Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method
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 mode...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.337 |
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| _version_ | 1832590138240139264 |
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| author | Alessandro Corbetta Adrian Muntean Kiamars Vafayi |
| author_facet | Alessandro Corbetta Adrian Muntean Kiamars Vafayi |
| author_sort | Alessandro Corbetta |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a73d88f1cdd549bb9e5ed087f14850b2 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a73d88f1cdd549bb9e5ed087f14850b22025-01-24T02:31:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-11-0112233735610.3934/mbe.2015.12.337Parameter estimation of social forces in pedestrian dynamics models via a probabilistic methodAlessandro Corbetta0Adrian Muntean1Kiamars Vafayi2CASA- Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB EindhovenCASA- Centre for Analysis, Scientific computing and Applications, ICMS - Institute for Complex Molecular Systems, Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB EindhovenCASA- Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB EindhovenFocusing 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.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.337bayes theoremcrowd dynamicsmodels classificationdata analysis.parameter estimation |
| spellingShingle | Alessandro Corbetta Adrian Muntean Kiamars Vafayi Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method Mathematical Biosciences and Engineering bayes theorem crowd dynamics models classification data analysis. parameter estimation |
| title | Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| title_full | Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| title_fullStr | Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| title_full_unstemmed | Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| title_short | Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| title_sort | parameter estimation of social forces in pedestrian dynamics models via a probabilistic method |
| topic | bayes theorem crowd dynamics models classification data analysis. parameter estimation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.337 |
| work_keys_str_mv | AT alessandrocorbetta parameterestimationofsocialforcesinpedestriandynamicsmodelsviaaprobabilisticmethod AT adrianmuntean parameterestimationofsocialforcesinpedestriandynamicsmodelsviaaprobabilisticmethod AT kiamarsvafayi parameterestimationofsocialforcesinpedestriandynamicsmodelsviaaprobabilisticmethod |