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From Spider-Man to Hero — Archetypal Analysis in R

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  • Eugster, Manuel J. A.
  • Leisch, Friedrich

Abstract

Archetypal analysis has the aim to represent observations in a multivariate data set as convex combinations of extremal points. This approach was introduced by Cutler and Breiman (1994); they defined the concrete problem, laid out the theoretical foundations and presented an algorithm written in Fortran. In this paper we present the R package archetypes which is available on the Comprehensive R Archive Network. The package provides an implementation of the archetypal analysis algorithm within R and different exploratory tools to analyze the algorithm during its execution and its final result. The application of the package is demonstrated on two examples.

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  • Eugster, Manuel J. A. & Leisch, Friedrich, 2009. "From Spider-Man to Hero — Archetypal Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 30(i08).
    • Handle: RePEc:jss:jstsof:v:030:i08
    DOI: http://hdl.handle.net/10.18637/jss.v030.i08
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    References listed on IDEAS

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    1. Giovanni C. Porzio & Giancarlo Ragozini & Domenico Vistocco, 2008. "On the use of archetypes as benchmarks," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(5), pages 419-437, September.
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    Cited by:

    1. Lea A I Vaas & Johannes Sikorski & Victoria Michael & Markus Göker & Hans-Peter Klenk, 2012. "Visualization and Curve-Parameter Estimation Strategies for Efficient Exploration of Phenotype Microarray Kinetics," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-18, April.
    2. de Wit, Juliette & Beugelsdijk, Sjoerd, 2024. "Reconciling the individual and societal level in comparative cultural analysis: An archetypal analysis of values and norms across 76 countries," GLO Discussion Paper Series 1483, Global Labor Organization (GLO).
    3. Seiler, Christian & Wohlrabe, Klaus, 2013. "Archetypal scientists," Journal of Informetrics, Elsevier, vol. 7(2), pages 345-356.
    4. Epifanio, Irene, 2016. "Functional archetype and archetypoid analysis," Computational Statistics & Data Analysis, Elsevier, vol. 104(C), pages 24-34.
    5. Tessier, Louis & Bijttebier, Jo & Marchand, Fleur & Baret, Philippe V., 2021. "Identifying the farming models underlying Flemish beef farmers' practices from an agroecological perspective with archetypal analysis," Agricultural Systems, Elsevier, vol. 187(C).
    6. Sjoerd Beugelsdijk & Hester van Herk & Robbert Maseland, 2022. "The Nature of Societal Conflict in Europe; an Archetypal Analysis of the Postmodern Cosmopolitan, Rural Traditionalist and Urban Precariat," Journal of Common Market Studies, Wiley Blackwell, vol. 60(6), pages 1701-1722, November.
    7. Moliner, Jesús & Epifanio, Irene, 2019. "Robust multivariate and functional archetypal analysis with application to financial time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 195-208.
    8. Irene Epifanio & María Victoria Ibáñez & Amelia Simó, 2018. "Archetypal shapes based on landmarks and extension to handle missing data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(3), pages 705-735, September.
    9. Vinué, Guillermo & Epifanio, Irene & Alemany, Sandra, 2015. "Archetypoids: A new approach to define representative archetypal data," Computational Statistics & Data Analysis, Elsevier, vol. 87(C), pages 102-115.
    10. Abdul Suleman, 2017. "On ill-conceived initialization in archetypal analysis," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(4), pages 785-808, December.

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