Clustering multivariate functional data using unsupervised binary trees

Steven Golovkine, Nicolas Klutchnikoff and Valentin Patilea

Computational Statistics & Data Analysis, 2022, vol. 168, issue C

Abstract: A model-based clustering algorithm is proposed for a general class of functional data for which the components could be curves or images. The random functional data realizations could be measured with errors at discrete, and possibly random, points in the definition domain. The idea is to build a set of binary trees by recursive splitting of the observations. The number of groups are determined in a data-driven way. The new algorithm provides easily interpretable results and fast predictions for online data sets. Results on simulated datasets reveal good performance in various complex settings. The methodology is applied to the analysis of vehicle trajectories on a German roundabout.

Keywords: Gaussian mixtures; Model-based clustering; Multivariate functional principal components (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:168:y:2022:i:c:s0167947321002103

DOI: 10.1016/j.csda.2021.107376

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