Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information Decomposition on Structured Space   We build information geometry for a partially ordered set of variables and
define the orthogonal decomposition of information theoretic quantities. The
natural connection between information geometry and order theory leads to
efficient decomposition algorithms. This generalization of Amari's seminal work
on hierarchical decomposition of probability distributions on event
combinations enables us to analyze high-order statistical interactions arising
in neuroscience, biology, and machine learning.

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The categories of this paper are: q-bio
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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph