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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

Recent investigations on rotation invariance for 3D point clouds have been devoted to devising rotation-invariant feature descriptors or learning canonical spaces where objects are semantically aligned. Examinations of learning frameworks…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Jianhui Yu , Chaoyi Zhang , Weidong Cai

Over the last years, deep convolutional neural networks (ConvNets) have transformed the field of computer vision thanks to their unparalleled capacity to learn high level semantic image features. However, in order to successfully learn…

Computer Vision and Pattern Recognition · Computer Science 2018-03-22 Spyros Gidaris , Praveer Singh , Nikos Komodakis

Sparse local feature matching is pivotal for many computer vision and robotics tasks. To improve their invariance to challenging appearance conditions and viewing angles, and hence their usefulness, existing learning-based methods have…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Abhishek Peri , Kinal Mehta , Avneesh Mishra , Michael Milford , Sourav Garg , K. Madhava Krishna

The extension of convolutional neural networks (CNNs) to non-Euclidean geometries has led to multiple frameworks for studying manifolds. Many of those methods have shown design limitations resulting in poor modelling of long-range…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Simon Dahan , Logan Z. J. Williams , Abdulah Fawaz , Daniel Rueckert , Emma C. Robinson

This paper is focused on studying the view-manifold structure in the feature spaces implied by the different layers of Convolutional Neural Networks (CNN). There are several questions that this paper aims to answer: Does the learned CNN…

Computer Vision and Pattern Recognition · Computer Science 2016-06-21 Amr Bakry , Mohamed Elhoseiny , Tarek El-Gaaly , Ahmed Elgammal

Numerous studies have recently focused on incorporating different variations of equivariance in Convolutional Neural Networks (CNNs). In particular, rotation-equivariance has gathered significant attention due to its relevance in many…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Robin Ghyselinck , Valentin Delchevalerie , Bruno Dumas , Benoît Frénay

Convolutional neural networks or standard CNNs (StdCNNs) are translation-equivariant models that achieve translation invariance when trained on data augmented with sufficient translations. Recent work on equivariant models for a given group…

Machine Learning · Computer Science 2020-06-09 Sandesh Kamath , Amit Deshpande , K V Subrahmanyam

Equivariance is a nice property to have as it produces much more parameter efficient neural architectures and preserves the structure of the input through the feature mapping. Even though some combinations of transformations might never…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David W. Romero , Mark Hoogendoorn

Learning rotation-invariant distinctive features is a fundamental requirement for point cloud registration. Existing methods often use rotation-sensitive networks to extract features, while employing rotation augmentation to learn an…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Runzhao Yao , Shaoyi Du , Wenting Cui , Canhui Tang , Chengwu Yang

Convolution Neural Networks (CNNs) are widely used in medical image analysis, but their performance degrade when the magnification of testing images differ from the training images. The inability of CNNs to generalize across magnification…

Image and Video Processing · Electrical Eng. & Systems 2023-02-23 Pranav Jeevan , Nikhil Cherian Kurian , Amit Sethi

Unlike images which are represented in regular dense grids, 3D point clouds are irregular and unordered, hence applying convolution on them can be difficult. In this paper, we extend the dynamic filter to a new convolution operation, named…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Wenxuan Wu , Zhongang Qi , Li Fuxin

Convolutional neural network (CNN) is widely used in computer vision applications. In the networks that deal with images, CNNs are the most time-consuming layer of the networks. Usually, the solution to address the computation cost is to…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Meisam Rakhshanfar

With the advent of deep learning, estimating depth from a single RGB image has recently received a lot of attention, being capable of empowering many different applications ranging from path planning for robotics to computational…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Enis Simsar , Evin Pınar Örnek , Fabian Manhardt , Helisa Dhamo , Nassir Navab , Federico Tombari

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

Applying convolutional neural networks to large images is computationally expensive because the amount of computation scales linearly with the number of image pixels. We present a novel recurrent neural network model that is capable of…

Machine Learning · Computer Science 2014-06-25 Volodymyr Mnih , Nicolas Heess , Alex Graves , Koray Kavukcuoglu

Convolutional Neural Networks (CNNs) model long-range dependencies by deeply stacking convolution operations with small window sizes, which makes the optimizations difficult. This paper presents region-based non-local (RNL) operations as a…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Guoxi Huang , Adrian G. Bors

Deep convolutional networks have become the mainstream in computer vision applications. Although CNNs have been successful in many computer vision tasks, it is not free from drawbacks. The performance of CNN is dramatically degraded by…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Takashi Shibata , Masayuki Tanaka , Masatoshi Okutomi

Light-weight convolutional neural networks (CNNs) suffer performance degradation as their low computational budgets constrain both the depth (number of convolution layers) and the width (number of channels) of CNNs, resulting in limited…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Yinpeng Chen , Xiyang Dai , Mengchen Liu , Dongdong Chen , Lu Yuan , Zicheng Liu

Convolutional networks are successful, but they have recently been outperformed by new neural networks that are equivariant under rotations and translations. These new networks work better because they do not struggle with learning each…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Philip Müller , Vladimir Golkov , Valentina Tomassini , Daniel Cremers