Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clique Matrices for Statistical Graph Decomposition and Parameterising
  Restricted Positive Definite Matrices   We introduce Clique Matrices as an alternative representation of undirected
graphs, being a generalisation of the incidence matrix representation. Here we
use clique matrices to decompose a graph into a set of possibly overlapping
clusters, de ned as well-connected subsets of vertices. The decomposition is
based on a statistical description which encourages clusters to be well
connected and few in number. Inference is carried out using a variational
approximation. Clique matrices also play a natural role in parameterising
positive de nite matrices under zero constraints on elements of the matrix. We
show that clique matrices can parameterise all positive de nite matrices
restricted according to a decomposable graph and form a structured Factor
Analysis approximation in the non-decomposable case.

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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph