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Projection Pursuit Indices Based on the Empirical Distribution Function

Journal Article · · Journal of Computational and Graphical Statistics

Exploratory Projection Pursuit is a technique for finding interesting low-dimensional projections of multivariate data. To reach this goal, one optimizes an index, assigned to every projection, that characterizes the structure present in the projection. Most indices require the estimation of the marginal density of the projected data. Such estimations involve a tuning parameter that greatly influences the behavior of the index. However, the optimization is usually performed with an ad hoc, often fixed value for this parameter. In this paper we propose indices based on the empirical distribution function that do not require to be tuned. This allows users to use Exploratory Projection Pursuit without having to pre-determine an ''esoteric'' tuning parameter.

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-76RL01830
OSTI ID:
876880
Report Number(s):
PNWD-SA-6679
Journal Information:
Journal of Computational and Graphical Statistics, Journal Name: Journal of Computational and Graphical Statistics Journal Issue: 3 Vol. 14
Country of Publication:
United States
Language:
English

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