Section: New Results
An introduction to dimension reduction in nonparametric kernel regression
Participant : Jérôme Saracco.
Nonparametric regression is a powerful tool to estimate nonlinear relations between some predictors and a response variable. However, when the number of predictors is high, nonparametric estimators may suffer from the curse of dimensionality. In this chapter, we show how a dimension reduction method (namely Sliced Inverse Regression) can be combined with nonparametric kernel regression to overcome this drawback. The methods are illustrated both on simulated datasets as well as on an astronomy dataset using the R software  .
This work is in collaboration with S. Girard from Inria MISTIS team .