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Grand-Canonical Optimal Transport

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arxiv 2201.06859 v4 pith:VA7OSF3Y submitted 2022-01-18 math.OC cond-mat.stat-mechmath-phmath.MP

Grand-Canonical Optimal Transport

Simone Di Marino , Mathieu Lewin , Luca Nenna This is my paper
classification math.OC cond-mat.stat-mechmath-phmath.MP
keywords combinationlinearmarginalsoptimaltransportcertainconsistscorresponding
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We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals $N$ and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible $N$'s, while fixing a certain linear combination of the corresponding marginals.

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