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Application of neural networks in chain curve modelling. (English)
Rutkowski, Leszek (ed.) et al., Artificial intelligence and soft computing ‒ ICAISC 2006. 8th international conference, Zakopane, Poland, June 25‒29, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-35748-3/pbk). Lecture Notes in Computer Science 4029. Lecture Notes in Artificial Intelligence, 104-112 (2006).
Summary: 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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