FB 6 Mathematik/Informatik

Institut für Mathematik

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SS 2017

24.05.2017 um 17:15 Uhr in Raum 69/125

Prof. Dr. Thomas Kahle (Magdeburg)

The Semi-Algebraic Geometry of Poisson Regression

Designing experiments for non-linear regression is hard because the optimal experiment to gain information about the unknown parameters depends on the unknown parameters. We pursue a geometric approach to this chicken and egg problem: In parameter space, we describe regions of optimality of certain experimental designs. It turns out that these regions are often semi-algebraic, that is, described by polynomial inequalties. Therefore the methods from computational logic and real algebraic geometry can be applied.