Title: Gaussian process methods for nonparametric functional regression with mixed predictors
Authors: Bo Wang - University of Leicester (United Kingdom) [presenting]
Aiping Xu - Coventry University (United Kingdom)
Abstract: The aim is to propose Gaussian process methods for nonparametric functional regression for both scalar and functional responses with mixed multidimensional functional and scalar predictors. The proposed models allow the response variables depending on the entire trajectories of the functional predictors. They inherit the desirable properties of Gaussian process regression, and can naturally accommodate both scalar and functional variables as the predictors, as well as easy to obtain and express uncertainty in predictions. The numerical experiments show that the proposed methods significantly outperform the competing models, and their usefulness is also demonstrated by the application to two real datasets.