Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating large Ising models with Markov structure via simple linear
  relations   We extend the notion of a tree graph to sequences of prime graphs which are
cycles and edges and name these non-chordal graphs hollow trees. These
structures are especially attractive for palindromic Ising models, which mimic
a symmetry of joint Gaussian distributions. We show that for an Ising model all
defining independences are captured by zero partial correlations and
conditional correlations agree with partial correlations within each prime
graph if and only if the model is palindromic and has a hollow-tree structure.
This implies that the strength of dependences can be assessed locally. We use
the results to find a well-fitting general Ising model with hollow-tree
structure for a set of longitudinal data.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ