High-Dimensional Linear Data Interpolation

Russell Pflughaupt

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-93-745
May 1993

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1993/CSD-93-745.pdf

This report explores methods for interpolating across high-dimensional data sets. We describe and evaluate algorithms designed for problems with 100 to 10,000 points in dimensions 2 through 40. Specialized algorithms that attempt to take advantage of properties of locality are shown to be less efficient than generalized algorithms such as gift-wrapping and linear programming. In addition, this report contains an accumulation of information on the properties of high-dimensional spaces.


BibTeX citation:

@techreport{Pflughaupt:CSD-93-745,
    Author = {Pflughaupt, Russell},
    Title = {High-Dimensional Linear Data Interpolation},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1993},
    Month = {May},
    URL = {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1993/6278.html},
    Number = {UCB/CSD-93-745},
    Abstract = {This report explores methods for interpolating across high-dimensional data sets. We describe and evaluate algorithms designed for problems with 100 to 10,000 points in dimensions 2 through 40. Specialized algorithms that attempt to take advantage of properties of locality are shown to be less efficient than generalized algorithms such as gift-wrapping and linear programming. In addition, this report contains an accumulation of information on the properties of high-dimensional spaces.}
}

EndNote citation:

%0 Report
%A Pflughaupt, Russell
%T High-Dimensional Linear Data Interpolation
%I EECS Department, University of California, Berkeley
%D 1993
%@ UCB/CSD-93-745
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1993/6278.html
%F Pflughaupt:CSD-93-745