45 citations · 204 across the 11 of their papers we have counts for
4 papers · 1 filter
Near-optimal estimation of smooth transport maps with kernel sums-of-squares
Boris Muzellec, Adrien Vacher, Francis Bach +2
It was recently shown that under smoothness conditions, the squared Wasserstein distance between two distributions could be efficiently computed with appealing statistical error up…
Learning PSD-valued functions using kernel sums-of-squares
Boris Muzellec, Francis Bach, Alessandro Rudi
Shape constraints such as positive semi-definiteness (PSD) for matrices or convexity for functions play a central role in many applications in machine learning and sciences, includ…
A Note on Optimizing Distributions using Kernel Mean Embeddings
Boris Muzellec, Francis Bach, Alessandro Rudi
Kernel mean embeddings are a popular tool that consists in representing probability measures by their infinite-dimensional mean embeddings in a reproducing kernel Hilbert space. Wh…
A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation
Adrien Vacher, Boris Muzellec, Alessandro Rudi +2
It is well-known that plug-in statistical estimation of optimal transport suffers from the curse of dimensionality. Despite recent efforts to improve the rate of estimation with th…