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VISTA-SSM: Varying and irregular sampling time-series analysis via state-space models.
Benjamin Brindle1, Thomas Derrick Hull2, Matteo Malgaroli3
1Department of Applied Mathematics and Statistics, Johns Hopkins University.
Varying and Irregular Sampling Time-series Analysis (VISTA) clusters complex time series data. This new method accurately groups multivariate, irregularly sampled data, outperforming existing techniques.
Area of Science:
- Data Science
- Machine Learning
- Statistics
Background:
- Healthcare and psychology data often feature irregular sampling.
- Standard time series clustering methods struggle with varying sampling rates.
- Unsupervised group identification is crucial for complex datasets.
Purpose of the Study:
- Introduce Varying and Irregular Sampling Time-series Analysis (VISTA).
- Develop a clustering approach for multivariate, irregularly sampled time series.
- Provide a flexible framework for diverse time series dynamics.
Main Methods:
- Utilize a parametric state-space mixture model.
- Adapt linear Gaussian state-space models (LGSSMs).
- Employ an expectation-maximization algorithm for parameter fitting.
Main Results:
- VISTA effectively handles multivariate time series with irregular sampling.
- The method demonstrates accuracy on simulated and real-world data.
- VISTA outperforms comparable standard time series clustering methods.
Conclusions:
- VISTA offers a robust solution for clustering irregularly sampled time series.
- The approach is versatile across various domains like healthcare and sensor data.
- An open-source Python implementation is available.
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