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Title of Journal: Stat Comput

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Abbravation: Statistics and Computing

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Springer US

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10.1016/0093-691x(90)90761-h

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1573-1375

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Boosted coefficient models

Authors: Joseph Sexton Petter Laake
Publish Date: 2011/04/06
Volume: 22, Issue: 4, Pages: 867-876
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Abstract

Regression methods typically construct a mapping from the covariates into the real numbers Here however we consider regression problems where the task is to form a mapping from the covariates into a set of univariate realvalued functions Examples are given by conditional density estimation hazard regression and regression with a functional response Our approach starts by modeling the function of interest using a sum of Bspline basis functions To model dependence on the covariates the coefficients of this expansion are each modeled as functions of the covariates We propose to estimate these coefficient functions using boosted tree models Algorithms are provided for the above three situations and real data sets are used to investigate their performance The results indicate that the proposed methodology performs well In addition it is both straightforward and capable of handling a large number of covariatesThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team


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