Highly Influenced

4 Excerpts

@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 } }

- Published in Neural Networks 1996
DOI:10.1016/0893-6080(95)00081-X

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