On the feasibility of semi-algebraic sets in Poisson regression
  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. 
Thomas Kahle
math.ST math.OC stat.TH