Functional nodes in dynamic neural networks for bioprocess modelling |
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Authors: | M Fellner A Delgado T Becker |
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Institution: | 1.Lehrstuhl für Fluidmechanik und Prozessautomation, Technische Universit?t München, Au?enstelle Freising-Weihenstephan, Weihenstephaner Steig 23, 85350 Freising, Germany, |
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Abstract: | This contribution presents a novel method for the direct integration of a-priori knowledge in a neural network and its application for the online determination of a secondary metabolite during industrial yeast fermentation. Hereby, existing system knowledge is integrated in an artificial neural network (ANN) by means of 'functional nodes'. A generalized backpropagation algorithm is presented. For illustration, a set of ordinary differential equations describing the diacetyl formation and degradation during the cultivation is incorporated in a functional node and integrated in a dynamic feedforward neural network in a hybrid manner. The results show that a hybrid modelling approach exploiting available a-priori knowledge and experimental data can considerably outperform a pure data-based modelling approach with respect to robustness, generalization and necessary amount of training data. The number of training sets were decreased by 50%, obtaining the same accuracy as in a conventional approach. All incorrect decisions, according to defined cost criteria obtained with the conventional ANN, were avoided. |
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