89 citations · 107 across the 21 of their papers we have counts for
Showing 2004 · math.COShow all
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math.CO2004
Compressed polytopes and statistical disclosure limitation
Seth Sullivant
We provide a characterization of the compressed lattice polytopes in terms of their facet defining inequalities and we show that every compressed lattice polytope is affinely isomo…
math.CO2004
Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models
Nicholas Eriksson, Stephen E. Fienberg, Alessandro Rinaldo +1
We provide a polyhedral description of the conditions for the existence of the maximum likelihood estimate (MLE) for a hierarchical log-linear model. The MLE exists if and only if…
math.CO2004
A finiteness theorem for Markov bases of hierarchical models
Serkan Hosten, Seth Sullivant
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimens…