Take It or Leave It: Intent-Controlled Partial Optimal Transport

ArXi:2605.20030v1 Announce Type: new While optimal transport (OT) enforces a rigid constraint by requiring two measures to be matched exactly, partial optimal transport relaxes this requirement by allowing mass to remain unmatched through a global budget, scalar rebate, or uniform rejection rule. However, many applications call for structured, pointwise rejection mechanisms, where the decision to leave mass unmatched depends on side-specific reliability, geometry, or external information about which components should participate in the comparison. We