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Back-propagation neural networks (BPN) have been extensively used as global approximation tools in the context of approximate optimization.
Artificial neural networks (ANN) have been extensively used as global approximation tools in the context of approximate optimization.
Then, we give the global approximation property for these operators.
Then, the global approximation property is given for these operators.
The "global approximation" was challenged by comparison with regional and local acceleration data.
The use of neural networks as global approximation tool in crashworthiness problems is here investigated.
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Also, in the companion paper, two new training methods that used the derivative information to build global approximations, and a mixed local-global approximation scheme were proposed in addition to the common function-based training method.
The advantage is that efficient local approximations and accurate global approximations are combined to achieve an effective solution procedure.
Most of the methods proposed in the literature so far construct global approximations of the failure hypersurface.
In general, the BP neural network can better construct the global approximations to the input output mapping, whereas an RBF neural network employs the exponentially decaying localized input output mapping which can effectively model the large variation locally.
Such learning systems have received some attention in the field of computer science, where they have been referred to as classifier systems; the paper discusses the significance of this approach in the problem of constructing high-quality global approximations for subsequent use in design optimization.
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