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Cortical sensory neurons are known to be highly variable, in the sense that responses evoked by identical stimuli often change dramatically from trial to trial. The origin of this variability is uncertain, but it is usually interpreted as…

神经元与认知 · 定量生物学 2007-05-23 Gleb Basalyga , Emilio Salinas

In compressed sensing, measurements are typically contaminated by additive noise, and therefore, information about the noise variance is often needed to design algorithms. In this paper, we propose a method for estimating the unknown noise…

信号处理 · 电气工程与系统科学 2025-03-24 Ryo Hayakawa

Emergence of noise induced regularity or Coherence Resonance in nonlinear excitable systems is well known. We explain theoretically why the normalized variance ($V_{N}$) of inter spike time intervals, which is a measure of regularity in…

统计力学 · 物理学 2015-05-14 Santidan Biswas , Dibyendu Das , P. Parmananda , Anirban Sain

In the first part of the paper we study stochastic integrals of a nonrandom function with respect to a nonorthogonal Hilbert noise defined on a semiring of subsets of an arbitrary nonempty set. In the second part we apply this construction…

概率论 · 数学 2007-06-13 Igor S. Borisov , Alexander A. Bystrov

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

统计力学 · 物理学 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

In this work we study the characteristics of the heart rate variability (HRV) as a function of age and gender. The analyzed data include previous results reported in the literature. The data obtained in this work expand the range of age…

定量方法 · 定量生物学 2018-10-11 Isabel M. Irurzun , Magdalena M. Defeo , L. Garavaglia , Thomas Mailland , E. E. Mola

We consider binary infinite order stochastic chains perturbed by a random noise. This means that at each time step, the value assumed by the chain can be randomly and independently flipped with a small fixed probability. We show that the…

概率论 · 数学 2007-07-20 Pierre Collet , Antonio Galves , Florencia G. Leonardi

The so-called level crossing analysis has been used to investigate the empirical data set. But there is a lack of interpretation for what is reflected by the level crossing results. The fractional Gaussian noise as a well-defined stochastic…

数据分析、统计与概率 · 物理学 2011-12-08 M. Vahabi , G. R. Jafari , M. Sadegh Movahed

High-frequency heart rate variability (HRV) has identified parasympathetic nervous system alterations in autism spectrum disorder (ASD). In a cohort of school-aged children with and without ASD, we test a set of alternative linear and…

We study the distribution of maxima (Extreme Value Statistics) for sequences of observables computed along orbits generated by random transformations. The underlying, deterministic, dynamical system can be regular or chaotic. In the former…

Heart diseases constitute a global health burden, and the problem is exacerbated by the error-prone nature of listening to and interpreting heart sounds. This motivates the development of automated classification to screen for abnormal…

声音 · 计算机科学 2016-12-07 Yuhao Zhang , Sandeep Ayyar , Long-Huei Chen , Ethan J. Li

This paper present an electrocardiogram (ECG) beat classification method based on waveform similarity and RR interval. The purpose of the method is to classify six types of heart beats (normal beat, atrial premature beat, paced beat,…

定量方法 · 定量生物学 2011-01-11 Ahmad Khoureich Ka

The invariants of an attractor have been the most used resource to characterize a nonlinear dynamics. Their estimation is a challenging endeavor in short-time series and/or in presence of noise. In this article we present two new…

混沌动力学 · 物理学 2017-12-13 Juan F. Restrepo , Gastón Schlotthauer

Chaos, or exponential sensitivity to small perturbations, appears everywhere in nature. Moreover, chaos is predicted to play diverse functional roles in living systems. A method for detecting chaos from empirical measurements should…

定量方法 · 定量生物学 2020-01-13 Daniel Toker , Friedrich T. Sommer , Mark D'Esposito

In this article, we consider the problem of estimating fractional processes based on noisy high-frequency data. Generalizing the idea of pre-averaging to a fractional setting, we exhibit a sequence of consistent estimators for the unknown…

统计理论 · 数学 2026-01-14 David Chen , Yu Cheng , Carsten Chong , Pierre Gentine , Wangdong Jia , Bryce Monier , Shiyang Shen

Atrial fibrillation (AF) is the most common arrhythmia affecting millions of people in the Western countries and, due to the widespread impact on the population and its medical relevance, is largely investigated in both clinical and…

医学物理 · 物理学 2014-09-12 Stefania Scarsoglio , Andrea Guala , Carlo Camporeale , Luca Ridolfi

Cardiac fibrillation is characterized by chaotic and disintegrated spiral wave dynamics patterns, whereas sinus rhythm shows synchronized excitation patterns. To determine functional correlations among cardiomyocytes during complex…

组织与器官 · 定量生物学 2022-10-20 Euijun Song

We study the Heart Rate Variability (HRV) using scale specific variance and scaling exponents as measures of healthy and cardiac impaired individuals. Our results show that the variance and the scaling exponent are uncorrelated. We find…

In quantum computation, amplitude estimation is a fundamental subroutine that is utilized in various quantum algorithms. A general important task of such estimation problems is to characterize the estimation lower bound, which is referred…

量子物理 · 物理学 2025-07-10 Kohei Oshio , Yohichi Suzuki , Kaito Wada , Keigo Hisanaga , Shumpei Uno , Naoki Yamamoto

We study the effect of observing a stationary process at irregular time points via a renewal process. We establish a sharp difference in the asymptotic behaviour of the self-normalized sample mean of the observed process depending on the…

统计理论 · 数学 2024-11-04 Mohamedou Ould-Haye , Anne Philippe