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Multiway clustering with time-varying parameters
Roy Cerqueti1,2,3, Raffaele Mattera1, Germana Scepi4
1Department of Social and Economic Sciences, Sapienza University of Rome, Rome, Italy.
This study introduces a new clustering method for multivariate time series data with changing parameters. The approach is validated using simulations and real-world air quality data analysis.
Area of Science:
- Statistics
- Data Science
- Environmental Science
Background:
- Clustering of time series is well-established for static distributions.
- Methods for time-varying parameters are emerging but scarce for multivariate data.
Purpose of the Study:
- To propose a novel clustering approach for multivariate time series with time-varying parameters.
- To address the gap in existing methods for this specific data type.
Main Methods:
- Developed a multiway framework for distribution-based clustering.
- Incorporated time-varying parameter estimation within the clustering procedure.
Main Results:
- Demonstrated the effectiveness of the proposed clustering method.
- Validated the approach through a simulation study.
Conclusions:
- The proposed multiway clustering approach is effective for multivariate time series with time-varying parameters.
- The method shows practical applicability with real air quality data.
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