Neural network-based PCA: an application to approximation of a distributed parameter system

  • Authors:
  • Krzysztof Bartecki

  • Affiliations:
  • Institute of Control and Computer Engineering, Opole University of Technology, Opole, Poland

  • Venue:
  • ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
  • Year:
  • 2012

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Abstract

In this article, an approximation of the spatiotemporal response of a distributed parameter system (DPS) with the use of the neural network-based principal component analysis (PCA) is considered. The presented approach is carried out using two different neural structures: single-layer network with unsupervised, generalized Hebbian learning (GHA-PCA) and two-layer feedforward network with supervised learning (FF-PCA). In each case considered, the effect of the number of units in the network projection layer on the mean square approximation error (MSAE) and on the data compression ratio is analysed.