51. Two-step approach in the training of regulated activation weight neural networks (RAWN)
- Author
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Henk B. Verbruggen, G. van Straten, H.J.L. van Can, and H.A.B. te Braake
- Subjects
Mathematical optimization ,Nonlinear system ,Fuzzy clustering ,Artificial neural network ,Artificial Intelligence ,Control and Systems Engineering ,Computer science ,Simple (abstract algebra) ,Feedforward neural network ,Electrical and Electronic Engineering ,Algorithm ,Backpropagation ,Nonlinear programming - Abstract
Feedforward neural networks with a single hidden layer of neurons and a linear output layer are a convenient way to model a nonlinear input-output mapping. If the activation weights, i.e. the weights between input and hidden-layer neurons, are known, an estimation problem remains that is linear in the parameters. This can easily be solved by standard least-squares methods. The problem thus reduces to finding appropriate activation weights. This paper describes a method to obtain the activation weights, based on local linear approximations, which also can be solved with standard least-squares techniques. The local linear models can be obtained by fuzzy clustering methods. The method is demonstrated on a simple example. With the proposed method the weights are obtained very fast, and the results are good. The method is also flexible with respect to the incorporation of a priori process knowledge.
- Published
- 1997
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