Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Signed and Unsigned Partial Information Decompositions of Continuous
  Network Interactions   We investigate the partial information decomposition (PID) framework as a
tool for edge nomination. We consider both the $I_{\cap}^{\text{min}}$ and
$I_{\cap}^{\text{PM}}$ PIDs, from arXiv:1004.2515 and arXiv:1801.09010
respectively, and we both numerically and analytically investigate the utility
of these frameworks for discovering significant edge interactions. In the
course of our work, we extend both the $I_{\cap}^{\text{min}}$ and
$I_{\cap}^{\text{PM}}$ PIDs to a general class of continuous trivariate
systems. Moreover, we examine how each PID apportions information into
redundant, synergistic, and unique information atoms within the
source-bivariate PID framework. Both our simulation experiments and analytic
inquiry indicate that the atoms of the $I_{\cap}^{\text{PM}}$ PID have a
non-specific sensitivity to high predictor-target mutual information,
regardless of whether or not the predictors are truly interacting. By contrast,
the $I_{\cap}^{\text{min}}$ PID is quite specific, although simulations suggest
that it lacks sensitivity.

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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th