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arXiv Machine Learning

A Survey on Archetypal Analysis

A Survey on Archetypal Analysis reviews the method introduced by Cutler and Breiman in 1994 for extracting archetypes—distinct aspects—from data, where each observation is expressed as a convex combination of these archetypes. The survey covers AA’s role in feature extraction, dimensionality reduction, and its interpretability, discusses its nonconvex optimization challenges, and surveys applications across various scientific fields. It also outlines best practices, limitations, and future research directions for AA.

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