Archetypal shapes based on landmarks and extension to handle missing data
Impacte
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Archetypal shapes based on landmarks and extension to handle missing dataData de publicació
2017-10Editor
Springer VerlagCita bibliogràfica
EPIFANIO, Irene; IBÁÑEZ, María Victoria; SIMÓ, Amelia. Archetypal shapes based on landmarks and extension to handle missing data. Advances in Data Analysis and Classification, 2017, p. 1-31.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007%2Fs11634-017-0297-7Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
Archetype and archetypoid analysis are extended to shapes. The objective is to find representative shapes. Archetypal shapes are pure (extreme) shapes. We focus on the case where the shape of an object is represented ... [+]
Archetype and archetypoid analysis are extended to shapes. The objective is to find representative shapes. Archetypal shapes are pure (extreme) shapes. We focus on the case where the shape of an object is represented by a configuration matrix of landmarks. As shape space is not a vectorial space, we work in the tangent space, the linearized space about the mean shape. Then, each observation is approximated by a convex combination of actual observations (archetypoids) or archetypes, which are a convex combination of observations in the data set. These tools can contribute to the understanding of shapes, as in the usual multivariate case, since they lie somewhere between clustering and matrix factorization methods. A new simplex visualization tool is also proposed to provide a picture of the archetypal analysis results. We also propose new algorithms for performing archetypal analysis with missing data and its extension to incomplete shapes. A well-known data set is used to illustrate the methodologies developed. The proposed methodology is applied to an apparel design problem in children. [-]
Proyecto de investigación
Spanish Ministerio de Economía y Competitividad (Project DPI2013−47279−C2−1−R)Drets d'accés
© 2017 Springer International Publishing AG. Part of Springer Nature.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
Apareix a les col.leccions
- IF_Articles [319]
- MAT_Articles [770]