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Annals of Computer Science and Information Systems, Volume 11

Proceedings of the 2017 Federated Conference on Computer Science and Information Systems

Catching clouds: Simultaneous optimization of the parameters of biological agent plumes using Dirichlet processes to best estimate infection source location

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DOI: http://dx.doi.org/10.15439/2017F264

Citation: Proceedings of the 2017 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 11, pages 481484 ()

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Abstract. We describe a stochastic method using Dirichlet processes to derive mixture models that allow the numerical description of outbreaks of diseases with multiple sources. We show that existing disease models may be extended using this method and how this may be used in a practical context to support the simulated response to a mass casualty public health emergency.

References

  1. R. L. Prentice and R. Pyke, “Logistic disease incidence models and case-control studies,” Biometrika, pp. 403–411, 1979.
  2. N. T. Bailey, ed., The biomathematics of malaria. The Biomathematics of Diseases: 1. 1982.
  3. J. Legrand, J. R. Egan, I. M. Hall, S. Cauchemez, S. Leach, and N. M. Ferguson, “Estimating the Location and Spatial Extent of a Covert Anthrax Release,” PLoS Comput Biol, vol. 5, p. e1000356, Apr. 2009.
  4. A. V. Fiacco and G. P. McCormick, Nonlinear programming: sequential unconstrained minimization techniques. SIAM, 1990.
  5. L. M. Rios and N. V. Sahinidis, “Derivative-free optimization: a review of algorithms and comparison of software implementations,” Journal of Global Optimization, vol. 56, pp. 1247–1293, July 2013.
  6. M. Powell, “A Survey of Numerical Methods for Unconstrained Optimization,” SIAM Review, vol. 12, pp. 79–97, Jan. 1970.
  7. R. Fletcher, Practical methods of optimization. John Wiley & Sons, 2013.
  8. E. W. Forgy, “Cluster analysis of multivariate data: efficiency versus interpretability models,” Biometrics, vol. 61, no. 3, pp. 768–769, 1965.
  9. J. MacQueen, “Some methods for classification and analysis of multi-variate observations,” The Regents of the University of California, 1967.
  10. K. Pearson, “LIII. On lines and planes of closest fit to systems of points in space,” Philosophical Magazine Series 6, vol. 2, pp. 559–572, Nov. 1901.
  11. H. Hotelling, “Analysis of a complex of statistical variables into principal components.,” Journal of educational psychology, vol. 24, no. 6, p. 417, 1933.
  12. H. Hotelling, “Relations between two sets of variates,” Biometrika, vol. 28, no. 3/4, pp. 321–377, 1936.
  13. J. A. Hartigan and J. A. Hartigan, Clustering algorithms, vol. 209. Wiley New York, 1975.
  14. P. K. Newby and K. L. Tucker, “Empirically derived eating patterns using factor or cluster analysis: a review,” Nutrition reviews, vol. 62, no. 5, pp. 177–203, 2004.
  15. W. C. Moore, D. A. Meyers, S. E. Wenzel, W. G. Teague, H. Li, X. Li, R. D’Agostino Jr, M. Castro, D. Curran-Everett, A. M. Fitzpatrick, and others, “Identification of asthma phenotypes using cluster analysis in the Severe Asthma Research Program,” American journal of respiratory and critical care medicine, vol. 181, no. 4, pp. 315–323, 2010.
  16. A. J. Graham, P. M. Atkinson, and F. M. Danson, “Spatial analysis for epidemiology,” Acta tropica, vol. 91, no. 3, pp. 219–225, 2004.
  17. J. A. Baecke, J. Burema, and J. E. Frijters, “A short questionnaire for the measurement of habitual physical activity in epidemiological studies.,” The American journal of clinical nutrition, vol. 36, no. 5, pp. 936–942, 1982.
  18. R. M. Neal, “Markov chain sampling methods for Dirichlet process mixture models,” Journal of computational and graphical statistics, vol. 9, no. 2, pp. 249–265, 2000.
  19. S. Kotz, N. Balakrishnan, and N. L. Johnson, Continuous multivariate distributions, models and applications. John Wiley & Sons, 2004.
  20. D. J. Aldous, “Exchangeability and related topics,” in École d’Été de Probabilités de Saint-Flour XIIIŮ1983, pp. 1–198, Springer, 1985.
  21. N. Dobrinkova, A. De Gaetano, T. J. R. Finnie, M. Heckel, A. Kostaridis, E. Nectarios, A. Olunczek, C. Psaroudakis, G. Seynaeve, S. Tsekeridou, and D. Vergeti, “Crisis management and disaster response tools in IMPRESS project,” in CMDR COE Proceeding 2016, (Sofia, Bulgaria), pp. 103–124, Sept. 2016.