Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of Entailed Rank Constraints in Partially Non-Linear and
  Cyclic Models   The Trek Separation Theorem (Sullivant et al. 2010) states necessary and
sufficient conditions for a linear directed acyclic graphical model to entail
for all possible values of its linear coefficients that the rank of various
sub-matrices of the covariance matrix is less than or equal to n, for any given
n. In this paper, I extend the Trek Separation Theorem in two ways: I prove
that the same necessary and sufficient conditions apply even when the
generating model is partially non-linear and contains some cycles. This
justifies application of constraint-based causal search algorithms such as the
BuildPureClusters algorithm (Silva et al. 2006) for discovering the causal
structure of latent variable models to data generated by a wider class of
causal models that may contain non-linear and cyclic relations among the latent
variables.

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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat