Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Central Limit Theorem for $L_p$ transportation cost with applications
  to Fairness Assessment in Machine Learning   We provide a Central Limit Theorem for the Monge-Kantorovich distance between
two empirical distributions with size $n$ and $m$, $W_p(P_n,Q_m)$ for $p>1$ for
observations on the real line, using a minimal amount of assumptions. We
provide an estimate of the asymptotic variance which enables to build a two
sample test to assess the similarity between two distributions. This test is
then used to provide a new criterion to assess the notion of fairness of a
classification algorithm.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci