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We develop a unified model, known as MgNet, that simultaneously recovers some convolutional neural networks (CNN) for image classification and multigrid (MG) methods for solving discretized partial differential equations (PDEs). This model…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Juncai He , Jinchao Xu

Graph Neural Networks (GNNs) have shown significant success for graph-based tasks. Motivated by the prevalence of large datasets in real-world applications, pooling layers are crucial components of GNNs. By reducing the size of input…

Machine Learning · Computer Science 2026-01-13 Katharina Limbeck , Lydia Mezrag , Guy Wolf , Bastian Rieck

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

In this work, we revisit the global average pooling layer proposed in [13], and shed light on how it explicitly enables the convolutional neural network to have remarkable localization ability despite being trained on image-level labels.…

Computer Vision and Pattern Recognition · Computer Science 2015-12-15 Bolei Zhou , Aditya Khosla , Agata Lapedriza , Aude Oliva , Antonio Torralba

Bilinear pooling has been recently proposed as a feature encoding layer, which can be used after the convolutional layers of a deep network, to improve performance in multiple vision tasks. Different from conventional global average pooling…

Computer Vision and Pattern Recognition · Computer Science 2018-04-02 Mengran Gou , Fei Xiong , Octavia Camps , Mario Sznaier

Convolutional Neural Networks (CNNs) are widely assumed to be translation-invariant, yet standard architectures exhibit a startling fragility: even a single-pixel shift can drastically degrade performance due to their reliance on spatially…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Nuria Alabau-Bosque , Jorge Vila-Tomas , Paula Dauden-Oliver , Valero Laparra , Jesus Malo

We propose a new method for creating computationally efficient convolutional neural networks (CNNs) by using low-rank representations of convolutional filters. Rather than approximating filters in previously-trained networks with more…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Yani Ioannou , Duncan Robertson , Jamie Shotton , Roberto Cipolla , Antonio Criminisi

Deep Convolutional Neural Networks (DCNN) have established a remarkable performance benchmark in the field of image classification, displacing classical approaches based on hand-tailored aggregations of local descriptors. Yet DCNNs impose…

Computer Vision and Pattern Recognition · Computer Science 2015-03-16 Praveen Kulkarni , Joaquin Zepeda , Frederic Jurie , Patrick Perez , Louis Chevallier

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

Deep learning has achieved a remarkable performance breakthrough in several fields, most notably in speech recognition, natural language processing, and computer vision. In particular, convolutional neural network (CNN) architectures…

Computer Vision and Pattern Recognition · Computer Science 2016-12-08 Federico Monti , Davide Boscaini , Jonathan Masci , Emanuele Rodolà , Jan Svoboda , Michael M. Bronstein

This paper proposes a novel Convolutional Neural Network model for contour data analysis (ContourCNN) and shape classification. A contour is a circular sequence of points representing a closed shape. For handling the cyclical property of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Ahmad Droby , Jihad El-Sana

Discrete Fourier transforms provide a significant speedup in the computation of convolutions in deep learning. In this work, we demonstrate that, beyond its advantages for efficient computation, the spectral domain also provides a powerful…

Machine Learning · Statistics 2015-06-12 Oren Rippel , Jasper Snoek , Ryan P. Adams

Pooling is a simple but essential layer in modern deep CNN architectures for feature aggregation and extraction. Typical CNN design focuses on the conv layers and activation functions, while leaving the pooling layers with fewer options. We…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Bor-Shiun Wang , Jun-Wei Hsieh , Ming-Ching Chang , Ping-Yang Chen , Lipeng Ke , Siwei Lyu

Convolutional Neural Networks (CNNs) have advanced significantly in visual representation learning and recognition. However, they face notable challenges in performance and computational efficiency when dealing with real-world, multi-scale…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Wenzhuo Liu , Fei Zhu , Cheng-Lin Liu

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

The Deep Convolutional Neural Networks (CNNs) have obtained a great success for pattern recognition, such as recognizing the texts in images. But existing CNNs based frameworks still have several drawbacks: 1) the traditaional pooling…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Zhao Zhang , Zemin Tang , Zheng Zhang , Yang Wang , Jie Qin , Meng Wang

Interest has been rising lately towards methods representing data in non-Euclidean spaces, e.g. hyperbolic or spherical, that provide specific inductive biases useful for certain real-world data properties, e.g. scale-free, hierarchical or…

Machine Learning · Computer Science 2020-05-20 Gregor Bachmann , Gary Bécigneul , Octavian-Eugen Ganea

Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert

Convolutional neural networks (CNNs), in a few decades, have outperformed the existing state of the art methods in classification context. However, in the way they were formalised, CNNs are bound to operate on euclidean spaces. Indeed,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Chloé Martineau , Romain Raveaux , Donatello Conte , Gilles Venturini

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
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