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Sequential Probability Assignment for Outlier Detection in Heartbeat Timings
Insights
This study introduces a new method to detect outlier heartbeats, improving heart rate accuracy from wearables. The novel approach effectively identifies incorrect heartbeat detections caused by noise or physiological irregularities.
Area of Science:
- Biomedical Engineering
- Signal Processing
- Cardiology
Background:
- Inaccurate heart rate and heart rate variability estimates arise from artifacts, noise, and physiological outlier beats.
- The proliferation of wearable devices necessitates robust methods for identifying erroneous heartbeat detections due to motion artifacts and poor sensor contact.
Purpose of the Study:
- To propose a sequential probability assignment procedure for detecting outlier heartbeats.
- To develop a flexible time-varying point process model capable of capturing changes in both mean and variance of interbeat intervals.
Main Methods:
- A time-varying point process model estimating a two-parameter exponential family distribution per time index.
- Formulation of a maximum likelihood problem with a Kullback-Leibler regularizer at each time step.
- Testing of inverse Gaussian, gamma, and log-normal distributions, with inverse Gaussian showing the best fit for interbeat intervals via Kolmogorov-Smirnov statistic.
Main Results:
- The inverse Gaussian distribution demonstrated the best fit for interbeat interval data from clinical electrocardiogram (ECG) data.
- The proposed model successfully detected outlier heartbeats in both simulations and clinical data.
- The sequential probability assignment procedure proved effective in identifying statistically unlikely heartbeat timings.
Conclusions:
- The developed outlier detection method enhances the reliability of heart rate and heart rate variability measurements, particularly in noisy environments.
- This technique is crucial for improving the accuracy of wearable health monitoring devices.
- The model's ability to identify ectopic beats and arrhythmic events contributes to more precise clinical relevance.
Abstract:
Artifacts and noise as well as outlier beats from physiological causes can lead to inaccurate estimates of heart rate and heart rate variability. Especially with the increased popularity of wearables, there is an increased need to be able to identify when motion artifacts and poor sensor contact lead to incorrect detection of heartbeats. In this paper, we propose a sequential probability assignment procedure to detect outlier heartbeats. The procedure uses a time-varying point process model that estimates a two-parameter exponential family distribution per time index. By allowing both parameters of the distribution to vary with time, this model has more flexibility than many previous models and is able to capture changes in both the mean and variance of the intervals. We formulate a maximum likelihood problem with a Kullback-Leibler regularizer at each time step. The usage of an exponential family parametrization makes the estimation at each time point a convex optimization problem, guaranteeing that the solution we find is optimal. We test three different distributions: inverse Gaussian, gamma, and log-normal. We find that the inverse Gaussian fits the distribution of interbeat intervals from clinical electrocardiogram data the best when evaluated using the Kolmogorov-Smirnov statistic. We then show in simulations as well as in clinical data the model's ability to successfully detect outliers.Clinical relevance-Identification of heartbeat timings can be difficult in noisy settings. In addition, ectopic beats and arrhythmic events can produce irregular timings. This outlier detection is one method to help identify timings that are statistically unlikely.
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