Archetypal Analysis

Archetypal Analysis

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Technometrics 1994-11, Vol.36 (4), p.338-347
Hauptverfasser: Cutler, Adele, Breiman, Leo
Format: Artikel
Sprache:eng
Schlagworte:
Archetypes
Convex hull
Datasets
Exact sciences and technology
Graphics
Least squares
Local minimum
Magnetic fields
Mathematical methods in physics
Mathematical minima
Mathematical vectors
Mathematics
Multivariate analysis
Nonlinear optimization
Ozone
Physics
Plasma temperature
Principal components
Probability and statistics
Probability theory, stochastic processes, and statistics
Sciences and techniques of general use
Statistics
Tokamak devices
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0040-1706
1537-2723
DOI:10.1080/00401706.1994.10485840