Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothness of marginal log-linear parameterizations   We provide results demonstrating the smoothness of some marginal log-linear
parameterizations for distributions on multi-way contingency tables. First we
give an analytical relationship between log-linear parameters defined within
different margins, and use this to prove that some parameterizations are
equivalent to ones already known to be smooth. Second we construct an iterative
method for recovering joint probability distributions from marginal log-linear
pieces, and prove its correctness in particular cases. Finally we use Markov
chain theory to prove that certain cyclic conditional parameterizations are
also smooth. These results are applied to show that certain conditional
independence models are curved exponential families.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph