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We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

Machine Learning · Computer Science 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Graph representation learning nowadays becomes fundamental in analyzing graph-structured data. Inspired by recent success of contrastive methods, in this paper, we propose a novel framework for unsupervised graph representation learning by…

Machine Learning · Computer Science 2020-07-14 Yanqiao Zhu , Yichen Xu , Feng Yu , Qiang Liu , Shu Wu , Liang Wang

Identifying the graphical structure underlying the observed multivariate data is essential in numerous applications. Current methodologies are predominantly confined to deducing a singular graph under the presumption that the observed data…

Machine Learning · Statistics 2025-12-16 Bisakh Banerjee , Mohammad Alwardat , Tapabrata Maiti , Selin Aviyente

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

The rise of graph-structured data such as social networks, regulatory networks, citation graphs, and functional brain networks, in combination with resounding success of deep learning in various applications, has brought the interest in…

Machine Learning · Computer Science 2018-11-01 Ron Levie , Federico Monti , Xavier Bresson , Michael M. Bronstein

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

Machine Learning · Computer Science 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

Graph pooling is a central component of a myriad of graph neural network (GNN) architectures. As an inheritance from traditional CNNs, most approaches formulate graph pooling as a cluster assignment problem, extending the idea of local…

Machine Learning · Computer Science 2020-10-23 Diego Mesquita , Amauri H. Souza , Samuel Kaski

Convolutional layers within graph neural networks operate by aggregating information about local neighbourhood structures; one common way to encode such substructures is through random walks. The distribution of these random walks evolves…

Machine Learning · Computer Science 2022-05-30 Csaba Toth , Darrick Lee , Celia Hacker , Harald Oberhauser

Recently there is a growing focus on graph data, and multi-view graph clustering has become a popular area of research interest. Most of the existing methods are only applicable to homophilous graphs, yet the extensive real-world graph data…

Machine Learning · Computer Science 2024-01-08 Zichen Wen , Yawen Ling , Yazhou Ren , Tianyi Wu , Jianpeng Chen , Xiaorong Pu , Zhifeng Hao , Lifang He

Graph Neural Network (GNN) research has concentrated on improving convolutional layers, with little attention paid to developing graph pooling layers. Yet pooling layers can enable GNNs to reason over abstracted groups of nodes instead of…

Machine Learning · Computer Science 2019-05-28 Frederik Diehl

Recent advancements in Graph Contrastive Learning (GCL) have demonstrated remarkable effectiveness in improving graph representations. However, relying on predefined augmentations (e.g., node dropping, edge perturbation, attribute masking)…

Machine Learning · Computer Science 2025-02-27 Khaled Mohammed Saifuddin , Shihao Ji , Esra Akbas

In view of the huge success of convolution neural networks (CNN) for image classification and object recognition, there have been attempts to generalize the method to general graph-structured data. One major direction is based on spectral…

Machine Learning · Computer Science 2020-03-09 Feng Ji , Jielong Yang , Qiang Zhang , Wee Peng Tay

With the explosive growth of multi-source data, multi-view clustering has attracted great attention in recent years. Most existing multi-view methods operate in raw feature space and heavily depend on the quality of original feature…

Machine Learning · Computer Science 2022-05-20 Liang Liu , Peng Chen , Guangchun Luo , Zhao Kang , Yonggang Luo , Sanchu Han

Graph convolutional networks (GCNs) have achieved remarkable learning ability for dealing with various graph structural data recently. In general, deep GCNs do not work well since graph convolution in conventional GCNs is a special form of…

Machine Learning · Computer Science 2021-12-08 Zhilong Xiong , Jia Cai

Graph convolutional neural networks (GCNNs) are a powerful extension of deep learning techniques to graph-structured data problems. We empirically evaluate several pooling methods for GCNNs, and combinations of those graph pooling methods…

Signal Processing · Electrical Eng. & Systems 2020-04-08 Mark Cheung , John Shi , Lavender Yao Jiang , Oren Wright , José M. F. Moura

The video-based person re-identification (ReID) aims to identify the given pedestrian video sequence across multiple non-overlapping cameras. To aggregate the temporal and spatial features of the video samples, the graph neural networks…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Honghu Pan , Yongyong Chen , Zhenyu He

Recent works in geometric deep learning have introduced neural networks that allow performing inference tasks on three-dimensional geometric data by defining convolution, and sometimes pooling, operations on triangle meshes. These methods,…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Francesco Milano , Antonio Loquercio , Antoni Rosinol , Davide Scaramuzza , Luca Carlone

Graph convolutional neural network provides good solutions for node classification and other tasks with non-Euclidean data. There are several graph convolutional models that attempt to develop deep networks but do not cause serious…

Machine Learning · Computer Science 2021-02-22 Jingyi Wang , Zhidong Deng

Recently, graph neural networks have been widely used for network embedding because of their prominent performance in pairwise relationship learning. In the real world, a more natural and common situation is the coexistence of pairwise…

Social and Information Networks · Computer Science 2021-01-19 Xiangguo Sun , Hongzhi Yin , Bo Liu , Hongxu Chen , Jiuxin Cao , Yingxia Shao , Nguyen Quoc Viet Hung

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim