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- W1480851625 abstract "We consider the problem of approximating a function belonging to some function space by a linear combination of $n$ translates of a given function. Using a lemma by Jones (1990) and Barron (1991) we show that it is possible to define function spaces for which the rate of convergence to zero of the error is $O({1 over sqrt n})$ in any number of dimensions. The apparent avoidance of the ``curse of dimensionality'''' is due to the fact that these function spaces are more and more constrained as the dimension increases." @default.
- W1480851625 created "2016-06-24" @default.
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- W1480851625 date "1992-02-01" @default.
- W1480851625 modified "2023-10-05" @default.
- W1480851625 title "Convergence Rates of Approximation by Translates" @default.
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- W1480851625 doi "https://doi.org/10.21236/ada260100" @default.
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