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Pose estimation, i.e. predicting a 3D rigid transformation with respect to a fixed co-ordinate frame in, SE(3), is an omnipresent problem in medical image analysis with applications such as: image rigid registration, anatomical standard…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Benjamin Hou , Nina Miolane , Bishesh Khanal , Matthew C. H. Lee , Amir Alansary , Steven McDonagh , Jo V. Hajnal , Daniel Rueckert , Ben Glocker , Bernhard Kainz

We propose a new set of rotationally and translationally invariant features for image or pattern recognition and classification. The new features are cubic polynomials in the pixel intensities and provide a richer representation of the…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Risi Kondor

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

Semantic segmentation of electron microscopy (EM) is an essential step to efficiently obtain reliable morphological statistics. Despite the great success achieved using deep convolutional neural networks (CNNs), they still produce coarse…

Computer Vision and Pattern Recognition · Computer Science 2021-01-11 Zhimin Yuan , Xiaofen Ma , Jiajin Yi , Zhengrong Luo , Jialin Peng

Although provably robust to translational perturbations, convolutional neural networks (CNNs) are known to suffer from extreme performance degradation when presented at test time with more general geometric transformations of inputs.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Lachlan Ewen MacDonald , Sameera Ramasinghe , Simon Lucey

Incorporating symmetries can lead to highly data-efficient and generalizable models by defining equivalence classes of data samples related by transformations. However, characterizing how transformations act on input data is often…

Machine Learning · Computer Science 2022-07-04 Jung Yeon Park , Ondrej Biza , Linfeng Zhao , Jan Willem van de Meent , Robin Walters

Analyzing volumetric data with rotational invariance or equivariance is an active topic in current research. Existing deep-learning approaches utilize either group convolutional networks limited to discrete rotations or steerable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Dmitrii Zhemchuzhnikov , Sergei Grudinin

In this paper, we propose a novel medical image segmentation using iterative deep learning framework. We have combined an iterative learning approach and an encoder-decoder network to improve segmentation results, which enables to precisely…

Computer Vision and Pattern Recognition · Computer Science 2017-08-14 Jung Uk Kim , Hak Gu Kim , Yong Man Ro

This paper presents a new regularization method to train a fully convolutional network for semantic tissue segmentation in histopathological images. This method relies on the benefit of unsupervised learning, in the form of image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 C. T. Sari , C. Sokmensuer , C. Gunduz-Demir

Convolutional neural networks (CNNs) have achieved state-of-the-art performance for automatic medical image segmentation. However, they have not demonstrated sufficiently accurate and robust results for clinical use. In addition, they are…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Guotai Wang , Wenqi Li , Maria A. Zuluaga , Rosalind Pratt , Premal A. Patel , Michael Aertsen , Tom Doel , Anna L. David , Jan Deprest , Sebastien Ourselin , Tom Vercauteren

Understanding how neural representations respond to geometric transformations is essential for evaluating whether learned features preserve meaningful spatial structure. Existing approaches primarily assess robustness primarily by comparing…

Machine Learning · Computer Science 2026-05-12 Huahua Lin , Katayoun Farrahi , Xiaohao Cai

In this paper, we introduce group convolutional neural networks (GCNNs) equivariant to color variation. GCNNs have been designed for a variety of geometric transformations from 2D and 3D rotation groups, to semi-groups such as scale.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Yulong Yang , Felix O'Mahony , Christine Allen-Blanchette

Convolutional neural networks have been extremely successful in the image recognition domain because they ensure equivariance to translations. There have been many recent attempts to generalize this framework to other domains, including…

Machine Learning · Statistics 2018-11-13 Risi Kondor , Shubhendu Trivedi

End-to-end learning for visual robotic manipulation is known to suffer from sample inefficiency, requiring large numbers of demonstrations. The spatial roto-translation equivariance, or the SE(3)-equivariance can be exploited to improve the…

Robotics · Computer Science 2023-11-08 Hyunwoo Ryu , Hong-in Lee , Jeong-Hoon Lee , Jongeun Choi

Rotational invariance is a popular inductive bias used by many fields in machine learning, such as computer vision and machine learning for quantum chemistry. Rotation-invariant machine learning methods set the state of the art for many…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Owen Melia , Eric Jonas , Rebecca Willett

Recently, researchers have started applying convolutional neural networks (CNNs) with one-dimensional convolutions to clinical tasks involving time-series data. This is due, in part, to their computational efficiency, relative to recurrent…

Machine Learning · Computer Science 2019-02-19 Jeeheh Oh , Jiaxuan Wang , Jenna Wiens

Convolutional neural networks (CNNs) are inherently limited to model geometric transformations due to the fixed geometric structures in its building modules. In this work, we introduce two new modules to enhance the transformation modeling…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Jifeng Dai , Haozhi Qi , Yuwen Xiong , Yi Li , Guodong Zhang , Han Hu , Yichen Wei

Automated detection of curvilinear structures, e.g., blood vessels or nerve fibres, from medical and biomedical images is a crucial early step in automatic image interpretation associated to the management of many diseases. Precise…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Lei Mou , Yitian Zhao , Huazhu Fu , Yonghuai Liu , Jun Cheng , Yalin Zheng , Pan Su , Jianlong Yang , Li Chen , Alejandro F Frang , Masahiro Akiba , Jiang Liu

When seeing a new object, humans can immediately recognize it across different retinal locations: the internal object representation is invariant to translation. It is commonly believed that Convolutional Neural Networks (CNNs) are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Valerio Biscione , Jeffrey S. Bowers

Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures are not well suited. Our goal in this paper is to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-09 Jose J. Bouza , Chun-Hao Yang , David Vaillancourt , Baba C. Vemuri