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On the Feasibility of Semi-algebraic Sets in Poisson Regression

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Mathematical Software – ICMS 2016 (ICMS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9725))

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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.

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Acknowledgement

The author is supported by the Research Focus Dynamical Systems (CDS) of the state Saxony-Anhalt.

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Authors and Affiliations

  1. Otto-von-Guericke Universität Magdeburg, Magdeburg, Germany

    Thomas Kahle

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  1. Thomas Kahle
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Correspondence to Thomas Kahle .

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Editors and Affiliations

  1. Universität Kaiserslautern , Kaiserslautern, Germany

    Gert-Martin Greuel

  2. Zuse Institute Berlin , Berlin, Germany

    Thorsten Koch

  3. Johannes Kepler University Linz , Hagenberg, Austria

    Peter Paule

  4. University of Notre Dame , Notre Dame, Indiana, USA

    Andrew Sommese

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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. https://doi.org/10.1007/978-3-319-42432-3_18

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  • DOI: https://doi.org/10.1007/978-3-319-42432-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42431-6

  • Online ISBN: 978-3-319-42432-3

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