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To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

Machine Learning · Computer Science 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Graph convolutional neural networks (GCNNs) have been widely used in graph learning. It has been observed that the smoothness functional on graphs can be defined in terms of the graph Laplacian. This fact points out in the direction of…

Machine Learning · Computer Science 2020-09-30 Asif Salim , Sumitra S

Over the past few years, a significant progress has been made in deep convolutional neural networks (CNNs)-based image recognition. This is mainly due to the strong ability of such networks in mining discriminative object pose and parts…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Asish Bera , Zachary Wharton , Yonghuai Liu , Nik Bessis , Ardhendu Behera

Graph Convolutional Networks (GCNs) have been widely demonstrated their powerful ability in graph data representation and learning. Existing graph convolution layers are mainly designed based on graph signal processing and transform aspect…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Ziyan Zhang , Bo Jiang , Bin Luo

Graph convolutional networks (GCN) have recently demonstrated their potential in analyzing non-grid structure data that can be represented as graphs. The core idea is to encode the local topology of a graph, via convolutions, into the…

Machine Learning · Computer Science 2021-01-12 Yiding Yang , Xinchao Wang , Mingli Song , Junsong Yuan , Dacheng Tao

Graph Convolutional Networks (GCNs) have shown strong performance in learning text representations for various tasks such as text classification, due to its expressive power in modeling graph structure data (e.g., a literature citation…

Computation and Language · Computer Science 2023-05-12 Zhibin Lu , Qianqian Xie , Benyou Wang , Jian-yun Nie

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

In this paper we cast neural networks defined on graphs as message-passing neural networks (MPNNs) in order to study the distinguishing power of different classes of such models. We are interested in whether certain architectures are able…

Machine Learning · Computer Science 2020-04-07 Floris Geerts , Filip Mazowiecki , Guillermo A. Pérez

Graph Neural Networks (GNNs) play a pivotal role in graph-based tasks for their proficiency in representation learning. Among the various GNN methods, spectral GNNs employing polynomial filters have shown promising performance on tasks…

Machine Learning · Computer Science 2025-01-09 Haipeng Ding , Zhewei Wei , Yuhang Ye

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

Machine Learning · Computer Science 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

Graph neural networks (GNNs) have demonstrated promising performance across various chemistry-related tasks. However, conventional graphs only model the pairwise connectivity in molecules, failing to adequately represent higher-order…

Chemical Physics · Physics 2023-12-22 Junwu Chen , Philippe Schwaller

Representation learning on heterogeneous graphs aims to obtain meaningful node representations to facilitate various downstream tasks, such as node classification and link prediction. Existing heterogeneous graph learning methods are…

Machine Learning · Computer Science 2022-04-19 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Weifeng Lv , Hui Xiong

Graph Convolutional Networks (GCNs) and their variants have experienced significant attention and have become the de facto methods for learning graph representations. GCNs derive inspiration primarily from recent deep learning approaches,…

Machine Learning · Computer Science 2019-06-21 Felix Wu , Tianyi Zhang , Amauri Holanda de Souza , Christopher Fifty , Tao Yu , Kilian Q. Weinberger

Graph Convolutional Networks (GCNs), similarly to Convolutional Neural Networks (CNNs), are typically based on two main operations - spatial and point-wise convolutions. In the context of GCNs, differently from CNNs, a pre-determined…

Machine Learning · Computer Science 2022-07-18 Moshe Eliasof , Eldad Haber , Eran Treister

Recent advances in Graph Convolutional Networks (GCNs) have led to state-of-the-art performance on various graph-related tasks. However, most existing GCN models do not explicitly identify whether all the aggregated neighbors are valuable…

Machine Learning · Computer Science 2020-09-08 Hao Chen , Yue Xu , Feiran Huang , Zengde Deng , Wenbing Huang , Senzhang Wang , Peng He , Zhoujun Li

Heterogeneous Graph Neural Networks (HGNNs) have exhibited powerful performance in heterogeneous graph learning by aggregating information from various types of nodes and edges. However, existing heterogeneous graph models often struggle to…

Machine Learning · Computer Science 2025-09-30 Ranhui Yan , Jia cai

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 convolutional networks (GCNs) update a node's feature vector by aggregating features from its neighbors in the graph. This ignores potentially useful contributions from distant nodes. Identifying such useful distant contributions is…

Artificial Intelligence · Computer Science 2020-03-03 Hesham Mostafa , Marcel Nassar

Transformers have set new benchmarks in audio processing tasks, leveraging self-attention mechanisms to capture complex patterns and dependencies within audio data. However, their focus on pairwise interactions limits their ability to…

Sound · Computer Science 2025-01-30 Shubhr Singh , Emmanouil Benetos , Huy Phan , Dan Stowell