Multilayer Perceptron with Functional Inputs: an Inverse Regression Approach

Louis Ferré and Nathalie Villa

Scandinavian Journal of Statistics, 2006, vol. 33, issue 4, 807-823

Abstract: 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.

Date: 2006
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https://doi.org/10.1111/j.1467-9469.2006.00496.x

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