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Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17

Editor
C. H. Dagli
C. H. Dagli
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ISBN-10:
0791802655
No. of Pages:
650
Publisher:
ASME Press
Publication date:
2007

In this paper we derive explicit expressions for the gradient and the Hessian of the objective function (which in the sum of the squared errors) with respect to the weight matrices in a general feed-forward neural network using the standard methods for computing the first-order and second-order variations of a scalar-valued function of a vector.

Abstract
Introduction
Statement of the Problem
The Variational Approach
Conclusion
References
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