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SUMMARY:Multiscale inverse problem\, from Schroedinger to Newton to Boltzm
 ann - Qin Li (University of Wisconsin-Madison)
DTSTART:20220524T090000Z
DTEND:20220524T100000Z
UID:TALK173591@talks.cam.ac.uk
DESCRIPTION:Inverse problems are ubiquitous. People probe the media with s
 ources and measure the outputs. At the scale of quantum\, classical\, stat
 istical and fluid\, these are inverse Schroedinger\, inverse Newton&rsquo\
 ;s second law\, inverse Boltzmann problem\, and inverse diffusion respecti
 vely. The universe\, however\, should have a universal mathematical descri
 ption\, as Hilbert proposed in 1900. In this talk\, we initiate a line of 
 research that connects inverse Schroedinger\, to inverse Newton\, to inver
 se Boltzmann\, and finally to inverse diffusion. We will argue these are t
 he same problem merely represented at different scales. The connections op
 en the door to developing fast solvers for solving ill-posed inverse probl
 ems.
LOCATION:Seminar Room 1\, Newton Institute
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