Recursive bias estimation and L_2 boosting

old_uid4718
titleRecursive bias estimation and L_2 boosting
start_date2008/05/05
schedule13h30
onlineno
summaryWe present 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.
responsiblesStoltz