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A Fast Framework for Abrupt Change Detection Based on Binary Search Trees and Kolmogorov Statistic

机译:基于二叉搜索树和Kolmogorov统计量的突变检测快速框架

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摘要

Change-Point (CP) detection has attracted considerable attention in the fields of data mining and statistics; it is very meaningful to discuss how to quickly and efficiently detect abrupt change from large-scale bioelectric signals. Currently, most of the existing methods, like Kolmogorov-Smirnov (KS) statistic and so forth, are time-consuming, especially for large-scale datasets. In this paper, we propose a fast framework for abrupt change detection based on binary search trees (BSTs) and a modified KS statistic, named BSTKS (binary search trees and Kolmogorov statistic). In this method, first, two binary search trees, termed as BSTcA and BSTcD, are constructed by multilevel Haar Wavelet Transform (HWT); second, three search criteria are introduced in terms of the statistic and variance fluctuations in the diagnosed time series; last, an optimal search path is detected from the root to leaf nodes of two BSTs. The studies on both the synthetic time series samples and the real electroencephalograph (EEG) recordings indicate that the proposed BSTKS can detect abrupt change more quickly and efficiently than KS, t-statistic (t), and Singular-Spectrum Analyses (SSA) methods, with the shortest computation time, the highest hit rate, the smallest error, and the highest accuracy out of four methods. This study suggests that the proposed BSTKS is very helpful for useful information inspection on all kinds of bioelectric time series signals.
机译:变更点(CP)检测已在数据挖掘和统计领域引起了极大的关注。讨论如何快速有效地检测大规模生物电信号的突变是非常有意义的。当前,大多数现有方法(例如Kolmogorov-Smirnov(KS)统计信息)等等都很耗时,尤其是对于大型数据集。在本文中,我们提出了一种基于二进制搜索树(BST)和经过改进的KS统计量(称为BSTKS(二进制搜索树和Kolmogorov统计量))的突变检测快速框架。在这种方法中,首先,通过多级Haar小波变换(HWT)构造两个分别称为BSTcA和BSTcD的二叉搜索树;其次,根据诊断时间序列的统计量和方差波动,引入了三种搜索标准。最后,从两个BST的根到叶节点检测到最佳搜索路径。对合成时间序列样本和真实脑电图(EEG)记录的研究表明,与KS,t统计量(t)和奇异谱分析(SSA)方法相比,拟议的BSTKS可以更快,更有效地检测突变。四种方法中计算时间最短,命中率最高,误差最小和精度最高。这项研究表明,提出的BSTKS对于各种生物电时间序列信号的有用信息检查非常有帮助。

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