Unsupervised Curve Clustering using B-Splines |
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Authors: | C Abraham P A Cornillon E Matzner-Løber N Molinari |
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Institution: | ENSA-INRA Montpellier ;UniversitéRennes II ;UniversitéRennes II and ENSAI ;UniversitéMontpellier I |
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Abstract: | Data in many different fields come to practitioners through a process naturally described as functional. Although data are gathered as finite vector and may contain measurement errors, the functional form have to be taken into account. We propose a clustering procedure of such data emphasizing the functional nature of the objects. The new clustering method consists of two stages: fitting the functional data by B‐splines and partitioning the estimated model coefficients using a k‐means algorithm. Strong consistency of the clustering method is proved and a real‐world example from food industry is given. |
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Keywords: | B-splines clustering epi-convergence functional data k-means partitioning |
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