PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Nonlinear functional regression: a functional RKHS approach
hachem kadri, emmanuel duflos, Philippe Preux, Stéphane Canu and manuel davy
In: AI & Stats 2010, May 13-15, 2010, Chia Laguna, Italy.

Abstract

This paper deals with functional regression, in which the input attributes as well as the response are functions. To deal with this problem, we develop a functional reproducing kernel Hilbert space approach; here, a kernel is an operator acting on a function and yielding a function. We demonstrate basic properties of these functional RKHS, as well as a representer theorem for this setting; we investigate the construction of kernels; we provide some experimental insight.

EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
ID Code:7035
Deposited By:Philippe Preux
Deposited On:12 December 2010