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An Optimal Transport Approach to Robust Reconstruction and Simplification of ...
International audience -
Numerical solution of the second boundary value problem for the Elliptic Mong...
This paper introduces a numerical method for the solution of the nonlinear elliptic Monge-Ampére equation. The boundary conditions correspond to the optimal... -
Feature-Preserving Surface Reconstruction and Simplification from Defect-Lade...
We propose a robust, feature-preserving surface reconstruction algorithm which turns a point set with noise and outliers into a low triangle-count simplicial complex.... -
Geometric Inference for Probability Measures
International audience -
Maximum Maximum of Martingales given Marginals
We consider the problem of superhedging under volatility uncertainty for an investor allowed to dynamically trade the underlying asset and statically trade European... -
Feature-Preserving Surface Reconstruction and Simplification from Defect-Lade...
International audience -
A geometric study of Wasserstein spaces: ultrametrics
v2 adds a second proof of the estimate on the size of Wasserstein space, which is more elementary but less likely to generalize, as well as an example cited in the abstract.... -
Ricci curvature on polyhedral surfaces via optimal transportation
International audience
