A continuous version of the moment-SOS hierarchy for Gromov-Wasserstein distance is introduced, with proof of convergence, pseudo-metric structure, and sample-complexity bounds.
Gromov- W asserstein O ptimal T ransport to A lign S ingle-cell M ulti-omics D ata
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Moment Sum-of-Squares Hierarchy for Gromov Wasserstein: Continuous Extensions and Sample Complexity
A continuous version of the moment-SOS hierarchy for Gromov-Wasserstein distance is introduced, with proof of convergence, pseudo-metric structure, and sample-complexity bounds.