A Note on Archetypal Analysis and the Approximation of Convex Hulls

Christian Bauckhage

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arXiv · 1410.0642

A Note on Archetypal Analysis and the Approximation of Convex Hulls

Christian Bauckhage

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Abstract

We briefly review the basic ideas behind archetypal analysis for matrix factorization and discuss its behavior in approximating the convex hull of a data sample. We then ask how good such approximations can be and consider different cases. Understanding archetypal analysis as the problem of computing a convexity constrained low-rank approximation of the identity matrix provides estimates for archetypal analysis and the SiVM heuristic.

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Christian Bauckhage. 2014-09-27. A Note on Archetypal Analysis and the Approximation of Convex Hulls. https://arxiv.org/abs/1410.0642

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