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We introduce Group equivariant Convolutional Neural Networks (G-CNNs), a natural generalization of convolutional neural networks that reduces sample complexity by exploiting symmetries. G-CNNs use G-convolutions, a new type of layer that…

Machine Learning · Computer Science 2016-06-06 Taco S. Cohen , Max Welling

Graph Convolution Network (GCN) has attracted significant attention and become the most popular method for learning graph representations. In recent years, many efforts have been focused on integrating GCN into the recommender tasks and…

Machine Learning · Computer Science 2020-07-14 Kang Liu , Feng Xue , Richang Hong

Convolutional Neural Networks have revolutionized vision applications. There are image domains and representations, however, that cannot be handled by standard CNNs (e.g., spherical images, superpixels). Such data are usually processed…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 David Hart , Michael Whitney , Bryan Morse

Convolutional Neural Networks (CNNs) excel at extracting local features hierarchically, but their performance in capturing complex correlations hinges heavily on deep architectures, which are usually computationally demanding and difficult…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Chia-Wei Hsing , Wei-Lin Tu

Neural networks based on convolutional operations have achieved remarkable results in the field of deep learning, but there are two inherent flaws in standard convolutional operations. On the one hand, the convolution operation is confined…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Xin Zhang , Yingze Song , Tingting Song , Degang Yang , Yichen Ye , Jie Zhou , Liming Zhang

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

The majority of model-based learned image reconstruction methods in medical imaging have been limited to uniform domains, such as pixelated images. If the underlying model is solved on nonuniform meshes, arising from a finite element method…

Image and Video Processing · Electrical Eng. & Systems 2021-07-12 William Herzberg , Daniel B. Rowe , Andreas Hauptmann , Sarah J. Hamilton

Gaussian Markov random fields (GMRFs) are probabilistic graphical models widely used in spatial statistics and related fields to model dependencies over spatial structures. We establish a formal connection between GMRFs and convolutional…

Machine Learning · Statistics 2020-08-11 Per Sidén , Fredrik Lindsten

The effectiveness of Convolutional Neural Networks stems in large part from their ability to exploit the translation invariance that is inherent in many learning problems. Recently, it was shown that CNNs can exploit other invariances, such…

Machine Learning · Computer Science 2018-03-07 Emiel Hoogeboom , Jorn W. T. Peters , Taco S. Cohen , Max Welling

Light-weight convolutional neural networks (CNNs) suffer performance degradation as their low computational budgets constrain both the depth (number of convolution layers) and the width (number of channels) of CNNs, resulting in limited…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Yinpeng Chen , Xiyang Dai , Mengchen Liu , Dongdong Chen , Lu Yuan , Zicheng Liu

Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

Convolutional neural networks (CNNs) have enabled the state-of-the-art performance in many computer vision tasks. However, little effort has been devoted to establishing convolution in non-linear space. Existing works mainly leverage on the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Chen Wang , Jianfei Yang , Lihua Xie , Junsong Yuan

Deep learning-based speech enhancement methods have significantly improved speech quality and intelligibility. Convolutional neural networks (CNNs) have been proven to be essential components of many high-performance models. In this paper,…

Audio and Speech Processing · Electrical Eng. & Systems 2025-11-11 Dahan Wang , Xiaobin Rong , Shiruo Sun , Yuxiang Hu , Changbao Zhu , Jing Lu

Recent advances in deep convolutional neural networks (CNNs) have motivated researchers to adapt CNNs to directly model points in 3D point clouds. Modeling local structure has been proven to be important for the success of convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Shiyi Lan , Ruichi Yu , Gang Yu , Larry S. Davis

Fully convolutional network (FCN) is a seminal work for semantic segmentation. However, due to its limited receptive field, FCN cannot effectively capture global context information which is vital for semantic segmentation. As a result, it…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Xiaoyu Ren , Zhongying Deng , Jin Ye , Junjun He , Dongxu Yang

Few ideas have enjoyed as large an impact on deep learning as convolution. For any problem involving pixels or spatial representations, common intuition holds that convolutional neural networks may be appropriate. In this paper we show a…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Rosanne Liu , Joel Lehman , Piero Molino , Felipe Petroski Such , Eric Frank , Alex Sergeev , Jason Yosinski

Depthwise convolution is becoming increasingly popular in modern efficient ConvNets, but its kernel size is often overlooked. In this paper, we systematically study the impact of different kernel sizes, and observe that combining the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Mingxing Tan , Quoc V. Le

In this paper we present a methodology that uses convolutional neural networks (CNNs) for segmentation by iteratively growing predicted mask regions in each coordinate direction. The CNN is used to predict class probability scores in a…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 John Lagergren , Erica Rutter , Kevin Flores

Support Vector Machines (SVMs) rely heavily on the choice of the kernel function to map data into high-dimensional feature spaces. While the Gaussian Radial Basis Function (RBF) is the industry standard, its exponential decay makes it…

Machine Learning · Computer Science 2026-03-17 Gustavo Dorrego
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