Robust fuzzy control of nonlinear systems using shape-adaptive radial basis functions
Fuzzy Sets and Systems - Fuzzy control
A nonparametric procedure for blind image deblurring
Computational Statistics & Data Analysis
Selective weight update rule for hybrid neural network
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
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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.