Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Submodularity of a Set Label Disagreement Function   A set label disagreement function is defined over the number of variables
that deviates from the dominant label. The dominant label is the value assumed
by the largest number of variables within a set of binary variables. The
submodularity of a certain family of set label disagreement function is
discussed in this manuscript. Such disagreement function could be utilized as a
cost function in combinatorial optimization approaches for problems defined
over hypergraphs.

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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th