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The analysis of multivariate time series data is challenging due to the various frequencies of signal changes that can occur over both short and long terms. Furthermore, standard deep learning models are often unsuitable for such datasets,…

Machine Learning · Computer Science 2023-06-21 Iman Deznabi , Madalina Fiterau

The widespread use of sensors in modern power grids has led to the accumulation of large amounts of voltage and current waveform data, especially during fault events. However, the lack of labeled datasets poses a significant challenge for…

Machine Learning · Computer Science 2025-05-26 Julian Oelhaf , Georg Kordowich , Andreas Maier , Johann Jager , Siming Bayer

Conventional frequency-domain full-waveform inversion (FWI) is typically implemented with an $L^2$ misfit function, which suffers from challenges such as cycle skipping and sensitivity to noise. While the Wasserstein metric has proven…

Optimization and Control · Mathematics 2025-10-10 Zhijun Zeng , Matej Neumann , Yunan Yang

We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new method for wavelet phase reconstruction from magnitude-only…

Numerical Analysis · Mathematics 2024-09-23 Nicki Holighaus , Günther Koliander , Zdenĕk Průša , Luis Daniel Abreu

Remote photo-plethysmography (rPPG) uses a remotely placed camera to estimating a person's heart rate (HR). Similar to how heart rate can provide useful information about a person's vital signs, insights about the underlying…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Amogh Gudi , Marian Bittner , Roelof Lochmans , Jan van Gemert

Seismocardiography (SCG) is a non-invasive method that can be used for cardiac activity monitoring. This paper presents a new electrocardiogram (ECG) independent approach for estimating heart rate (HR) during low and high lung volume (LLV…

Signal Processing · Electrical Eng. & Systems 2019-02-04 Amirtaha Taebi , Andrew J Bomar , Richard H Sandler , Hansen A Mansy

Traditional data collection from sensors produce a lot of data, which lead to constant power consumption and require more storage space. This study proposes an algorithm for a data acquisition and processing method based on Fourier…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Nursultan Daupayev , Christian Engel , Ricky Bendyk , Soeren Hirsch

We describe a simple automated method to extract and quantify transient heterogeneous dynamical changes from large datasets generated in single molecule/particle tracking experiments. Based on wavelet transform, the method transforms raw…

Data Analysis, Statistics and Probability · Physics 2013-06-04 Kejia Chen , Bo Wang , Juan Guan , Steve Granick

Heart disease morbidity and mortality rates are increasing, which has a negative impact on public health and the global economy. Early detection of heart disease reduces the incidence of heart mortality and morbidity. Recent research has…

Quantum Physics · Physics 2024-04-30 Hanif Heidari , Gerhard Hellstern , Murugappan Murugappan

With the soaring adoption of in-ear wearables, the research community has started investigating suitable in-ear heart rate (HR) detection systems. HR is a key physiological marker of cardiovascular health and physical fitness. Continuous…

Human-Computer Interaction · Computer Science 2023-04-25 Kayla-Jade Butkow , Ting Dang , Andrea Ferlini , Dong Ma , Cecilia Mascolo

Despite the widespread diffusion of nonlinear methods for heart rate variability (HRV) analysis, the presence and the extent to which nonlinear dynamics contribute to short-term HRV is still controversial. This work aims at testing the…

We review the concept of support vector machines (SVMs) and discuss examples of their use. One of the benefits of SVM algorithms, compared with neural networks and decision trees is that they can be less susceptible to over fitting than…

Data Analysis, Statistics and Probability · Physics 2016-12-21 A. Bethani , A. J. Bevan , J. Hays , T. J. Stevenson

Modern power systems are at risk of largely reducing the inertia of generation assets and prone to experience extreme dynamics. The consequence is that, during electromechanical transients triggered by large contingencies, transmission of…

Systems and Control · Electrical Eng. & Systems 2019-06-27 Asja Derviškadić , Guglielmo Frigo , Mario Paolone

This paper develops a novel statistical approach to characterize temporally localised cross-oscillatory interactions between channels in a functional brain network. Brain signals are generally nonstationary and the proposed framework uses…

Methodology · Statistics 2026-02-10 Haibo Wu , Marina I. Knight , Hernando Ombao

The analysis of gravitational-wave (GW) signals is one of the most challenging application areas of signal processing. Wavelet transforms are specially helpful in detecting and analyzing GW transients and several analysis pipelines are…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Andrea Virtuoso , Edoardo Milotti

Wearable devices such as smartwatches are becoming increasingly popular tools for objectively monitoring physical activity in free-living conditions. To date, research has primarily focused on the purely supervised task of human activity…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Dimitris Spathis , Ignacio Perez-Pozuelo , Soren Brage , Nicholas J. Wareham , Cecilia Mascolo

Variational mode decomposition (VMD) and its extensions like Multivariate VMD (MVMD) decompose signals into ensembles of band-limited modes with narrow central frequencies. These methods utilize Fourier transformations to shift signals…

Information Theory · Computer Science 2025-01-17 Hao Jia , Pengfei Cao , Tong Liang , Cesar F. Caiafa , Zhe Sun , Yasuhiro Kushihashi , Grau A , Bolea Y , Feng Duan , Jordi Sole-Casals

In this paper, we presented the design and development of a new integrated device for measuring heart rate using fingertip to improve estimating the heart rate. As heart related diseases are increasing day by day, the need for an accurate…

Other Computer Science · Computer Science 2016-11-17 M. M. A. Hashem , Rushdi Shams , Md. Abdul Kader , Md. Abu Sayed

This paper develops a threshold model with a time-varying threshold, represented using a wavelet series expansion. The model adequately captures irregular and abrupt variations, as well as smooth changes in the threshold parameter, allowing…

Methodology · Statistics 2026-05-19 Rhea Davis , N. Balakrishna

Photoplethysmography (PPG) sensors allow for non-invasive and comfortable heart-rate (HR) monitoring, suitable for compact wrist-worn devices. Unfortunately, Motion Artifacts (MAs) severely impact the monitoring accuracy, causing high…