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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

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

Convolutional Neural Networks (CNNs) have shown impressive performance in computer vision tasks such as image classification, detection, and segmentation. Moreover, recent work in Generative Adversarial Networks (GANs) has highlighted the…

Machine Learning · Computer Science 2021-01-06 Samarth Sinha , Animesh Garg , Hugo Larochelle

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

Modern convolutional networks are not shift-invariant, as small input shifts or translations can cause drastic changes in the output. Commonly used downsampling methods, such as max-pooling, strided-convolution, and average-pooling, ignore…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Richard Zhang

Pooling layers are essential building blocks of convolutional neural networks (CNNs), to reduce computational overhead and increase the receptive fields of proceeding convolutional operations. Their goal is to produce downsampled volumes…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Alexandros Stergiou , Ronald Poppe

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

Convolutional Neural Networks (CNNs) are successful in various computer vision tasks. From an image and signal processing point of view, this success is counter-intuitive, as the inherent spatial pyramid design of most CNNs is apparently…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Julia Grabinski , Steffen Jung , Janis Keuper , Margret Keuper

Recent studies have shown that a Deep Convolutional Neural Network (DCNN) pretrained on a large image dataset can be used as a universal image descriptor, and that doing so leads to impressive performance for a variety of image…

Computer Vision and Pattern Recognition · Computer Science 2016-12-23 Lingqiao Liu , Chunhua Shen , Anton van den Hengel

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 neural networks (CNN) have led to many state-of-the-art results spanning through various fields. However, a clear and profound theoretical understanding of the forward pass, the core algorithm of CNN, is still lacking. In…

Machine Learning · Statistics 2017-02-02 Vardan Papyan , Yaniv Romano , Michael Elad

Graph Convolutional Networks (GCNs) can capture non-Euclidean spatial dependence between different brain regions. The graph pooling operator, a crucial element of GCNs, enhances the representation learning capability and facilitates the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Cheng Zhu , Jiayi Zhu , Xi Wu , Lijuan Zhang , Shuqi Yang , Ping Liang , Honghan Chen , Ying Tan

In modern computer vision tasks, convolutional neural networks (CNNs) are indispensable for image classification tasks due to their efficiency and effectiveness. Part of their superiority compared to other architectures, comes from the fact…

Machine Learning · Computer Science 2019-06-11 Vighnesh Birodkar , Hossein Mobahi , Dilip Krishnan , Samy Bengio

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 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

Bilinear pooling of Convolutional Neural Network (CNN) features [22, 23], and their compact variants [10], have been shown to be effective at fine-grained recognition, scene categorization, texture recognition, and visual question-answering…

Computer Vision and Pattern Recognition · Computer Science 2017-07-24 Tsung-Yu Lin , Subhransu Maji

The goal of this paper is to introduce pooling strategies for simplicial convolutional neural networks. Inspired by graph pooling methods, we introduce a general formulation for a simplicial pooling layer that performs: i) local aggregation…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Domenico Mattia Cinque , Claudio Battiloro , Paolo Di Lorenzo

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

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'

In convolutional neural networks (CNNs), pooling operations play important roles such as dimensionality reduction and deformation compensation. In general, max pooling, which is the most widely used operation for local pooling, is performed…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Takato Otsuzuki , Hideaki Hayashi , Yuchen Zheng , Seiichi Uchida