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Accurate classification of sleep stages is crucial for the diagnosis and management of sleep disorders. Conventional approaches for sleep scoring rely on manual annotation or features extracted from EEG signals in the time or frequency…

Machine Learning · Computer Science 2025-10-10 Mehdi Zekriyapanah Gashti , Ghasem Farjamnia

This paper describes a method for extracting rapidly varying, superimposed amplitude- and frequency-modulated signal components. The method is based upon the continuous wavelet transform (CWT) and uses a new wavelet which is a modification…

Mathematical Physics · Physics 2009-11-07 J. D. Harrop , S. N. Taraskin , S. R. Elliott

With the development and widespread use of wireless devices in recent years (mobile phones, Internet of Things, Wi-Fi), the electromagnetic spectrum has become extremely crowded. In order to counter security threats posed by rogue or…

Signal Processing · Electrical Eng. & Systems 2017-11-09 K. Youssef , Louis-S. Bouchard , K. Z. Haigh , H. Krovi , J. Silovsky , C. P. Vander Valk

We investigate the potential of neural-network based classifiers for discriminating gravitational wave bursts (GWBs) of a given canonical family (e.g. core-collapse supernova waveforms) from typical transient instrumental artifacts…

Instrumentation and Methods for Astrophysics · Physics 2014-01-24 Salvatore Rampone , Vincenzo Pierro , Luigi Troiano , Innocenzo M. Pinto

The numerical simulation of wave propagation in semiclassical (high-frequency) problems is well known to pose a formidable challenge. In this work, a new phase-space approach for the numerical simulation of semiclassical wave propagation,…

Analysis of PDEs · Mathematics 2008-10-30 Agissilaos G. Athanassoulis

Computational intelligence-based ocean characteristics forecasting applications, such as Significant Wave Height (SWH) prediction, are crucial for avoiding social and economic loss in coastal cities. Compared to the traditional…

Machine Learning · Computer Science 2021-07-21 Delong Chen , Fan Liu , Zheqi Zhang , Xiaomin Lu , Zewen Li

Neural network generalizability is becoming a broad research field due to the increasing availability of datasets from different sources and for various tasks. This issue is even wider when processing medical data, where a lack of…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Luigi Sigillo , Eleonora Grassucci , Aurelio Uncini , Danilo Comminiello

This is the first paper in a sequence of studies in which we introduce a new type of neural networks (NNs) -- wavelet-based neural networks (WBNNs) -- and study their properties and potential for applications. We begin this study with a…

Machine Learning · Computer Science 2022-11-02 Lubomir T. Dechevsky , Kristoffer M. Tangrand

Transformer architectures, underpinned by the self-attention mechanism, have achieved state-of-the-art results across numerous natural language processing (NLP) tasks by effectively modeling long-range dependencies. However, the…

Machine Learning · Computer Science 2025-04-15 Andrew Kiruluta , Priscilla Burity , Samantha Williams

There have been many efforts to correct systematic effects in astronomical light curves to improve the detection and characterization of planetary transits and astrophysical variability. Algorithms like the Trend Filtering Algorithm (TFA)…

Instrumentation and Methods for Astrophysics · Physics 2018-11-14 D. del Ser , O. Fors , J. Núñez

A sensor network is used for distributed joint mean and variance estimation, in a single time snapshot. Sensors observe a signal embedded in noise, which are phase modulated using a constant-modulus scheme and transmitted over a Gaussian…

Information Theory · Computer Science 2016-11-17 Mahesh K. Banavar , Cihan Tepedelenlioglu , Andreas Spanias

We present a machine learning model for the analysis of randomly generated discrete signals, modeled as the points of an inhomogeneous, compound Poisson point process. Like the wavelet scattering transform introduced by Mallat, our…

Statistics Theory · Mathematics 2021-10-12 Michael Perlmutter , Jieqian He , Matthew Hirn

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

The extensive adoption of web technologies in the finance and investment sectors has led to an explosion of financial data, which contributes to the complexity of the forecasting task. Traditional machine learning models exhibit limitations…

Machine Learning · Computer Science 2026-01-21 Renjun Jia , Zian Liu , Peng Zhu , Dawei Cheng , Yuqi Liang

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

The scattering transform is a non-linear signal representation method based on cascaded wavelet transform magnitudes. In this paper we introduce phase scattering, a novel approach where we use phase derivatives in a scattering procedure. We…

Sound · Computer Science 2024-07-09 Daniel Haider , Peter Balazs , Nicki Holighaus

Convolutional neural network (CNN), with ability of feature learning and nonlinear mapping, has demonstrated its effectiveness in prognostics and health management (PHM). However, explanation on the physical meaning of a CNN architecture…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Tianfu Li , Zhibin Zhao , Chuang Sun , Li Cheng , Xuefeng Chen , Ruqiang Yan , Robert X. Gao

This work investigates the problem of detecting gravitational wave (GW) events based on simulated damped sinusoid signals contaminated with white Gaussian noise. It is treated as a classification problem with one class for the interesting…

Instrumentation and Methods for Astrophysics · Physics 2020-06-01 Xiangru Li , Woliang Yu , Xilong Fan , G. Jogesh Babu

In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a harmonic analysis which is based on representations of the…

Functional Analysis · Mathematics 2007-05-23 Ola Bratteli , Palle E. T. Jorgensen

Most singer identification methods are processed in the frequency domain, which potentially leads to information loss during the spectral transformation. In this paper, instead of the frequency domain, we propose an end-to-end architecture…

Audio and Speech Processing · Electrical Eng. & Systems 2022-05-24 Xulong Zhang , Jianzong Wang , Ning Cheng , Jing Xiao