Search Results for author: Adrien Vacher

Found 2 papers, 0 papers with code

Near-optimal estimation of smooth transport maps with kernel sums-of-squares

no code implementations3 Dec 2021 Boris Muzellec, Adrien Vacher, Francis Bach, François-Xavier Vialard, Alessandro Rudi

It was recently shown that under smoothness conditions, the squared Wasserstein distance between two distributions could be efficiently computed with appealing statistical error upper bounds.

A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation

no code implementations13 Jan 2021 Adrien Vacher, Boris Muzellec, Alessandro Rudi, Francis Bach, Francois-Xavier Vialard

It is well-known that plug-in statistical estimation of optimal transport suffers from the curse of dimensionality.

Statistics Theory Optimization and Control Statistics Theory 62G05

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