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Vertical Vector Fields and Neural Networks: An Application in Atmospheric Pollution Forecasting

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Artificial Neural Nets and Genetic Algorithms

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Abstract

In this paper we look at the role that vertical fields can play in enhancing the performance of a feedforward neural network. Vertical fields help us to determine zones in the input space that are mapped onto the same output, they act in a similar way to kernels of linear mappings but in a nonlinear setting. In the paper we illustrate our ideas using data from a real application, namely forecasting atmospheric pollution for the town of Saint-Etienne in France.

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References

  1. D.W. Pearson, G. Dray, M. Mesbah and B. Vuillot (2000), Ozone, Systmes Dynamiques et “Shadowing”, Journées thématiques “Automatique et Environnement”, Nancy, France.

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  2. D.W. Pearson, M. Batton-Hubert and G.H. Garcia (2002), Predicting Ozone Peaks: A combined CBR and cell mapping approach, IEMSS02, Lugano, Switzerland.

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  3. N. Peton, G. Dray, D.W. Pearson, M. Mesbah and B. Vuillot (1998), Modelling and Analysis of Ozone Episodes, International Conference on Air Pollution Modelling and Simulation, Paris, France.

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  4. G.H. Golub and C.F. Van Loan (1983), Matrix Computations, North Oxford Academic.

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  5. P.J Olver (1986), Applications of Lie Groups to the solution of differential equations, Springer Verlag.

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  6. D.W. Pearson (1996), Approximating Vertical Vector Fields for Feedforward Neural Networks, Applied Mathematics Letters, Vol 9, No. 2, pp 61–64.

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Author information

Authors and Affiliations

  1. I.U.T. de Roanne, URISE (Roanne Research Group) Jean Monnet University of Saint-Etienne, 20, avenue de Paris, 42334, Roanne, France

    David William Pearson

  2. SITE, Ecole des Mines de Saint-Etienne, cours Fauriel, Saint-Etienne, France

    Mireille Batton-Hubert

  3. LGI2P, EMA Site-EERIE, Parc Scientifique G. Besse, 30319, Nimes, France

    Gérard Dray

Authors
  1. David William Pearson
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  2. Mireille Batton-Hubert
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  3. Gérard Dray
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Editor information

Editors and Affiliations

  1. Equipe Universitaire de Recherche en Informatique de Saint-Etienne (Groupe de Recherche de Roanne) Institut Universitaire de Technologie de Roanne, Université Jean Monnet, Saint-Etienne, France

    David W. Pearson

  2. Division of Mathematics School of Mathematical and Information Sciences, Coventry University, Coventry, UK

    Nigel C. Steele

  3. Institut für Informatik, Universität Innsbruck, Innsbruck, Austria

    Rudolf F. Albrecht

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© 2003 Springer-Verlag Wien

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Pearson, D.W., Batton-Hubert, M., Dray, G. (2003). Vertical Vector Fields and Neural Networks: An Application in Atmospheric Pollution Forecasting. In: Pearson, D.W., Steele, N.C., Albrecht, R.F. (eds) Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0646-4_18

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  • DOI: https://doi.org/10.1007/978-3-7091-0646-4_18

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00743-3

  • Online ISBN: 978-3-7091-0646-4

  • eBook Packages: Springer Book Archive

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