Abstract
Up to now, in modelling ill-defined systems a major effort was aimed at parameter estimation. Several refined algorithms were introduced to find a parameter set as optimal as possible, optimal in error reducing performance, optimal in noise sensitivity, even with on-line capabilities. However, they all lack the same fundamental notion of finding first structural information.
In the sequel, a promising first step in the model characterization process is presented. The method is based on the identification properties of the mapping of a function onto an orthogonal base of primitive functions, i.e. the transformation of a function towards a vector of features.
Finally, the analogy between ill-defined system modelling and data supercompression is considered. Can methods and algorithms be interchanged ?
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References
Frietman E.E.E., E.J.H. Kerckhoffs and F.W. Wedman. 1991. “Guarding vibration patterns of a mechanical assembly with the help of neural network”, SCS Multiconference.
Karplus, W.J. 1976. “The spectrum of mathematical modelling and systems simulation”, Simulation of Systems/Proceedings of 8th Imacs (formerly AICA) Congress, Ed.:L. Dekker, North Holland, Amsterdam, pp. 5–13.
Khotanzad, A. and Y.H. Hong. May 1990. “Invariant Image Recognition by Zernike Moments”, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 12, No. 5.
Spriet, J.A. and G.C. Vansteenkiste. 1982. Computer-aided Modelling and Simulation, Academic Press, New York.
Vermeersch, L.K. and G.C. Vansteenkiste. July 1990. “Introducing Neural Networks for Feature Extraction in System Modeling”, 1990 Summer Computer Simulation Conference, Calgary, Alberta, Canada.
Widman, L.E. and K.A. Loparo. 1989. “Artificial Intelligence. Simulation and modelling: a Critical Survey”, Artificial Intelligence. Simulation and Modelling, Eds: L.E. Widman, K.A. Loparo and N.R. Nielsen, Wiley, New York, pp. 1–44.
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© 1991 Springer Science+Business Media Dordrecht
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Vermeersch, L.K., Vansteenkiste, G.C., Kerckhoffs, E.J.H., Koppelaar, H. (1991). Function Transformation: a First Step towards Ill-Defined System Modelling. In: Tzafestas, S.G. (eds) Engineering Systems with Intelligence. Microprocessor-Based and Intelligent Systems Engineering, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2560-4_74
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DOI: https://doi.org/10.1007/978-94-011-2560-4_74
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