Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A geometric perspective on regularized optimal transport   We present new geometric intuition on dynamical versions of regularized
optimal transport. We introduce two families of variational problems on
Riemannian manifolds which contain analogues of the Schr\"odinger bridge
problem and the Yasue problem. We also propose an analogue of the Hopf--Cole
transformation in the geometric setting.

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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an