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  4. Error estimates for multivariate regression on discretized function spaces
 
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2017
Journal Article
Title

Error estimates for multivariate regression on discretized function spaces

Abstract
In this paper, we will discuss the discretization error for the regression setting and derive error bounds relying on the approximation properties of the discretized space. Furthermore, we will point out how the sampling error and the discretization error interact and how they can be balanced appropriately. We will present two examples based on tensor product spaces (sparse grids, hyperbolic crosses) which provide a suitable approach in the case of large sample sets in moderate dimensions.
Author(s)
Bohn, B.
Griebel, M.
Journal
SIAM journal on numerical analysis  
Project(s)
SFB 1060 ""The Mathematics of Emergent Effects"
Funder
Deutsche Forschungsgemeinschaft DFG  
Open Access
DOI
10.1137/15M1013973
Additional full text version
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Language
English
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI  
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