NDLI: Initial evaluation of centroidal Voronoi tessellation method for statistical sampling and function integration

Content Provider	IEEE Xplore Digital Library
Author	Romero, V.J. Burkardt, J.V. Gunzberger, M.D. Peterson, J.S.
Copyright Year	2003
Description	Author affiliation: Sandia Nat. Labs., Albuquerque, NM (Romero, V.J.)
Abstract	A recently developed centroidal Voronoi tessellation (CVT) unstructured sampling method is investigated here to assess its suitability for use in statistical sampling and function integration. CVT efficiently generates a highly uniform distribution of sample points over arbitrarily shaped M-dimensional parameter spaces. It has recently been shown on several 2D test problems to provide superior point distributions for generating locally conforming response surfaces. Its performance as a statistical sampling and function integration method is compared to that of latin-hypercube sampling (LHS) and simple random sampling (SRS) Monte Carlo methods, and Halton and Hammersley quasiMonte-Carlo sequence methods. Specifically, sampling efficiencies are compared for function integration and for resolving various statistics of response in a 2D test problem. It is found that on balance CVT performs best of all these sampling methods on our test problems
Starting Page	174
Ending Page	191
File Size	324809
Page Count	18
File Format	PDF
ISBN	0769519970
DOI	10.1109/ISUMA.2003.1236159
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-09-21
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Hypercubes Testing Laboratories Contracts Response surface methodology Statistical analysis Performance evaluation Monte Carlo methods History
Content Type	Text
Resource Type	Article

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