Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The empirical cost of optimal incomplete transportation   We consider the problem of optimal incomplete transportation between the
empirical measure on an i.i.d. uniform sample on the d-dimensional unit cube
$[0,1]^d$ and the true measure. This is a family of problems lying in between
classical optimal transportation and nearest neighbor problems. We show that
the empirical cost of optimal incomplete transportation vanishes at rate
$O_P(n^{-1/d})$, where n denotes the sample size. In dimension $d\geq3$ the
rate is the same as in classical optimal transportation, but in low dimension
it is (much) higher than the classical rate.

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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int