IC-POT replaces global rejection in partial OT with pointwise costs over both measures, admits a dual with local thresholds, reduces to balanced OT on augmented support, and shows gains in PU learning, domain adaptation, and satellite ocean data.
Proceedings of the 21st International Conference on Artificial Intelligence and Statistics , year=
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Take It or Leave It: Intent-Controlled Partial Optimal Transport
IC-POT replaces global rejection in partial OT with pointwise costs over both measures, admits a dual with local thresholds, reduces to balanced OT on augmented support, and shows gains in PU learning, domain adaptation, and satellite ocean data.