Functional data analysis involves data described by regular functions rather than by a finite number of real valued variables.While some robust data analysis methods can be applied directly to the very high dimensional vectors obtained from a fine grid sampling of functional data, all methods benefit from a prior simplification of the functions that reduces the redundancy induced by the regularity. In this paper we propose to use a clustering approach that targets variables rather than individual to design a piecewise constant representation of a set of functions. The contiguity constraint induced by the functional nature of the variables allows a polynomial complexity algorithm to give the optimal solution. © Springer-Verlag Berlin Heidelberg 2011.
CITATION STYLE
Rossi, F., & Lechevallier, Y. (2011). Constrained variable clustering and the best basis problem in functional data analysis. In Studies in Classification, Data Analysis, and Knowledge Organization (pp. 435–444). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-13312-1_46
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