Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unraveling the graph structure of tabular datasets through Bayesian and
  spectral analysis   In the big-data age tabular datasets are being generated and analyzed
everywhere. As a consequence, finding and understanding the relationships
between the features of these datasets are of great relevance. Here, to
encompass these relationships we propose a methodology that maps an entire
tabular dataset or just an observation into a weighted directed graph using the
Shapley additive explanations technique. With this graph of relationships, we
show that the inference of the hierarchical modular structure obtained by the
nested stochastic block model (nSBM) as well as the study of the spectral space
of the magnetic Laplacian can help us identify the classes of features and
unravel non-trivial relationships. As a case study, we analyzed a socioeconomic
survey conducted with students in Brazil: the PeNSE survey. The spectral
embedding of the columns suggested that questions related to physical
activities form a separate group. The application of the nSBM approach,
corroborated with that and allowed complementary findings about the modular
structure: some groups of questions showed a high adherence with the divisions
qualitatively defined by the designers of the survey. However, questions from
the class \textit{Safety} were partly grouped by our method in the class
\textit{Drugs}. Surprisingly, by inspecting these questions, we observed that
they were related to both these topics, suggesting an alternative
interpretation of these questions. Our method can provide guidance for tabular
data analysis as well as the design of future surveys.

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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con