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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

Explicit encoding of group actions in deep features makes it possible for convolutional neural networks (CNNs) to handle global deformations of images, which is critical to success in many vision tasks. This paper proposes to decompose the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-18 Xiuyuan Cheng , Qiang Qiu , Robert Calderbank , Guillermo Sapiro

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

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

Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

Machine Learning · Statistics 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

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

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

In many machine learning tasks it is desirable that a model's prediction transforms in an equivariant way under transformations of its input. Convolutional neural networks (CNNs) implement translational equivariance by construction; for…

Machine Learning · Computer Science 2018-03-20 Maurice Weiler , Fred A. Hamprecht , Martin Storath

This work investigates use of equivariant neural networks as efficient and high-performance frameworks for image reconstruction and denoising in nuclear medicine. Our work aims to tackle limitations of conventional Convolutional Neural…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Amirreza Hashemi , Yuemeng Feng , Arman Rahmim , Hamid Sabet

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

Incorporating group symmetry directly into the learning process has proved to be an effective guideline for model design. By producing features that are guaranteed to transform covariantly to the group actions on the inputs,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Liyao Gao , Guang Lin , Wei Zhu

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

In parallel with the success of CNNs to solve vision problems, there is a growing interest in developing methodologies to understand and visualize the internal representations of these networks. How the responses of a trained CNN encode the…

Computer Vision and Pattern Recognition · Computer Science 2015-11-18 Ivet Rafegas , Maria Vanrell

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

The translation equivariance of convolutions can make convolutional neural networks translation equivariant or invariant. Equivariance to other transformations (e.g. rotations, affine transformations, scalings) may also be desirable as soon…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

We analyze the role of rotational equivariance in convolutional neural networks (CNNs) applied to spherical images. We compare the performance of the group equivariant networks known as S2CNNs and standard non-equivariant CNNs trained with…

Machine Learning · Computer Science 2022-07-13 Jan E. Gerken , Oscar Carlsson , Hampus Linander , Fredrik Ohlsson , Christoffer Petersson , Daniel Persson

Scale is often seen as a given, disturbing factor in many vision tasks. When doing so it is one of the factors why we need more data during learning. In recent work scale equivariance was added to convolutional neural networks. It was shown…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Ivan Sosnovik , Artem Moskalev , Arnold Smeulders

Deep Convolutional Neural Networks (CNNs) for image classification successively alternate convolutions and downsampling operations, such as pooling layers or strided convolutions, resulting in lower resolution features the deeper the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-29 Ioannis Vezakis , Antonios Vezakis , Sofia Gourtsoyianni , Vassilis Koutoulidis , George K. Matsopoulos , Dimitrios Koutsouris

The tradeoff between receptive field size and efficiency is a crucial issue in low level vision. Plain convolutional networks (CNNs) generally enlarge the receptive field at the expense of computational cost. Recently, dilated filtering has…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Pengju Liu , Hongzhi Zhang , Kai Zhang , Liang Lin , Wangmeng Zuo
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