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We consider a strictly stationary sequence of random vectors whose finite-dimensional distributions are jointly regularly varying with some positive index. This class of processes includes, among others, ARMA processes with regularly…

统计理论 · 数学 2010-01-13 Richard A. Davis , Thomas Mikosch

1/f noise is very common but is difficult to handle in a metrological way. After having recalled the main characteristics of stongly correlated noise, this paper will determine relationships giving confidence intervals over the arithmetic…

数据分析、统计与概率 · 物理学 2015-06-22 Francois Vernotte , Eric Lantz

We explore the chaotic dynamics and complexity of a neuro-system with respect to variable synaptic weights in both noise free and noisy conditions. The chaotic dynamics of the system is investigated by bifurcation analysis and 0-1 test. A…

混沌动力学 · 物理学 2021-03-17 Sanjay K. Palit , Sayan Mukherjee

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…

The mechanisms underlying cardiac fibrillation have been investigated for over a century, but we are still finding surprising results that change our view of this phenomenon. The present study focuses on the transition from normal rhythm to…

组织与器官 · 定量生物学 2024-11-15 Alejandro Garzón , Roman O. Grigoriev

Except for a few specific types, cardiac arrhythmias are not immediately life-threatening. However, if not treated appropriately, they can cause serious complications. In particular, atrial fibrillation, which is characterized by fast and…

机器学习 · 计算机科学 2020-10-08 Jérôme Van Zaen , Ricard Delgado-Gonzalo , Damien Ferrario Mathieu Lemay

We discuss open problems related to the stochastic modeling of cardiac function. The work is based on an experimental investigation of the dynamics of heart rate variability (HRV) in the absence of respiratory perturbations. We consider…

生物物理 · 物理学 2015-05-14 I. A. Khovanov , N. A. Khovanova , P. V. E. McClintock , A. Stefanovska

The association between visit-to-visit systolic blood pressure variability and cardiovascular events has recently received a lot of attention in the cardiovascular literature. But blood pressure variability is usually estimated on a…

应用统计 · 统计学 2019-01-25 Jessica K. Barrett , Raphael Huille , Richard Parker , Yuichiro Yano , Michael Griswold

We consider the acoustic flow field of rotationally symmetric systems, like an annular combustor and the flow in a round duct, in absence of a mean azimuthal flow field. We focus on azimuthal instabilities, which manifest as either spinning…

流体动力学 · 物理学 2020-10-05 Giulio Ghirardo , Francesco Gant

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

数值分析 · 数学 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

We demonstrate the robust scale-invariance in the probability density function (PDF) of detrended healthy human heart rate increments, which is preserved not only in a quiescent condition, but also in a dynamic state where the mean level of…

组织与器官 · 定量生物学 2009-11-10 Ken Kiyono , Zbigniew R. Struzik , Naoko Aoyagi , Seiichiro Sakata , Junichiro Hayano , Yoshiharu Yamamoto

Multiresolution Wavelet Transform and Detrended Fluctuation Analysis have been recently proven as excellent methods in the analysis of Heart Rate Variability, and in distinguishing between healthy subjects and patients with various…

The random error of radioastronomical measurements is usually computed in the weak-signal limit, which assumes that the system temperature is sensibly the same on and off source, or with and without a spectral line. This assumption is often…

天体物理学 · 物理学 2009-11-07 H. Liszt

Electrocardiography (ECG) signals are frequently degraded by noise, limiting their clinical reliability in both conventional and wearable settings. Existing methods for addressing ECG noise, relying on artifact classification or denoising,…

信号处理 · 电气工程与系统科学 2025-07-23 Tae-Seong Han , Jae-Wook Heo , Hakseung Kim , Cheol-Hui Lee , Hyub Huh , Eue-Keun Choi , Hye Jin Kim , Dong-Joo Kim

Atrial Fibrillation (AF) is a common cardiac arrhythmia. Many AF patients experience complications such as stroke and other cardiovascular issues. Early detection of AF is crucial. Existing algorithms can only distinguish ``AF rhythm in AF…

信号处理 · 电气工程与系统科学 2024-10-03 Jun Lei , Yuxi Zhou , Xue Tian , Qinghao Zhao , Qi Zhang , Shijia Geng , Qingbo Wu , Shenda Hong

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

Atrial fibrillation is increasingly prevalent, especially in the elderly, and challenging to detect due paroxysmal nature. Here, we propose novel computational methods based on heart beat intervals to facilitate rapid and robust…

计算机与社会 · 计算机科学 2017-11-30 Tamas Madl , David Madl

I calculate the statistics of correlation of two digitized noiselike signals, which are drawn from complex Gaussian distributions, sampled, quantized, correlated, and averaged. Averaged over many such samples, the correlation r approaches a…

天体物理学 · 物理学 2009-11-11 Carl Gwinn

We consider a situation where the distribution of a random variable is being estimated by the empirical distribution of noisy measurements of that variable. This is common practice in, for example, teacher value-added models and other…

计量经济学 · 经济学 2021-12-08 Koen Jochmans , Martin Weidner

We investigate the effect of noise on Random Boolean Networks. Noise is implemented as a probability $p$ that a node does not obey its deterministic update rule. We define two order parameters, the long-time average of the Hamming distance…

生物物理 · 物理学 2009-11-13 Tiago P. Peixoto , Barbara Drossel