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Application of Neural Networks in Chain Curve Modelling

  • Andrzej Piegat
  • Izabela Rejer
  • Marek Mikolajczyk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)

Abstract

A modelling process of an unknown multi-dimensional system is mostly performed with methods which describe the system by a multi-dimensional surface (e.g. neural networks (NNs)). Some systems, however, does not have a surface nature. On the contrary – their behavior resembles multi-dimensional chains. Obviously, as it was proven in numerous applications, always better results can be obtained when the modelling method corresponds to the system nature. Therefore, when a data distribution of an unknown system has a chain characteristic, the system should be also modelled with a chain, not a surface, method. The aim of this article is to present the alternative approach to the modelling process, in which the multi-dimensional model of an unknown system is built on the basis of a set of two-dimensional NNs instead of one multi-dimensional NN. The proposed approach results in a chain multi-dimensional model of an analyzed system.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Andrzej Piegat
    • 1
    • 2
  • Izabela Rejer
    • 1
  • Marek Mikolajczyk
    • 1
  1. 1.University of SzczecinPoland
  2. 2.Technical University of SzczecinPoland

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