BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fanny Seizilles (University of Cambride) DTSTART:20240415T111500Z DTEND:20240415T120000Z DTSTAMP:20260417T003907Z UID:cam/23 DESCRIPTION:Title: The Bayesian approach to inverse Robin problems\nby Fanny Seizilles (Univ ersity of Cambride) as part of CAM seminar\n\nLecture held in MV:L14.\n\nA bstract\nWe investigate the Bayesian approach to certain elliptic boundary value problems of determining a Robin coefficient on a hidden part of the boundary from Cauchy data on the observable part. Such a nonlinear invers e problem arises naturally in the initialisation of large-scale ice sheet models. In this talk we will specifically focus on the computational routi ne to estimate posterior densities for the Robin coefficient.\n\n\nThe Bay esian approach is motivated for a prototypical Robin inverse problem by sh owing that the posterior mean converges in probability to the data-generat ing ground truth as the number of observations increases. Related to the s tability theory for inverse Robin problems\, a logarithmic convergence rat e for Sobolev-regular Robin coefficients is established\, whereas for anal ytic coefficients an algebraic rate can be attained. Our numerical results on synthetic data illustrate the convergence property in two observation settings. (Joint work with Aksel Kaastrup Rasmussen\, Ieva Kazlauskaite an d Mark Girolami).\n LOCATION:https://researchseminars.org/talk/cam/23/ END:VEVENT END:VCALENDAR