Challenging computations of Hilbert bases of cones associated with algebraic statistics

Details Challenging computations of Hilbert bases of cones associated with algebraic statistics Challenging computations of Hilbert bases of cones associated with algebraic statistics

2010-01-23

arxiv.org/abs/1001.4145v1

Mathematics

Combinatorics

10 pages

Scientific paper

In this paper we present two independent computational proofs that the monoid derived from $5\times 5\times 3$ contingency tables is normal, completing the classification by Hibi and Ohsugi. We show that Vlach's vector disproving normality for the monoid derived from $6\times 4\times 3$ contingency tables is the unique minimal such vector up to symmetry. Finally, we compute the full Hilbert basis of the cone associated with the non-normal monoid of the semi-graphoid for $|N|=5$. The computations are based on extensions of the packages LattE-4ti2 and Normaliz.

Affiliated with

Also associated with

No associations

Rating

Challenging computations of Hilbert bases of cones associated with algebraic statistics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Challenging computations of Hilbert bases of cones associated with algebraic statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Challenging computations of Hilbert bases of cones associated with algebraic statistics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514942