Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying High-order Interdependencies via Multivariate Extensions of
  the Mutual Information   This article introduces a model-agnostic approach to study statistical
synergy, a form of emergence in which patterns at large scales are not
traceable from lower scales. Our framework leverages various multivariate
extensions of Shannon's mutual information, and introduces the O-information as
a metric capable of characterising synergy- and redundancy-dominated systems.
We develop key analytical properties of the O-information, and study how it
relates to other metrics of high-order interactions from the statistical
mechanics and neuroscience literature. Finally, as a proof of concept, we use
the proposed framework to explore the relevance of statistical synergy in
Baroque music scores.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th