Options
Universal Gröbner Bases for Designs of Experiments
Maruri-Aguilar, Hugo
2005
Abstract
Universal Gröbner bases (UGB) are a useful tool to
obtain a set of different models identified by an experimental design.
Usually, the algorithms to obtain a UGB for the ideal of
a design are computationally intensive. Babson et al. (2003)
propose a methodology to construct UGB in polynomial time.
Their methodology constructs a list of term orders based upon
the Hilbert zonotope. We focus on the generation of such a list.
We use results on hyperplane arrangements to present a theorem
which simplifies the computation of term orders for designs in
two dimensions. Our theorem constructs directly the normal fan
of the Hilbert zonotope.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (2005)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Hugo Maruri-Aguilar, "Universal Gröbner Bases for Designs of Experiments", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 95-119.
Languages
en
File(s)