Estimators for transport-growth pairs in unbalanced OT achieve minimax optimal rates, supported by a value-based stability reduction through a UOT gap condition.
Stability bounds for smooth optimal transport maps and their statistical implications
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The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.
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Minimax Optimal Estimation of Transport-Growth Pairs in Unbalanced Optimal Transport
Estimators for transport-growth pairs in unbalanced OT achieve minimax optimal rates, supported by a value-based stability reduction through a UOT gap condition.
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Stability of the Kim--Milman flow map
The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.