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Sequential Monte Carlo in Bayesian Assessment of Contaminant Source Localization Based on the Sensors Concentration Measurements

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Parallel Processing and Applied Mathematics (PPAM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8385))

Abstract

Accidental atmospheric releases of hazardous material pose great risks to human health and the environment. In this context it is valuable to develop the emergency action support system, which can quickly identify probable location and characteristics of the release source based on the measurement of dangerous substance concentration by the sensors network. In this context Bayesian approach occurs as a powerful tool being able to combine observed data along with prior knowledge to gain a current understanding of unknown model parameters.

We have applied the methodology combining Bayesian inference with Sequential Monte Carlo (SMC) to the problem of the atmospheric contaminant source localization. The algorithm input data are the on-line arriving concentrations of given substance registered by the distributed sensor’s network.

We have proposed the different version of the Hybrid SMC along with Markov Chain Monte Carlo (MCMC) algorithms and examined its effectiveness to estimate the probabilistic distributions of atmospheric release parameters. The proposed algorithms scan 5-dimensional parameters’ space searching for the contaminant source coordinates, release strength and atmospheric transport dispersion coefficients.

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References

  1. Watzenig, D.: Bayesian inference for inverse problems - statistical inversion. Elektrotech. Informationstechnik 124(7–8), 240–247 (2007)

    Article  Google Scholar 

  2. Senocak, I., Hengartner, N.W., Short, M.B., Daniel, W.B.: Stochastic event reconstruction of atmospheric contaminant dispersion using Bayesian inference. Atmos. Environ. 42(33), 7718–7727 (2008)

    Article  Google Scholar 

  3. Borysiewicz, M., Wawrzynczak, A., Kopka, P.: Stochastic algorithm for estimation of the model’s unknown parameters via Bayesian inference. In: Proceedings of the Federated Conference on Computer Science and Information Systems, pp. 501–508. IEEE Press (2012)

    Google Scholar 

  4. Borysiewicz, M., Wawrzynczak, A., Kopka, P.: Bayesian-based methods for the estimation of the unknown model’s parameters in the case of the localization of the atmospheric contamination source. Found. Comput. Decis. Sci. 37(4), 253–270 (2012)

    Google Scholar 

  5. Sykes, R.I. et al.: PC-SCIPUFF Version 1.2PD Technical Documentation. ARAP Report No. 718. Titan Corporation (1998)

    Google Scholar 

  6. Turner, D.B.: Workbook of Atmospheric Dispersion Estimates. Lewis Publishers, USA (1994)

    Google Scholar 

  7. Panofsky, H.A., Dutton, J.A.: Atmospheric Turbulence. John Wiley, New York (1984)

    Google Scholar 

  8. Gelman, A., Carlin, J., Stern, H., Rubin, D.: Bayesian Data Analysis. Chapman & Hall/CRC, Boca Raton (2003)

    Google Scholar 

  9. Gilks, W., Richardson, S., Spiegelhalter, D.: Markov Chain Monte Carlo in Practice. Chapman & Hall/CRC, Boca Raton (1996)

    Google Scholar 

  10. Doucet, A., de Freitas, J.F.G., Gordon, N.J.: Sequential Monte Carlo Methods in Practice. Springer, New York (2001)

    Book  MATH  Google Scholar 

  11. Liu, J.S.: Monte Carlo Strategies in Scientific Computing. Springer, New York (2001)

    MATH  Google Scholar 

  12. Gordon, N.J., Salmond, D.J., Smith, A.F.M.: Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEEE Proc. Radar Signal Process. 140(2), 107–113 (1993)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Welcome Programme of the Foundation for Polish Science operated within the European Union Innovative Economy Operational Programme 2007-2013 and by the EU and MSHE grant nr POIG.02.03.00-00-013/09. The work was supported by the project VI.B.08 under the NCBiR national programme: “Improving labour and safety conditions: 2nd stage".

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Correspondence to Anna Wawrzynczak .

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Wawrzynczak, A., Kopka, P., Borysiewicz, M. (2014). Sequential Monte Carlo in Bayesian Assessment of Contaminant Source Localization Based on the Sensors Concentration Measurements. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_38

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  • DOI: https://doi.org/10.1007/978-3-642-55195-6_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55194-9

  • Online ISBN: 978-3-642-55195-6

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