Recursive Bias Estimation and $L_2$ Boosting

dc.creatorCornillon, Pierre Andre
dc.creatorHengartner, Nicolas
dc.creatorMatzner-Lober, Eric
dc.date2008-01-30
dc.date.accessioned2026-07-07T08:57:16Z
dc.date.available2026-07-07T08:57:16Z
dc.descriptionThis paper presents a general iterative bias correction procedure for regression smoothers. This bias reduction schema is shown to correspond operationally to the $L_2$ Boosting algorithm and provides a new statistical interpretation for $L_2$ Boosting. We analyze the behavior of the Boosting algorithm applied to common smoothers $S$ which we show depend on the spectrum of $I-S$. We present examples of common smoother for which Boosting generates a divergent sequence. The statistical interpretation suggest combining algorithm with an appropriate stopping rule for the iterative procedure. Finally we illustrate the practical finite sample performances of the iterative smoother via a simulation study. simulations.
dc.identifierhttps://arxiv.org/abs/0801.4629
dc.identifierhttp://arxiv.org/abs/0801.4629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146903
dc.subjectMethodology
dc.subjectMachine Learning
dc.titleRecursive Bias Estimation and $L_2$ Boosting
dc.typetext

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