha Ramakrishna , Hoi-To Wai , Anna Scaglione

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

In this paper, we presented a novel convolutional neural network framework for graph modeling, with the introduction of two new modules specially designed for graph-structured data: the $k$-th order convolution operator and the adaptive…

Machine Learning · Computer Science 2017-10-23 Zhenpeng Zhou , Xiaocheng Li

Adversarial attacks present a significant risk to the integrity and performance of graph neural networks, particularly in tasks where graph structure and node features are vulnerable to manipulation. In this paper, we present a novel model,…

Machine Learning · Computer Science 2025-11-04 Shakib Khan , A. Ben Hamza , Amr Youssef

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

Graph Convolutional Networks (GCNs) have attracted more and more attentions in recent years. A typical GCN layer consists of a linear feature propagation step and a nonlinear transformation step. Recent works show that a linear GCN can…

Machine Learning · Computer Science 2021-10-29 Yifei Wang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

Graph convolutional networks (GCNs) have achieved great success in dealing with data of non-Euclidean structures. Their success directly attributes to fitting graph structures effectively to data such as in social media and knowledge…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Boyan Xu , Hujun Yin

Graph Convolutional Networks (GCNs) are one of the most popular architectures that are used to solve classification problems accompanied by graphical information. We present a rigorous theoretical understanding of the effects of graph…

Machine Learning · Computer Science 2022-08-03 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

Graph convolutional networks (GCNs) and its variants are designed for unsigned graphs containing only positive links. Many existing GCNs have been derived from the spectral domain analysis of signals lying over (unsigned) graphs and in each…

Machine Learning · Computer Science 2022-08-16 Rahul Singh , Yongxin Chen

Graph embedding is an important approach for graph analysis tasks such as node classification and link prediction. The goal of graph embedding is to find a low dimensional representation of graph nodes that preserves the graph information.…

Machine Learning · Computer Science 2019-08-27 Mahsa Ghorbani , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

The trust in the predictions of Graph Neural Networks is limited by their opaque reasoning process. Prior methods have tried to explain graph networks via concept-based explanations extracted from the latent representations obtained after…

Machine Learning · Computer Science 2026-04-23 Lucie Charlotte Magister , Pietro Lio

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

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Graph Convolutional Network (GCN) are widely used in Graph Anomaly Detection (GAD) due to their natural compatibility with graph structures, resulting in significant performance improvements. However, most researchers approach GAD as a…

Machine Learning · Computer Science 2024-11-05 Shelei Li , Yong Chai Tan , Tai Vincent

Graph Convolution Network (GCN) has become new state-of-the-art for collaborative filtering. Nevertheless, the reasons of its effectiveness for recommendation are not well understood. Existing work that adapts GCN to recommendation lacks…

Information Retrieval · Computer Science 2020-07-08 Xiangnan He , Kuan Deng , Xiang Wang , Yan Li , Yongdong Zhang , Meng Wang

In recent years, Graph Convolutional Networks (GCNs) have gained popularity for their exceptional ability to process graph-structured data. Existing GCN-based approaches typically employ a shallow model architecture due to the…

Machine Learning · Computer Science 2025-04-22 Jielong Lu , Zhihao Wu , Zhiling Cai , Yueyang Pi , Shiping Wang

AMR-to-text generation is used to transduce Abstract Meaning Representation structures (AMR) into text. A key challenge in this task is to efficiently learn effective graph representations. Previously, Graph Convolution Networks (GCNs) were…

Computation and Language · Computer Science 2020-10-12 Yan Zhang , Zhijiang Guo , Zhiyang Teng , Wei Lu , Shay B. Cohen , Zuozhu Liu , Lidong Bing

Graph convolutional networks (GCNs) are powerful tools for graph-structured data. However, they have been recently shown to be vulnerable to topological attacks. To enhance adversarial robustness, we go beyond spectral graph theory to…

Machine Learning · Computer Science 2021-09-22 Ming Jin , Heng Chang , Wenwu Zhu , Somayeh Sojoudi

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang