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Dear everyone Please note that this seminar will not go ahead tomorrow. It will be re-scheduled for a later date. With best wishes Donna -----Original Message----- From: STEM-MS-Admin <[log in to unmask]> Sent: 11 March 2020 14:53 To: Stem-Ms-All-List <[log in to unmask]>; Stem-Ms-Ft-Research-Student-List <[log in to unmask]>; Stem-Ms-Pt-Research-Student-List <[log in to unmask]>; [log in to unmask] Subject: Applied Mathematics Colloquium on Tuesday, March 17, 2020 at 14:00 in Room 306 Alan Turing Dear everyone Please find attached poster and information with regard to Tuesday's seminar. Applied Mathematics Colloquium on Tuesday, March 17, 2020 at 14:00 in Room 306 Alan Turing: Speaker: Susana Gomes (University of Warwick) Title: Parameter estimation for pedestrian dynamics models Abstract: In this talk we present a framework for estimating parameters in macroscopic models for crowd dynamics using data from individual trajectories. We consider a model for the unidirectional flow of pedestrians in a corridor which consists of a coupling between a density dependent stochastic differential equation and a nonlinear partial differential equation for the density. In the stochastic differential equation for the trajectories, the velocity of a pedestrian decreases with the density according to the fundamental diagram. Although there is a general agreement on the basic shape of this dependence, its parametrization depends strongly on the measurement and averaging techniques used as well as the experimental setup considered. We will discuss identifiability of the parameters appearing in the fundamental diagram, introduce optimisation and Bayesian methods to perform the identification, and analyse the performance of the proposed methodology in various realistic situations. Finally, we discuss possible generalisations, including the effect of the form of the fundamental diagram and the use of experimental data. Best wishes Donna -- The Open University is incorporated by Royal Charter (RC 000391), an exempt charity in England & Wales and a charity registered in Scotland (SC 038302). The Open University is authorised and regulated by the Financial Conduct Authority in relation to its secondary activity of credit broking. ######################################################################## To unsubscribe from the OU-MATHS-EVENTS list, click the following link: https://www.jiscmail.ac.uk/cgi-bin/webadmin?SUBED1=OU-MATHS-EVENTS&A=1