Model completion and validation using inversion of grey box models

Bill Whiten


A grey box model uses some theoretical structure that is not complete and it is thus necessary to complete the model using data. Unfortunately, as the models are generally nonlinear, the efficient linear methods of selecting regression terms were not available for the completion of these models. However, the method of model inversion converts the unknown parts within a nonlinear model into an approximate linear model such that efficient linear term selection methods can be applied. In addition to completing grey box models, the inversion technique can be used to test if the model adequately describes the available data.

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Grey box models; Model completion; Model validation; Model inversion

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.