2019
DOI: 10.1177/1471082x19885465
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Generalized linear models for geometrical current predictors: An application to predict garment fit

Abstract: The aim of this paper is to model an ordinal response variable in terms of vector-valued functional data included on a vector-valued RKHS. In particular, we focus on the vector-valued RKHS obtained when a geometrical object (body) is characterized by a current and on the ordinal regression model. A common way to solve this problem in functional data analysis is to express the data in the orthonormal basis given by decomposition of the covariance operator. But our data present very important differences with re… Show more

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Cited by 2 publications
(1 citation statement)
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“…According to , although results from the naïve approach can be very competitive in the multivariate case, taking into account the order improves the performance. In the functional case, the few papers that deals with ordinal classification when inputs are functional data are based mainly on the use of the functional generalized linear model (Aguilera & Escabias 2008;Barahona, Centella, Gual-Arnau, Ibáñez, & Simó 2020), and in many cases the order is ignored . To the best of our knowledge, ordinal methods for functional data with the ordinal binary decomposition approach, the second approach, have not been considered until now, and the third approach has not been fully exploited either.…”
Section: Introductionmentioning
confidence: 99%
“…According to , although results from the naïve approach can be very competitive in the multivariate case, taking into account the order improves the performance. In the functional case, the few papers that deals with ordinal classification when inputs are functional data are based mainly on the use of the functional generalized linear model (Aguilera & Escabias 2008;Barahona, Centella, Gual-Arnau, Ibáñez, & Simó 2020), and in many cases the order is ignored . To the best of our knowledge, ordinal methods for functional data with the ordinal binary decomposition approach, the second approach, have not been considered until now, and the third approach has not been fully exploited either.…”
Section: Introductionmentioning
confidence: 99%