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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

The convolutional layers of standard convolutional neural networks (CNNs) are equivariant to translation. However, the convolution and fully-connected layers are not equivariant or invariant to other affine geometric transformations.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Jaspreet Singh , Chandan Singh

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

In recent years, Classical Convolutional Neural Networks (CNNs) have been applied for image recognition successfully. Quantum Convolutional Neural Networks (QCNNs) are proposed as a novel generalization to CNNs by using quantum mechanisms.…

Quantum Physics · Physics 2023-12-04 Leting Zhouli , Peiyong Wang , Udaya Parampalli

Training a Convolutional Neural Network (CNN) to be robust against rotation has mostly been done with data augmentation. In this paper, another progressive vision of research direction is highlighted to encourage less dependence on data…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Sungwon Hwang , Hyungtae Lim , Hyun Myung

Invariances to translations have imbued convolutional neural networks with powerful generalization properties. However, we often do not know a priori what invariances are present in the data, or to what extent a model should be invariant to…

Machine Learning · Computer Science 2020-12-02 Gregory Benton , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

The translation equivariance of convolutional layers enables convolutional neural networks to generalize well on image problems. While translation equivariance provides a powerful inductive bias for images, we often additionally desire…

Machine Learning · Statistics 2020-09-25 Marc Finzi , Samuel Stanton , Pavel Izmailov , Andrew Gordon Wilson

Regularization in convolutional neural networks (CNNs) is usually addressed with dropout layers. However, dropout is sometimes detrimental in the convolutional part of a CNN as it simply sets to zero a percentage of pixels in the feature…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Juan P. Vigueras-Guillén , Joan Lasenby , Frank Seeliger

Training deep networks that generalize to a wide range of variations in test data is essential to building accurate and robust image classifiers. One standard strategy is to apply data augmentation to synthetically enlarge the training set.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Yunhan Zhao , Ye Tian , Charless Fowlkes , Wei Shen , Alan Yuille

The topic of achieving rotational invariance in convolutional neural networks (CNNs) has gained considerable attention recently, as this invariance is crucial for many computer vision tasks such as image classification and matching. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Hanlin Mo , Guoying Zhao

Translating or rotating an input image should not affect the results of many computer vision tasks. Convolutional neural networks (CNNs) are already translation equivariant: input image translations produce proportionate feature map…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

Convolutional neural networks (CNN's) are powerful and widely used tools. However, their interpretability is far from ideal. One such shortcoming is the difficulty of deducing a network's ability to generalize to unseen data. We use…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Rickard Brüel Gabrielsson , Gunnar Carlsson

Rotation invariance and translation invariance have great values in image recognition tasks. In this paper, we bring a new architecture in convolutional neural network (CNN) named cyclic convolutional layer to achieve rotation invariance in…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Shiyuan Li

While initially devised for image categorization, convolutional neural networks (CNNs) are being increasingly used for the pixelwise semantic labeling of images. However, the proper nature of the most common CNN architectures makes them…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Emmanuel Maggiori , Guillaume Charpiat , Yuliya Tarabalka , Pierre Alliez

Convolutional neural networks have shown great success on feature extraction from raw input data such as images. Although convolutional neural networks are invariant to translations on the inputs, they are not invariant to other…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Hongyang Gao , Shuiwang Ji

Toward a deeper understanding on the inner work of deep neural networks, we investigate CNN (convolutional neural network) using DCN (deconvolutional network) and randomization technique, and gain new insights for the intrinsic property of…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Kun He , Jingbo Wang , Haochuan Li , Yao Shu , Mengxiao Zhang , Man Zhu , Liwei Wang , John E. Hopcroft

Simple image rotations significantly reduce the accuracy of deep neural networks. Moreover, training with all possible rotations increases the data set, which also increases the training duration. In this work, we address trainable rotation…

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

For augmentation of the square-shaped image data of a convolutional neural network (CNN), we introduce a new method, in which the original images are mapped onto a disk with a conformal mapping, rotated around the center of this disk and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Oona Rainio , Mohamed M. S. Nasser , Matti Vuorinen , Riku Klén

Data augmentation refers to a group of techniques whose goal is to battle limited amount of available data to improve model generalization and push sample distribution toward the true distribution. While different augmentation strategies…

Quantitative Methods · Quantitative Biology 2020-06-03 Ruqian Hao , Khashayar Namdar , Lin Liu , Masoom A. Haider , Farzad Khalvati

Pre-trained deep image representations are useful for post-training tasks such as classification through transfer learning, image retrieval, and object detection. Data augmentations are a crucial aspect of pre-training robust…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Sangnie Bhardwaj , Willie McClinton , Tongzhou Wang , Guillaume Lajoie , Chen Sun , Phillip Isola , Dilip Krishnan