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Empirical Mode Decomposition and its Extensions Applied to EEG Analysis: A Review 经验模态分解及其扩展在脑电分析中的应用综述
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-08-15 DOI: 10.1142/S2424922X18400016
C. Sweeney-Reed, S. Nasuto, Marcus Fraga Vieira, A. Andrade
Empirical mode decomposition (EMD) provides an adaptive, data-driven approach to time–frequency analysis, yielding components from which local amplitude, phase, and frequency content can be derived...
经验模态分解(EMD)提供了一种自适应的、数据驱动的时频分析方法,产生的分量可以从中推导出局部幅度、相位和频率内容。
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引用次数: 26
Clustering Parkinson's and Age-Related Voice Impairment Signal Features for Unsupervised Learning 聚类帕金森和年龄相关的语音障碍信号特征的无监督学习
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-08-15 DOI: 10.1142/S2424922X18400077
A. Rueda, S. Krishnan
This study focuses on the possibility of remote monitoring and screening of Parkinson’s and age-related voice impairment for the general public using self-recorded data on readily available or emer...
这项研究的重点是远程监测和筛查帕金森氏症和年龄相关的声音障碍的可能性,为公众使用自记录的数据随时可用或即时可用。
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引用次数: 12
Probability Distributions of Means of IA and IF for Gaussian Noise and Its Application to an Anomaly Detection 高斯噪声IA均值和IF均值的概率分布及其在异常检测中的应用
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-07-01 DOI: 10.1142/S2424922X18500067
K. Sakai, M. Kaneyama, K. Oohara, H. Takahashi
The Hilbert–Huang transform (HHT) extracts the intrinsic oscillation modes of input data, and estimates instantaneous amplitude (IA) and frequency (IF) for each mode. The HHT is applied to detection of some anomaly structures of signals as well as to analysis of signals. However, only qualitative discussions have been conducted on the applications to the detections. To make more statistically-based arguments on the application of the HHT, we investigated the probability distribution of the means of IA and IF for white Gaussian noise and found that it fits the Pearson distribution rather than the normal distribution. We defined a feature value for an anomaly detection by using the probability density function estimated on the basis of the Pearson distribution. Our method does not require different models for different lengths of the segment over which the mean is calculated, and therefore it is useful especially for the case that the length cannot be fixed.
Hilbert-Huang变换(HHT)提取输入数据的固有振荡模式,并估计每个模式的瞬时振幅(IA)和频率(IF)。该方法不仅适用于信号异常结构的检测,也适用于信号的分析。然而,仅对检测的应用进行了定性讨论。为了对HHT的应用进行更多基于统计的论证,我们研究了高斯白噪声的IA和IF均值的概率分布,发现它符合Pearson分布而不是正态分布。我们使用基于Pearson分布估计的概率密度函数来定义异常检测的特征值。我们的方法不需要对计算平均值的段的不同长度使用不同的模型,因此它特别适用于长度不能固定的情况。
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引用次数: 0
Wireless Brain Wave Classification for Alzheimer's Patients via Efficient Neural Network Computation 基于高效神经网络计算的老年痴呆症患者无线脑电波分类
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-07-01 DOI: 10.1142/S2424922X18500043
G. Sheen
Wireless recording and real time classification of brain waves are essential steps towards future wearable devices to assist Alzheimer’s patients in conveying their thoughts. This work is concerned with efficient computation of a dimension-reduced neural network (NN) model on Alzheimer’s patient data recorded by a wireless headset. Due to much fewer sensors in wireless recording than the number of electrodes in a traditional wired cap and shorter attention span of an Alzheimer’s patient than a normal person, the data is much more restrictive than is typical in neural robotics and mind-controlled games. To overcome this challenge, an alternating minimization (AM) method is developed for network training. AM minimizes a nonsmooth and nonconvex objective function one variable at a time while fixing the rest. The sub-problem for each variable is piecewise convex with a finite number of minima. The overall iterative AM method is descending and free of step size (learning parameter) in the standard gradient descent method. The proposed model, trained by the AM method, significantly outperforms the standard NN model trained by the stochastic gradient descent method in classifying four daily thoughts, reaching accuracies around 90% for Alzheimer’s patient. Curved decision boundaries of the proposed model with multiple hidden neurons are found analytically to establish the nonlinear nature of the classification.
无线记录和实时脑电波分类是未来可穿戴设备帮助阿尔茨海默病患者传达思想的重要步骤。本文研究了一种基于无线耳机记录的阿尔茨海默病患者数据的降维神经网络(NN)模型的高效计算。由于无线记录中的传感器比传统有线帽中的电极数量少得多,而且阿尔茨海默病患者的注意力持续时间比正常人短,因此数据比神经机器人和精神控制游戏中的典型数据要严格得多。为了克服这一挑战,开发了一种用于网络训练的交替最小化(AM)方法。AM最小化一个非光滑和非凸目标函数在一个时间的一个变量,同时固定其余的。每个变量的子问题都是具有有限个最小值的分段凸问题。整体迭代AM方法是递减的,不受标准梯度下降法的步长(学习参数)的影响。采用AM方法训练的模型在对四种日常思维进行分类方面明显优于随机梯度下降法训练的标准NN模型,对阿尔茨海默病患者的准确率达到90%左右。通过解析方法建立了包含多个隐藏神经元的模型的曲线决策边界,建立了分类的非线性性质。
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引用次数: 0
Magnitude Variation of Arterial Blood Pressure Measured Using Holo-Hilbert Spectral Analysis 利用全息希尔伯特光谱分析测量动脉血压的幅度变化
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-07-01 DOI: 10.1142/S2424922X18500079
Jia-Hua Lee, T. Hsiao, Chia-Chi Chang, H. Hsu
Arterial blood pressure (ABP) is one of the most crucial cardiovascular indicators in clinical practice. Hilbert–Huang transform (HHT) has been performed on ABP signals and resulted in ABP variability. The instantaneous P-wave interval variation had been further examined with baroreflex sensitivity. However, the instantaneous magnitude variation of ABP signal is still unclear with the pulse pressure (PP) variability. In 2016, Holo–Hilbert spectral analysis (HHSA) extended the HHT method for identifying the amplitude-modulated (AM) characteristics of signals. This method was applied to investigate the magnitude variation of ABP signal during different respiratory manipulations in this study. The results indicated that the AM parts were moderately correlated with PP series and corresponding respiratory patterns. The [Formula: see text]-values on PP series are [Formula: see text], and [Formula: see text] for spontaneous breathing, six-cycle breathing, and hyperventilation, respectively. The values on respiratory patterns are [Formula: see text], and [Formula: see text] for spontaneous breathing, six-cycle breathing, and hyperventilation, respectively. This study concludes that ABP signal with HHSA presents the corresponding PP series, the respiratory-related activities, and the respiratory effect on PP variability. This is the first demonstration of the magnitude variation of ABP signal and further research in this area is warranted.
动脉血压(ABP)是临床最重要的心血管指标之一。对ABP信号进行Hilbert-Huang变换(HHT),导致了ABP的可变性。用气压反射灵敏度进一步检测了瞬时纵波间隔变化。然而,ABP信号的瞬时幅度随脉压(PP)变异性的变化尚不清楚。2016年,Holo-Hilbert频谱分析(HHSA)扩展了HHT方法,用于识别信号的调幅(AM)特性。本研究采用该方法研究不同呼吸操作过程中ABP信号的幅度变化。结果表明,AM部分与PP系列和相应的呼吸模式中度相关。PP系列的[公式:见文]值分别为自发呼吸、六周期呼吸和超换气的[公式:见文]和[公式:见文]。自主呼吸、六周期呼吸和过度通气的呼吸模式值分别为[公式:见文]和[公式:见文]。本研究认为,与HHSA相关的ABP信号具有相应的PP序列、呼吸相关活性以及呼吸对PP变异性的影响。这是ABP信号幅度变化的首次证明,在这一领域的进一步研究是有必要的。
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引用次数: 4
KurSL: Model of Anharmonic Coupled Oscillations Based on Kuramoto Coupling and Sturm-Liouville Problem 基于Kuramoto耦合和Sturm-Liouville问题的非调和耦合振荡模型
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-05-09 DOI: 10.1142/S2424922X18400028
D. Laszuk, J. O. Cadenas, S. Nasuto
Physiological signalling is often oscillatory and shows nonlinearity due to complex interactions of underlying processes or signal propagation delays. This is particularly evident in case of brain activity which is subject to various feedback loop interactions between di erent brain structures, that coordinate their activity to support normal function. In order to understand such signalling in health and disease, methods are needed that can deal with such complex oscillatory phenomena. In this paper, a data-driven method for analysing anharmonic oscillations is introduced. The KurSL model incorporates two well-studied components, which in the past have been used separately to analyse oscillatory behaviour. The Sturm-Liouville equations describe a form of a general oscillation, and the Kuramoto coupling model represents a set of oscillators interacting in the phase domain. Integration of these components provides a flexible framework for capturing complex interactions of oscillatory processes of more general form than the most commonly used harmonic oscillators. The paper introduces a mathematical framework of the KurSL model and analyses its behaviour for a variety of parameter ranges. The signi cance of the model follows from its ability to provide information about coupled oscillators' phase dynamics directly from the time series. KurSL o ers a novel framework for analysing a wide range of complex oscillatory behaviours, such as encountered in physiological signals.
生理信号通常是振荡的,并且由于潜在过程的复杂相互作用或信号传播延迟而表现出非线性。这在大脑活动中尤其明显,因为大脑活动受到不同大脑结构之间各种反馈回路的相互作用的影响,这些反馈回路协调它们的活动以支持正常功能。为了理解健康和疾病中的这种信号,需要能够处理这种复杂振荡现象的方法。本文介绍了一种分析非谐波振荡的数据驱动方法。KurSL模型包含两个经过充分研究的组成部分,这两个组成部分在过去被分别用于分析振荡行为。Sturm-Liouville方程描述了一般振荡的一种形式,Kuramoto耦合模型表示一组在相域中相互作用的振子。这些组件的集成提供了一个灵活的框架,用于捕获比最常用的谐波振荡器更一般形式的振荡过程的复杂相互作用。本文介绍了KurSL模型的数学框架,并分析了其在各种参数范围内的行为。该模型的意义在于它能够直接从时间序列中提供有关耦合振荡器相位动力学的信息。KurSL提出了一个新的框架,用于分析各种复杂的振荡行为,例如在生理信号中遇到的振荡行为。
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引用次数: 0
An Adaptive Orthogonal SSA Decomposition Algorithm for a Time Series 时间序列的自适应正交SSA分解算法
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-01-08 DOI: 10.1142/S2424922X1850002X
K. Kume, N. Nose-Togawa
Singular spectrum analysis (SSA) is a nonparametric spectral decomposition of a time series into arbitrary number of interpretable components. It involves a single parameter, window length L, which...
奇异谱分析(SSA)是将时间序列的非参数谱分解为任意数量的可解释分量。它涉及到一个参数,窗口长度L,它…
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引用次数: 2
Evaluation of Operating Performances Based on Median Damage Load Spectrum 基于中值损伤载荷谱的运行性能评价
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-01-08 DOI: 10.1142/S2424922X18500018
Xinting Zhai, Jixin Wang, Yingying Li
Load spectrum is the basement of reliability analysis. Selecting a suitable operator for a certain model in a typical experiment field is of benefit to the acquisition of load spectrum. Different operating performances caused by different operators have the characteristics of multiple evaluation indicators. In this paper, a comprehensive evaluation method based on median damage is proposed. The method is applied to evaluate the actual operating performances in the experiment field of the excavator. Comparative results show that the proposed method is feasible, and will be more convenient when more indicators are involved. The proposed method provides a theoretical reference for the compiling of load spectrum acquisition specification, and proposes an additional method for the evaluation of the operating performances.
负荷谱是可靠性分析的基础。在典型的试验场中,为某一模型选择合适的算子,有利于负荷谱的获取。不同的操作人员造成的不同的运行性能具有多重评价指标的特点。提出了一种基于中值损伤的综合评价方法。将该方法应用于挖掘机试验现场的实际运行性能评价。对比结果表明,所提出的方法是可行的,并且当涉及更多指标时,将更加方便。该方法为编制负载谱采集规范提供了理论参考,并为运行性能评价提供了一种新的方法。
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引用次数: 0
A Toolkit for Snow-Cover Area Calculation and Display Based on the Interactive Multisensor Snow and Ice Mapping System and an Example for the Tibetan Plateau Region 基于交互式多传感器冰雪制图系统的积雪面积计算与显示工具箱及以青藏高原地区为例
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2018-01-01 DOI: 10.1142/S2424922X18500031
T. tucker, S. Shen
This research develops a toolkit for snow-cover area calculation and display (SACD) based on the Interactive Multisensor Snow and Ice Mapping System (IMS). The paper uses the Tibetan Plateau region as an example to describe the toolkit’s method, results, and usage. The National Snow and Ice Data Center (NSIDC) provides to the public IMS a well-used system for monitoring the snow and ice cover. The newly developed toolkit is based on a simple shoe-lace formula for a grid box area on a sphere and can be conveniently used to calculate the total area of snow cover given the IMS data. The toolkit has been made available as an open source Python software on GitHub. The toolkit generates the time series of the daily snow-covered area for any region over the Northern Hemisphere from 4 February 1997. The toolkit also creates maps showing snow and ice coverage with an elevation background. The Tibetan Plateau (TP) region (25∘–45∘N) × (65∘–105∘E) is used as an example to demonstrate our work on SACD. The IMS product...
本研究开发了一个基于交互式多传感器冰雪测绘系统(IMS)的积雪覆盖面积计算与显示(SACD)工具包。本文以青藏高原地区为例,介绍了该工具包的方法、结果和使用情况。国家冰雪数据中心(NSIDC)为公共IMS提供了一个常用的冰雪覆盖监测系统。新开发的工具包基于球体上网格框区域的简单鞋带公式,可以方便地用于计算给定IMS数据的积雪总面积。该工具包已作为开源Python软件在GitHub上提供。该工具包生成自1997年2月4日以来北半球任何地区每日积雪覆盖面积的时间序列。该工具包还创建了以海拔为背景显示冰雪覆盖的地图。我们以青藏高原(TP)地区(25°-45°N) ×(65°-105°E)为例来演示我们在SACD方面的工作。IMS产品…
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引用次数: 0
Instantaneous Frequencies of Continuous Blood Pressure a Comparison of the Power Spectrum, the Continuous Wavelet Transform and the Hilbert-Huang Transform 连续血压瞬时频率的功率谱、连续小波变换和Hilbert-Huang变换的比较
IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2017-11-09 DOI: 10.1142/S2424922X17500097
Kathrine Knai, G. Kulia, M. Molinas, N. K. Skjaervold
Continuous biological signals, like blood pressure recordings, exhibit nonlinear and nonstationary properties which must be considered during their analysis. Heart rate variability analyses have identified several frequency components and their autonomic origin. There is need for more knowledge on the time-changing properties of these frequencies. The power spectrum, continuous wavelet transform and Hilbert–Huang transform are applied on a continuous blood pressure signal to investigate how the different methods compare to each other. The Hilbert–Huang transform shows high ability to analyze such data, and can, by identifying instantaneous frequency shifts, provide new insights into the nature of these kinds of data.
连续的生物信号,如血压记录,表现出非线性和非平稳的特性,这在分析过程中必须考虑。心率变异性分析已经确定了几种频率成分及其自主起源。需要对这些频率随时间变化的特性有更多的了解。对连续血压信号进行功率谱、连续小波变换和Hilbert-Huang变换,比较不同方法的优缺点。Hilbert-Huang变换显示了分析此类数据的高能力,并且可以通过识别瞬时频移,为这类数据的本质提供新的见解。
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引用次数: 1
期刊
Advances in Data Science and Adaptive Analysis
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