Title :
High performance with low implementation cost sigmoid generators
Author :
Vassiliadis, Stamatis ; Delgado-Frias, José ; Zhang, Ming
Abstract :
In this paper, a piecewise second order approximation method to compute the sigmoid function is proposed and evaluated. The scheme provides high performance and it is inexpensive to implement in terms of hardware. It requires one multiplication and two additions for the sigmoid computation. It provides better precision with an average error of 5.3*10-3 which is less than other existing second/third order approaches having the average errors of 6.4*10-2 and 7.8*10-2 respectively. Finally the proposed scheme can provide a 1.15-1.67 speedup over existing schemes.
Keywords :
approximation theory; functional analysis; neural nets; additions; multiplication; neural nets; piecewise second order approximation; sigmoid function; sigmoid generators; Approximation methods; Artificial neural networks; Costs; Delay; Equations; Iterative methods; Least squares approximation; Neural network hardware; Polynomials; Power generation;
Conference_Titel :
Neural Networks, 1993. IJCNN '93-Nagoya. Proceedings of 1993 International Joint Conference on
Print_ISBN :
0-7803-1421-2
DOI :
10.1109/IJCNN.1993.717033
