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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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Modern graphical tools have enhanced our ability to learn many
things from data directly, but the issue is what to plot with a
high-dimensional data set. Thus dimension reduction shows its
importance. Based on information theory, here we develop a model-free dimension reduction technique for extracting important information. Our method in general could be applied in any area relating to information extraction. It also can be viewed as inverse regression. It involves density estimation which can be estimated non-parametrically. And that is feasible with the help of fast computing techniques. We provide theoretical justification for connecting with central
subspace. Illustrative examples are presented.
