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We investigate the clinical and prognostic significance of fractal dimension and detrended fluctuation analysis by comparing the group of patients with stable angina pectoris without previous myocardial infarction with the group of…

Medical Physics · Physics 2007-05-23 G. Krstacic , M. Martinis , E. Vargovic , A. Knezevic , A. Krstacic

This paper considers the problem of casual heart rate tracking during intensive physical exercise using simultaneous 2 channel photoplethysmographic (PPG) and 3 dimensional (3D) acceleration signals recorded from wrist. This is a…

Information Theory · Computer Science 2016-09-13 Mahdi Boloursaz Mashhadi , Ehsan Asadi , Mohsen Eskandari , Shahrzad Kiani , Farrokh Marvasti

Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain expressions similar to those of the…

Chaotic Dynamics · Physics 2011-09-26 E. Bogomolny , O. Giraud

Activity and motion analysis has the potential to be used as a diagnostic tool for mental disorders. However, to-date, little work has been performed in turning stratification measures of activity into useful symptom markers. The research…

Medical Physics · Physics 2019-08-19 Maxim Osipov

Because the decathlon tests many facets of athleticism, including sprinting, throwing, jumping, and endurance, many consider it to be the ultimate test of athletic ability. On this view, estimating the maximal decathlon score and…

Applications · Statistics 2026-05-06 Paul-Hieu V. Nguyen , James M. Smoliga , Benton Lindaman , Sameer K. Deshpande

A theoretical analysis of the mechanisms underlying the dynamics of gallbladder and heart pulsation could clarify the question regarding the classification as chaotic of the associated behaviour, eventually related to a normal and healthy…

Tissues and Organs · Quantitative Biology 2009-11-10 Giovanni Imponente

Pedestrian arrival times exhibit complex temporal organization across multiple scales, shaped by working hours, transportation schedules, and collective behaviors - features often neglected in conventional pedestrian arrival models. Using a…

Physics and Society · Physics 2026-05-08 Caspar A. S. Pouw , Alessandro Corbetta , Alessandro Gabbana , Federico Toschi

Multifractality is ubiquitously observed in complex natural and socioeconomic systems. Multifractal analysis provides powerful tools to understand the complex nonlinear nature of time series in diverse fields. Inspired by its striking…

Statistical Finance · Quantitative Finance 2022-08-23 Zhi-Qiang Jiang , Wen-Jie Xie , Wei-Xing Zhou , Didier Sornette

Purpose. Athlete monitoring is constrained by small cohorts, heterogeneous biomarker scales, limited feasibility of repeated sampling, and the lack of reliable injury ground truth. These limitations reduce the interpretability and utility…

Many physical and physiological signals exhibit complex scale-invariant features characterized by $1/f$ scaling and long-range power-law correlations, suggesting a possibly common control mechanism. Specifically, it has been suggested that…

Scaling analysis of heart rate time series has emerged as an useful tool for assessment of autonomic cardiac control. We investigate the heart rate time series of ten athletes (five males and five females), by applying detrended fluctuation…

Quantitative Methods · Quantitative Biology 2007-05-23 M Baumert , LM Brechtel , J Lock , A Voss , D Abbott

Depending on the route, runners may experience frustration, freedom, or fulfilment. However, finding routes that are conducive to the psychological experience of running remains an unresolved task in the literature. In a mixed-method study,…

This work presents, the classification of user activities such as Rest, Walk and Run, on the basis of frequency component present in the acceleration data in a wireless sensor network environment. As the frequencies of the above mentioned…

Neural and Evolutionary Computing · Computer Science 2011-07-25 Annapurna Sharma , Amit Purwar , Young-Dong Lee Young-Sook Lee Wan-Young Chung

The collection of active agents often exhibits intriguing statistical and dynamical properties, particularly when considering human crowds. In this study, we have developed a computational model to simulate the recent experiment on real…

Statistical Mechanics · Physics 2025-01-07 Pratikshya Jena , Shradha Mishra

Empirical time series of inter-event or waiting times are investigated using a modified Multifractal Detrended Fluctuation Analysis operating on fluctuations of mean detrended dynamics. The core of the extended multifractal analysis is the…

Statistical Finance · Quantitative Finance 2020-07-01 Jarosław Klamut , Ryszard Kutner , Tomasz Gubiec , Zbigniew R. Struzik

Wearable electronics are often used for estimating the energy expenditure of the user based on heart rate measurement. While heart rate is a good predictor of calorie consumption at high intensities, it is less precise at low intensity…

Signal Processing · Electrical Eng. & Systems 2020-05-11 Saku Levikari , Antti Immonen , Mikko Kuisma , Heikki Peltonen , Mika Silvennoinen , Heikki Kyrolainen , Pertti Silventoinen

Anomalous diffusion processes pose a unique challenge in classification and characterization. Previously (Mangalam et al., 2023, Physical Review Research 5, 023144), we established a framework for understanding anomalous diffusion using…

Adaptation and Self-Organizing Systems · Physics 2024-01-23 Henrik Seckler , Ralf Metzler , Damian G. Kelty-Stephen , Madhur Mangalam

We describe a method for analyzing the stochasticity in the non-stationary data for the beat-to-beat fluctuations in the heart rates of healthy subjects, as well as those with congestive heart failure. The method analyzes the returns time…

Biological Physics · Physics 2007-05-23 F. Ghasemi , Muhammad Sahimi , J. Peinke , M. Reza Rahimi Tabar

Biophysical signals such as Electrocardiogram (ECG) and Photoplethysmogram (PPG) are key to the sensing of vital parameters for wellbeing. Coincidentally, ECG and PPG are signals, which provide a "different window" into the same phenomena,…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Abhinandan Panda , Srinivas Pinisetty , Partha Roop

Multifractal analysis has become a powerful signal processing tool that characterizes signals or images via the fluctuations of their pointwise regularity, quantified theoretically by the so-called multifractal spectrum. The practical…

Functional Analysis · Mathematics 2018-11-09 Roberto Leonarduzzi , Patrice Abry , Herwig Wendt , Stéphane Jaffard , Hugo Touchette
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