Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125567
Abstract: Abstract In this paper, we study the inverse scattering transform for the coupled modified Korteweg-de Vries (cmKdV) equation with nonzero boundary conditions (NZBCs) at infinity. In order to deal with the direct and inverse scattering… read more here.
Keywords: coupled modified; modified korteweg; korteweg vries; scattering transform ... See more keywords
Inverse scattering transform for two-level systems with nonzero background
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5084720
Abstract: We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of equations describing the resonant interaction of light and active optical media in the case when the light intensity does not vanish at infinity.… read more here.
Keywords: soliton solutions; scattering transform; nonzero background; inverse scattering ... See more keywords
Constraining primordial non-Gaussianity from large scale structure with the wavelet scattering transform
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2024/07/021
Abstract: We investigate the Wavelet Scattering Transform (WST) as a tool for the study of Primordial non-Gaussianity (PNG) in Large Scale Structure (LSS), and compare its performance with that achievable via a joint analysis with power… read more here.
Keywords: scattering transform; wavelet scattering; scale structure; non gaussianity ... See more keywords
Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2024/11/061
Abstract: We present the first application of the Wavelet Scattering Transform (WST) in order to constrain the nature of gravity using the three-dimensional (3D) large-scale structure of the universe. Utilizing the Quijote-MG N-body simulations, we can… read more here.
Keywords: wavelet scattering; scattering transform; gravity; large scale ... See more keywords
Cosmological constraints from weak lensing scattering transform using HSC Y1 data
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2025/01/006
Abstract: As weak lensing surveys go deeper, there is an increasing need for reliable characterization of non-Gaussian structures at small angular scales. Here we present the first cosmological constraints with weak lensing scattering transform, a statistical… read more here.
Keywords: scattering transform; lensing scattering; cosmological constraints; weak lensing ... See more keywords
Anomalous errors of direct scattering transform.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.101.052206
Abstract: Theory of direct scattering transform for nonlinear wave fields containing solitons is revisited to overcome fundamental difficulties hindering its stable numerical implementation. With the focusing one-dimensional nonlinear Schrödinger equation serving as a model, we study… read more here.
Keywords: errors direct; wave fields; direct scattering; scattering transform ... See more keywords
Mallat’s Scattering Transform Based Anomaly Sensing for Detection of Seizures in Scalp EEG
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Access"
DOI: 10.1109/access.2017.2736014
Abstract: Epilepsy is one of the most common neurological disorders, which manifests as unprovoked seizures. The prevalence of epilepsy is higher in developing countries, where medical facilities are ill-equipped and under-staffed. Mobile EEG devices promise a… read more here.
Keywords: detection; anomaly sensing; mallat scattering; transform based ... See more keywords
Hand Gesture Recognition With Acoustic Myography and Wavelet Scattering Transform
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3212146
Abstract: In the past decade, improving upper limb prostheses control methods with pattern recognition (PR) has been the focus of an extended amount of research. However, several challenges associated with the processing of the Electromyogram (EMG)… read more here.
Keywords: recognition; scattering transform; wavelet scattering; amg ... See more keywords
Exploiting Wavelet Scattering Transform and 1D-CNN for Unmanned Aerial Vehicle Detection
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2024.3421961
Abstract: Recent advancements in Unmanned Aerial Vehicles (UAVs) have prompted concerns regarding their potential misuse. Deep-learning techniques offer superior detection capabilities compared to traditional rule-based approaches, provided the training dataset is diverse and sufficiently large. We… read more here.
Keywords: detection; wavelet scattering; cnn; scattering transform ... See more keywords
3-D Fourier Scattering Transform and Classification of Hyperspectral Images
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2020.3040203
Abstract: Recent developments in machine learning and signal processing have resulted in many new techniques that are able to effectively capture the intrinsic yet complex properties of hyperspectral imagery (HSI). Tasks ranging from anomaly detection to… read more here.
Keywords: transform classification; classification; classification hyperspectral; fourier scattering ... See more keywords
Machine-Learning Informed Representations for Grain Boundary Structures
Sign Up to like & getrecommendations! Published in 2019 at "Frontiers in Materials"
DOI: 10.3389/fmats.2019.00168
Abstract: The atomic structure of grain boundaries plays a defining but poorly understood role in the properties they exhibit. Due to the complex nature of these structures, machine learning is a natural tool for extracting meaningful… read more here.
Keywords: grain boundary; machine learning; structure; scattering transform ... See more keywords