%0 Journal Article
%T Toric ideals with linear components: an algebraic interpretation of clustering the cells of a contingency table
%A Enrico Carlini
%A Fabio Rapallo
%J Mathematics
%D 2013
%I arXiv
%X In this paper we show that the agglomeration of rows or columns of a contingency table with a hierarchical clustering algorithm yields statistical models defined through toric ideals. In particular, starting from the classical independence model, the agglomeration process adds a linear part to the toric ideal generated by the $2 \times 2$ minors.
%U http://arxiv.org/abs/1309.7622v1