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arXiv 1908.06856eess.SPcs.LGphysics.data-an
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A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification

University of North Carolina at Greensboro(北卡罗来纳大学格林斯伯勒分校);National Taiwan Normal University(台湾师范大学);Chang Gung Memorial Hospital(长庚纪念医院);Chang Gung University(长庚大学);Duke University(杜克大学);National Center for Theoretical Sciences(国家理论科学研究中心)

Yu-Min Chung, Chuan-Shen Hu, Yu-Lun Lo, Hau-Tieng Wu

英文摘要:

Persistent homology (PH) is a recently developed theory in the field of algebraic topology to study shapes of datasets. It is an effective data analysis tool that is robust to noise and has been widely applied. We demonstrate a general pipeline to apply PH to study time series; particularly the instantaneous heart rate time series for the heart rate variability (HRV) analysis. The first step is capturing the shapes of time series from two different aspects -- {the PH's and hence persistence diagrams of its} sub-level set and Taken's lag map. Second, we propose a systematic {and computationally efficient} approach to summarize persistence diagrams, which we coined {\em persistence statistics}. To demonstrate our proposed method, we apply these tools to the HRV analysis and the sleep-wake, REM-NREM (rapid eyeball movement and non rapid eyeball movement) and sleep-REM-NREM classification problems. The proposed algorithm is evaluated on three different datasets via the cross-database validation scheme. The performance of our approach is better than the state-of-the-art algorithms, and the result is consistent throughout different datasets.

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