On the Feasibility of Semi-algebraic Sets in Poisson Regression

Conference paper

DOI: 10.1007/978-3-319-42432-3_18

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9725)
Cite this paper as:
Kahle T. (2016) On the Feasibility of Semi-algebraic Sets in Poisson Regression. In: Greuel GM., Koch T., Paule P., Sommese A. (eds) Mathematical Software – ICMS 2016. ICMS 2016. Lecture Notes in Computer Science, vol 9725. Springer, Cham

Abstract

Designing experiments for generalized linear models is difficult because optimal designs depend on unknown parameters. The local optimality approach is to study the regions in parameter space where a given design is optimal. In many situations these regions are semi-algebraic. We investigate regions of optimality using computer tools such as yalmip, qepcad, and Mathematica.

Keywords

Algebraic statistics Optimal experimental design Poisson regression Semi-algebraic sets 

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Otto-von-Guericke Universität MagdeburgMagdeburgGermany

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