38 citations · 134 across the 17 of their papers we have counts for
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stat.ML2019★ 13 cited
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space
Quentin Mérigot, Alex Delalande, Frédéric Chazal
This work studies an explicit embedding of the set of probability measures into a Hilbert space, defined using optimal transport maps from a reference probability density. This emb…
math.MG2019★ 5 cited
One more proof of the Alexandrov-Fenchel inequality
D. Cordero-Erausquin, B. Klartag, Q. Merigot +1
We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.