ASPOT achieves O(n^{7/3} ε^{-5/3}) complexity for partial optimal transport via Nesterov-accelerated alternating minimization, plus an improved gamma choice for classical Sinkhorn.
Reformulating POT as Extended OT It has been shown in [17, 18] that the POT problem can be reformulated as a standard OT problem by introducing slack variables and dummy nodes
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Accelerated Sinkhorn Algorithms for Partial Optimal Transport
ASPOT achieves O(n^{7/3} ε^{-5/3}) complexity for partial optimal transport via Nesterov-accelerated alternating minimization, plus an improved gamma choice for classical Sinkhorn.