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Minimax Private Estimation of Smooth Optimal-Transport Maps

Differentially private wavelet estimators achieve near-minimax rates for smooth optimal transport maps in dimensions above one and minimax rates in one dimension, with matching lower bounds confirming optimality.

Clément Lalanne, David Rodríguez-Vítores, Franck Iutzeler, Jean-Michel Loubes

Paris Poster Session 5, Fri, Dec 11, 11:30 AM–1:30 PM, Paris Poster Hall · Published 2026

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AI panel: 7 of 20 reviewers recommend it
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