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Using mathematical morphology for unsupervised classification of functional data. (English) Zbl 1219.62102

Summary: This paper is concerned with the unsupervised classification of functional data by using mathematical morphology. Different morphological operators are used to extract relevant structures of the functions (considered as sets through their subgraph representations). These operators can be considered as preprocessing tools whose outputs are also functional data. We explore some dissimilarity measures and clustering methods for the classification of the transformed data. Our approach is illustrated through a detailed analysis of two data sets. These techniques, which have mainly been used in image processing, provide a flexible and robust toolbox for improving the results in unsupervised functional data classification.

MSC:

62H30 Classification and discrimination; cluster analysis (statistical aspects)
62H11 Directional data; spatial statistics
65C60 Computational problems in statistics (MSC2010)

Software:

biOps; cluster (R)
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Full Text: DOI

References:

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