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SUMMARY:Olga Mula (TU Eindhoven)
DTSTART:20230922T130000Z
DTEND:20230922T140000Z
DTSTAMP:20260423T003300Z
UID:MPML/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPML/111/">O
 ptimal State and Parameter Estimation Algorithms and Applications to Biome
 dical Problems</a>\nby Olga Mula (TU Eindhoven) as part of Mathematics\, P
 hysics and Machine Learning (IST\, Lisbon)\n\n\nAbstract\nIn this talk\, I
  will present an overview of recent works aiming at solving inverse proble
 ms (state and parameter estimation) by combining optimally measurement obs
 ervations and parametrized PDE models. After defining a notion of optimal 
 performance in terms of the smallest possible reconstruction error that an
 y reconstruction algorithm can achieve\, I will present practical numerica
 l algorithms based on nonlinear reduced models for which we can prove that
  they can deliver a performance close to optimal. The proposed concepts ma
 y be viewed as exploring alternatives to Bayesian inversion in favor of mo
 re deterministic notions of accuracy quantification. I will illustrate the
  performance of the approach on simple benchmark examples and we will also
  discuss applications of the methodology to biomedical problems which are 
 challenging due to shape variability.\n\nhttps://arxiv.org/pdf/2203.07769.
 pdf\nhttps://arxiv.org/pdf/2009.02687.pdf\n
LOCATION:https://researchseminars.org/talk/MPML/111/
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