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Despite recent advances in representation learning in hypercomplex (HC) space, this subject is still vastly unexplored in the context of graphs. Motivated by the complex and quaternion algebras, which have been found in several contexts to…

Machine Learning · Computer Science 2022-02-22 Tuan Le , Marco Bertolini , Frank Noé , Djork-Arné Clevert

Recent studies have indicated that Graph Convolutional Networks (GCNs) act as a \emph{low pass} filter in spectral domain and encode smoothed node representations. In this paper, we consider their opposite, namely Graph Deconvolutional…

Machine Learning · Computer Science 2020-12-23 Jia Li , Tomas Yu , Da-Cheng Juan , Arjun Gopalan , Hong Cheng , Andrew Tomkins

The analysis of 3D point clouds has diverse applications in robotics, vision and graphics. Processing them presents specific challenges since they are naturally sparse, can vary in spatial resolution and are typically unordered. Graph-based…

Computer Vision and Pattern Recognition · Computer Science 2023-04-03 Mohammad Khodadad , Morteza Rezanejad , Ali Shiraee Kasmaee , Kaleem Siddiqi , Dirk Walther , Hamidreza Mahyar

In this work, we propose a graph-adaptive pruning (GAP) method for efficient inference of convolutional neural networks (CNNs). In this method, the network is viewed as a computational graph, in which the vertices denote the computation…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Mengdi Wang , Qing Zhang , Jun Yang , Xiaoyuan Cui , Wei Lin

Managing evolving graph data presents substantial challenges in storage and privacy, and training graph neural networks (GNNs) on such data often leads to catastrophic forgetting, impairing performance on earlier tasks. Despite existing…

Machine Learning · Computer Science 2025-05-29 Yinlin Zhu , Miao Hu , Di Wu

The performance of decoders in Quantum Error Correction (QEC) is key to realizing practical quantum computers. In recent years, Graph Neural Networks (GNNs) have emerged as a promising approach, but their training methodologies are not yet…

Quantum Physics · Physics 2025-08-07 Ryota Ikeda

This paper aims to provide a novel design of a multiscale framelet convolution for spectral graph neural networks (GNNs). While current spectral methods excel in various graph learning tasks, they often lack the flexibility to adapt to…

Machine Learning · Computer Science 2024-07-30 Mengxi Yang , Dai Shi , Xuebin Zheng , Jie Yin , Junbin Gao

We investigate a link between Graph Neural Networks (GNNs) and Quadratic Unconstrained Binary Optimization (QUBO) problems, laying the groundwork for GNNs to approximate solutions for these computationally challenging tasks. By analyzing…

Machine Learning · Computer Science 2025-08-26 Moshe Eliasof , Eldad Haber

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 seen extensive application in domains such as social networks, bioinformatics, and recommendation systems. However, the irregularity and sparsity of graph data challenge traditional computing methods, which…

Machine Learning · Computer Science 2025-02-25 Ka Wai Wu

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

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

Graph Neural Networks (GNNs) have made significant advances on several fundamental inference tasks. As a result, there is a surge of interest in using these models for making potentially important decisions in high-regret applications.…

Machine Learning · Computer Science 2020-02-26 Kaidi Xu , Sijia Liu , Pin-Yu Chen , Mengshu Sun , Caiwen Ding , Bhavya Kailkhura , Xue Lin

Graph Convolutional Networks (GCNs) have gained great popularity in tackling various analytics tasks on graph and network data. However, some recent studies raise concerns about whether GCNs can optimally integrate node features and…

Machine Learning · Computer Science 2020-07-14 Xiao Wang , Meiqi Zhu , Deyu Bo , Peng Cui , Chuan Shi , Jian Pei

Graph Neural Networks (GNNs) have shown great superiority on non-Euclidean graph data, achieving ground-breaking performance on various graph-related tasks. As a practical solution to train GNN on large graphs with billions of nodes and…

Machine Learning · Computer Science 2024-09-24 Zeyu Zhu , Peisong Wang , Qinghao Hu , Gang Li , Xiaoyao Liang , Jian Cheng

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) have recently been applied to graph learning tasks and achieved state-of-the-art (SOTA) results. However, many competitive methods run GNNs multiple times with subgraph extraction and customized labeling to…

Machine Learning · Computer Science 2023-02-14 Lecheng Kong , Yixin Chen , Muhan Zhang

Graph Neural Networks (GNNs) have achieved unprecedented success in identifying categorical labels of graphs. However, most existing graph classification problems with GNNs follow the protocol of balanced data splitting, which misaligns…

Machine Learning · Computer Science 2022-09-29 Yu Wang , Yuying Zhao , Neil Shah , Tyler Derr

Graph Convolutional Networks (GCNs) have been drawing significant attention with the power of representation learning on graphs. Unlike Convolutional Neural Networks (CNNs), which are able to take advantage of stacking very deep layers,…

Machine Learning · Computer Science 2020-06-16 Guohao Li , Chenxin Xiong , Ali Thabet , Bernard Ghanem

Graph Convolutional Networks (GCNs) and their variants have achieved significant performances on various recommendation tasks. However, many existing GCN models tend to perform recursive aggregations among all related nodes, which can arise…

Information Retrieval · Computer Science 2022-10-17 Yue Xu , Hao Chen , Zengde Deng , Yuanchen Bei , Feiran Huang