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

@article{Tikk2003ASO,
  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},
  year={2003},
  volume={33},
  pages={185-202}
}
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
Highly Cited
This paper has 118 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

119 Citations

01020'02'05'09'13'17
Citations per Year
Semantic Scholar estimates that this publication has 119 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 53 references

Fuzzy logic controllers are universal approximators

IEEE Trans. Systems, Man, and Cybernetics • 1995
View 6 Excerpts
Highly Influenced

Kolmogorov's theorem and multilayer neural networks

Neural Networks • 1992
View 10 Excerpts
Highly Influenced

Approximation capabilities of multilayer feedforward networks

Neural Networks • 1991
View 6 Excerpts
Highly Influenced

Approximation theory and feedforward networks

Neural Networks • 1991
View 7 Excerpts
Highly Influenced

On the representation of continuous functions of many variables by superpositions of continuous functions of one variable and addition

A. N. Kolmogorov
Dokl. Akad. SSSR, 114:953–956 • 1957
View 9 Excerpts
Highly Influenced

Are fuzzy systems universal approximators? Int

E. P. Klement, L. T. Kóczy, B. Moser
J. General Systems, 28(2–3):259–282 • 1999
View 3 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…