Search
Search Results
-
Regularized Greedy Algorithms for Network Training with Data Noise
The aim of this paper is to construct a modified greedy algorithm applicable for an ill-posed function approximation problem in presence of data...
-
Error Estimates for Multilevel Approximation Using Polyharmonic Splines
Polyharmonic splines are used to interpolate data in a stationary multilevel iterative refinement scheme. By using such functions the necessary tools...
-
Orthogonal Decompositions in Hilbertian Subspaces, Error Functions and Optimal Extensions of Interpolation Systems
We address the question of optimal extensions of a fixed set S ⊂Ω of measurement points for an interpolation system in a reproducing kernel Hilbert...
-
Linear best approximation using a class ofk-majorl p norms
Consideration is given to problems of linear best approximation using a variant of the usual l p norms referred to as k -major l p norms, for the cases...
-
Decomposition of refinable spaces and applications to operator equations
This paper presents a brief survey of several recent applications of multilevel techniques, in particular, in connection with the solution of...
-
Linear best approximation using a class of polyhedral norms
A class of polyhedral norms is introduced, which contains the l 1 and l ∞ norms as special cases. Of primary interest is the solution of linear best...
-
Using the refinement equation for the construction of pre-wavelets
A variety of methods have been proposed for the construction of wavelets. Among others, notable contributions have been made by Battle, Daubechies,...