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Convolutional neural networks (CNNs) are being applied to an increasing number of problems and fields due to their superior performance in classification and regression tasks. Since two of the key operations that CNNs implement are…

Machine Learning · Computer Science 2018-02-27 Fernando Gama , Geert Leus , Antonio G. Marques , Alejandro Ribeiro

Graph Neural Networks (GNNs) have achieved state-of-the-art results on many graph analysis tasks such as node classification and link prediction. However, important unsupervised problems on graphs, such as graph clustering, have proved more…

Machine Learning · Computer Science 2023-06-02 Anton Tsitsulin , John Palowitch , Bryan Perozzi , Emmanuel Müller

Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

Machine Learning · Computer Science 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

Machine Learning · Computer Science 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

Graph-level representation learning is the pivotal step for downstream tasks that operate on the whole graph. The most common approach to this problem heretofore is graph pooling, where node features are typically averaged or summed to…

Machine Learning · Computer Science 2022-09-20 Kaixuan Chen , Jie Song , Shunyu Liu , Na Yu , Zunlei Feng , Gengshi Han , Mingli Song

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

Graph pooling has been increasingly recognized as crucial for Graph Neural Networks (GNNs) to facilitate hierarchical graph representation learning. Existing graph pooling methods commonly consist of two stages: selecting top-ranked nodes…

Machine Learning · Computer Science 2023-11-22 Chuang Liu , Wenhang Yu , Kuang Gao , Xueqi Ma , Yibing Zhan , Jia Wu , Bo Du , Wenbin Hu

Community detection is a central problem in graph analysis, with applications ranging from network science to graph signal processing. In recent years, Graph Neural Networks (GNNs) have emerged as effective tools for learning…

Numerical Analysis · Mathematics 2026-05-20 Roberto Cavoretto , Alessandra De Rossi , Enrico Montini

Graph data, with its structurally variable nature, represents complex real-world phenomena like chemical compounds, protein structures, and social networks. Traditional Graph Neural Networks (GNNs) primarily utilize the message-passing…

Machine Learning · Computer Science 2025-02-05 Jianming Huang , Hiroyuki Kasai

Graph neural networks (GNNs) have led to major breakthroughs in a variety of domains such as drug discovery, social network analysis, and travel time estimation. However, they lack interpretability which hinders human trust and thereby…

Machine Learning · Computer Science 2023-12-05 Jonas Jürß , Lucie Charlotte Magister , Pietro Barbiero , Pietro Liò , Nikola Simidjievski

We present a novel and hierarchical approach for supervised classification of signals spanning over a fixed graph, reflecting shared properties of the dataset. To this end, we introduce a Convolutional Cluster Pooling layer exploiting a…

Machine Learning · Computer Science 2019-02-14 Angelo Porrello , Davide Abati , Simone Calderara , Rita Cucchiara

Graph Neural Networks (GNNs) are powerful tools for graph classification. One important operation for GNNs is the downsampling or pooling that can learn effective embeddings from the node representations. In this paper, we propose a new…

Machine Learning · Computer Science 2024-05-17 Zhehan Zhao , Lu Bai , Lixin Cui , Ming Li , Yue Wang , Lixiang Xu , Edwin R. Hancock

This paper studies semi-supervised graph classification, a crucial task with a wide range of applications in social network analysis and bioinformatics. Recent works typically adopt graph neural networks to learn graph-level representations…

Machine Learning · Computer Science 2023-04-25 Wei Ju , Xiao Luo , Meng Qu , Yifan Wang , Chong Chen , Minghua Deng , Xian-Sheng Hua , Ming Zhang

We introduce a novel variant of GNN for particle tracking called Hierarchical Graph Neural Network (HGNN). The architecture creates a set of higher-level representations which correspond to tracks and assigns spacepoints to these tracks,…

High Energy Physics - Experiment · Physics 2023-03-06 Ryan Liu , Paolo Calafiura , Steven Farrell , Xiangyang Ju , Daniel Thomas Murnane , Tuan Minh Pham

Graph convolutional neural networks (GCNNs) have been attracting increasing research attention due to its great potential in inference over graph structures. However, insufficient effort has been devoted to the aggregation methods between…

Machine Learning · Computer Science 2019-05-15 Penghui Sun , Jingwei Qu , Xiaoqing Lyu , Haibin Ling , Zhi Tang

Graph convolutional networks (GCNs) have recently become one of the most powerful tools for graph analytics tasks in numerous applications, ranging from social networks and natural language processing to bioinformatics and chemoinformatics,…

Machine Learning · Computer Science 2019-04-05 Fengwen Chen , Shirui Pan , Jing Jiang , Huan Huo , Guodong Long

It is hard to directly implement Graph Neural Networks (GNNs) on large scaled graphs. Besides of existed neighbor sampling techniques, scalable methods decoupling graph convolutions and other learnable transformations into preprocessing and…

Machine Learning · Computer Science 2021-07-02 Chuxiong Sun , Hongming Gu , Jie Hu

Deep learning, particularly convolutional neural networks (CNNs), have yielded rapid, significant improvements in computer vision and related domains. But conventional deep learning architectures perform poorly when data have an underlying…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Mark Cheung , John Shi , Oren Wright , Lavender Y. Jiang , Xujin Liu , José M. F. Moura

Graph classification is a challenging problem owing to the difficulty in quantifying the similarity between graphs or representing graphs as vectors, though there have been a few methods using graph kernels or graph neural networks (GNNs).…

Machine Learning · Computer Science 2024-08-22 Zixiao Wang , Jicong Fan

Graph Comparative Learning (GCL) is a self-supervised method that combines the advantages of Graph Convolutional Networks (GCNs) and comparative learning, making it promising for learning node representations. However, the GCN encoders used…

Machine Learning · Computer Science 2023-12-12 Ruyue Liu , Rong Yin , Yong Liu , Weiping Wang