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    Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/74395

    Título
    Robust clustering for functional data based on trimming and constraints
    Autor
    Rivera García, Diego
    García Escudero, Luis ÁngelAutoridad UVA Orcid
    Mayo Iscar, AgustínAutoridad UVA Orcid
    Ortega, Joaquín
    Año del Documento
    2019
    Editorial
    Springer
    Documento Fuente
    Advances in Data Analysis and Classification, 13(1), 201-225.
    Résumé
    Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust, model-based clustering method that relies on an approximation to the “density function” for functional data. The robustness follows from the joint application of data-driven trimming, for reducing the effect of contaminated observations, and constraints on the variances, for avoiding spurious clusters in the solution. The algorithm is designed to perform clustering and outlier detection simultaneously by maximizing a trimmed “pseudo” likelihood. The proposed method has been evaluated and compared with other existing methods through a simulation study.Better performance for the proposed methodology is shown when a fraction of contaminating curves is added to a non-contaminated sample. Finally, an application to a real data set that has been previously considered in the literature is given.
    Revisión por pares
    SI
    DOI
    10.1007/s11634-018-0312-7
    Patrocinador
    Spanish Ministerio de Economía y Competitividad, grant MTM2017-86061-C2-1-P, and by Consejería de Educación de la Junta de Castilla y León and FEDER, grant VA005P17.
    Conacyt, Mexico Projects 169175 Análisis Estadístico de Olas Marinas, Fase II y 234057 Análisis Espectral, Datos Funcionales y Aplicaciones).
    Version del Editor
    https://link.springer.com/article/10.1007/s11634-018-0312-7
    Idioma
    spa
    URI
    https://uvadoc.uva.es/handle/10324/74395
    Tipo de versión
    info:eu-repo/semantics/draft
    Derechos
    openAccess
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    • DEP24 - Artículos de revista [78]
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    Robust_clustering_for _functional_data_base_on_trimming_and_constraints .pdf
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