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factorize docu updated
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R/factorize.R

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#'
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#' Factorize an FDboost tensor product model into the response and covariate parts
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#' \deqn{h_j(x, t) = \sum_{k} v_j^{(k)}(t) h_j^{(k)}(x), j = 1, ..., J,}
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#' for effect visualization as proposed in Stoecker and Greven (2021).
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#' for effect visualization as proposed in Stoecker, Steyer and Greven (2022).
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#'
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#' @param x a model object of class FDboost.
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#' @param ... other arguments passed to methods.
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#'
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#' @details The mboost infrastructure is used for handling the orthogonal response
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#' directions \eqn{v_j^{(k)}(t)} in one \code{mboost}-object
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#' (with \eqn{k} running over iteration indices) and the effects into the respective
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#' directions \eqn{h_j^{(k)}(t)} in another, both of subclass \code{FDboost_fac}.
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#' directions \eqn{h_j^{(k)}(t)} in another \code{mboost}-object,
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#' both of subclass \code{FDboost_fac}.
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#' The number of boosting iterations of \code{FDboost_fac}-objects cannot be
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#' further increased as in regular \code{mboost}-objects.
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#'
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#' @return a list of two mboost models of class \code{FDboost_fac} containing basis functions
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#' for response and covariates, respectively, as base-learners.
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#' @seealso [FDboost_fac-class]
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#'
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#' @references
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#' Stoecker, A. and Greven, S. (2021):
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#' Stoecker, A., Steyer L. and Greven, S. (2022):
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#' Functional additive models on manifolds of planar shapes and forms
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#' <arXiv:2109.02624>
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#'

man/factorize.Rd

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