First look at a test statistic for dimensionality reduction

Bradley C. Wallet; Firooz A. Sadjadi

doi:10.1117/12.323828

18 September 1998 First look at a test statistic for dimensionality reduction

Bradley C. Wallet, Firooz A. Sadjadi

Proceedings Volume 3371, Automatic Target Recognition VIII; (1998) https://doi.org/10.1117/12.323828
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

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.

Citation Download Citation

Bradley C. Wallet and Firooz A. Sadjadi "First look at a test statistic for dimensionality reduction", Proc. SPIE 3371, Automatic Target Recognition VIII, (18 September 1998); https://doi.org/10.1117/12.323828

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available