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This paper is concerned with a fundamental problem in geometric deep learning that arises in the construction of convolutional neural networks on surfaces. Due to curvature, the transport of filter kernels on surfaces results in a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Ruben Wiersma , Elmar Eisemann , Klaus Hildebrandt

Most image instance retrieval pipelines are based on comparison of vectors known as global image descriptors between a query image and the database images. Due to their success in large scale image classification, representations extracted…

Computer Vision and Pattern Recognition · Computer Science 2016-01-14 Olivier Morère , Antoine Veillard , Jie Lin , Julie Petta , Vijay Chandrasekhar , Tomaso Poggio

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Deep Convolutional Neural Networks (CNN) have exhibited superior performance in many visual recognition tasks including image classification, object detection, and scene label- ing, due to their large learning capacity and resistance to…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Miao Sun , Tony X. Han , Xun Xu , Ming-Chang Liu , Ahmad Khodayari-Rostamabad

The computer-aided diagnosis (CAD) system can provide a reference basis for the clinical diagnosis of skin diseases. Convolutional neural networks (CNNs) can not only extract visual elements such as colors and shapes but also semantic…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Yilan Zhang , Fengying Xie , Xuedong Song , Hangning Zhou , Yiguang Yang , Haopeng Zhang , Jie Liu

Introduction of Convolutional Neural Networks has improved results on almost every image-based problem and Content-Based Image Retrieval is not an exception. But the CNN features, being rotation invariant, creates problems to build a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Subhadip Maji , Smarajit Bose

Deep neural networks need a big amount of training data, while in the real world there is a scarcity of data available for training purposes. To resolve this issue unsupervised methods are used for training with limited data. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-02-10 Sayed Hashim , Muhammad Ali

We propose a framework for rotation and translation covariant deep learning using $SE(2)$ group convolutions. The group product of the special Euclidean motion group $SE(2)$ describes how a concatenation of two roto-translations results in…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Erik J Bekkers , Maxime W Lafarge , Mitko Veta , Koen AJ Eppenhof , Josien PW Pluim , Remco Duits

We present the group equivariant conditional neural process (EquivCNP), a meta-learning method with permutation invariance in a data set as in conventional conditional neural processes (CNPs), and it also has transformation equivariance in…

Machine Learning · Computer Science 2021-02-18 Makoto Kawano , Wataru Kumagai , Akiyoshi Sannai , Yusuke Iwasawa , Yutaka Matsuo

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

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of Cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are…

Biomolecules · Quantitative Biology 2014-03-19 Zhizhen Zhao , Amit Singer

In many imaging modalities, objects of interest can occur in a variety of locations and poses (i.e. are subject to translations and rotations in 2d or 3d), but the location and pose of an object does not change its semantics (i.e. the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Alireza Nasiri , Tristan Bepler

Equivariance to random image transformations is an effective method to learn landmarks of object categories, such as the eyes and the nose in faces, without manual supervision. However, this method does not explicitly guarantee that the…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 James Thewlis , Samuel Albanie , Hakan Bilen , Andrea Vedaldi

In this work, we focus on using convolution neural networks (CNN) to perform object recognition on the event data. In object recognition, it is important for a neural network to be robust to the variations of the data during testing. For…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Ziyun Wang

The inherent challenge of detecting symmetries stems from arbitrary orientations of symmetry patterns; a reflection symmetry mirrors itself against an axis with a specific orientation while a rotation symmetry matches its rotated copy with…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Ahyun Seo , Byungjin Kim , Suha Kwak , Minsu Cho

Invariance to nuisance transformations is one of the desirable properties of effective representations. We consider transformations that form a \emph{group} and propose an approach based on kernel methods to derive local group invariant…

Machine Learning · Computer Science 2017-05-25 Anant Raj , Abhishek Kumar , Youssef Mroueh , P. Thomas Fletcher , Bernhard Schölkopf

Robot manipulation relying on learned object-centric descriptors became popular in recent years. Visual descriptors can easily describe manipulation task objectives, they can be learned efficiently using self-supervision, and they can…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 David B. Adrian , Andras Gabor Kupcsik , Markus Spies , Heiko Neumann

Fully-supervised CNN-based approaches for learning local image descriptors have shown remarkable results in a wide range of geometric tasks. However, most of them require per-pixel ground-truth keypoint correspondence data which is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Iaroslav Melekhov , Zakaria Laskar , Xiaotian Li , Shuzhe Wang , Juho Kannala

Recent advances in image clustering typically focus on learning better deep representations. In contrast, we present an orthogonal approach that does not rely on abstract features but instead learns to predict image transformations and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Tom Monnier , Thibault Groueix , Mathieu Aubry

Exemplar learning of visual similarities in an unsupervised manner is a problem of paramount importance to Computer Vision. In this context, however, the recent breakthrough in deep learning could not yet unfold its full potential. With…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 Artsiom Sanakoyeu , Miguel A. Bautista , Björn Ommer