A Numerical Implementation of Kolmogorov's Superpositions

@article{Sprecher1996ANI,
  title={A Numerical Implementation of Kolmogorov's Superpositions},
  author={David A. Sprecher},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={1996},
  volume={9 5},
  pages={
          765-772
        }
}
Hecht-Nielsen proposed a feedforward neural network based on Kolmogorov's superpositionsf(x(i), em leader,x(n))= summation operator q=02piPhi(q)(y(q)) that apply to all real valued continuous functions f(x(1), em leader, x(n)) defined on a Euclidean unit cube of dimension n >/= 2. This network has a hidden layer that is independent of f and that transforms the n-tuples (x(1), em leader, x(n)) into the 2n + 1 variables y(q), and an output layer in which f is computed. Kůrková has shown that such… CONTINUE READING
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