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Convolutional neural networks (CNNs) have achieved remarkable performance in many applications, especially in image recognition tasks. As a crucial component of CNNs, sub-sampling plays an important role for efficient training or invariance…

Machine Learning · Computer Science 2020-03-17 Hayoung Eom , Heeyoul Choi

Graph neural networks have emerged as a leading architecture for many graph-level tasks, such as graph classification and graph generation. As an essential component of the architecture, graph pooling is indispensable for obtaining a…

Machine Learning · Computer Science 2023-06-23 Chuang Liu , Yibing Zhan , Jia Wu , Chang Li , Bo Du , Wenbin Hu , Tongliang Liu , Dacheng Tao

Convolutional Neural Networks (CNNs) use pooling to decrease the size of activation maps. This process is crucial to increase the receptive fields and to reduce computational requirements of subsequent convolutions. An important feature of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Alexandros Stergiou , Ronald Poppe , Grigorios Kalliatakis

In most convolution neural networks (CNNs), downsampling hidden layers is adopted for increasing computation efficiency and the receptive field size. Such operation is commonly so-called pooling. Maximation and averaging over sliding…

Computer Vision and Pattern Recognition · Computer Science 2020-10-12 Hao Zhang , Jianwei Ma

Feature learning on point clouds has shown great promise, with the introduction of effective and generalizable deep learning frameworks such as pointnet++. Thus far, however, point features have been abstracted in an independent and…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Chu Wang , Babak Samari , Kaleem Siddiqi

Graph neural networks have attracted wide attentions to enable representation learning of graph data in recent works. In complement to graph convolution operators, graph pooling is crucial for extracting hierarchical representation of graph…

Machine Learning · Computer Science 2020-06-22 Xing Gao , Wenrui Dai , Chenglin Li , Hongkai Xiong , Pascal Frossard

This paper proposes convolutional filtering for data whose structure can be modeled by a simplicial complex (SC). SCs are mathematical tools that not only capture pairwise relationships as graphs but account also for higher-order network…

Signal Processing · Electrical Eng. & Systems 2022-12-19 Elvin Isufi , Maosheng Yang

In this paper, we develop a novel local graph pooling method, namely the Separated Subgraph-based Hierarchical Pooling (SSHPool), for graph classification. We commence by assigning the nodes of a sample graph into different clusters,…

Artificial Intelligence · Computer Science 2024-08-14 Zhuo Xu , Lixin Cui , Ming Li , Yue Wang , Ziyu Lyu , Hangyuan Du , Lu Bai , Philip S. Yu , Edwin R. Hancock

Graph neural networks (GNNs) have been used effectively in different applications involving the processing of signals on irregular structures modeled by graphs. Relying on the use of shift-invariant graph filters, GNNs extend the operation…

Machine Learning · Computer Science 2020-03-05 Alejandro Parada-Mayorga , Luana Ruiz , 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

Pooling operations, which can be calculated at low cost and serve as a linear or nonlinear transfer function for data reduction, are found in almost every modern neural network. Countless modern approaches have already tackled replacing the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Wolfgang Fuhl , Enkelejda Kasneci

Graph Neural Networks (GNNs), which generalize deep neural networks to graph-structured data, have drawn considerable attention and achieved state-of-the-art performance in numerous graph related tasks. However, existing GNN models mainly…

Machine Learning · Computer Science 2019-12-30 Zhen Zhang , Jiajun Bu , Martin Ester , Jianfeng Zhang , Chengwei Yao , Zhi Yu , Can Wang

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

The pooling operation is a cornerstone element of convolutional neural networks. These elements generate receptive fields for neurons, in which local perturbations should have minimal effect on the output activations, increasing robustness…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Dóra Babicz , Soma Kontár , Márk Pető , András Fülöp , Gergely Szabó , András Horváth

Graph classification is an important problem with applications across many domains, like chemistry and bioinformatics, for which graph neural networks (GNNs) have been state-of-the-art (SOTA) methods. GNNs are designed to learn node-level…

Machine Learning · Computer Science 2021-08-25 Lanning Wei , Huan Zhao , Quanming Yao , Zhiqiang He

A number of recent studies have shown that a Deep Convolutional Neural Network (DCNN) pretrained on a large dataset can be adopted as a universal image description which leads to astounding performance in many visual classification tasks.…

Computer Vision and Pattern Recognition · Computer Science 2014-12-01 Lingqiao Liu , Chunhua Shen , Anton van den Hengel

Two architectures that generalize convolutional neural networks (CNNs) for the processing of signals supported on graphs are introduced. We start with the selection graph neural network (GNN), which replaces linear time invariant filters…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

Graph pooling that summaries the information in a large graph into a compact form is essential in hierarchical graph representation learning. Existing graph pooling methods either suffer from high computational complexity or cannot capture…

Machine Learning · Computer Science 2021-06-01 Yunsheng Pang , Yunxiang Zhao , Dongsheng Li

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

Most convolutional neural networks use some method for gradually downscaling the size of the hidden layers. This is commonly referred to as pooling, and is applied to reduce the number of parameters, improve invariance to certain…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Faraz Saeedan , Nicolas Weber , Michael Goesele , Stefan Roth