Tapio Helin(RICAM): Discretization and data segmentation in Bayesian inverse problems

Dienstag, 29.06.2010 10:00 im Raum 229/230
Mathematik und Informatik

A crucial part of solving a statistical inverse problem with Bayesian approach is constructing prior probability distributions that depict our a priori beliefs. In this talk we introduce novel ideas how to construct prior distributions that prefer sharp edges. This is achieved by showing that estimating posterior distribution produces Mumford-Shah -type segmentations. The key aspects to this research are to show that the limiting infinite-dimensional probability distributions are well-defined and to prove so-called discretization invariance phenomenon, i.e. nothing bad happens when discretization is refined. This talk is based on the doctoral thesis work of the author.

Angelegt am Freitag, 25.06.2010 12:13 von mbenn_01
Geändert am Freitag, 25.06.2010 13:17 von mbenn_01
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