Back-propagation of accuracy

Details Back-propagation of accuracy Back-propagation of accuracy

2003-05-22

arxiv.org/abs/cond-mat/0305527v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures, The talk given on ICNN97 (The 1997 IEEE International Conference on Neural Networks, Houston, USA)

Scientific paper

In this paper we solve the problem: how to determine maximal allowable errors, possible for signals and parameters of each element of a network proceeding from the condition that the vector of output signals of the network should be calculated with given accuracy? "Back-propagation of accuracy" is developed to solve this problem. The calculation of allowable errors for each element of network by back-propagation of accuracy is surprisingly similar to a back-propagation of error, because it is the backward signals motion, but at the same time it is very different because the new rules of signals transformation in the passing back through the elements are different. The method allows us to formulate the requirements to the accuracy of calculations and to the realization of technical devices, if the requirements to the accuracy of output signals of the network are known.

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