Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method

  • Received: 01 April 2014 Accepted: 29 June 2018 Published: 01 December 2014
  • MSC : Primary: 35R30, 91D10; Secondary: 62F15, 91C99.

  • Focusing on a specific crowd dynamics situation, including real lifeexperiments and measurements, our paper targets a twofold aim: (1) wepresent a Bayesian probabilistic method to estimate the value and theuncertainty (in the form of a probability density function) ofparameters in crowd dynamic models from the experimental data; and (2)we introduce a fitness measure for the models to classify acouple of model structures (forces) according to their fitness to theexperimental data, preparing the stage for a more generalmodel-selection and validation strategy inspired by probabilistic dataanalysis. Finally, we review the essential aspects of our experimentalsetup and measurement technique.

    Citation: Alessandro Corbetta, Adrian Muntean, Kiamars Vafayi. Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method[J]. Mathematical Biosciences and Engineering, 2015, 12(2): 337-356. doi: 10.3934/mbe.2015.12.337

    Related Papers:

  • Focusing on a specific crowd dynamics situation, including real lifeexperiments and measurements, our paper targets a twofold aim: (1) wepresent a Bayesian probabilistic method to estimate the value and theuncertainty (in the form of a probability density function) ofparameters in crowd dynamic models from the experimental data; and (2)we introduce a fitness measure for the models to classify acouple of model structures (forces) according to their fitness to theexperimental data, preparing the stage for a more generalmodel-selection and validation strategy inspired by probabilistic dataanalysis. Finally, we review the essential aspects of our experimentalsetup and measurement technique.


    加载中
    [1] Center for Research in Scientific Computation Tech Rep, CRSC-TR12-21, North Carolina State University, Raleigh, NC.
    [2] Mathematical Models and Methods in Applied Sciences, 22 (2012), 1230004, 29 pp.
    [3] Neurocomputing, 100 (2013), 127-133.
    [4] in Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014 (eds. A. Cunha, E. Caetano, P. Ribeiro and G. Müller), 2014, 937-944.
    [5] Transportation Research Procedia, 2 (2014), 96-104; The Conference on Pedestrian and Evacuation Dynamics 2014 (PED 2014), Delft, The Netherlands, October 2014, 22-24.
    [6] in preparation, 2014.
    [7] American Journal of Physics, 14 (1946), 1-13.
    [8] Algebra of Probable Inference, Johns Hopkins University Press, 1961.
    [9] Grundlehren der mathematischen Wissenschaften, Springer, Berlin, New York, 2000.
    [10] Vol. 27, Springer-Verlag, New York, 1978.
    [11] Journal of Statistical Physics, 152 (2013), 1033-1068.
    [12] John Wiley & Sons, 2012.
    [13] Transportation Research Part C: Emerging Technologies, 37 (2013), 193-209.
    [14] Comptes Rendus Mathematique, 352 (2014), 51-54.
    [15] Modelling and Optimisation of Flows on Networks, Lecture Notes in Mathematics, 2062 (2013), 271-302.
    [16] Physical Review E, 51 (1995), pp. 4282.
    [17] Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 368 (2010), 4497-4517.
    [18] Computer Animation and Virtual Worlds, 24 (2013), 285-295.
    [19] Systems Science and Cybernetics, IEEE Transactions on, 4 (1968), 227-241.
    [20] Foundations of Physics, 3 (1973), 477-492.
    [21] Cambridge University Press, 2003.
    [22] Science, 220 (1983), 671-680.
    [23] Physica A: Statistical Mechanics and its Applications, 388 (2009), 2717-2726.
    [24] Journal of Chemical Physics, 21 (1953), 1087-1092.
    [25] Redmond, WA, USA.
    [26] Proceedings of the National Academy of Sciences, 108 (2011), 6884-6888.
    [27] The European Physical Journal Special Topics, 202 (2012), 1-162.
    [28] in Pedestrian and Evacuation Dynamics 2012, Springer International Publishing, 2014, 657-672.
    [29] Elsevier, 2010.
    [30] Transportation Research Part C: Emerging Technologies, 48 (2014), 212-228.
    [31] Oxford University Press, 1996.
    [32] Journal of Microscopy, 190 (1998), 28-36.
    [33] 2012.
    [34] Advances in Complex Systems, 15 (2012), 1250029, 22 pp.
    [35] Mitteilungen-Institut für Geodäsie und Photogrammetrie an der Eidgenossischen Technischen Hochschule Zürich, 2003.
  • Reader Comments
  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(2402) PDF downloads(601) Cited by(42)

Article outline

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog