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Talk

Geometry of Optimal Design for Generalized Linear Models

  • Frank Röttger (MPI MiS, Leipzig)
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Abstract

Design of experiments (DoE) for generalized linear models (GLM) is a recurring topic for practitioners and statisticians. We introduce basic notions and tools from GLM and DoE and see that there exists a fruitful connection between DoE and algebraic structures, namely varieties and semi-algebraic sets. This happens because the optimality conditions of experimental designs are often given as algebraic constraints on the parameters of the GLM. We exemplify this approach for the Bradley-Terry paired comparison model, where we compute the exact solutions for the optimal designs for a small example.

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seminar
3/17/20 2/21/22

Nonlinear Algebra Seminar Online (NASO)

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail