Search Results for author: Clément Sarrazin

Found 2 papers, 0 papers with code

Transfer Operators from Batches of Unpaired Points via Entropic Transport Kernels

no code implementations13 Feb 2024 Florian Beier, Hancheng Bi, Clément Sarrazin, Bernhard Schmitzer, Gabriele Steidl

In this paper, we are concerned with estimating the joint probability of random variables $X$ and $Y$, given $N$ independent observation blocks $(\boldsymbol{x}^i,\boldsymbol{y}^i)$, $i=1,\ldots, N$, each of $M$ samples $(\boldsymbol{x}^i,\boldsymbol{y}^i) = \bigl((x^i_j, y^i_{\sigma^i(j)}) \bigr)_{j=1}^M$, where $\sigma^i$ denotes an unknown permutation of i. i. d.

Non-asymptotic convergence bounds for Wasserstein approximation using point clouds

no code implementations NeurIPS 2021 Quentin Merigot, Filippo Santambrogio, Clément Sarrazin

A common way to do so relies on the construction of a uniform probability distribution over a set of $N$ points which minimizes the Wasserstein distance to the model distribution.

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