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Heart rate and blink duration are two vital physiological signals which give information about cardiac activity and consciousness. Monitoring these two signals is crucial for various applications such as driver drowsiness detection. As…

计算机视觉与模式识别 · 计算机科学 2019-12-10 Erfan Darzi , Armin Mohammadie-Zand , Hamid Soltanian-Zadeh

We study the estimation of moments and joint moments of microstructure noise. Estimators of arbitrary order of (joint) moments are provided, for which we establish consistency as well as central limit theorems. In particular, we provide…

统计方法学 · 统计学 2013-02-06 Jean Jacod , Yingying Li , Xinghua Zheng

Estimating the proportion of signals hidden in a large amount of noise variables is of interest in many scientific inquires. In this paper, we consider realistic but theoretically challenging settings with arbitrary covariance dependence…

统计方法学 · 统计学 2021-04-12 X. Jessie Jeng

Atrial fibrillation (AF) consequences on the heart valve dynamics are usually studied along with a valvular disfunction or disease, since in medical monitoring the two pathologies are often concomitant. Aim of the present work is to study,…

流体动力学 · 物理学 2015-10-27 Stefania Scarsoglio , Carlo Camporeale , Andrea Guala , Luca Ridolfi

We analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length. That is, the…

量子物理 · 物理学 2018-01-30 Joel J. Wallman

We propose a general approach to the question of how biological rhythms spontaneously self-regulate, based on the concept of ``stochastic feedback''. We illustrate this approach by considering the neuroautonomic regulation of the heart…

统计力学 · 物理学 2009-10-30 Plamen Ch. Ivanov , Luis A. N. Amaral , Ary Goldberger , H. Eugene Stanley

Arrhythmia is an abnormality of the heart's rhythm, caused by problems in the conductive system and resulting in irregular heartbeats. There is increasing evidence that undertaking frequent endurance sports training elevates one's risk of…

应用统计 · 统计学 2026-01-06 Andrew Nugent , Yi Ting Loo , Jack Buckingham

We study the long-range correlations of heartbeat fluctuations with the method of diffusion entropy. We show that this method of analysis yields a scaling parameter $\delta$ that apparently conflicts with the direct evaluation of the…

统计力学 · 物理学 2009-11-07 P. Allegrini , P. Grigolini , P. Hamilton , L. Palatella , G. Raffaelli

Inhomogeneous temporal processes in natural and social phenomena have been described by bursts that are rapidly occurring events within short time periods alternating with long periods of low activity. In addition to the analysis of…

物理与社会 · 物理学 2015-08-26 Hang-Hyun Jo , Juan I. Perotti , Kimmo Kaski , Janos Kertesz

Sustained spiral waves, also known as rotors, are pivotal mechanisms in persistent atrial fibrillation (AF). Stochasticity is inevitable in nonlinear biological systems such as the heart; however, it is unclear how noise affects the…

生物物理 · 物理学 2023-11-16 Euijun Song

While most heart arrhythmias are not immediately harmful, they can lead to severe complications. In particular, atrial fibrillation, the most common arrhythmia, is characterized by fast and irregular heart beats and increases the risk of…

信号处理 · 电气工程与系统科学 2020-07-07 Jérôme Van Zaen , Olivier Chételat , Mathieu Lemay , Enric M. Calvo , Ricard Delgado-Gonzalo

The eukaryotic flagellum beats with apparently unfailing periodicity, yet responds rapidly to stimuli. Like the human heartbeat, flagellar oscillations are now known to be noisy. Using the alga \textit{C. reinhardtii}, we explore three…

软凝聚态物质 · 物理学 2014-12-03 Kirsty Y. Wan , Raymond E. Goldstein

Background and Objective: The connection between depression and autonomous nervous system (ANS) is well documented in scientific literature. Heart rate variability (HRV) is a rich source of information for studying the dynamics of this…

神经元与认知 · 定量生物学 2021-10-19 Milena Čukić , Danka Savić , Julia Sidorova

Atrial fibrillation is a clinical arrhythmia with multifactorial mechanisms still unresolved. Time-frequency analysis of epicardial electrograms has been investigated to study atrial fibrillation. However, deeper understanding of atrial…

信号处理 · 电气工程与系统科学 2019-10-15 Miao Sun , Elvin Isufi , Natasja M. S. de Groot , Richard C. Hendriks

Randomized benchmarking (RB) is an efficient and robust method to characterize gate errors in quantum circuits. Averaging over random sequences of gates leads to estimates of gate errors in terms of the average fidelity. These estimates are…

量子物理 · 物理学 2019-09-11 Jonas Helsen , Joel J. Wallman , Steven T. Flammia , Stephanie Wehner

Gene expression is stochastic and displays variation ("noise") both within and between cells. Intracellular (intrinsic) variance can be distinguished from extracellular (extrinsic) variance by applying the law of total variance to data from…

定量方法 · 定量生物学 2016-01-14 Audrey Fu , Lior Pachter

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

统计力学 · 物理学 2026-03-31 Tuan Pham , Deepak Gupta

Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. Of particular importance are fluctuations with the correlation time that exceeds the decoherence time due to decay and…

量子物理 · 物理学 2024-01-23 Filip Wudarski , Yaxing Zhang , Alexander Korotkov , A. G. Petukhov , M. I. Dykman

We investigate the statistical evidence for the use of `rough' fractional processes with Hurst exponent $H< 0.5$ for the modeling of volatility of financial assets, using a model-free approach. We introduce a non-parametric method for…

统计金融 · 定量金融 2023-07-11 Rama Cont , Purba Das

I calculate the noise in the measured correlation functions and spectra of digitized, noiselike signals. In the spectral domain, the signals are drawn from a Gaussian distribution with variance that depends on frequency. Nearly all…

天体物理学 · 物理学 2007-05-23 C. R. Gwinn