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Modelling the HIV-AIDS Cuban Epidemics with Hopfield Neural Networks

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Artificial Neural Nets Problem Solving Methods (IWANN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2687))

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Abstract

In this work, Hopfield neural networks are applied to estimation of parameters in a dynamical model of Cuban HIV-AIDS epidemics. The time-varying weights are derived, and its formulation is adapted to the discrete case. The method is tested on a data sequence obtained from numerical solution of the model. Simulation results show that the proposed technique quickly reduces the output prediction error, and it adapts well to parameter changes. Results concerning estimation error are poor, and some directions to deal with this issue are proposed.

This work has been partially supported by the Spanish Ministerio de Ciencia y Tecnología (MCYT), Project No. TIC2001-1758. Thanks are due to Hector de Arazoza for providing the model and Liuva Pedroso for generating test data.

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References

  1. Ljung, L..: System Identification. Theory for the User. Prentice Hall (1999)

    Google Scholar 

  2. Unbehauen, H.: Some new trends in identification and modeling of nonlinear dynamical systems. Applied Mathematics and Computation 78 (1996) 279–297

    Article  MathSciNet  MATH  Google Scholar 

  3. Slotine, J.J., Li, W.: Applied Nonlinear Control. Prentice Hall (1991)

    Google Scholar 

  4. Tank, D., Hopfield, J.: ‘Neural’ computation of decisions in optimization problems. Biological Cybernetics 52 (1985) 141–152

    MathSciNet  MATH  Google Scholar 

  5. Atencia, M.A., Joya, G.: Gray box identification with Hopfield neural networks. Revista Investigacion Operacional (accepted for publication) (2003)

    Google Scholar 

  6. Bailey, N.T.: The mathematical theory of infectious diseases and its applications. Ch. Griffin and Company LTD (1975)

    Google Scholar 

  7. de Arazoza, H., Lounes, R.: A non-linear model for a sexually transmitted disease with contact tracing. Mathematical Medicine and Biology: A Journal of the IMA 19 (2002) 221–234

    Article  MATH  Google Scholar 

  8. Pedroso-Rodríguez, L.M.: A genetic algorithm based solution for the parameter estimation in models defined by means of ordinary differential equations, Diploma Thesis (original version in Spanish) (2002)

    Google Scholar 

  9. Hopfield, J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA 79 (1982) 2554–2558

    Google Scholar 

  10. Hopfield, J.: Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81 (1984) 3088–3092

    Google Scholar 

  11. Abe, S.: Theories on the Hopfield neural networks. In: Proc. IEE International Joint Conference on Neural Networks. Volume I. (1989) 557–564

    Google Scholar 

  12. Joya, G., Atencia, M.A., Sandoval, F.: Hopfield neural networks for optimization: Study of the different dynamics. Neurocomputing 43 (2002) 219–237

    Article  MATH  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Atencia, M., Joya, G., Sandoval, F. (2003). Modelling the HIV-AIDS Cuban Epidemics with Hopfield Neural Networks. In: Mira, J., Álvarez, J.R. (eds) Artificial Neural Nets Problem Solving Methods. IWANN 2003. Lecture Notes in Computer Science, vol 2687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44869-1_57

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  • DOI: https://doi.org/10.1007/3-540-44869-1_57

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40211-4

  • Online ISBN: 978-3-540-44869-3

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