Associating neural networks with partially known relationships for nonlinear regressions

Authors:
Bao-Gang Hu;Han-Bing Qu;Yong Wang
Affiliations:
NLPR, Institute of Automation;NLPR, Institute of Automation;NLPR, Institute of Automation
Venue:
ICIC'05 Proceedings of the 2005 international conference on Advances in Intelligent Computing - Volume Part I
Year:
2005

Citing 3
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Abstract

In many regression applications, there exist common cases for users to know qualitatively, yet partially, about nonlinear relationships of physical systems. This paper presents a novel direction for constructing feedforward neural networks (FNNs) which are subject to the given nonlinear relationships. The “Integrated models”, associating FNNs with the given nonlinear functions, are proposed. Significant benefits will be obtained over the conventional FNNs by using these models. First, they add a certain degree of comprehensive power for nonlinear approximators. Second, they may provide better generalization capabilities. Two issues are discussed about the improved approximation and the estimation of the real parameters to the partially known function in the proposed models. Numerical studies are given in comparing with the conventional FNNs.