Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic Properties of Gaussian HTC-identifiable Graphs   In this paper, we explore some algebraic properties of linear structural
equation modelsthat can be represented by an HTC-identifiable graph. In
particular, we prove that all mixedgraphs are HTC-identifiable if and only if
all the regression coefficients can be recovered fromthe covariance matrix
using straightforward linear algebra operations. We also find a set
ofpolynomials that generates the ideal that encompasses all the equality
constraints of the modelon the cone of positive definite matrices. We further
prove that this set of polynomials are theminimal generators of said ideal for
a subset of HTC-identifiable graphs.

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The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc