Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: VC density and dp rank   We derive that dpR(n) \leq dens(n) \leq dpR(n)+1, where dens(n) is the
supremum of the VC density of all formulas in n parameters, and dpR(n) is the
maximum depth of an ICT pattern in n variables. Consequently, strong dependence
is equivalent to finite VC density.

35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn