Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The semi-algebraic geometry of saturated optimal designs for the
  Bradley-Terry model   Optimal design theory for nonlinear regression studies local optimality on a
given design space. We identify designs for the Bradley--Terry paired
comparison model with small undirected graphs and prove that every saturated
D-optimal design is represented by a path. We discuss the case of four
alternatives in detail and derive explicit polynomial inequality descriptions
for optimality regions in parameter space. Using these regions, for each point
in parameter space we can prescribe a D-optimal design.

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org