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Graphs are ubiquitous in social networks and biochemistry, where Graph Neural Networks (GNN) are the state-of-the-art models for prediction. Graphs can be evolving and it is vital to formally model and understand how a trained GNN responds…

Machine Learning · Computer Science 2024-03-12 Yazheng Liu , Xi Zhang , Sihong Xie

In this paper we propose a pooling approach for convolutional information processing on graphs relying on the theory of graphons and limits of dense graph sequences. We present three methods that exploit the induced graphon representation…

Machine Learning · Computer Science 2023-08-24 Alejandro Parada-Mayorga , Zhiyang Wang , Alejandro Ribeiro

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

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

Whilst spectral Graph Neural Networks (GNNs) are theoretically well-founded in the spectral domain, their practical reliance on polynomial approximation implies a profound linkage to the spatial domain. As previous studies rarely examine…

Machine Learning · Computer Science 2024-09-17 Jingwei Guo , Kaizhu Huang , Xinping Yi , Zixian Su , Rui Zhang

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Graph Neural Networks (GNNs) are attracting growing attention due to their effectiveness and flexibility in modeling a variety of graph-structured data. Exiting GNN architectures usually adopt simple pooling operations (eg. sum, average,…

Machine Learning · Computer Science 2022-10-21 Chenqing Hua , Guillaume Rabusseau , Jian Tang

We consider the problem of representation learning for graph data. Convolutional neural networks can naturally operate on images, but have significant challenges in dealing with graph data. Given images are special cases of graphs with…

Machine Learning · Computer Science 2019-05-15 Hongyang Gao , Shuiwang Ji

Recently, graph neural networks (GNNs) have revolutionized the field of graph representation learning through effectively learned node embeddings, and achieved state-of-the-art results in tasks such as node classification and link…

Machine Learning · Computer Science 2019-02-21 Rex Ying , Jiaxuan You , Christopher Morris , Xiang Ren , William L. Hamilton , Jure Leskovec

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

Dynamic graphs arise in a plethora of practical scenarios such as social networks, communication networks, and financial transaction networks. Given a dynamic graph, it is fundamental and essential to learn a graph representation that is…

Machine Learning · Computer Science 2021-06-15 Menglin Yang , Ziqiao Meng , Irwin King

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 Neural Networks (GNNs) combine node attributes over a fixed granularity of the local graph structure around a node to predict its label. However, different nodes may relate to a node-level property with a different granularity of its…

Machine Learning · Computer Science 2025-06-19 Kartik Sharma , Vineeth Rakesh , Yingtong Dou , Srijan Kumar , Mahashweta Das

Graph neural networks (GNNs) have achieved impressive impressions for graph-related tasks. However, most GNNs are primarily studied under the cases of signal domain with supervised training, which requires abundant task-specific labels and…

Machine Learning · Computer Science 2025-07-16 Jinhui Pang , Zixuan Wang , Jiliang Tang , Mingyan Xiao , Nan Yin

Convolutional graph networks are used in particle physics for effective event reconstructions and classifications. However, their performances can be limited by the considerable amount of sensors used in modern particle detectors if applied…

High Energy Physics - Experiment · Physics 2022-10-10 M. Bachlechner , T. Birkenfeld , P. Soldin , A. Stahl , C. Wiebusch

We consider graph representation learning in a self-supervised manner. Graph neural networks (GNNs) use neighborhood aggregation as a core component that results in feature smoothing among nodes in proximity. While successful in various…

Machine Learning · Computer Science 2021-07-20 Wei Zhuo , Guang Tan

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Graph neural networks have emerged as a powerful model for graph representation learning to undertake graph-level prediction tasks. Various graph pooling methods have been developed to coarsen an input graph into a succinct graph-level…

Machine Learning · Computer Science 2021-09-27 Xiaowei Zhou , Jie Yin , Ivor W. Tsang

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

The task of graph node classification is often approached by utilizing a local Graph Neural Network (GNN), that learns only local information from the node input features and their adjacency. In this paper, we propose to improve the…

Machine Learning · Computer Science 2024-06-18 Moshe Eliasof , Eran Treister