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Related papers: Rethinking pooling in graph neural networks

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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

We propose a novel graph pooling operation using cliques as the unit pool. As this approach is purely topological, rather than featural, it is more readily interpretable, a better analogue to image coarsening than filtering or pruning…

Machine Learning · Computer Science 2019-04-10 Enxhell Luzhnica , Ben Day , Pietro Lio'

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

In Graph Neural Networks (GNNs), hierarchical pooling operators generate local summaries of the data by coarsening the graph structure and the vertex features. While considerable attention has been devoted to analyzing the expressive power…

Machine Learning · Computer Science 2023-10-16 Filippo Maria Bianchi , Veronica Lachi

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 neural networks (GNNs) have emerged as a powerful tool for nonlinear processing of graph signals, exhibiting success in recommender systems, power outage prediction, and motion planning, among others. GNNs consists of a cascade of…

Machine Learning · Computer Science 2020-12-02 Fernando Gama , Joan Bruna , Alejandro Ribeiro

This paper reviews graph convolutional neural networks (GCNNs) through the lens of edge-variant graph filters. The edge-variant graph filter is a finite order, linear, and local recursion that allows each node, in each iteration, to weigh…

Machine Learning · Computer Science 2019-03-05 Elvin Isufi , Fernando Gama , Alejandro Ribeiro

While graph neural networks (GNNs) have been successful for node classification tasks and link prediction tasks in graph, learning graph-level representations still remains a challenge. For the graph-level representation, it is important to…

Machine Learning · Computer Science 2023-03-02 Sangseon Lee , Dohoon Lee , Yinhua Piao , Sun Kim

Graph convolutional neural networks (GCNNs) have emerged as powerful tools for analyzing graph-structured data, achieving remarkable success across diverse applications. However, the theoretical understanding of the stability of these…

Machine Learning · Computer Science 2025-10-28 Ning Zhang , Henry Kenlay , Li Zhang , Mihai Cucuringu , Xiaowen Dong

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

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

Machine Learning · Statistics 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

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

Inspired by convolutional neural networks on 1D and 2D data, graph convolutional neural networks (GCNNs) have been developed for various learning tasks on graph data, and have shown superior performance on real-world datasets. Despite their…

Machine Learning · Computer Science 2019-05-15 Saurabh Verma , Zhi-Li Zhang

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by…

Machine Learning · Computer Science 2021-06-15 Susheel Suresh , Vinith Budde , Jennifer Neville , Pan Li , Jianzhu Ma

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

Machine Learning · Computer Science 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro

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

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai 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

Graph convolutional neural networks (GCNNs) are nonlinear processing tools to learn representations from network data. A key property of GCNNs is their stability to graph perturbations. Current analysis considers deterministic perturbations…

Machine Learning · Computer Science 2021-06-22 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Graph Neural networks (GNNs) have recently become a powerful technique for many graph-related tasks including graph classification. Current GNN models apply different graph pooling methods that reduce the number of nodes and edges to learn…

Machine Learning · Computer Science 2023-03-08 Muhammad Ifte Khairul Islam , Max Khanov , Esra Akbas