BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marie-Therese Wolfram (Warwick University\, UK) DTSTART:20200420T130000Z DTEND:20200420T134500Z DTSTAMP:20260423T024445Z UID:OWMADS/2 DESCRIPTION:Title: I nverse Optimal Transport\nby Marie-Therese Wolfram (Warwick University \, UK) as part of One World seminar: Mathematical Methods for Arbitrary Da ta Sources (MADS)\n\n\nAbstract\nDiscrete optimal transportation problems arise in various contexts in engineering\, the sciences and the social sci ences. Examples include the marriage market in economics or international migration flows in demographics. Often the underlying cost criterion is un known\, or only partly known\, and the observed optimal solutions are corr upted by noise. In this talk we discuss a systematic approach to infer unk nown costs from noisy observations of optimal transportation plans. The pr oposed methodologies are developed within the Bayesian framework for inver se problems and require only the ability to solve the forward optimal tran sport problem\, which is a linear program\, and to generate random numbers . We illustrate our approach using the example of international migration flows. Here reported migration flow data captures (noisily) the number of individuals moving from one country to another in a given period of time. It can be interpreted as a noisy observation of an optimal transportation map\, with costs related to the geographical position of countries. We use a graph-based formulation of the problem\, with countries at the nodes of graphs and non-zero weighted adjacencies only on edges between countries which share a border. We use the proposed algorithm to estimate the weight s\, which represent cost of transition\, and to quantify uncertainty in th ese weights.\n LOCATION:https://researchseminars.org/talk/OWMADS/2/ END:VEVENT END:VCALENDAR