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A Novel Method for Fast Change-Point Detection on Simulated Time Series and Electrocardiogram Data

机译:一种基于时间序列和心电图数据的快速变化点检测新方法

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摘要

Although Kolmogorov-Smirnov (KS) statistic is a widely used method, some weaknesses exist in investigating abrupt Change Point (CP) problems, e.g. it is time-consuming and invalid sometimes. To detect abrupt change from time series fast, a novel method is proposed based on Haar Wavelet (HW) and KS statistic (HWKS). First, the two Binary Search Trees (BSTs), termed TcA and TcD, are constructed by multi-level HW from a diagnosed time series; the framework of HWKS method is implemented by introducing a modified KS statistic and two search rules based on the two BSTs; and then fast CP detection is implemented by two HWKS-based algorithms. Second, the performance of HWKS is evaluated by simulated time series dataset. The simulations show that HWKS is faster, more sensitive and efficient than KS, HW, and T methods. Last, HWKS is applied to analyze the electrocardiogram (ECG) time series, the experiment results show that the proposed method can find abrupt change from ECG segment with maximal data fluctuation more quickly and efficiently, and it is very helpful to inspect and diagnose the different state of health from a patient's ECG signal.
机译:尽管Kolmogorov-Smirnov(KS)统计数据是一种广泛使用的方法,但是在调查突变点(CP)问题时仍存在一些弱点,例如这很耗时,有时无效。为了快速检测时间序列中的突变,提出了一种基于Haar小波(HW)和KS统计量(HWKS)的新方法。首先,根据诊断的时间序列,通过多级硬件构造两个称为TcA和TcD的二叉搜索树(BST)。通过引入改进的KS统计量和基于两个BST的两个搜索规则来实现HWKS方法的框架。然后通过两种基于HWKS的算法实现快速CP检测。其次,通过模拟时间序列数据集评估HWKS的性能。仿真表明,HWKS比KS,HW和T方法更快,更灵敏,更有效。最后,将HWKS应用于心电图的时间序列分析,实验结果表明,该方法可以更快,更有效地从心电图段中发现突变,且数据波动最大,对检查和诊断差异有很大帮助。患者心电图信号的健康状态。

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