Refined matrix completion for spectrum estimation of heart rate variability.

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-08-02 DOI:10.3934/mbe.2024296
Lei Lu, Tingting Zhu, Ying Tan, Jiandong Zhou, Jenny Yang, Lei Clifton, Yuan-Ting Zhang, David A Clifton
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Abstract

Heart rate variability (HRV) is an important metric in cardiovascular health monitoring. Spectral analysis of HRV provides essential insights into the functioning of the cardiac autonomic nervous system. However, data artefacts could degrade signal quality, potentially leading to unreliable assessments of cardiac activities. In this study, we introduced a novel approach for estimating uncertainties in HRV spectrum based on matrix completion. The proposed method utilises the low-rank characteristic of HRV spectrum matrix to efficiently estimate data uncertainties. In addition, we developed a refined matrix completion technique to enhance the estimation accuracy and computational cost. Benchmarking on five public datasets, our model shows effectiveness and reliability in estimating uncertainties in HRV spectrum, and has superior performance against five deep learning models. The results underscore the potential of our developed matrix completion-based statistical machine learning model in providing reliable HRV spectrum uncertainty estimation.

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用于心率变异性频谱估计的改进矩阵补全。
心率变异性(HRV)是心血管健康监测的一项重要指标。通过对心率变异的频谱分析,可以深入了解心脏自主神经系统的功能。然而,数据伪差会降低信号质量,可能导致对心脏活动的评估不可靠。在这项研究中,我们引入了一种基于矩阵补全的估算心率变异频谱不确定性的新方法。所提出的方法利用心率变异频谱矩阵的低秩特征来有效估计数据的不确定性。此外,我们还开发了一种改进的矩阵补全技术,以提高估算精度和计算成本。在五个公开数据集上进行基准测试,我们的模型在估计心率变异频谱的不确定性方面显示出了有效性和可靠性,与五个深度学习模型相比性能更优。这些结果凸显了我们开发的基于矩阵补全的统计机器学习模型在提供可靠的心率变异频谱不确定性估计方面的潜力。
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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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