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The adaptive approach of strongly non-linear fast-changing signals identification is discussed. The approach is devised by adaptive sampling based on chaotic mapping in yourself of a signal. Presented sampling way may be utilized online in…

Chaotic Dynamics · Physics 2016-03-23 Marek Berezowski , Marcin Lawnik

Electrocardiogram (ECG) is the electrical measurement of cardiac activity, whereas Photoplethysmogram (PPG) is the optical measurement of volumetric changes in blood circulation. While both signals are used for heart rate monitoring, from a…

Machine Learning · Computer Science 2020-12-16 Pritam Sarkar , Ali Etemad

We propose a novel Coupled Hidden Markov Model to detect epileptic seizures in multichannel electroencephalography (EEG) data. Our model defines a network of seizure propagation paths to capture both the temporal and spatial evolution of…

Signal Processing · Electrical Eng. & Systems 2018-08-13 Jeff Craley , Emily Johnson , Archana Venkataraman

Heart rate variability studies depend on the robust calculation of the tachogram, the heart rate times series, usually by the detection of R peaks in the electrocardiogram (ECG). ECGs however are subject to a number of sources of noise…

Quantitative Methods · Quantitative Biology 2019-02-19 Sean Parsons , Jan Huizinga

Electrocardiogram (ECG) is a widely used reliable, non-invasive approach for cardiovascular disease diagnosis. With the rapid growth of ECG examinations and the insufficiency of cardiologists, accurate and automatic diagnosis of ECG signals…

Machine Learning · Computer Science 2020-10-21 Dongdong Zhang , Xiaohui Yuan , Ping Zhang

Using an information theoretic point of view, we investigate how a dynamics acting on a network can be coarse grained through the use of graph partitions. Specifically, we are interested in how aggregating the state space of a Markov…

Physics and Society · Physics 2017-11-07 Mauro Faccin , Michael T. Schaub , Jean-Charles Delvenne

We propose a method to obtain phase portraits for stochastic systems. Starting from the Fokker-Planck equation, we separate the dynamics into a convective and a diffusive part. We show that stable and unstable fixed points of the convective…

Statistical Mechanics · Physics 2018-05-03 Marc Mendler , Johannes Falk , Barbara Drossel

Electrophysiological brain signals, such as electroencephalography (EEG), exhibit both periodic and aperiodic components, with the latter often modeled as 1/f noise and considered critical to cognitive and neurological processes. Although…

Neurons and Cognition · Quantitative Biology 2025-05-27 Yuhao Sun , Zhiyuan Ma , Xinke Shen , Jinhao Li , Guan Wang , Sen Song

In this paper, the wavelet analysis is used to study the ECG signal. We show that the high-frequency wavelet components of the ECG signal contain information on the functioning of the heart and can be used in diagnosis. We describe the…

Signal Processing · Electrical Eng. & Systems 2018-07-27 N. K. Smolentsev , P. N. Podkur

An essential part for the accurate classification of electrocardiogram (ECG) signals is the extraction of informative yet general features, which are able to discriminate diseases. Cardiovascular abnormalities manifest themselves in…

Signal Processing · Electrical Eng. & Systems 2024-07-11 Maximilian P Oppelt , Maximilian Riehl , Felix P Kemeth , Jan Steffan

Fokker-Planck equations are extensively employed in various scientific fields as they characterise the behaviour of stochastic systems at the level of probability density functions. Although broadly used, they allow for analytical treatment…

Statistical Mechanics · Physics 2020-08-26 Dimitra Maoutsa , Sebastian Reich , Manfred Opper

Epileptic seizures are neurological disorders characterized by abnormal and excessive electrical activity in the brain, resulting in recurrent seizure events. Electroencephalogram (EEG) signals are widely used for seizure diagnosis due to…

Machine Learning · Computer Science 2026-04-02 Ferdaus Anam Jibon , Fazlul Hasan Siddiqui , F. Deeba , Gahangir Hossain

In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the perturbed potential due to the presence of small conductivity…

Analysis of PDEs · Mathematics 2020-10-28 Elena Beretta , Cecilia Cavaterra , Luca Ratti

Electrocardiogram (ECG) analysis is vital for detecting cardiac abnormalities, yet robust automated classification is challenging due to the complexity and variability of physiological signals. In this work, we investigate transformer-based…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Sucheta Ghosh , Zahra Monfared

Objective. We identify two linked problems related to estimating the phase of the alpha rhythm when the signal after a specific event is unknown (real-time case), or corrupted (offline analysis). We propose methods to estimate the phase…

Quantitative Methods · Quantitative Biology 2020-04-07 J. R. McIntosh , P. Sajda

Various emotions can produce variations in electrocardiograph (ECG) signals, distinct emotions can be distinguished by different changes in ECG signals. This study is about emotion recognition using ECG signals. Data for four emotions,…

Signal Processing · Electrical Eng. & Systems 2022-03-17 Bo Sun , Zihuai Lin

The performance of cardiac arrhythmia detection with electrocardiograms(ECGs) has been considerably improved since the introduction of deep learning models. In practice, the high performance alone is not sufficient and a proper explanation…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Jangwon Suh , Jimyeong Kim , Euna Jung , Wonjong Rhee

Structural heart disease (SHD) is a prevalent condition with many undiagnosed cases, and early detection is often limited by the high cost and accessibility constraints of echocardiography (ECHO). Recent studies show that artificial…

Applications · Statistics 2026-03-04 Ya Zhou , Zhaohong Sun , Tianxiang Hao , Xiangjie Li

There has been an increased interest in applying deep neural networks to automatically interpret and analyze the 12-lead electrocardiogram (ECG). The current paradigms with machine learning methods are often limited by the amount of labeled…

Machine Learning · Statistics 2022-08-12 Jiacheng Zhu , Jielin Qiu , Zhuolin Yang , Douglas Weber , Michael A. Rosenberg , Emerson Liu , Bo Li , Ding Zhao

The heart is one of the most vital organs in the human body. It supplies blood and nutrients in other parts of the body. Therefore, maintaining a healthy heart is essential. As a heart disorder, arrhythmia is a condition in which the…

Machine Learning · Computer Science 2023-01-25 Taminul Islam , Arindom Kundu , Tanzim Ahmed , Nazmul Islam Khan