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Technometrics Volume 36, 1994 - Issue 4
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Original Articles

Archetypal Analysis

Adele Cutler Department of Mathematics and Statistics, Utah State University, Logan, UT, 84322-3900
&
Leo Breiman Department of Statistics, University of California, Berkeley, CA, 94720
Pages 338-347 | Published online: 12 Mar 2012
 
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Abstract

Archetypal analysis represents each individual in a data set as a mixture of individuals of pure type or archetypes. The archetypes themselves are restricted to being mixtures of the individuals in the data set. Archetypes are selected by minimizing the squared error in representing each individual as a mixture of archetypes. The usefulness of archetypal analysis is illustrated on several data sets. Computing the archetypes is a nonlinear least squares problem, which is solved using an alternating minimizing algorithm.

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