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The effectiveness of Convolutional Neural Networks (CNNs) has been substantially attributed to their built-in property of translation equivariance. However, CNNs do not have embedded mechanisms to handle other types of transformations. In…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Ivan Sosnovik , Michał Szmaja , Arnold Smeulders

The widespread success of convolutional neural networks may largely be attributed to their intrinsic property of translation equivariance. However, convolutions are not equivariant to variations in scale and fail to generalize to objects of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-21 Thomas Altstidl , An Nguyen , Leo Schwinn , Franz Köferl , Christopher Mutschler , Björn Eskofier , Dario Zanca

Even though convolutional neural networks (CNN) has achieved near-human performance in various computer vision tasks, its ability to tolerate scale variations is limited. The popular practise is making the model bigger first, and then train…

Computer Vision and Pattern Recognition · Computer Science 2014-11-25 Yichong Xu , Tianjun Xiao , Jiaxing Zhang , Kuiyuan Yang , Zheng Zhang

No existing spherical convolutional neural network (CNN) framework is both computationally scalable and rotationally equivariant. Continuous approaches capture rotational equivariance but are often prohibitively computationally demanding.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Jeremy Ocampo , Matthew A. Price , Jason D. McEwen

The ability of convolutional neural networks (CNNs) to recognize objects regardless of their position in the image is due to the translation-equivariance of the convolutional operation. Group-equivariant CNNs transfer this equivariance to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Thomas Wimmer , Vladimir Golkov , Hoai Nam Dang , Moritz Zaiss , Andreas Maier , Daniel Cremers

Encoding the scale information explicitly into the representation learned by a convolutional neural network (CNN) is beneficial for many computer vision tasks especially when dealing with multiscale inputs. We study, in this paper, a…

Machine Learning · Computer Science 2022-02-08 Wei Zhu , Qiang Qiu , Robert Calderbank , Guillermo Sapiro , Xiuyuan Cheng

In computer vision, models must be able to adapt to changes in image resolution to effectively carry out tasks such as image segmentation; This is known as scale-equivariance. Recent works have made progress in developing scale-equivariant…

Machine Learning · Computer Science 2023-11-07 Md Ashiqur Rahman , Raymond A. Yeh

Convolutional neural networks (CNNs) are essential tools for computer vision tasks, but they lack traditionally desired properties of extracted features that could further improve model performance, e.g., rotational equivariance. Such…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Yuexi Du , Jiazhen Zhang , Tal Zeevi , Nicha C. Dvornek , John A. Onofrey

We study the effect of injecting local scale equivariance into Convolutional Neural Networks. This is done by applying each convolutional filter at multiple scales. The output is a vector field encoding for the maximally activating scale…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Diego Marcos , Benjamin Kellenberger , Sylvain Lobry , Devis Tuia

We introduce deep scale-spaces (DSS), a generalization of convolutional neural networks, exploiting the scale symmetry structure of conventional image recognition tasks. Put plainly, the class of an image is invariant to the scale at which…

Machine Learning · Computer Science 2019-05-29 Daniel E. Worrall , Max Welling

Human face images usually appear with wide range of visual scales. The existing face representations pursue the bandwidth of handling scale variation via multi-scale scheme that assembles a finite series of predefined scales. Such…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Hailin Shi , Hang Du , Yibo Hu , Jun Wang , Dan Zeng , Ting Yao

The weight-sharing mechanism of convolutional kernels ensures translation-equivariance of convolution neural networks (CNNs). Recently, rotation-equivariance has been investigated. However, research on scale-equivariance or simultaneous…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Wei-Dong Qiao , Yang Xu , Hui Li

Regular group convolutional neural networks (G-CNNs) have been shown to increase model performance and improve equivariance to different geometrical symmetries. This work addresses the problem of SE(3), i.e., roto-translation equivariance,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Thijs P. Kuipers , Erik J. Bekkers

Most of the recent successful methods in accurate object detection build on the convolutional neural networks (CNN). However, due to the lack of scale normalization in CNN-based detection methods, the activated channels in the feature space…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Yonghyun Kim , Bong-Nam Kang , Daijin Kim

While scale-invariant modeling has substantially boosted the performance of visual recognition tasks, it remains largely under-explored in deep networks based image restoration. Naively applying those scale-invariant techniques (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Yuchen Fan , Jiahui Yu , Ding Liu , Thomas S. Huang

Convolutional neural networks (CNNs) have demonstrated remarkable results in image classification for benchmark tasks and practical applications. The CNNs with deeper architectures have achieved even higher performance recently thanks to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Ryo Takahashi , Takashi Matsubara , Kuniaki Uehara

Convolutional Neural Networks (CNNs) require large image corpora to be trained on classification tasks. The variation in image resolutions, sizes of objects and patterns depicted, and image scales, hampers CNN training and performance,…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Nanne van Noord , Eric Postma

The translational equivariant nature of Convolutional Neural Networks (CNNs) is a reason for its great success in computer vision. However, networks do not enjoy more general equivariance properties such as rotation or scaling, ultimately…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Zikai Sun , Thierry Blu

Standard convolutional neural networks(CNNs) require consistent image resolutions in both training and testing phase. However, in practice, testing with smaller image sizes is necessary for fast inference. We show that trivially evaluating…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Zhuoran Yu , Aojun Zhou , Yukun Ma , Yudian Li , Xiaohan Zhang , Ping Luo

Digital histopathology slides are scanned and viewed under different magnifications and stored as images at different resolutions. Convolutional Neural Networks (CNNs) trained on such images at a given scale fail to generalise to those at…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yilong Yang , Srinandan Dasmahapatra , Sasan Mahmoodi
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