Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyhedral conditions for the nonexistence of the MLE for hierarchical
  log-linear models   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 the observed margins lie in the relative interior of
the marginal cone. Using this description, we give an algorithm for determining
if the MLE exists. If the tree width is bounded, the algorithm runs in
polynomial time. We also perform a computational study of the case of three
random variables under the no three-factor effect model.

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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph