A survey on universal approximation and its limits in soft computing techniques

  title={A survey on universal approximation and its limits in soft computing techniques},
  author={Domonkos Tikk and L{\'a}szl{\'o} T. K{\'o}czy and Tam{\'a}s D. Gedeon},
  journal={Int. J. Approx. Reasoning},
This paper deals with the approximation behaviour of soft computing techniques. First, we give a survey of the results of universal approximation theorems achieved so far in various soft computing areas, mainly in fuzzy control and neural networks. We point out that these techniques have common approximation behaviour in the sense that an arbitrary function of a certain set of functions (usually the set of continuous function, C) can be approximated with arbitrary accuracy ε on a compact domain… CONTINUE READING
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