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In this paper we explore tying together the ideas from Scattering Transforms and Convolutional Neural Networks (CNN) for Image Analysis by proposing a learnable ScatterNet. Previous attempts at tying them together in hybrid networks have…

Computer Vision and Pattern Recognition · Computer Science 2019-03-11 Fergal Cotter , Nick Kingsbury

Machine learning is becoming a popular tool to quantify galaxy morphologies and identify mergers. However, this technique relies on using an appropriate set of training data to be successful. By combining hydrodynamical simulations,…

Context. Convolutional neural networks (CNNs) are widely used for automated galaxy morphological classification in large surveys. However, projection effects, image artefacts, and intrinsic degeneracies limit reliable identification of…

Galaxy morphology is a fundamental quantity, that is essential not only for the full spectrum of galaxy-evolution studies, but also for a plethora of science in observational cosmology. While a rich literature exists on…

Astrophysics of Galaxies · Physics 2020-01-08 Garreth Martin , Sugata Kaviraj , Alex Hocking , Shaun C. Read , James E. Geach

A scattering transform defines a signal representation which is invariant to translations and Lipschitz continuous relatively to deformations. It is implemented with a non-linear convolution network that iterates over wavelet and modulus…

Computer Vision and Pattern Recognition · Computer Science 2011-12-07 Joan Bruna , Stéphane Mallat

Texture classification is an important and challenging problem in many image processing applications. While convolutional neural networks (CNNs) achieved significant successes for image classification, texture classification remains a…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Shin Fujieda , Kohei Takayama , Toshiya Hachisuka

We address the problem of morphological classification of galaxies from the Galaxy Zoo DECaLS dataset using classical machine learning techniques. Our approach employs a dimensionality reduction method followed by a classical classifier to…

Astrophysics of Galaxies · Physics 2025-04-23 Vasyl Semenov , Vitalii Tymchyshyn , Volodymyr Bezguba , Maksym Tsizh , Andrii Khlevniuk

Modern radio telescopes will daily generate data sets on the scale of exabytes for systems like the Square Kilometre Array (SKA). Massive data sets are a source of unknown and rare astrophysical phenomena that lead to discoveries.…

Instrumentation and Methods for Astrophysics · Physics 2023-05-08 Steven Ndung'u , Trienko Grobler , Stefan J. Wijnholds , Dimka Karastoyanova , George Azzopardi

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

Histology imaging is an essential diagnosis method to finalize the grade and stage of cancer of different tissues, especially for breast cancer diagnosis. Specialists often disagree on the final diagnosis on biopsy tissue due to the complex…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Yongxiang Huang , Albert Chi-shing Chung

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

Path loss prediction for wireless communications is highly dependent on the local environment. Propagation models including clutter information have been shown to significantly increase model accuracy. This paper explores the application of…

Machine Learning · Computer Science 2024-08-21 Ryan Dempsey , Jonathan Ethier

Numerical experiments demonstrate that deep neural network classifiers progressively separate class distributions around their mean, achieving linear separability on the training set, and increasing the Fisher discriminant ratio. We explain…

Machine Learning · Computer Science 2021-03-16 John Zarka , Florentin Guth , Stéphane Mallat

A scattering transform defines a locally translation invariant representation which is stable to time-warping deformations. It extends MFCC representations by computing modulation spectrum coefficients of multiple orders, through cascades…

Sound · Computer Science 2015-06-15 Joakim Andén , Stéphane Mallat

Deep learning models extract, before a final classification layer, features or patterns which are key for their unprecedented advantageous performance. However, the process of complex nonlinear feature extraction is not well understood, a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Roozbeh Yousefzadeh , Furong Huang

Scattering Networks were initially designed to elucidate the behavior of early layers in Convolutional Neural Networks (CNNs) over Euclidean spaces and are grounded in wavelets. In this work, we introduce a scattering transform on an…

Numerical Analysis · Mathematics 2025-05-28 Maria Teresa Arias , Davide Barbieri , Eugenio Hernández

The detection of gravitational waves has inaugurated the era of gravitational astronomy and opened new avenues for the multimessenger study of cosmic sources. Thanks to their sensitivity, the Advanced LIGO and Advanced Virgo interferometers…

General Relativity and Quantum Cosmology · Physics 2018-04-05 Massimiliano Razzano , Elena Cuoco

We propose a convolutional neural network (CNN) architecture for image classification based on subband decomposition of the image using wavelets. The proposed architecture decomposes the input image spectra into multiple critically sampled…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Pavel Sinha , Ioannis Psaromiligkos , Zeljko Zilic

Unknown class distributions in unlabelled astrophysical training data have previously been shown to detrimentally affect model performance due to dataset shift between training and validation sets. For radio galaxy classification, we…

Astrophysics of Galaxies · Physics 2022-07-19 Inigo Val Slijepcevic , Anna M. M. Scaife , Mike Walmsley , Micah Bowles
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