RTFBoost: robust tree-based functional boosting
In practical functional regression problems, measurements of the response and the functional predictor may either or both contain atypical values, which can cause serious damage to the regression estimator if not taken into consideration. We provide two options to robustify tree-based functional boosting, inspired by M and MM-estimators respectively, and investigate their performance through numerical experiments. We have also developed an R package called “RTFBoost” that implements our proposal.