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Related papers: SoGCN: Second-Order Graph Convolutional Networks

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Graph Neural Networks (GNNs) have been applied to many problems in computer sciences. Capturing higher-order relationships between nodes is crucial to increase the expressive power of GNNs. However, existing methods to capture these…

Machine Learning · Computer Science 2023-02-22 Jhony H. Giraldo , Sajid Javed , Arif Mahmood , Fragkiskos D. Malliaros , Thierry Bouwmans

Group convolution works well with many deep convolutional neural networks (CNNs) that can effectively compress the model by reducing the number of parameters and computational cost. Using this operation, feature maps of different group…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Xukai Xie , Yuan Zhou , Sun-Yuan Kung

In traditional Graph Neural Networks (GNN), graph convolutional learning is carried out through topology-driven recursive node content aggregation for network representation learning. In reality, network topology and node content are not…

Social and Information Networks · Computer Science 2020-03-31 Min Shi , Yufei Tang , Xingquan Zhu

Graph convolutional networks (GCNs) allow us to learn topologically-aware node embeddings, which can be useful for classification or link prediction. However, they are unable to capture long-range dependencies between nodes without adding…

Machine Learning · Computer Science 2023-08-17 Reza Namazi , Elahe Ghalebi , Sinead Williamson , Hamidreza Mahyar

Over the last few years, we have witnessed the availability of an increasing data generated from non-Euclidean domains, which are usually represented as graphs with complex relationships, and Graph Neural Networks (GNN) have gained a high…

Machine Learning · Computer Science 2023-08-15 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Collaborative Filtering (CF) is a pivotal research area in recommender systems that capitalizes on collaborative similarities between users and items to provide personalized recommendations. With the remarkable achievements of node…

Information Retrieval · Computer Science 2024-01-30 Yifang Qin , Wei Ju , Xiao Luo , Yiyang Gu , Zhiping Xiao , Ming Zhang

In recent years, hypergraph learning has attracted great attention due to its capacity in representing complex and high-order relationships. However, current neural network approaches designed for hypergraphs are mostly shallow, thus…

Machine Learning · Computer Science 2022-11-03 Guanzi Chen , Jiying Zhang , Xi Xiao , Yang Li

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Graph neural networks have shown significant success in the field of graph representation learning. Graph convolutions perform neighborhood aggregation and represent one of the most important graph operations. Nevertheless, one layer of…

Machine Learning · Computer Science 2020-07-21 Meng Liu , Hongyang Gao , Shuiwang Ji

Graph convolutional networks (GCNs) are currently the most promising paradigm for dealing with graph-structure data, while recent studies have also shown that GCNs are vulnerable to adversarial attacks. Thus developing GCN models that are…

Machine Learning · Computer Science 2023-02-17 Jincheng Huang , Lun Du , Xu Chen , Qiang Fu , Shi Han , Dongmei Zhang

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art method for graph-based learning tasks. However, training GCNs at scale is still challenging, hindering both the exploration of more sophisticated GCN architectures and…

Machine Learning · Computer Science 2022-03-29 Cheng Wan , Youjie Li , Ang Li , Nam Sung Kim , Yingyan Lin

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 convolutional networks (GCNs) are a family of neural network models that perform inference on graph data by interleaving vertex-wise operations and message-passing exchanges across nodes. Concerning the latter, two key questions…

Machine Learning · Computer Science 2020-09-29 Indro Spinelli , Simone Scardapane , Aurelio Uncini

Graph Convolutional Networks (GCNs) suffer from severe performance degradation in deep architectures due to over-smoothing. While existing studies primarily attribute the over-smoothing to repeated applications of graph Laplacian operators,…

Machine Learning · Computer Science 2025-07-23 Furong Peng , Jinzhen Gao , Xuan Lu , Kang Liu , Yifan Huo , Sheng Wang

Graph convolutional neural networks (GCN) have been the model of choice for graph representation learning, which is mainly due to the effective design of graph convolution that computes the representation of a node by aggregating those of…

Machine Learning · Computer Science 2021-06-10 Qimai Li , Xiaotong Zhang , Han Liu , Quanyu Dai , Xiao-Ming Wu

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

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Graph Neural Networks have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

Machine Learning · Computer Science 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

Machine Learning · Computer Science 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

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
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