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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/91870

    Title: Functional Data Classification via Covariate Adjusted Subspace Projection
    Authors: LI, PAI-LING
    Contributors: 淡江大學統計學系
    Date: 2013-07-24
    Issue Date: 2013-07-30 19:48:02 (UTC+8)
    Abstract: A covariate adjusted subspace projected functional data classification (SPFC) method is proposed
    for curves or functional data classification with accommodating additional covariate information.
    Based on the framework of subspace projected functional data clustering, curves of each cluster are
    embedded in the cluster subspace spanned by a mean function and eigenfunctions of the covariance
    kernel. We assume that the mean function may depend on covariates, and curves of each cluster
    are represented by the covariate adjusted functional principal components analysis (FPCA) model or
    covariate adjusted Karhunen-Loève expansion. Under the assumption that all the groups have different
    mean functions and eigenspaces, an observed curve is classified into the best predicted class by
    minimizing the distance between the observed curve and predicted functions via subspace projection
    among all clusters based on the covariate adjusted FPCA model. The proposed covariate adjusted
    SPFC method that accommodates additional information of other covariates is advantageous to improving
    the classification error rate. Numerical performance of the proposed method is examined by
    simulation studies, with an application to a data example.
    Relation: The 29th European Meeting of Statisticians
    Appears in Collections:[Graduate Institute & Department of Statistics] Proceeding

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