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Omnidirectional images and spherical representations of $3D$ shapes cannot be processed with conventional 2D convolutional neural networks (CNNs) as the unwrapping leads to large distortion. Using fast implementations of spherical and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Suhas Lohit , Shubhendu Trivedi

We present a method for learning discriminative filters using a shallow Convolutional Neural Network (CNN). We encode rotation invariance directly in the model by tying the weights of groups of filters to several rotated versions of the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Diego Marcos , Michele Volpi , Devis Tuia

Convolutional neural networks have shown great success on feature extraction from raw input data such as images. Although convolutional neural networks are invariant to translations on the inputs, they are not invariant to other…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Hongyang Gao , Shuiwang Ji

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

Performance of neural networks can be significantly improved by encoding known invariance for particular tasks. Many image classification tasks, such as those related to cellular imaging, exhibit invariance to rotation. We present a novel…

Machine Learning · Statistics 2018-06-01 Benjamin Chidester , Minh N. Do , Jian Ma

Dictionary learning algorithms or supervised deep convolution networks have considerably improved the efficiency of predefined feature representations such as SIFT. We introduce a deep scattering convolution network, with predefined wavelet…

Computer Vision and Pattern Recognition · Computer Science 2015-06-02 Edouard Oyallon , Stéphane Mallat

Rotation invariance and translation invariance have great values in image recognition tasks. In this paper, we bring a new architecture in convolutional neural network (CNN) named cyclic convolutional layer to achieve rotation invariance in…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Shiyuan Li

Convolutional Neural Networks (CNN) offer state of the art performance in various computer vision tasks. Many of those tasks require different subtypes of affine invariances (scale, rotational, translational) to image transformations.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Facundo Manuel Quiroga , Franco Ronchetti , Laura Lanzarini , Aurelio Fernandez-Bariviera

Recent progresses in 3D deep learning has shown that it is possible to design special convolution operators to consume point cloud data. However, a typical drawback is that rotation invariance is often not guaranteed, resulting in networks…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Zhiyuan Zhang , Binh-Son Hua , David W. Rosen , Sai-Kit Yeung

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Jinpyo Kim , Wooekun Jung , Hyungmo Kim , Jaejin Lee

A desireable property of accelerometric gait-based identification systems is robustness to new device orientations presented by users during testing but unseen during the training phase. However, traditional Convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Bowen Jing , Vinay Prabhu , Angela Gu , John Whaley

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

Coherent imaging through scatter is a challenging task in computational imaging. Both model-based and data-driven approaches have been explored to solve the inverse scattering problem. In our previous work, we have shown that a deep…

Optics · Physics 2021-02-03 Yuzhe Li , Shiyi Cheng , Yujia Xue , Lei Tian

Toward a deeper understanding on the inner work of deep neural networks, we investigate CNN (convolutional neural network) using DCN (deconvolutional network) and randomization technique, and gain new insights for the intrinsic property of…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Kun He , Jingbo Wang , Haochuan Li , Yao Shu , Mengxiao Zhang , Man Zhu , Liwei Wang , John E. Hopcroft

Partial differential equation (PDE) models and their associated variational energy formulations are often rotationally invariant by design. This ensures that a rotation of the input results in a corresponding rotation of the output, which…

Machine Learning · Computer Science 2022-03-21 Tobias Alt , Karl Schrader , Joachim Weickert , Pascal Peter , Matthias Augustin

Achieving rotation invariance in deep neural networks without relying on data has always been a hot research topic. Intrinsic rotation invariance can enhance the model's feature representation capability, enabling better performance in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Hanlin Mo , Guoying Zhao

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

A wavelet scattering network computes a translation invariant image representation, which is stable to deformations and preserves high frequency information for classification. It cascades wavelet transform convolutions with non-linear…

Computer Vision and Pattern Recognition · Computer Science 2012-03-09 Joan Bruna , Stéphane Mallat

Recently, many deep neural networks were designed to process 3D point clouds, but a common drawback is that rotation invariance is not ensured, leading to poor generalization to arbitrary orientations. In this paper, we introduce a new…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Xianzhi Li , Ruihui Li , Guangyong Chen , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

In this work we investigate how to achieve equivariance to input transformations in deep networks, purely from data, without being given a model of those transformations. Convolutional Neural Networks (CNNs), for example, are equivariant to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Jianbo Jiao , João F. Henriques
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