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From early image processing to modern computational imaging, successful models and algorithms have relied on a fundamental property of natural signals: symmetry. Here symmetry refers to the invariance property of signal sets to…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Dongdong Chen , Mike Davies , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb , Ferdia Sherry , Julián Tachella

Despite the recent active research on processing point clouds with deep networks, few attention has been on the sensitivity of the networks to rotations. In this paper, we propose a deep learning architecture that achieves discrete…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Jiaxin Li , Yingcai Bi , Gim Hee Lee

Group Convolutional Neural Networks (G-CNNs) constrain learned features to respect the symmetries in the selected group, and lead to better generalization when these symmetries appear in the data. If this is not the case, however,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 David W. Romero , Suhas Lohit

Rotation is among the long prevailing, yet still unresolved, hard challenges encountered in visual object tracking. The existing deep learning-based tracking algorithms use regular CNNs that are inherently translation equivariant, but not…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Deepak K. Gupta , Devanshu Arya , Efstratios Gavves

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

Robustness to transformation is desirable in many computer vision tasks, given that input data often exhibits pose variance. While translation invariance and equivariance is a documented phenomenon of CNNs, sensitivity to other…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Felix Richards , Adeline Paiement , Xianghua Xie , Elisabeth Sola , Pierre-Alain Duc

Learning transformation invariant representations of visual data is an important problem in computer vision. Deep convolutional networks have demonstrated remarkable results for image and video classification tasks. However, they have…

Computer Vision and Pattern Recognition · Computer Science 2017-03-02 Renata Khasanova , Pascal Frossard

Deep neural networks face numerous challenges in hyperspectral image classification, including high-dimensional data, sparse ground object distributions, and spectral redundancy, which often lead to classification overfitting and limited…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Guandong Li , Mengxia Ye

Equivariant networks have been adopted in many 3-D learning areas. Here we identify a fundamental limitation of these networks: their ambiguity to symmetries. Equivariant networks cannot complete symmetry-dependent tasks like segmenting a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Sidhika Balachandar , Adrien Poulenard , Congyue Deng , Leonidas Guibas

Several popular approaches to 3D vision tasks process multiple views of the input independently with deep neural networks pre-trained on natural images, achieving view permutation invariance through a single round of pooling over all views.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Carlos Esteves , Yinshuang Xu , Christine Allen-Blanchette , Kostas Daniilidis

Semantic segmentation is an important branch of image processing and computer vision. With the popularity of deep learning, various convolutional neural networks have been proposed for pixel-level classification and segmentation tasks. In…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Xinyu Xu , Huazhen Liu , Tao Zhang , Huilin Xiong , Wenxian Yu

Traditional architectures for solving computer vision problems and the degree of success they enjoyed have been heavily reliant on hand-crafted features. However, of late, deep learning techniques have offered a compelling alternative --…

Computer Vision and Pattern Recognition · Computer Science 2016-01-26 Suraj Srinivas , Ravi Kiran Sarvadevabhatla , Konda Reddy Mopuri , Nikita Prabhu , Srinivas S S Kruthiventi , R. Venkatesh Babu

Object segmentation and structure localization are important steps in automated image analysis pipelines for microscopy images. We present a convolution neural network (CNN) based deep learning architecture for segmentation of objects in…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Shan E Ahmed Raza , Linda Cheung , Muhammad Shaban , Simon Graham , David Epstein , Stella Pelengaris , Michael Khan , Nasir M. Rajpoot

Self-supervised image denoising methods have garnered significant research attention in recent years, for this kind of method reduces the requirement of large training datasets. Compared to supervised methods, self-supervised methods rely…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Hanze Liu , Jiahong Fu , Qi Xie , Deyu Meng

Invariance and equivariance to the rotation group have been widely discussed in the 3D deep learning community for pointclouds. Yet most proposed methods either use complex mathematical tools that may limit their accessibility, or are tied…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Congyue Deng , Or Litany , Yueqi Duan , Adrien Poulenard , Andrea Tagliasacchi , Leonidas Guibas

Automated segmentation plays a pivotal role in medical image analysis and computer-assisted interventions. Despite the promising performance of existing methods based on convolutional neural networks (CNNs), they neglect useful equivariant…

Image and Video Processing · Electrical Eng. & Systems 2025-01-27 Jiazhen Zhang , Yuexi Du , Nicha C. Dvornek , John A. Onofrey

The block-based coding structure in the hybrid video coding framework inevitably introduces compression artifacts such as blocking, ringing, etc. To compensate for those artifacts, extensive filtering techniques were proposed in the loop of…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Wei Jia , Li Li , Zhu Li , xiang zhang , Shan Liu

Deep learning architectures are showing great promise in various computer vision domains including image classification, object detection, event detection and action recognition. In this study, we investigate various aspects of…

Computer Vision and Pattern Recognition · Computer Science 2016-08-08 Hilal Ergun , Mustafa Sert

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

Binary Neural Network (BNN) shows its predominance in reducing the complexity of deep neural networks. However, it suffers severe performance degradation. One of the major impediments is the large quantization error between the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Mingbao Lin , Rongrong Ji , Zihan Xu , Baochang Zhang , Yan Wang , Yongjian Wu , Feiyue Huang , Chia-Wen Lin