Archetypal Analysis

1994/11/01 by Adele Cutler, Leo Breiman · 9 citations
Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Metaheuristic Optimization Algorithms Research #Advanced Multi-Objective Optimization Algorithms

paper · doi:10.1080/00401706.1994.10485840

Abstract

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. KEY WORDS: ArchetypesConvex hullGraphicsNonlinear optimizationPrincipal components

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