A new estimator for Monge transport maps is proposed based on Brenier potentials with convergence rates in semi-discrete settings.
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3 Pith papers cite this work. Polarity classification is still indexing.
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A new constrained gradient flow on the space of transport maps converges to the OT map and enables more stable and accurate training of convexity-constrained neural networks for learning Monge maps.
The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.
citing papers explorer
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Statistical Estimation of Monge Transport Maps via Brenier Potentials
A new estimator for Monge transport maps is proposed based on Brenier potentials with convergence rates in semi-discrete settings.
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Learning Monge maps with constrained drifting models
A new constrained gradient flow on the space of transport maps converges to the OT map and enables more stable and accurate training of convexity-constrained neural networks for learning Monge maps.
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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.