Functional Additive Models

@inproceedings{Mller2008FunctionalAM,
  title={Functional Additive Models},
  author={Hans-Georg M{\"u}ller},
  year={2008}
}
In commonly used functional regression models, the regression of a scalar or functional response on the functional predictor is assumed to be linear. This means the response is a linear function of the functional principal component scores of the predictor process. We relax the linearity assumption and propose to replace it by an additive structure. This leads to a more widely applicable and much more flexible framework for functional regression models. The proposed functional additive… CONTINUE READING