Multilayer Perceptron with Functional Inputs: an Inverse Regression Approach
Louis Ferré, NATHALIE VILLA · Scandinavian Journal of Statistics · 2006
Abstract. Functional data analysis is a growing research field as more and more practical applications involve functional data. In this paper, we focus on the problem of regression and classification with functional predictors: the model suggested combines an efficient dimension reduction procedure [functional sliced inverse regression, first introduced by Ferré & Yao (Statistics, 37, 2003 , 475)], for which we give a regularized version, with the accuracy of a neural network. Some consistency results are given and the method is successfully confronted to real‐life data.