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Proceedings Paper

First look at a test statistic for dimensionality reduction
Author(s): Bradley C. Wallet; Firooz A. Sadjadi
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Paper Abstract

Previous work by the authors has studied the problem of searching for projections to low dimensional spaces which are optimal for classification based upon some training data set. In our earlier work, we relied upon using separate training and test data to attempt to estimate and correct the problem of overfitting. In this paper, we examine the problems introduced by using separate training and test data. We then propose a new approach based upon searching projections based upon maximizing the Mann-Whitney test statistic. We discuss efforts made towards calculating the exact distribution of the supremum of this statistic over the Grassmannian manifold of projections to R1.

Paper Details

Date Published: 18 September 1998
PDF: 5 pages
Proc. SPIE 3371, Automatic Target Recognition VIII, (18 September 1998); doi: 10.1117/12.323828
Show Author Affiliations
Bradley C. Wallet, Naval Surface Warfare Ctr. and George Mason Univ. (United States)
Firooz A. Sadjadi, Lockheed Martin Corp. (United States)

Published in SPIE Proceedings Vol. 3371:
Automatic Target Recognition VIII
Firooz A. Sadjadi, Editor(s)

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