Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphical Modeling of Spatial Health Data   The literature on Gaussian graphical models (GGMs) contains two equally rich
and equally significant domains of research efforts and interests. The first
research domain relates to the problem of graph determination. That is, the
underlying graph is unknown and needs to be inferred from the data. The second
research domain dominates the applications in spatial epidemiology. In this
context GGMs are typically referred to as Gaussian Markov random fields
(GMRFs). Here the underlying graph is assumed to be known: the vertices
correspond to geographical areas, while the edges are associated with areas
that are considered to be neighbors of each other (e.g., if they share a
border). We introduce multi-way Gaussian graphical models that unify the
statistical approaches to inference for spatiotemporal epidemiology with the
literature on general GGMs. The novelty of the proposed work consists of the
addition of the G-Wishart distribution to the substantial collection of
statistical tools used to model multivariate areal data. As opposed to fixed
graphs that describe geography, there is an inherent uncertainty related to
graph determination across the other dimensions of the data. Our new class of
methods for spatial epidemiology allow the simultaneous use of GGMs to
represent known spatial dependencies and to determine unknown dependencies in
the other dimensions of the data. KEYWORDS: Gaussian graphical models, Gaussian
Markov random fields, spatiotemporal multivariate models

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The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
2
The categories of this paper are: math
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph