The method of Successive Approximations for Reproducing Kernel Hilbert Spaces (1)
Dodd, T.J. and Harrison, R.F.
(2001)
The method of Successive Approximations for Reproducing Kernel Hilbert Spaces (1).
Research Report.
ACSE Research Report 805
.
Department of Automatic Control and Systems Engineering
Abstract
A general framework for function approximation from finite data is presented based on reproducing kernel Hilbert spaces. Key results are summarised and the normal and regularised solutions are described. A potential limitation to these solutions for large data sets is the computational burden. An iterative approach to the least squares normal solution is proposed to overcome this. Detailed proofs of convergence are given.
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)