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Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10495/7342
Título : A robust algorithm for template curve estimation based on manifold embedding
Autor : Gallón Gómez, Santiago Alejandro
Dimeglio, Chloé
Loubes, Jean-Michel
Mazac, Elie
Palabras clave : Fréchet median
Functional data analysis
Isomap
Fecha de publicación : 2014
Editorial : Elsevier
Citación : Gallón Gómez, S. A., Dimeglio, C., Loubes, J. M. & Mazac, E. (2014). A robust algorithm for template curve estimation based on manifold embedding. Computational Statistics & Data Analysis, (70), 373-386. DOI: https://doi.org/10.1016/j.csda.2013.09.030
Resumen: The problem of finding a template function that represents the common pattern of a sample of curves is considered. To address this issue, a novel algorithm based on a robust version of the isometric featuring mapping (Isomap) algorithm is developed. When the functional data lie on an unknown intrinsically low-dimensional smooth manifold, the corresponding empirical Fréchet median function is chosen as an intrinsic estimator of the template function. However, since the geodesic distance is unknown, it has to be estimated. For this, a version of the Isomap procedure is proposed, which has the advantage of being parameter free and easy to use. The feature estimated with this method appears to be a good pattern for the data, capturing the inner geometry of the curves. Comparisons with other methods, with both simulated and real datasets, are provided.
URI : http://hdl.handle.net/10495/7342
ISSN : 01679473
Aparece en las colecciones: CIC (Centro de Investigaciones y Consultorías en Ciencias Económicas)

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