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Randomized benchmarking has emerged as a popular and easy-to-implement experimental technique for gauging the quality of gate operations in quantum computing devices. A typical randomized benchmarking procedure identifies the exponential…

量子物理 · 物理学 2021-02-24 Jiaan Qi , Hui Khoon Ng

Three aspects of time series are uncertainty (dispersion at a given time scale), scaling (time-scale dependence), and intermittency (inclination to change dynamics). Simple measures of dispersion are the mean absolute deviation and the…

概率论 · 数学 2007-05-23 David R. Bickel

Motivation. Phonocardiography can give access to the fetal heart rate as well as direct heart sound data, and is entirely passive, using no radiation of any kind. Approach. We discuss the currently available methods for fetal heart sound…

音频与语音处理 · 电气工程与系统科学 2025-07-16 Kristóf Müller , Janka Hatvani , Márton Áron Goda , Miklós Koller

In this paper, we propose a nonparametric way to test the hypothesis that time-variation in intraday volatility is caused solely by a deterministic and recurrent diurnal pattern. We assume that noisy high-frequency data from a discretely…

计量经济学 · 经济学 2026-01-26 Kim Christensen , Ulrich Hounyo , Mark Podolskij

Based on a criterium of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depending on whether the stochasticity…

证券定价 · 定量金融 2010-07-28 R. Vilela Mendes , Maria João Oliveira

Entropy measures have become increasingly popular as an evaluation metric for complexity in the analysis of time series data, especially in physiology and medicine. Entropy measures the rate of information gain, or degree of regularity in a…

统计方法学 · 统计学 2015-12-03 Chee Chun Gan , Gerard Learmonth

Phase noise and frequency (in)stability both describe the fluctuation of stable periodic signals, from somewhat different standpoints. Frequency is unique compared to other domains of metrology, in that its fluctuations of interest span at…

仪器与探测器 · 物理学 2026-05-18 Enrico Rubiola , Francois Vernotte

We discuss the influence of random- and periodic impulse noise on narrowband (< 500 kHz frequency band) Power Line Communications. We start with random impulse noise and compare the properties of the measured impulse noise with the common…

信息论 · 计算机科学 2015-09-25 A. J. Han Vinck , F. Rouissi , T. Shongwe , G. R. Colen , L. G. Oliveira

Human heart rate is known to display complex fluctuations. Evidence of multifractality in heart rate fluctuations in healthy state has been reported [Ivanov et al., Nature {\bf 399}, 461 (1999)]. This multifractal character could be…

混沌动力学 · 物理学 2009-11-13 Emily S. C. Ching , Yue-Kin Tsang

We propose a novel heart rate (HR) estimation method from facial videos that dynamically adapts the HR pulse extraction algorithm to separately deal with noise from 'rigid' head motion and 'non-rigid' facial expression. We first identify…

信号处理 · 电气工程与系统科学 2019-05-30 Utkarsh Sharma , Terumi Umematsu , Masanori Tsujikawa , Yoshifumi Onishi

Deep learning models for atrial fibrillation (AF) detection are increasingly trained on heterogeneous electrocardiogram (ECG) datasets with varying sampling frequencies, yet the specific consequences of these discrepancies on model…

We report our results on non-periodic experimental time series of pressure in a single cylinder spark ignition engine. The experiments were performed for different levels of loading. We estimate the noise level in internal pressure…

We study the heartbeat activity of healthy individuals at rest and during exercise. We focus on correlation properties of the intervals formed by successive peaks in the pulse wave and find significant scaling differences between rest and…

In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the effects of the noise correlation on the variations of the mean…

无序系统与神经网络 · 物理学 2010-09-23 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

Power spectral density is an accepted measure of heart rate variability. Two estimators of multifractal properties: Wavelet Transform Modulus Maxima and Multifractal Detrended Fluctuation Analysis are used to investigate multifractal…

定量方法 · 定量生物学 2007-05-23 Danuta Makowiec , Aleksandra Dudkowska , Rafal Galaska , Andrzej Rynkiewicz

We develop a nonparametric test for deciding whether volatility of an asset follows a standard semimartingale process, with paths of finite quadratic variation, or a rough process with paths of infinite quadratic variation. The test…

统计理论 · 数学 2024-07-16 Carsten H. Chong , Viktor Todorov

Heart rate variability (HRV) is a vital measure of the autonomic nervous system functionality and a key indicator of cardiovascular condition. This paper proposes a novel method, called pattern tree which is an extension of Willem's context…

机器学习 · 计算机科学 2017-10-23 Elyas Sabeti , Anders Høst-Madsen

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

数据分析、统计与概率 · 物理学 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

Using a three-compartment model of blood pressure dynamics, we analyze theoretically the short term cardiovascular variability: how the respiratory-related blood pressure fluctuations are buffered by appropriate heart rate changes: i.e. the…

医学物理 · 物理学 2010-07-15 Teodor Buchner , Jan Żebrowski , Grzegorz Gielerak

Colloidal bodies of irregular shape rotate as they descend under gravity in solution. This rotational response provides a means of bringing a dispersion of identical bodies into a synchronized rotation with the same orientation using…

软凝聚态物质 · 物理学 2016-09-14 Jonah A. Eaton , Brian Moths , Thomas A. Witten