Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model-Preserving Sensitivity Analysis for Families of Gaussian
  Distributions   The accuracy of probability distributions inferred using machine-learning
algorithms heavily depends on data availability and quality. In practical
applications it is therefore fundamental to investigate the robustness of a
statistical model to misspecification of some of its underlying probabilities.
In the context of graphical models, investigations of robustness fall under the
notion of sensitivity analyses. These analyses consist in varying some of the
model's probabilities or parameters and then assessing how far apart the
original and the varied distributions are. However, for Gaussian graphical
models, such variations usually make the original graph an incoherent
representation of the model's conditional independence structure. Here we
develop an approach to sensitivity analysis which guarantees the original graph
remains valid after any probability variation and we quantify the effect of
such variations using different measures. To achieve this we take advantage of
algebraic techniques to both concisely represent conditional independence and
to provide a straightforward way of checking the validity of such
relationships. Our methods are demonstrated to be robust and comparable to
standard ones, which break the conditional independence structure of the model,
using an artificial example and a medical real-world application.

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The categories of this paper are: math
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat