An ECG Segmentation Method Based on GMM and Clusterwise Regression

Min Li , Raymond Chan , Yumei Huang , Tieyong Zeng

Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (5) : 2029 -2042.

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Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (5) : 2029 -2042. DOI: 10.1007/s42967-024-00467-x
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An ECG Segmentation Method Based on GMM and Clusterwise Regression

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Abstract

The electrocardiogram (ECG) segmentation needs to separate different waves from an ECG and cluster the waves simultaneously. Clusterwise regression is a useful approach that can segment and cluster the data simultaneously. In this paper, we apply the clusterwise regression method to segment the ECG. By modeling the ECG signal wave by the Gaussian mixture model (GMM) and introducing a weight function, we propose a minimization model that consists of the weighted sum of the negative log-likelihood and the total variation (TV) of the weight function. The TV of the weight function enforces the temporal consistency. A supervised algorithm is designed to solve the proposed model. Experimental results show the efficiency of the proposed method for the ECG segmentation.

Keywords

Electrocardiogram (ECG) / Segmentation / Fiducial point extraction / Gaussian mixture model (GMM) / Clusterwise regression / 92C55 / 62H30 / 62R07

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Min Li, Raymond Chan, Yumei Huang, Tieyong Zeng. An ECG Segmentation Method Based on GMM and Clusterwise Regression. Communications on Applied Mathematics and Computation, 2025, 7(5): 2029-2042 DOI:10.1007/s42967-024-00467-x

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Funding

National Natural Science Foundation of China(11971215)

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Shanghai University

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