Principal Curves of Oriented Points: theoretical and computational improvements

Pedro Delicado and Mario Huerta ()
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Mario Huerta: Universitat Politècnica de Catalunya

Computational Statistics, 2003, vol. 18, issue 2, No 7, 293-315

Abstract: Summary Principal curves where introduced by Hastie & Stuetzle (1989) as smooth parametric curves passing through the middle of a multidimensional data set. Delicado (2001) defines Principal Curves of Oriented Points, based on the fixed points of a function from ℝp into itself. This definition is nonparametric and smoothing methods are used to find principal curves of a data set. Here we extend this work in two directions. First, we propose a bandwidth choice method based on the Minimum Spanning Tree of the data set. Second, we present an object oriented application that implements the principal curves computation for any dimension in a flexible recursive way. Examples on synthetic and real data are included.

Keywords: Bandwidth choice; clustering; Minimum Spanning Tree; object oriented programming; population pyramids (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s001800300145

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