A new estimator for Monge transport maps is proposed based on Brenier potentials with convergence rates in semi-discrete settings.
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2026 2verdicts
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Entropic optimal transport yields a clustering loss with the same global optimum as log-likelihood but a better-behaved optimization surface, outperforming standard EM in experiments.
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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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On Model-Based Clustering With Entropic Optimal Transport
Entropic optimal transport yields a clustering loss with the same global optimum as log-likelihood but a better-behaved optimization surface, outperforming standard EM in experiments.