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Parameter estimation with non-Gaussian stochastic fields is a common challenge in astrophysics and cosmology. In this paper, we advocate performing this task using the scattering transform, a statistical tool sharing ideas with…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-07 Sihao Cheng , Yuan-Sen Ting , Brice Ménard , Joan Bruna

In this paper we propose integrating a priori knowledge into both design and training of convolutional neural networks (CNNs) to learn object representations that are invariant to affine transformations (i.e., translation, scale, rotation).…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Xenju Xu , Guanghui Wang , Alan Sullivan , Ziming Zhang

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

In many computer vision applications, images are acquired with arbitrary or random rotations and translations, and in such setups, it is desirable to obtain semantic representations disentangled from the image orientation. Examples of such…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Sehyun Kwon , Joo Young Choi , Ernest K. Ryu

We apply convolutional neural networks (CNN) to the problem of image orientation detection in the context of determining the correct orientation (from 0, 90, 180, and 270 degrees) of a consumer photo. The problem is especially important for…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Ujash Joshi , Michael Guerzhoy

In this work we study the inverse quantum scattering via deep learning regression, which is implemented via a Multilayer Perceptron. A step-by-step method is provided in order to obtain the potential parameters. A circular boundary-wall…

Computational Physics · Physics 2023-07-20 A. C. Maioli

Convolutional neural networks (CNNs) have been shown to both extract more information than the traditional two-point statistics from cosmological fields, and marginalise over astrophysical effects extremely well. However, CNNs require large…

Instrumentation and Methods for Astrophysics · Physics 2023-07-28 Christian Pedersen , Michael Eickenberg , Shirley Ho

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

Numerical Analysis · Mathematics 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

Establishing correspondences between 3D shapes is a fundamental task in 3D Computer Vision, typically addressed by matching local descriptors. Recently, a few attempts at applying the deep learning paradigm to the task have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Riccardo Spezialetti , Samuele Salti , Luigi Di Stefano

We propose a local-to-global representation learning algorithm for 3D point cloud data, which is appropriate to handle various geometric transformations, especially rotation, without explicit data augmentation with respect to the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Seohyun Kim , Jaeyoo Park , Bohyung Han

CNNs exhibit inherent equivariance to image translation, leading to efficient parameter and data usage, faster learning, and improved robustness. The concept of translation equivariant networks has been successfully extended to rotation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Tomáš Karella , Adam Harmanec , Jan Kotera , Jan Blažek , Filip Šroubek

The introduction of convolutional layers greatly advanced the performance of neural networks on image tasks due to innately capturing a way of encoding and learning translation-invariant operations, matching one of the underlying symmetries…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 Nicholas Guttenberg , Nathaniel Virgo , Olaf Witkowski , Hidetoshi Aoki , Ryota Kanai

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

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

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Not everybody can be equipped with professional photography skills and sufficient shooting time, and there can be some tilts in the captured images occasionally. In this paper, we propose a new and practical task, named Rotation Correction,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Lang Nie , Chunyu Lin , Kang Liao , Shuaicheng Liu , Yao Zhao

In this paper we challenge the common assumption that convolutional layers in modern CNNs are translation invariant. We show that CNNs can and will exploit the absolute spatial location by learning filters that respond exclusively to…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Osman Semih Kayhan , Jan C. van Gemert

Ideally, 360{\deg} imagery could inherit the deep convolutional neural networks (CNNs) already trained with great success on perspective projection images. However, existing methods to transfer CNNs from perspective to spherical images…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Yu-Chuan Su , Kristen Grauman

Invariant scattering transform introduces new area of research that merges the signal processing with deep learning for computer vision. Nowadays, Deep Learning algorithms are able to solve a variety of problems in medical sector. Medical…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Nafisa Labiba Ishrat Huda , Angona Biswas , MD Abdullah Al Nasim , Md. Fahim Rahman , Shoaib Ahmed

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser
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