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首页> 外文期刊>IFAC PapersOnLine >A Kolmogorov-Smirnov Test to Detect Changes in Stationarity in Big Data * * This work was supported in part by the National Natural Science Foundation of China under Grants No. 61573353, No.61533017, and No. 61603382.
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A Kolmogorov-Smirnov Test to Detect Changes in Stationarity in Big Data * * This work was supported in part by the National Natural Science Foundation of China under Grants No. 61573353, No.61533017, and No. 61603382.

机译:用于检测大数据中平稳性变化的Kolmogorov-Smirnov检验 * * 国家自然科学部分支持这项工作基金会编号:61573353、61533017和61603382的中国基金会。

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摘要

The paper proposes an effective change detection test for online monitoring data streams by inspecting the least squares density difference (LSDD) features extracted from two non-overlapped windows. The first window contains samples associated with the pre-change probability distribution function (pdf) and the second one with the post-change one (that differs from the former if a change in stationarity occurs). This method can detect changes by also controlling the false positive rate. However, since the window sizes is fixed after the test has been configured (it has to be small to reduce the execution time), the method may fail to detect changes with small magnitude which need more samples to reach the requested level of confidence. In this paper, we extend our work to the Big Data framework by applying the Kolmogorov-Smirnov test (KS test) to infer changes. Experiments show that the proposed method is effective in detecting changes.
机译:本文通过检查从两个不重叠的窗口中提取的最小二乘密度差(LSDD)特征,提出了一种用于在线监视数据流的有效变化检测测试。第一个窗口包含与更改前概率分布函数(pdf)相关的样本,第二个窗口包含与更改后概率分布函数(pdf,如果发生平稳性变化则不同于前一个)。该方法还可以通过控制误报率来检测变化。但是,由于在配置测试后窗口大小是固定的(必须很小以减少执行时间),所以该方法可能无法检测到较小幅度的变化,而这需要更多样本才能达到要求的置信度。在本文中,我们通过应用Kolmogorov-Smirnov检验(KS检验)推断变化,将工作扩展到大数据框架。实验表明,该方法可以有效地检测变化。

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