On the approximation by weighted ridge functions

Details On the approximation by weighted ridge functions On the approximation by weighted ridge functions

2007-08-24

arxiv.org/abs/0708.3356v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

We characterize the best $L_{2}$ approximation to a multivariate function by
linear combinations of ridge functions multiplied by some fixed weight
functions. In the special case when the weight functions are constants, we
propose explicit formulas for both the best approximation and approximation
error.

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