SFB 303 Discussion Paper No. A - 176
Author: Härdle, Wolfgang
Title: Efficient Nonparametric Smoothing in High Dimensions Using Interactive Graphical Techniques
Abstract: Smoothing techniques are used to reduce the variability of point clouds. There is great interest not only
among applied statisticians but also among applied workers in biostatistics, economics and engineering to model
the data in a nonparametric fashion. The benefits of this more flexible modeling come at the cost of greater
computation, especially in high dimensions. In this paper several possibilities of smoothing in high dimensions
are described using additive models. The algorithms for solving the nonparametric smoothing problems are
based on WARPing, i.e. Weighted Averaging using Rounded Points. Interactive graphical techniques are a
conditio sine qua non for tuning and checking the structure of lower dimensional projections of the data and of
smooths produceds by the algorithms. Applications of the WARPing technique to a side impact study are shown
by smoothing in Projection-Pursuit-type models using Average Derivative Estimation.
Creation-Date: June 1988
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