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.
Grand-Canonical Optimal Transport
Simone Di Marino;
2025-01-01
Abstract
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.File in questo prodotto:
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